Chapter 1 Introduction to Managerial Decision Modeling |
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1 | (32) |
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1.1 What is Decision Modeling? |
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2 | (1) |
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1.2 Types of Decision Models |
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3 | (3) |
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3 | (1) |
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4 | (1) |
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Quantitative versus Qualitative Data |
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5 | (1) |
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Using Spreadsheets in Decision Modeling |
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5 | (1) |
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1.3 Steps Involved in Decision Modeling |
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6 | (5) |
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7 | (2) |
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9 | (1) |
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Step 3: Interpretation and Sensitivity Analysis |
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10 | (1) |
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1.4 Spreadsheet Example of a Decision Model: Tax Computation |
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11 | (5) |
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1.5 Spreadsheet Example of a Decision Model: Break-Even Analysis |
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16 | (5) |
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Using Goal Seek to Find the Break-Even Point |
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18 | (3) |
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1.6 Possible Problems in Developing Decision Models |
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21 | (3) |
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21 | (1) |
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22 | (1) |
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22 | (1) |
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23 | (1) |
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23 | (1) |
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23 | (1) |
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1.7 Implementation-Not lust the Final Step |
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24 | (1) |
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24 | (3) |
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27 | (6) |
Chapter 2 Linear Programming Models: Graphical and Computer Methods |
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33 | (68) |
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34 | (1) |
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2.2 Developing a Linear Programming Model |
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35 | (3) |
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35 | (1) |
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35 | (1) |
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Interpretation and Sensitivity Analysis |
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36 | (1) |
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Properties of a Linear Programming Model |
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36 | (1) |
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Basic Assumptions of a Linear Programming Model |
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37 | (1) |
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2.3 Formulating a Linear Programming Problem |
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38 | (5) |
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Linear Programming Example: Flair Furniture Company |
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38 | (1) |
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39 | (1) |
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39 | (1) |
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40 | (1) |
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Nonnegativity Constraints and Integer Values |
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41 | (1) |
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Guidelines for Developing a Correct LP Model |
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41 | (2) |
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2.4 Graphical Solution of a Linear Programming Problem with Two Variables |
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43 | (11) |
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Graphical Representation of Constraints |
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43 | (3) |
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46 | (1) |
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47 | (1) |
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Identifying an Optimal Solution by Using Level Lines |
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48 | (3) |
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Identifying an Optimal Solution by Using All Corner Points |
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51 | (1) |
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Comments on Flair Furniture's Optimal Solution |
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52 | (1) |
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Extension to Flair Furniture's LP Model |
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52 | (2) |
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2.5 A Minimization Linear Programming Problem |
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54 | (4) |
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Holiday Meal Turkey Ranch |
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55 | (1) |
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Graphical Solution of the Holiday Meal Turkey Ranch Problem |
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56 | (2) |
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2.6 Special Situations in Solving Linear Programming Problems |
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58 | (4) |
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58 | (1) |
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59 | (1) |
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Alternate Optimal Solutions |
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60 | (1) |
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61 | (1) |
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2.7 Setting Up and Solving Linear Programming Problems Using Excel's Solver |
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62 | (17) |
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Using Solver to Solve the Flair Furniture Problem |
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63 | (2) |
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65 | (2) |
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Creating Cells for Constraint RHS Values |
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67 | (1) |
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Entering Information in Solver |
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68 | (8) |
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Using Solver to Solve Flair Furniture Company's Modified Problem |
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76 | (1) |
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Using Solver to Solve the Holiday Meal Turkey Ranch Problem |
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77 | (2) |
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2.8 Algorithmic Solution Procedures for Linear Programming Problems |
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79 | (1) |
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80 | (5) |
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85 | (16) |
Chapter 3 Linear Programming Modeling Applications with Computer Analyses in Excel |
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101 | (80) |
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3.1 Using-Linear Programming to Solve Real-World Problems |
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102 | (1) |
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3.2 Manufacturing Applications |
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103 | (9) |
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103 | (5) |
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Make-Buy Decision Problem |
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108 | (4) |
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3.3 Marketing Applications |
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112 | (6) |
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112 | (1) |
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Marketing Research Problem |
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113 | (5) |
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118 | (5) |
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Portfolio Selection Problem |
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118 | (3) |
