A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions: A User’s Guide for ANALYZE©: 1 (Operations Research/Computer Science Interfaces Series, 1) - Hardcover

Greenberg, H.J.

Hardcover

ISBN 10: 0792393228 ISBN 13: 9780792393221

Publisher: Springer, 1993

Synopsis

Welcome to ANALYZE, designed to provide computer assistance for analyzing linear programs and their solutions. Chapter 1 gives an overview of ANALYZE and how to install it. It also describes how to get started and how to obtain further documentation and help on-line. Chapter 2 reviews the forms of linear programming models and describes the syntax of a model. One of the routine, but important, functions of ANALYZE is to enable convenient access to rows and columns in the matrix by conditional delineation. Chapter 3 illustrates simple queries, like DISPLAY, LIST, and PICTURE. This chapter also introduces the SUBMAT command level to define any submatrix by an arbitrary sequence of additions, deletions and reversals. Syntactic explanations and a schema view are also illustrated. Chapter 4 goes through some elementary exercises to demonstrate computer­ assisted analysis and introduce additional conventions of the ANALYZE language. Besides simple queries, it demonstrates the INTERPRT command, which automates the analysis process and gives English explanations of results. The last 2 exercises are diagnoses of elementary infeasible instances of a particular model. Chapter 5 progresses to some advanced uses of ANALYZE. The first is blocking to obtain macro views of the model and for finding embedded substructures, like a netform. The second is showing rates of substitution described by the basic equations. Then, the use of the REDUCE and BASIS commands are illustrated for a variety of applications, including solution analysis, infeasibility diagnosis, and redundancy detection.

About this title

Review

` ... 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

Synopsis

A primer to accompany a computer-assisted 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, along 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" diskettes and "A Laboratory Manual for Teaching Linear Programming" is available on request.

Edition details

• Publisher: Springer
• Publication date: 1993
• Language: English
• ISBN 10: 0792393228
• ISBN 13: 9780792393221
• Binding: Hardcover
• Number of pages: 282