Multiple Criteria and Multiple Constraint Levels Linear Programming

The following sections are included:

• FOREWORD

• PREFACE

• Contents

The following sections are included:

• Brief History

• The Linear Programming Problem

• The MC Linear Programming Problem

• The MC² Linear Programming Problem

• Further Remarks

• Exercises

The following sections are included:

• Formulation of Linear Programming

• Graphical Method for Two Dimension Problems

• Simplex Method and Computer Solution Procedure

• Duality Theory and Its Economic Interpretation

• Complementary Slackness

• Sensitivity Analyses
  • The Change in The Objective Vector c
  • The Change in The Constraint Level Vector d

• Complexity Analyses and Other Methods
  • Basic Concepts of Computational Complexity
  • Complexity of Simplex Method
  • Khachian's Ellipsoid Method
  • Karmarkar's Projective Method

• Further Remarks

• Exercises

The following sections are included:

• Framework of MC Linear Programming

• Matrix Optimization

• Relationship Theory

• Extension Based on Application Perspectives
  • Two Roots
  • Potential Application Fields

• Further Remarks

• Exercises

The following sections are included:

• Formulation of MC² Linear Programming

• Concepts of Potential Solutions

• MC² Simplex Pivoting

• Potential Solution Structure

• MC² Simplex Method

• MC² Duality

• MC² Computer Software
  • A Man-machine Interactive Software
  • A File Input-output Software

• Further Remarks

• Exercises

The following sections are included:

• Integer Potential Solutions

• MC² Zero-One Problem and A Branch-and-Bound Procedure

• General MC² Integer Problem and A Branch-and-Partition Procedure

• Computer Software for MC² Integer Problem

• Further Remarks

• Exercises

The following sections are included:

• A Steady MC² Transportation Problem

• An Algorithm for the Steady MC² Transportation Model

• A Dynamic MC² Transportation Problem

• An Algorithm for The Dynamic MC² Transportation Model

• Computer Software for MC² Transportation Problem

• Further Remarks

• Exercises

The following sections are included:

• Fuzzy Potential Solutions

• Special Fuzzy Potential Solutions

• Further Remarks

• Exercises

The following sections are included:

• A Constructive Approach to Fuzzy MC² Duality

• A Parametric Approach to Fuzzy MC² Duality

• Further Remarks

• Exercises

The following sections are included:

• A General Procedure of Designing Optimal Systems

• Primal Rigid Designs and Contingency Plans
  • Finding Primal Rigid Contingency Plans
  • Analysis of External Resource Price

• Primal Flexible Designs and Contingency Plans

• Further Remarks

• Exercises

The following sections are included:

• Generating New Designs Using Union Operators

• Finding Primal Rigid Contingency Plans for Generalized Good Systems

• Finding Primal Flexible Contingency Plans for Generalized Good Systems

• Further Remarks

• Exercises

The following sections are included:

• Optimal System Design and Dual Rigid Contingency Plans

• Optimal System Design and Dual Flexible Contingency Plans

• Further Remarks

• Exercises

The following sections are included:

• Finding Dual Rigid Contingency Plans for Generalized Good Systems

• Finding Dual Flexible Contingency Plans for Generalized Good Systems

• A Computer-Aided System for Optimal System Designs
  • Modeling Relationships
  • A Solution Procedure for CAS
  • Flowcharts of the Algorithm
  • A Top-Down Design
  • A Pseudo-Language Program

• Further Remarks

• Exercises

The following sections are included:

• Satisficing Models
  • Goal Setting
  • Satisficing Model and its Interactive Methods

• Compromise Models
  • Regret Functions and Compromise Solutions
  • Computing Compromise Solutions
    • The Ideal Point as the Target Point
    • General Target Points and Goal Programming
  • Interactive Methods of Compromise Models

• Further Remarks

• Exercises

The following sections are included:

• Optimum-path Ratios
  • A Model of De Novo Programming
  • Several Optimum-path Ratios in De Novo Programming
  • An Optimal Pattern Matching Problem

• De Novo Design for Multiple Decision Makers and Possible Debt
  • A Model of System Designs with Multi-Decision Makers and Possible Debt
  • Contingency Plan and De Novo Optimal System Design

• Further Remarks

• Exercises

The following sections are included:

• Eliminating Permanently Dominated Opportunities for Subsets of Γ × Λ

• Eliminating Permanently Dominated Opportunities for The Entire Space of Parameters

• Elimination Techniques for Multiple Criteria Linear Programming Problems

• Further Remarks

• Exercises

The following sections are included:

• Existing Transfer Pricing Models

• Multiple Factor Transfer Pricing Model

• Model Implications
  • Numerical Example
  • Optimal Trade-offs and Their Accounting Implications

• Further Remarks

The following sections are included:

• Background of Capital Budgeting

• AHP Framework

• A Model of Multi-Criteria and Multiple Decision Makers Capital Budgeting

• Model Implications
  • Numerical Example
  • Managerial Implications

• Further Remarks

• Appendix

The following sections are included:

• File Allocation Via Wide Area Networks

• Zero-One Compromise Model

• A Sample Distributed Information System

• Further Remarks

The following sections are included:

• Needs for Rural Telecommunications

• A Compromise Model

• Nebraska as A Case Study

• Further Remarks

• Appendix: Compromise programming formulation

The following sections are included:

• Methodology for Credit Card Portfolio Decisions

• Computational Experience and MCLP Model Performance

• Main Research Findings and Further Research

• Appendix: Summary of tested LP/MCLP models

The following sections are included:

• A Model of Aggregate Production Planning with Multiple Factors

• Optimal Trade-offs and Management Implications

• Further Remarks

The following sections are included:

• Agricultural Policy Making

• Multiple Criteria And Multiple Economic Situation Model
  • Formulation of MCMES Model
  • Modeling Implications

• Illustrative Example

• Concluding Remarks

The following sections are included:

• Bibliography

• Index for References

• Index for Subjects