Interactive decision maps : approximation and visualization of pareto frontier交互式决定地图

作者： Alexander V. Lotov著

出 版 社： 化学工业出版社

出版时间： 2004-2-29字数：版次： 1页数： 310印刷时间： 2004/02/29开本： 16开印次： 1纸张： 胶版纸I S B N ： 9781402076312包装： 精装内容简介

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.

目录

Foreword

Preface

Acknowledgments

PartⅠ Environmental，Business and other Applications of Interactive Decision Maps

1． INTRODUCTION TO INTERACTIVE DECISION MAPS

1 Visualization in decision screening

2 Visualization of the Pareto frontier in a regional environmental problem

3 Interactive Decision Maps

4 The FGM/IDM technique

5 Computational aspects of the IDM technique

2． ACADEMIC APPLICATIONS

1 0cean waste mafiagement decisions

2 Search for efficient water-related strategies of regional agricultural development

3 Analysis of long-term development of a national economy

4 Searching for trans．boundary air pollution control strategies

5 Searching for smart strategies for abatement of global climate change

3． REAL-LIFE APPLICATIONS

1 0n the real-life application of decision support techniques ident ification of national goals

2 DSS for water quality planning in river basins

3 DSS for screening of water quality improvement plans

4．REASONABLE GOALS METHOD AND ITSAPPLICATIONS

1 Introduction to the Reasonable Goals Method

2 RGM in water quality planning

3 Screening of national energy production strategies

4 Selection of a location for rural health practice

5 RGM on the Web：application server for e-commerce

6 Several other applications

7 RGM as a t001 for database visualization，data mining and cost-benefit analysis

5． NON．LINEAR SYSTEMS AND OTHER NEWDEVELOPMENTS

1 Feasible Goals Method for non-linear models

2 FGM/IDM technique for non。linear models

3 RGM/IDM technique for non．1inear models

4 Visualization of risk．related decision problems

5 Visualization in Data Envelopment Analysis

Part Ⅱ Computational Methods of the IDM Technique

6． COMPUTATIONAL METHODS FOR STATIC MODELS

1 Methods based on convolution of linear inequalities

2 Methods for polyhedral approximation of convex bodies

3 Approximating the Edgeworth-Pareto Hull in the convex Case

4 Approximating the FCS for non．1inear models

5 Approximating the EPH in the non-linear case

7． COMPUTA-TIONAL METHODS FOR DYNAMIC SYSTEMS

1 Approximation of FCSs and EPHs for dynamic systems

2 Approximation of reachable sets for convex systems

3 Reduction．based methods for constructing reachable sets

4 Approximating and estimating reachable sets for non-convex systems

5 Approximating the FCS for systems in partial derivatives

PartⅢ Several Topics Related to Mathematical Basis of IDM

Index