Artículos de revistas
Algorithms for network piecewise-linear programs: A comparative study
Registro en:
European Journal Of Operational Research. Elsevier Science Bv, v. 97, n. 1, n. 183, n. 199, 1997.
0377-2217
WOS:A1997WJ29000018
10.1016/S0377-2217(96)00109-9
Autor
Marins, FAS
Senne, ELF
DarbyDowman, K
Machado, AF
Perin, C
Institución
Resumen
Piecewise-Linear Programming (PLP) is an important area of Mathematical Programming and concerns the minimisation of a convex separable piecewise-linear objective function, subject to linear constraints. In this paper a subarea of PLP called Network Piecewise-Linear Programming (NPLP) is explored. The paper presents four specialised algorithms for NPLP: (Strongly Feasible) Primal Simplex, Dual Method, Out-of-Kilter and (Strongly Polynomial) Cost-Scaling and their relative efficiency is studied. A statistically designed experiment is used to perform a computational comparison of the algorithms. The response variable observed in the experiment is the CPU time to solve randomly generated network piecewise-linear problems classified according to problem class (Transportation, Transshipment and Circulation), problem size, extent of capacitation, and number of breakpoints per are. Results and conclusions on performance of the algorithms are reported. 97 1 183 199