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Alternate Formulations of the Portfolio Selection Problem |
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121 | (2) |
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3.5 Employee Staffing Applications |
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123 | (4) |
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123 | (4) |
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Extensions to the Labor Planning Problem |
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127 | (1) |
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127 | (1) |
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3.6 Transportation Applications |
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127 | (7) |
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127 | (5) |
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Expanded Vehicle Loading Problem-Allocation Problem |
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132 | (1) |
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133 | (1) |
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3.7 Blending Applications |
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134 | (7) |
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134 | (2) |
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136 | (5) |
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3.8 Multiperiod Applications |
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141 | (10) |
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Production Scheduling Problem |
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141 | (6) |
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147 | (4) |
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151 | (2) |
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153 | (28) |
Chapter 4 Linear Programming Sensitivity Analysis |
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181 | (58) |
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4.1 Importance of Sensitivity Analysis |
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182 | (1) |
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Why Do We Need Sensitivity Analysis? |
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182 | (1) |
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4.2 Sensitivity Analysis Using Graphs |
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183 | (10) |
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Types of Sensitivity Analysis |
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185 | (1) |
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Impact of Changes in an Objective Function Coefficient |
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185 | (2) |
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Impact of Changes in a Constraint's Right-Hand-Side Value |
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187 | (6) |
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4.3 Sensitivity Analysis Using Solver Reports |
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193 | (7) |
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194 | (1) |
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195 | (1) |
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Impact of Changes in a Constraint's RHS Value |
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196 | (2) |
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Impact of Changes in an Objective Function Coefficient |
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198 | (2) |
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4.4 Sensitivity Analysis for a Larger Maximization Example |
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200 | (6) |
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Anderson Home Electronics Example |
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200 | (3) |
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Some Questions We Want Answered |
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203 | (2) |
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Alternate Optimal Solutions |
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205 | (1) |
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4.5 Analyzing Simultaneous Changes by Using the 100% Rule |
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206 | (1) |
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Simultaneous Changes in Constraint RHS Values |
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206 | (1) |
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Simultaneous Changes in OFC Values |
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207 | (1) |
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4.6 Pricing Out New Variables |
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207 | (4) |
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Anderson's Proposed New Product |
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207 | (4) |
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4.7 Sensitivity Analysis for a Minimization Example |
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211 | (5) |
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Burn-Off Diet Drink Example |
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211 | (1) |
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Burn-Off's Excel Solution |
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212 | (1) |
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Answering Sensitivity Analysis Questions for Burn-Off |
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213 | (3) |
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216 | (2) |
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218 | (21) |
Chapter 5 Transportation, Assignment, and Network Models |
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239 | (64) |
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5.1 Types of Network Models |
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239 | (3) |
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240 | (1) |
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240 | (1) |
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240 | (1) |
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241 | (1) |
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241 | (1) |
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Minimal-Spanning Tree Model |
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241 | (1) |
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241 | (1) |
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5.2 Characteristics of Network Models |
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242 | (2) |
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242 | (1) |
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243 | (1) |
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243 | (1) |
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244 | (8) |
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LP Formulation for Executive Furniture's Transportation Model |
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246 | (1) |
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Solving the Transportation Model Using Excel |
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247 | (2) |
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Unbalanced Transportation Models |
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249 | (2) |
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Alternate Optimal Solutions |
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251 | (1) |
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An Application of the Transportation Model: Facility Location |
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251 | (1) |
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5.4 Transportation Models with Max-Min and Min-Max Objectives |
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252 | (4) |
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256 | (6) |
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Executive Furniture Company Example-Revisited |
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256 | (1) |
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LP Formulation for Executive Furniture's Transshipment Model |
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256 | (2) |
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Lopez Custom Outfits-A Larger Transshipment Example |
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258 | (1) |
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LP Formulation for Lopez Custom Outfits Transshipment Model |
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259 | (3) |
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262 | (6) |
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263 | (1) |
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Solving Assignment Models |
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264 | (2) |
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LP Formulation for Fix-It Shop's Assignment Model |
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266 | (2) |
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268 | (4) |
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Road System in Waukesha, Wisconsin |
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268 | (1) |
