The Dynamic Simplex-Method

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/809 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/809 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/809 archive 351 disk0/00/00/07/91 2016-01-15 01:44:29 2021-08-27 17:08:44 2016-01-15 01:44:29 monograph show 2 Propoi A.I. AL1119 Krivonozhko V.E. The Dynamic Simplex-Method pub iis_met iis_mod prog_sds In this paper a finite-step method for solving dynamic linear programming (DLP) problems is described. The method suggested is a natural and straightforward extension of one of the most effective static LP methods -- the simplex method -- for DLP. A new concept -- a set of local bases -- for each time step is introduced, thus enabling considerable reduction of the requirements to computer core memory and CPU time. In the proposed method the system of T local m x m bases is introduced and the basic simplex procedures (selection of vectors to be removed from and to be introduced into the basis, pricing procedure, transformation of bases) as applied to this system of T local bases are described. Evaluation of possibilities of the method and its connection with compact inverse LP method are discussed. 1977-06 published RM-77-024 RM-77-024 10 2308 public research_memorandum IIASA, Laxenburg, Austria 69 FALSE info:eu-repo/semantics/book