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Online and Offline Algorithms for the Time-Dependent TSP with Time Zones
Authors:Bj?rn Brodén   Mikael Hammar  Brengt J. Nilsson
Affiliation:(1) Department of Computer Science, Lund University, Box 118, S-221 00 Lund, Sweden;(2) Dipartimento di Informatica ed Applicazioni, Università di Salerno, Baronissi (SA) 84081, Italy;(3) School of Technology and Society, Malmö University College, SE-205 06 Malmö, Sweden
Abstract:The time-dependent traveling salesman problem (TDTSP) is a variant of TSP with time-dependent edge costs. We study some restrictions of TDTSP where the number of edge cost changes are limited. We find competitive ratios for online versions of TDTSP. From these we derive polynomial time approximation algorithms for graphs with edge costs one and two. In addition, we present an approximation algorithm for the orienteering problem with edge costs one and two.
Keywords:Online algorithms  The traveling salesman problem  Time dependencies  The orienteering problem
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