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LP Formulation for Waukesha Road System's Maximal-Flow Model |
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269 | (3) |
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272 | (4) |
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273 | (1) |
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LP Formulation for Ray Design Inc.'s Shortest-Path Model |
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274 | (2) |
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5.9 Minimal-Spanning Tree Model |
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276 | (3) |
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Lauderdale Construction Company Example |
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276 | (3) |
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279 | (3) |
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282 | (21) |
Chapter 6 Integer, Goal, and Nonlinear Programming Models |
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303 | (80) |
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6.1 Models That Relax Linear Programming Conditions |
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304 | (1) |
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Integer Programming Models |
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304 | (1) |
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305 | (1) |
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Nonlinear Programming Models |
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305 | (1) |
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6.2 Models with General Integer Variables |
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305 | (12) |
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Harrison Electric Company |
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306 | (3) |
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Using Solver to Solve Models with General Integer Variables |
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309 | (4) |
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313 | (2) |
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Should We Include Integer Requirements in a Model? |
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315 | (2) |
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6.3 Models with Binary Variables |
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317 | (8) |
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Portfolio Selection at Simkin and Steinberg |
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317 | (5) |
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Set-Covering Problem at Sussex County |
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322 | (3) |
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6.4 Mixed Integer Models: Fixed-Charge Problems |
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325 | (6) |
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Locating a New Factory for Hardgrave Machine Company |
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326 | (5) |
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6.5 Goal Programming Models |
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331 | (13) |
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Goal Programming Example: Wilson Doors Company |
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331 | (4) |
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Solving Goal Programming Models with Weighted Goals |
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335 | (3) |
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Solving Goal Programming Models with Ranked Goals |
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338 | (6) |
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Comparing the Two Approaches for Solving GP Models |
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344 | (1) |
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6.6 Nonlinear Programming Models |
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344 | (10) |
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Why Are NLP Models Difficult to Solve? |
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345 | (2) |
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Solving Nonlinear Programming Models Using Solver |
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347 | (7) |
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Computational Procedures for Nonlinear Programming Problems |
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354 | (1) |
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354 | (3) |
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357 | (26) |
Chapter 7 Project Management |
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383 | (66) |
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7.1 Planning, Scheduling, and Controlling Projects |
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384 | (3) |
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Phases in Project Management |
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384 | (3) |
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Use of Software Packages in Project Management |
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387 | (1) |
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387 | (7) |
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388 | (1) |
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Identifying Activity Times and Other Resources |
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389 | (1) |
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Project Management Techniques: PERT and CPM |
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389 | (2) |
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Project Management Example: General Foundry, Inc. |
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391 | (1) |
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Drawing the Project Network |
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392 | (2) |
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7.3 Determining the Project Schedule |
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394 | (8) |
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396 | (2) |
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398 | (1) |
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Calculating Slack Time and Identifying the Critical Path(s) |
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399 | (2) |
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Total Slack Time versus Free Slack Time |
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401 | (1) |
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7.4 Variability in Activity Times |
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402 | (8) |
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403 | (3) |
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Probability of Project Completion |
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406 | (2) |
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Determining Project Completion Time for a Given Probability |
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408 | (1) |
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Variability in Completion Time of Noncritical Paths |
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409 | (1) |
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7.5 Managing Project Costs and Other Resources |
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410 | (7) |
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Planning and Scheduling Project Costs: Budgeting Process |
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410 | (3) |
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Monitoring and Controlling Project Costs |
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413 | (2) |
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415 | (2) |
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417 | (8) |
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Crashing General Foundry's Project (Hand Calculations) |
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418 | (3) |
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Crashing General Foundry's Project Using Linear Programming |
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421 | (3) |
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Using Linear Programming to Determine Earliest and Latest Starting Times |
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424 | (1) |
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425 | (4) |
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429 | (20) |
Chapter 8 Decision Analysis |
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449 | (60) |
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8.1 What is Decision Analysis? |
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450 | (1) |
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8.2 The Five Steps in Decision Analysis |
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450 | (3) |
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Thompson Lumber Company Example |
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451 | (2) |
