The Steiner Traveling Salesman Problem with online edge blockages

Huili Zhang, Weitian Tong, Yinfeng Xu and Guohui Lin

European Journal of Operational Research, 2015, vol. 243, issue 1, 30-40

Abstract: We consider the online Steiner Traveling Salesman Problem. In this problem, we are given an edge-weighted graph G = (V, E) and a subset D⊆V of destination vertices, with the optimization goal to find a minimum weight closed tour that traverses every destination vertex of D at least once. During the traversal, the salesman could encounter at most k non-recoverable blocked edges. The edge blockages are real-time, meaning that the salesman knows about a blocked edge whenever it occurs. We first show a lower bound on the competitive ratio and present an online optimal algorithm for the problem. While this optimal algorithm has non-polynomial running time, we present another online polynomial-time near optimal algorithm for the problem. Experimental results show that our online polynomial-time algorithm produces solutions very close to the offline optimal solutions.

Keywords: Traveling Salesman Problem; Steiner TSP; Online edge blockage; Online algorithm; Competitive ratio (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:243:y:2015:i:1:p:30-40

DOI: 10.1016/j.ejor.2014.11.013

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