Reduction and Decomposition of Large Generalized Geometric Programming Problems with Applications.
Interim progress rept. 1 Mar 73-28 Feb 74,
NORTHWESTERN UNIV EVANSTON ILL DEPT OF INDUSTRIAL ENGINEERING AND MANAGEMENT SCIENCES
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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
- Operations Research