Some observations about the extreme points of the Generalized Cardinality-Constrained Shortest Path Problem polytope |
| |
| Authors: | Maria Flavia Monaco Marcello Sammarra Luigi Moccia |
| |
| Institution: | (1) Dipartimento di Elettronica, Informatica e Sistemistica, Università della Calabria, Via P. Bucci 41-C, 87036 Rende (CS), Italy;(2) TER-ENETEC Tecnologie per gli Usi Finali dell’Energia, ENEA Ente per le Nuove Tecnologie, l’Energia e l’Ambiente, C. R. Trisaia, S.S. Jonica 106, km 419+500, 75026 Rotondella (MT), Italy |
| |
| Abstract: | The Generalized Cardinality-Constrained Shortest Path Problem (GCCSPP) consists in finding the minimum cost path in a digraph,
using at most r arcs in a subset F of the arc set. We propose an algebraic characterization of the extreme points of the associated polytope, and then we show
that it is equivalent to the geometric one, obtained extending to the GCCSPP some known results for the cardinality-constrained
shortest path problem. |
| |
| Keywords: | Constrained shortest path Polytopes Extreme points Basic solutions |
| 本文献已被 SpringerLink 等数据库收录！ |
|
