A Comparative Study of Two Methods for Staircase Linear Programs
- 1 March 1980
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 6 (1) , 17-30
- https://doi.org/10.1145/355873.355875
Abstract
Thin paper considers the important class of large-scale statrcase linear programs arising from dynamic or multistage models The two major approaches to large LPs--problem decomposition and basis factonzatlon--are discussed. Two methods for statrcase LPs, one from each approach, that have recently been developed and maplemented are compared in both algorithmic and data-structural aspects Computational results of an emptrical comparison are presented. The study demonstrates that both specml techniques can be more efficient than the dtrect simplex approach. It also identifies certain classes of problems for whmh a partmular techmque is especially promising.Keywords
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This publication has 6 references indexed in Scilit:
- Reporting computational experiments in mathematical programmingMathematical Programming, 1978
- A Model and an Algorithm for the Dynamic Traffic Assignment ProblemsTransportation Science, 1978
- A Substitute Inverse for the Basis of a Staircase Structure Linear ProgramMathematics of Operations Research, 1977
- Optimal design of multi-stage structures: a nested decomposition approachComputers & Structures, 1975
- Nested decomposition for dynamic modelsMathematical Programming, 1974
- Dynamic Linear Programs for Production SchedulingOperations Research, 1971