Abstract: "The asymmetric travelling salesman problem with time windows (ATSP-TW) is a basic model for scheduling and routing applications. In this paper we present a formulation of the problem involving only 0/1- variables associated with the arcs of the underlying digraph. This has the advant...

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Bibliographische Detailangaben

Hauptverfasser:	Ascheuer, Norbert (VerfasserIn), Fischetti, Matteo (VerfasserIn), Grötschel, Martin 1948- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997
Schriftenreihe:	Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,11
Schlagworte:	Traveling-salesman problem
Zusammenfassung:	Abstract: "The asymmetric travelling salesman problem with time windows (ATSP-TW) is a basic model for scheduling and routing applications. In this paper we present a formulation of the problem involving only 0/1- variables associated with the arcs of the underlying digraph. This has the advantage of avoiding additional variables as well as the associated (typically very ineffective) linking constraints. In the formulation, time window restrictions are modelled by means of 'infeasible path elimination' constraints. We present the basic form of these constraints along with some possible strengthenings. Several other classes of valid inequalities derived from related asymmetric travelling salesman problems are also described, along with a lifting theorem. We also study the ATSP-TW polytope, P[subscript TW], defined as the convex hull of the integer solutions of our model. We show that determining the dimension of P[subscript TW] is strongly NP-complete problem, even if only one time window is present. In this latter case, we provide a minimal equation system for P[subscript TW]. Computational experiments on the new formulation are reported in a companion paper [5] where we show that it outperforms alternative formulations on some classes of problem instances."
Beschreibung:	20 S. graph. Darst.