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Optimal deterministic algorithms for some variants of Online Quota Traveling Salesman Problem

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  • Yu, Wei
  • Liu, Zhaohui
  • Bao, Xiaoguang

Abstract

This paper is concerned with the Online Quota Traveling Salesman Problem. Depending on the symmetry of the metric and the requirement for the salesman to return to the origin, four variants are analyzed. We present optimal deterministic algorithms for each variant defined on a general space, a real line, or a half-line. As a byproduct, an improved lower bound for a variant of Online TSP on a half-line is also obtained.

Suggested Citation

  • Yu, Wei & Liu, Zhaohui & Bao, Xiaoguang, 2014. "Optimal deterministic algorithms for some variants of Online Quota Traveling Salesman Problem," European Journal of Operational Research, Elsevier, vol. 238(3), pages 735-740.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:3:p:735-740
    DOI: 10.1016/j.ejor.2014.04.037
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    References listed on IDEAS

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    1. Michiel Blom & Sven O. Krumke & Willem E. de Paepe & Leen Stougie, 2001. "The Online TSP Against Fair Adversaries," INFORMS Journal on Computing, INFORMS, vol. 13(2), pages 138-148, May.
    2. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
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    Cited by:

    1. Tengyu Wu & Lin He & Haiyan Yu, 0. "Online traveling salesman problem with time cost and non-zealous server," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-24.
    2. Mengyuan Gou & Haiyan Yu, 2023. "Online Delivery Problem for Hybrid Truck–Drone System with Independent and Truck-Carried Drones," Sustainability, MDPI, vol. 15(2), pages 1-15, January.
    3. Tengyu Wu & Lin He & Haiyan Yu, 2022. "Online traveling salesman problem with time cost and non-zealous server," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 2143-2166, October.

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