Reduction and Decomposition of Large Generalized Geometric Programming Problems, with Applications.
Progress rept. 1 Mar 74-28 Feb 75,
NORTHWESTERN UNIV EVANSTON ILL DEPT OF INDUSTRIAL ENGINEERING AND MANAGEMENT SCIENCES
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This report is a brief summary of progress by the authors and their associates in their research on the reduction and decomposition of large generalized geometric programming problems and their application for the period 1 March 1974 through 28 February 1975. The problems under study concern 1 the optimal design and operation of hydraulic pipelines, transportation networks, and mechanical and electrical devices, 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. To effectively and efficiently obtain solutions to these problems when stated in geometric programming formulations, methods that ameliorate the complexity of the total system are being developed. These methods center around the ideas of decomposing the total system into smaller subsystems and reducing the dimensionality of the overall system. This summary provides an outline of the most recent results in this research project and provides a listing of publications in which additional detail on the research can be obtained.
- Operations Research