On improving a solution to the ATSP with fixed origin and precedence relationships.

Laureano F. Escudero

Trabajos de Investigación Operativa (1988)

  • Volume: 3, Issue: 1, page 117-140
  • ISSN: 0213-8204

Abstract

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Given the directed graph G1 = (N, A1) with a node origin and a penalty matrix C, the ATSP with fixed origin and precedence relationships (hereafter, ASTP-PR) consists of finding the permutation of the nodes from the set N, such that it minimizes a matrix C based function and does not violate the precedence relationships given by the set A1. In this work we present an algorithm for improving a given feasible solution to the problem, by performing a local search that uses 3- and 4-change based procedures. Computational results on a broad set of cases is reported.

How to cite

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Escudero, Laureano F.. "On improving a solution to the ATSP with fixed origin and precedence relationships.." Trabajos de Investigación Operativa 3.1 (1988): 117-140. <http://eudml.org/doc/40589>.

@article{Escudero1988,
abstract = {Given the directed graph G1 = (N, A1) with a node origin and a penalty matrix C, the ATSP with fixed origin and precedence relationships (hereafter, ASTP-PR) consists of finding the permutation of the nodes from the set N, such that it minimizes a matrix C based function and does not violate the precedence relationships given by the set A1. In this work we present an algorithm for improving a given feasible solution to the problem, by performing a local search that uses 3- and 4-change based procedures. Computational results on a broad set of cases is reported.},
author = {Escudero, Laureano F.},
journal = {Trabajos de Investigación Operativa},
keywords = {Problema del viajante; Algoritmos; Optimización; directed graph; permutation; precedence relation; local search; asymmetric travelling salesman; manufacturing},
language = {eng},
number = {1},
pages = {117-140},
title = {On improving a solution to the ATSP with fixed origin and precedence relationships.},
url = {http://eudml.org/doc/40589},
volume = {3},
year = {1988},
}

TY - JOUR
AU - Escudero, Laureano F.
TI - On improving a solution to the ATSP with fixed origin and precedence relationships.
JO - Trabajos de Investigación Operativa
PY - 1988
VL - 3
IS - 1
SP - 117
EP - 140
AB - Given the directed graph G1 = (N, A1) with a node origin and a penalty matrix C, the ATSP with fixed origin and precedence relationships (hereafter, ASTP-PR) consists of finding the permutation of the nodes from the set N, such that it minimizes a matrix C based function and does not violate the precedence relationships given by the set A1. In this work we present an algorithm for improving a given feasible solution to the problem, by performing a local search that uses 3- and 4-change based procedures. Computational results on a broad set of cases is reported.
LA - eng
KW - Problema del viajante; Algoritmos; Optimización; directed graph; permutation; precedence relation; local search; asymmetric travelling salesman; manufacturing
UR - http://eudml.org/doc/40589
ER -

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