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E-raamat: Interactive Decision Maps: Approximation and Visualization of Pareto Frontier

  • Formaat: PDF+DRM
  • Sari: Applied Optimization 89
  • Ilmumisaeg: 27-Nov-2013
  • Kirjastus: Springer-Verlag New York Inc.
  • Keel: eng
  • ISBN-13: 9781441988515
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  • Formaat: PDF+DRM
  • Sari: Applied Optimization 89
  • Ilmumisaeg: 27-Nov-2013
  • Kirjastus: Springer-Verlag New York Inc.
  • Keel: eng
  • ISBN-13: 9781441988515

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Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background. Part I is written in a simple form and can be assessed by any computer-literate person interested in the application of visualization methods in decision making. This part will be of interest to specialists and students in various fields related to decision making including environmental studies, management, business, engineering, etc. In Part II computational methods are introduced in a relatively simple form. This part will be of interest to specialists and students in the field of applied optimization, operations research and computer science. Part III is written for specialists and students in applied mathematics interested in the theoretical basis of modern optimization. Due to this structure, the parts can be read independently. For example, students interested in environmental applications could restrict themselves to Part I and the Epilogue. In contrast, those who are interested in computational methods can skip Part I and read Part II only. Finally, specialists, who are interested in the theory of approximation of multi-dimensional convex sets or in estimation of disturbances of polyhedral sets, can read the corresponding chapters of Part III.

Arvustused

From the reviews:









"This book is devoted to the application of computer visualization in the framework of multi-criteria optimization. The book under review may be recommended for users and theoreticians in the decision making field." (Krzysztof Piasecki, Zentralblatt MATH, Vol. 1103, 2007)

Muu info

Springer Book Archives
Foreword xi
Preface xiii
Acknowledgments xxi
Part I Environmental, Business and Other Applications of Interactive Decision Maps
1 Introduction To Interactive Decision Maps
3(32)
1 Visualization in decision screening
3(4)
2 Visualization of the Pareto frontier in a regional environmental problem
7(9)
3 Interactive Decision Maps
16(5)
4 The FGM/IDM technique
21(8)
5 Computational aspects of the IDM technique
29(6)
2 Academic Applications
35(34)
1 Ocean waste management decisions
36(4)
2 Search for efficient water-related strategies of regional agricultural development
40(8)
3 Analysis of long-term development of a national economy
48(5)
4 Searching for trans-boundary air pollution control strategies
53(7)
5 Searching for smart strategies for abatement of global climate change
60(9)
3 Real-Life Applications
69(30)
1 On the real-life application of decision support techniques: identification of national goals
69(5)
2 DSS for water quality planning in river basins
74(7)
3 DSS for screening of water quality improvement plans
81(18)
4 Reasonable Goals Method And Its Applications
99(30)
1 Introduction to the Reasonable Goals Method
100(9)
2 RGM in water quality planning
109(2)
3 Screening of national energy production strategies
111(4)
4 Selection of a location for rural health practice
115(4)
5 RGM on the Web: application server for e-commerce
119(5)
6 Several other applications
124(2)
7 RGM as a tool for database visualization, data mining and cost-benefit analysis
126(3)
5 Non-Linear Systems And Other New Developments
129(36)
1 Feasible Goals Method for non-linear models
129(11)
2 FGM/IDM technique for non-linear models
140(6)
3 RGM/IDM technique for non-linear models
146(1)
4 Visualization of risk-related decision problems
147(7)
5 Visualization in Data Envelopment Analysis
154(11)
Part II Computational Methods of the IDM Technique
6 Computational Methods For Static Models
165(54)
1 Methods based on convolution of linear inequalities
170(12)
2 Methods for polyhedral approximation of convex bodies
182(17)
3 Approximating the Edgeworth---Pareto Hull in the convex case
199(2)
4 Approximating the FCS for non-linear models
201(9)
5 Approximating the EPH in the non-linear case
210(9)
7 Computational Methods For Dynamic Systems
219(18)
1 Approximation of FCSs and EPHs for dynamic systems
220(3)
2 Approximation of reachable sets for convex systems
223(2)
3 Reduction-based methods for constructing reachable sets
225(5)
4 Approximating and estimating reachable sets for non-convex systems
230(1)
5 Approximating the FCS for systems in partial derivatives
231(6)
Part III Several Topics Related to Mathematical Basis of IDM
8 Theory Of Iterative Methods For Polyhedral Approximation Of Convex Bodies
237(26)
1 Polyhedral approximation of compact convex bodies
237(2)
2 Asymptotic theory of polyhedral approximation of compact convex bodies
239(5)
3 Augmentation and cutting schemes
244(2)
4 H-classes of adaptive methods
246(3)
5 Optimality and efficiency of H-methods
249(1)
6 Optimality and efficiency of H1-methods
250(7)
7 Several optimal methods for polyhedral approximation of CCB
257(3)
8 Related topics
260(3)
9 Perturbations Of Solution Sets Of Linear Systems
263(16)
1 Perturbations of convex bodies given by linear mappings
264(2)
2 Perturbations of solution sets of linear systems in Banach space
266(3)
3 Perturbations of solution sets of finite-dimensional linear inequality systems
269(4)
4 Perturbations of solution sets of linear systems of equalities and inequalities
273(2)
5 Perturbations of solution sets of linear equality systems
275(1)
6 Condition number for finite-dimensional systems and its application
276(3)
Epilogue: New applications of IDM technique in Web 279(10)
References 289(14)
Author Index 303(4)
Index 307