Accession Number : ADA293855
Title : Right-Hand-Side Multidimensional Optimality Analysis of a Large Scale Linear Program Using Metamodelling Techniques.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
Personal Author(s) : Iyde, Osman
PDF Url : ADA293855
Report Date : MAR 1995
Pagination or Media Count : 95
Abstract : A methodology for optimality analysis of linear programs was developed by Johnson, Bauer, Moore, and Grant to create metamodels using response surface methodology techniques such as experimental design and least squares regression, and a geostatistical estimation technique, namely kriging. Metamodels have the form of a simple polynomial, and they predict the optimal objective function value of an LP for various levels of the constraints. They eliminate the necessity of determining which critical region contains the right-hand-side (RHS) vector of interest since they are valid over multiple critical regions. The methodology of Johnson, et al. can be applied to large scale linear programming models. The developed metamodels of the large scale LP can provide some useful information about the relationships between the objective function value and the RHS vector of interest. (AN)
Descriptors : *MATHEMATICAL MODELS, *OPTIMIZATION, *LINEAR PROGRAMMING, ALGORITHMS, DATA MANAGEMENT, PARAMETERS, EXPERIMENTAL DESIGN, COMPARISON, THESES, ESTIMATES, REGRESSION ANALYSIS, POLYNOMIALS, LEAST SQUARES METHOD, VECTOR ANALYSIS, COMPUTER FILES, COMPUTER PROGRAM VERIFICATION.
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE