A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions - Greenberg, H. J.

Résumé :
This book is a primer to a computer-assited analysis system for mathematical programming models and solution called ANALYZE. ANALYZE is designed to provide computer assistance for analyzing linear programs and their solutions. Although this primer is self-contained, knowledge of linear programming is assumed. The exercises throughout the book show how to use ANALYZE to retrieve information, but it does not explicitly teach what information to obtain. The book is intended for people who already use linear programming. In the latter case, ANALYZE serves to support an LP laboratory, corequisite with lectures, and the exercises need classroom discussion to guide the students. The book is accompanied by a DOS version of ANALYZE on 3.5 inch diskettes and emA Laboratory Manual for Teaching Linear Programming/em is available upon request.

Sommaire:
1 Overview, Installation, and Help.- 1.1 What you have and how to begin.- 1.2 Modular design.- 1.3 Quick install for DOS environment.- 1.4 Some interactive language conventions.- 1.5 On-line documentation.- 2 Anatomy of a Linear Program.- 2.1 Algebraic form.- 2.2 Model Syntax.- 2.3 Conditional delineation of rows and columns.- 3 Simple Queries.- 3.1 The sign-on and interactive conventions.- 3.2 Basic query commands.- 3.3 Syntax-based explanations.- 3.4 Schema view.- 4 Examples of Analysis.- 4.1 Price interpretation for the LP expert.- 4.2 Automatic interpretation.- 4.3 A case of infeasibility.- 4.4 A case of unboundedness.- 5 Further Examples.- 5.1 Blocking.- 5.2 Rates of substitution.- 5.3 Using the basis.- 5.4 The REDUCE command.- 5.5 The AGGREGAT command.- 6 File Interfaces.- 6.1 Environment controls.- 6.2 Dictionaries, documents, help and keyword files.- 6.3 Execution files.- 6.4 Matrix and packed files.- 6.5 Solution files.- 6.6 Syntax files.- 6.7 Rule files.- 6.8 Submatrix, block, schema and graph files.- 6.9 Setting up an environment for analysis.- 7 Advanced Exercises.- 7.1 A forestry model.- 7.2 A REDUCE anomaly.- 7.3 Assisting model management.- 8 Utilities.- 8.1 HPAGER.- 8.2 LPRENAME.- 8.3 FORTREF.- 9 Algorithms and Heuristics.- 9.1 Discourse formation.- 9.2 Path tracing.- 9.3 Basis rearrangement.- 9.4 Rates of substitution.- 9.5 Redundancy test.- 9.6 Successive bound reduction.- 9.7 Logical implication tests.- 10 More Views.- 10.1 Block plots.- 10.2 Step plots.- 10.3 Table formations and displays.- 10.4 Graphs of linear programs.- 10.5 Schema equations.- 11 Rulebase Development.- 11.1 Basic concepts and tools.- 11.2 Rule file commands.- 11.3 Simple examples.- 11.4 Price interpretation.- 11.5 Testing new rule files.- 12 Using the Modules.- 12.1 Setup for an alternative computing environment.- 12.2 FLIP.- 12.3 GETMAT.- 12.4 VIEWS.- Appendix A: Error Messages.- Appendix B: The ANALYZE Library.

Critique:
` ... The style is clear, lively, and holds the reader's attention. ... the book presents interesting material regarding the formulation of linear programming problems and their solutions. Consequently, I highly recommend this book. It will be a valuable source for academics and practitionerrs in the domain of mathematical programming. ' Journal of Global Optimization, 7, 1995