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8.3 Types of Decision-Making Environments |
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453 | (1) |
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8.4 Decision Making Under Uncertainty |
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454 | (7) |
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455 | (1) |
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455 | (1) |
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Criterion of Realism (Hurwicz) |
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456 | (1) |
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Equally Likely (Laplace) Criterion |
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457 | (1) |
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457 | (1) |
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Using Excel to Solve Decision-Making Problems under Uncertainty |
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458 | (3) |
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8.5 Decision Making Under Risk |
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461 | (5) |
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461 | (1) |
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Expected Opportunity Loss |
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462 | (1) |
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Expected Value of Perfect Information |
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463 | (1) |
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Using Excel to Solve Decision-Making Problems under Risk |
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464 | (2) |
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466 | (3) |
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Folding Back a Decision Tree |
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467 | (2) |
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8.7 Decision Trees for Multistage Decision-Making Problems |
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469 | (6) |
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A Multistage Decision-Making Problem for Thompson Lumber |
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469 | (1) |
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Expanded Decision Tree for Thompson Lumber |
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470 | (2) |
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Folding Back the Expanded Decision Tree for Thompson Lumber |
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472 | (2) |
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Expected Value of Sample Information |
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474 | (1) |
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8.8 Estimating Probability Values Using Bayesian Analysis |
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475 | (3) |
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Calculating Revised Probabilities |
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476 | (2) |
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Potential Problems in Using Survey Results |
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478 | (1) |
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478 | (7) |
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Measuring Utility and Constructing a Utility Curve |
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479 | (4) |
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Utility as a Decision-Making Criterion |
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483 | (2) |
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485 | (3) |
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488 | (21) |
Chapter 9 Queuing Models |
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509 | (56) |
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9.1 The Importance of Queuing Theory |
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510 | (1) |
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Approaches for Analyzing Queues |
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510 | (1) |
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511 | (2) |
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9.3 Characteristics of a Queuing System |
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513 | (8) |
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513 | (3) |
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516 | (1) |
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Service Facility Characteristics |
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516 | (3) |
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Measuring the Queue's Performance |
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519 | (1) |
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Kendall's Notation for Queuing Systems |
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520 | (1) |
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Variety of Queuing Models Studied Here |
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520 | (1) |
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521 | (8) |
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Assumptions of the M/M/1 Queuing Model |
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521 | (1) |
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Operating Characteristic Equations for an M/M/1 Queuing System |
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522 | (1) |
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Arnold's Muffler Shop Example |
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523 | (1) |
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Using ExcelModules for Queuing Model Computations |
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524 | (3) |
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Cost Analysis of the Queuing System |
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527 | (1) |
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Increasing the Service Rate |
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528 | (1) |
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529 | (4) |
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Operating Characteristic Equations for an M/M/s Queuing System |
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530 | (1) |
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Arnold's Muffler Shop Revisited |
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531 | (2) |
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Cost Analysis of the Queuing System |
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533 | (1) |
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533 | (3) |
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Operating Characteristic Equations for an M/D/1 Queuing System |
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534 | (1) |
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Garcia-Golding Recycling, Inc. |
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535 | (1) |
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Cost Analysis of the Queuing System |
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536 | (1) |
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536 | (4) |
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Operating Characteristic Equations for an M/G/1 Queuing System |
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537 | (1) |
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Meetings with Professor Crino |
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537 | (2) |
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Using Excel's Goal Seek to Identify Required Model Parameters |
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539 | (1) |
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9.8 M/M/S/infinity/N Queuing System |
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540 | (6) |
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Operating Characteristic Equations for the Finite Population Queuing System |
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542 | (1) |
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Department of Commerce Example |
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543 | (1) |
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Cost Analysis of the Queuing System |
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544 | (2) |
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9.9 More Complex Queuing Systems |
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546 | (1) |
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547 | (4) |
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551 | (14) |
Chapter 10 Simulation Modeling |
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565 | (82) |
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10.1 Why Create a Simulation? |
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566 | (3) |
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566 | (2) |
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Advantages and Disadvantages of Simulation |
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568 | (1) |
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10.2 Monte Carlo Simulation |
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569 | (5) |
