Methods for solving partitioned mathematical programming problems require that an appropriate structure suitable for decomposition be identified. This first step consists of identifying linking variables that effect independent subproblems coordinated by a master problem. This article presents a network reliability-based solution of the optimal decomposition problem that avoids subjective criteria to identify linking variables and partitions. The relationships among design variables are modeled as the processing units of a network. The design variables themselves are modeled as the communication links between these units. The optimal decomposition is attained by minimizing the network reliability while maximizing the number of operating links.
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September 1995
Research Papers
A Network Reliability Approach to Optimal Decomposition of Design Problems
N. F. Michelena,
N. F. Michelena
Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 2250 G. G. Brown Bldg., Ann Arbor, MI 48109-2125
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P. Y. Papalambros
P. Y. Papalambros
Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 2250 G. G. Brown Bldg., Ann Arbor, MI 48109-2125
Search for other works by this author on:
N. F. Michelena
Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 2250 G. G. Brown Bldg., Ann Arbor, MI 48109-2125
P. Y. Papalambros
Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 2250 G. G. Brown Bldg., Ann Arbor, MI 48109-2125
J. Mech. Des. Sep 1995, 117(3): 433-440 (8 pages)
Published Online: September 1, 1995
Article history
Received:
August 1, 1994
Revised:
February 1, 1995
Online:
December 11, 2007
Citation
Michelena, N. F., and Papalambros, P. Y. (September 1, 1995). "A Network Reliability Approach to Optimal Decomposition of Design Problems." ASME. J. Mech. Des. September 1995; 117(3): 433–440. https://doi.org/10.1115/1.2826697
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