This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances.

Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison / Roberto Roberti;Paolo Toth. - In: EURO JOURNAL ON TRANSPORTATION AND LOGISTIC. - ISSN 2192-4376. - STAMPA. - 1:(2012), pp. 113-133. [10.1007/s13676-012-0010-0]

Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison

ROBERTI, ROBERTO;TOTH, PAOLO
2012

Abstract

This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances.
2012
Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison / Roberto Roberti;Paolo Toth. - In: EURO JOURNAL ON TRANSPORTATION AND LOGISTIC. - ISSN 2192-4376. - STAMPA. - 1:(2012), pp. 113-133. [10.1007/s13676-012-0010-0]
Roberto Roberti;Paolo Toth
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/399140
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