Accession Number : AD0779929

Title :   Reduction and Decomposition of Large Generalized Geometric Programming Problems with Applications.

Descriptive Note : Interim progress rept. 1 Mar 73-28 Feb 74,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL DEPT OF INDUSTRIAL ENGINEERING AND MANAGEMENT SCIENCES

Personal Author(s) : Peterson,Elmer L. ; Abrams,Robert A.

Report Date : 1974

Pagination or Media Count : 12

Abstract : The problems being attacked have to do with: (1) the optimal design and operation of mechanical and electrical devices, transportation networks, and hydraulic pipelines, (2) the optimal location of facilities, (3) the analysis and optimal design of structures, and (4) certain aspects of chemical equilibrium, regression analysis, and optimal control. Some of these problems have been modeled as 'geometric programming' problems. To obtain solutions to these and other geometric programming problems, methods that reduce the complexity of the total system have been (and continue to be) developed. These methods center around the ideas of 'decomposing' the total system into smaller subsystems and reducing the dimensionality of the overall system. Several papers based on these ideas have been accepted for publication and others are being prepared for publication. (Author)

Descriptors :   *Mathematical programming, Transportation, Experimental design, Structures, Regression analysis

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE