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E-raamat: Periodic Review Inventory Systems: Performance Analysis and Optimization of Inventory Systems within Supply Chains

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Firstly, this book provides an introduction into fundamental structural and behavioral aspects of periodic review inventory systems. Secondly, it includes a comprehensive study on analytical and optimization aspects of a specific class of those systems.



The focus of the work is twofold. First, it provides an introduction into fundamental structural and behavioral aspects of periodic review inventory systems. Second, it includes a comprehensive study on analytical and optimization aspects of a specific class of those systems. For the latter purpose, general solution methods for problems of inventory management in discrete time are described and developed along with highly specialized methods to solve very specific problems related to the model variants examined. The work is thus addressed to students and practitioners who seek a deeper understanding of managing inventories in discrete time as well as to software developers who require implementation aids on specific problems of inventory management.

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The study text deals with management of inventories with periodic review policies. It provides not only structural and behavioral aspects of periodic review inventory systems but it also investigates the corresponding analytical and optimization aspects in some special cases. The text can be useful for students, practitioners and software developers dealing with problems of inventory management. (Tomá Cipra, Zentralblatt MATH, Vol. 1220, 2011)

1 Introduction
1(4)
1.1 Subject Matter
1(1)
1.2 Purpose and Problem Definition
2(1)
1.3 Outline
3(2)
2 Concepts and Definitions
5(16)
2.1 State of an Inventory System
5(2)
2.2 Classification
7(4)
2.2.1 Structure
7(1)
2.2.2 Environmental Parameters
7(2)
2.2.3 Replenishment Policies
9(1)
2.2.4 Summary of Model Assumptions
10(1)
2.3 Performance Indicators
11(10)
2.3.1 Costs
11(2)
2.3.2 Service Metrics
13(8)
3 Literature Overview
21(22)
3.1 Continuous Review Models
22(6)
3.1.1 Pure Cost View
22(4)
3.1.2 Performance View
26(2)
3.2 Periodic Review Models
28(6)
3.2.1 Pure Cost View
28(4)
3.2.2 Performance View
32(2)
3.3 Selected Studies
34(9)
3.3.1 Van der Heijden and De Kok (1992)
35(3)
3.3.2 Chen and Zheng (1992)
38(2)
3.3.3 Tempelmeier (2000)
40(3)
4 Basic Methods
43(14)
4.1 Approximation of the Quantile Function
43(2)
4.2 Convolution of Random Variables
45(7)
4.2.1 Continuous Distributions
46(1)
4.2.2 Discrete Distributions
47(5)
4.3 Mass Integral of the Normal Distribution
52(2)
4.4 Truncated Distributions
54(1)
4.5 Mixed Distributions
55(2)
5 Replenishment Processes
57(24)
5.1 Non-Interchangeability
57(1)
5.2 Order Crossover
58(18)
5.2.1 Outstanding Orders
60(3)
5.2.2 Inventory Shortfall
63(2)
5.2.3 Effective Lead Time
65(11)
5.3 Sequential Arrivals
76(3)
5.4 Limited Distributions
79(2)
6 Analysis and Optimization
81(56)
6.1 Model Formulation and Notation
82(1)
6.2 Example Configurations
82(1)
6.3 Analysis
82(42)
6.3.1 Dependent Lead Times, Order View
83(7)
6.3.2 Dependent Lead Times, Volume View, Split Deliveries
90(10)
6.3.3 Dependent Lead Times, Volume View, Full Deliveries
100(9)
6.3.4 Order Crossover, Order View
109(3)
6.3.5 Order Crossover, Volume View, Split Deliveries
112(4)
6.3.6 Order Crossover, Volume View, Full Deliveries
116(8)
6.4 Optimization
124(13)
6.4.1 Split Deliveries
125(10)
6.4.2 Full Deliveries
135(2)
7 Conclusion
137(4)
References 141(8)
Glossary of Symbols 149
Thomas Wensing received his diploma in Information Science from the University of Cologne and his Ph.D. from the Catholic University of Eichstätt-Ingolstadt. After being a research assistant at the latter institution, he is nowadays working at the INFORM GmbH Aachen as a specialist for methods of Operations Research.