Abstract
Vehicle Routing Problems are generalizations of the well known Traveling Salesman Problem; we focus on the on-line version of these problems, where requests are not known in advance and arrive over time. We introduce a model of lookeahead for this class of problems, the time lookaheadΔ, which allows an on-line algorithm to foresee all the requests that will be released during next Δ time units. We present lower and upper bounds on the competitive ratio of known and studied variants of the OlTsp; we compare these results with the ones from the literature. Our results show that the effectiveness of lookahead varies significantly as we consider different problems.
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References
Albers, S.: On the influence of lookahead in competitive paging algorithms. Algorithmica 18(3), 283–305 (1997)
Albers, S.: A competitive analysis of the list update problem with lookahead. Theor. Comput. Sci. 197(1-2), 95–109 (1998)
Allulli, L., Ausiello, G., Laura, L.: On the power of lookahead in on-line vehicle routing problems. TR-02-05, DIS, Università di Roma “La Sapienza”
Ausiello, G., Feuerstein, E., Leonardi, S., Stougie, L., Talamo, M.: Algorithms for the on-line travelling salesman. Algorithmica 29(4), 560–581 (2001)
Blom, M., Krumke, S.O., de Paepe, W.E., Stougie, L.: The online-TSP against fair adversaries. INFORMS Journal on Computing 13, 138–148 (2001)
Borodin, A., El-Yaniv, R.: Online Computation and Competitive Analysis. Cambridge University Press, Cambridge (1998)
Chung, F.R.K., Graham, R.L., Saks, M.E.: A dynamic location problem for graphs. Combinatorica 9(2), 111–131 (1989)
Graham, R.L.: Bounds for certain multiprocessing anomalies. Bell System Technical Journal 45, 1563–1581 (1966)
Grove, E.F.: Online bin packing with lookahead. In: SODA 1995: Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms, pp. 430–436. SIAM, Philadelphia (1995)
Gutin, G., Punnen, A.P. (eds.): The Traveling Salesman Problem and its Variations. Kluwer, Dordrecht (2002)
Irani, S.: Coloring inductive graphs on-line. Algorithmica 11(1), 53–72 (1994)
Kalyanasundaram, B., Pruhs, K.: Speed is as powerful as clairvoyance [scheduling problems]. In: FOCS 1995: Proceedings of the 36th Annual Symposium on Foundations of Computer Science (FOCS 1995), p. 214. IEEE Computer Society, Los Alamitos (1995)
Krumke, S.O., Laura, L., Lipmann, M., Marchetti-Spaccamela, A., de Paepe, W.E., Poensgen, D., Stougie, L.: Non-abusiveness helps: An \(\mathcal O(1)\)-competitive algorithm for minimizing the maximum flow time in the online traveling salesman problem. In: Jansen, K., Leonardi, S., Vazirani, V.V. (eds.) APPROX 2002. LNCS, vol. 2462, pp. 200–214. Springer, Heidelberg (2002)
M. Lipmann. On-Line Routing. PhD thesis, Technical University of Eindhoven, 2003.
Lipmann, M., Lu, X., de Paepe, W., Sitters, R., Stougie, L.: On-line dial-a-ride problems under a restricted information model. In: Möhring, R.H., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 674–685. Springer, Heidelberg (2002)
Motwani, R., Saraswat, V., Torng, E.: Online scheduling with lookahead: Multipass assembly lines. INFORMS J. on Computing 10(3), 331–340 (1998)
Sleator, D., Tarjan, R.E.: Amortized efficiency of list update and paging rules. Communications of the ACM 28(2), 202–208 (1985)
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Allulli, L., Ausiello, G., Laura, L. (2005). On the Power of Lookahead in On-Line Vehicle Routing Problems. In: Wang, L. (eds) Computing and Combinatorics. COCOON 2005. Lecture Notes in Computer Science, vol 3595. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11533719_74
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DOI: https://doi.org/10.1007/11533719_74
Publisher Name: Springer, Berlin, Heidelberg
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