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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1156 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1156 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1156 archive 351 disk0/00/00/11/38 2016-01-15 01:46:27 2021-08-27 17:09:26 2016-01-15 01:46:27 monograph show 2 Tone K. AL0386 Multistage Benders' Decomposition applied to Multiperiod, Multicommodity Production, Distribution and Inventory System pub iis_cmp prog_sds It has become more and more important for some industries to have an efficient program for their long range activities. Such a program usually means a production, distribution, and inventory plan of multicommodity over a multiperiod range. The network flow model is a standard way to represent the problem. Recent advances in the computational aspect of the generalized network (Glover et al. 1978:24, 1209-1220) gives us an indication of broader areas of application. However, the real world imposes complicated constraints upon us which can not be represented in the network models, not even in generalized network models. In a previous paper (Tone 1977a:20, 77-93), the author tried a decomposition of network type constraints and nonnetwork type constraints (called pattern constraints) by using Benders' partitioning procedure (Benders 1962:4, 238-252). The computational experiments show that the decomposition technique works well. In this paper, the author develops a method to handle the multiperiod problem, where the problems in each period are coupled with the succeeding one by the existence of the inventory activities. Our system is doubly decomposable; by the existence of the pattern constraints and by inventory activities. The algorithm consists of two parts, one for solving the network flow problem in each period and the other for solving the pattern and coupling constraints which may be called a master problem. Finite convergence is guaranteed. 1979-06 published WP-79-045 WP-79-045 2453 public working_paper IIASA, Laxenburg, Austria 10 FALSE info:eu-repo/semantics/book