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Step 1: Establish a Probability Distribution for Each Variable |
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570 | (1) |
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Step 2: Simulate Values from the Probability Distributions |
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571 | (2) |
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Step 3: Repeat the Process for a Series of Replications |
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573 | (1) |
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10.3 Role of Computers in Simulation |
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574 | (8) |
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Types of Simulation Software Packages |
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575 | (1) |
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Random Generation from Some Common Probability Distributions Using Excel |
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575 | (7) |
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10.4 Simulation Model to Compute Expected Profit |
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582 | (9) |
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583 | (2) |
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Replication by Copying the Model |
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585 | (1) |
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Replication Using Data Table |
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586 | (1) |
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587 | (4) |
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10.5 Simulation Model of an Inventory Problem |
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591 | (10) |
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591 | (2) |
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593 | (3) |
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596 | (1) |
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Replication Using Data Table |
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596 | (1) |
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597 | (1) |
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Using Scenario Manager to Include Decisions in a Simulation Model |
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598 | (3) |
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601 | (1) |
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10.6 Simulation Model of a Queuing Problem |
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601 | (4) |
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601 | (1) |
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602 | (2) |
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Replication Using Data Table |
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604 | (1) |
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604 | (1) |
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10.7 Simulation Model of a Revenue Management Problem |
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605 | (5) |
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Judith's Airport Limousine Service |
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605 | (1) |
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606 | (2) |
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Replicating the Model Using Data Table and Scenario Manager |
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608 | (1) |
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609 | (1) |
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10.8 Other Types of Simulation Models |
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610 | (1) |
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610 | (1) |
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610 | (1) |
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611 | (4) |
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615 | (32) |
Chapter 11 Forecasting Models |
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647 | (84) |
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11.1 What is Forecasting? |
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648 | (1) |
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649 | (1) |
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650 | (1) |
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650 | (1) |
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650 | (1) |
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11.3 Qualitative Forecasting Models |
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650 | (1) |
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11.4 Measuring Forecast Error |
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651 | (1) |
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11.5 Basic Time-Series Forecasting Models |
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652 | (16) |
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Components of a Time Series |
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653 | (1) |
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Stationary and Nonstationary Time-Series Data |
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654 | (1) |
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654 | (1) |
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Using ExcelModules for Forecasting Model Computations |
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655 | (4) |
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659 | (5) |
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664 | (4) |
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11.6 Trend and Seasonality in Time-Series Data |
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668 | (10) |
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668 | (1) |
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669 | (3) |
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Least-Squares Procedure for Developing a Linear Trend Line |
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672 | (4) |
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676 | (2) |
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11.7 Decomposition of a Time Series |
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678 | (6) |
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Multiplicative Decomposition Example: Sawyer Piano House |
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678 | (1) |
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Using ExcelModules for Multiplicative Decomposition |
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679 | (5) |
|
11.8 Causal Forecasting Models: Simple and Multiple Regression |
|
|
684 | (21) |
|
Causal Simple Regression Model |
|
|
684 | (2) |
|
Causal Simple Regression Using ExcelModules |
|
|
686 | (6) |
|
Causal Simple Regression Using Excel's Analysis ToolPak (Data Analysis) |
|
|
692 | (4) |
|
Causal Multiple Regression Model |
|
|
696 | (1) |
|
Causal Multiple Regression Using ExcelModules |
|
|
696 | (4) |
|
Causal Multiple Regression Using Excel's Analysis ToolPak (Data Analysis) |
|
|
700 | (5) |
|
|
705 | (5) |
|
|
710 | (21) |
Appendix A: Probability Concepts and Applications |
|
731 | (36) |
|
|
731 | (2) |
|
|
732 | (1) |
|
A.2 Mutually Exclusive and Collectively Exhaustive Events |
|
|
733 | (3) |
|
Adding Mutually Exclusive Events |
|
|
734 | (1) |
|
Law of Addition for Events that Are Not Mutually Exclusive |
|
|
735 | (1) |
|
A.3 Statistically Independent Events |
|
|
736 | (1) |
|
A.4 Statistically Dependent Events |
|
|
737 | (3) |
|
A.5 Revising Probabilities with Bayes' Theorem |
|
|
740 | (2) |
|
General Form of Bayes' Theorem |
|
|
741 | (1) |
|
A.6 Further Probability Revisions |
|
|
742 | (1) |
|
|
743 | (2) |
|
A.8 Probability Distributions |
|
|
745 | (5) |
|
Probability Distribution of a Discrete Random Variable |
|
|
745 | (2) |
|
Expected Value of a Discrete Probability Distribution |
|
|
747 | (1) |
|
Variance of a Discrete Probability Distribution |
|
|
747 | (1) |
|
Probability Distribution of a Continuous Random Variable |
|
|
748 | (2) |
|
A.9 The Normal Distribution |
|
|
750 | (6) |
|
Area under the Normal Curve |
|
|
751 | (1) |
|
Using the Standard Normal Table |
|
|
752 | (1) |
|
Haynes Construction Company Example |
|
|
753 | (3) |
|
A.10 The Exponential Distribution |
|
|
756 | (1) |
|
A.11 The Poisson Distribution |
|
|
757 | (1) |
|
|
758 | (2) |
|
|
760 | (7) |
Appendix B: Useful Excel 2016 Commands and Procedures for Installing ExcelModules |
|
767 | (20) |
|
|
767 | (1) |
|
|
767 | (2) |
|
Organization of a Worksheet |
|
|
768 | (1) |
|
Navigating through a Worksheet |
|
|
769 | (1) |
|
B.3 The Ribbon, Toolbars, and Tabs |
|
|
769 | (6) |
|
|
774 | (1) |
|
B.4 Working with Worksheets |
|
|
775 | (1) |
|
B.5 Using Formulas and Functions |
|
|
775 | (5) |
|
|
779 | (1) |
|
Errors in Using Formulas and Functions |
|
|
779 | (1) |
|
|
780 | (1) |
|
B.7 Excel Options and Add-Ins |
|
|
781 | (3) |
|
|
784 | (3) |
|
|
784 | (1) |
|
|
784 | (2) |
|
ExcelModules Help and Options |
|
|
786 | (1) |
Appendix C: Areas Under The Standard Normal Curve |
|
787 | (2) |
Appendix D: Brief Solutions to All Odd-Numbered End-Of-Chapter Problems |
|
789 | (6) |
Index |
|
795 | |