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Iterative Column Generation Algorithm for Generalized Multi-Vehicle Covering Tour Problem

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  • Keisuke Murakami

    (Kansai University 3-3-35 Yamate, Suita, Osaka 564-8680, Japan)

Abstract

The multi-vehicle covering tour problem (m-CTP) is defined on a graph G = (V ∪ W,E), where V is a set of vertices that can be visited and W is a set of vertices that must be covered but cannot be visited. The objective of the m-CTP is to obtain a set of total minimum cost tours on subset of V, while covering all v ∈ W by up to m vehicles. In this paper, we first generalize the original m-CTP by adding a realistic constraint, and then propose an algorithm for the generalized m-CTP using a column generation approach. Computational experiments show that our algorithm performs well and outperforms the existing algorithms.

Suggested Citation

  • Keisuke Murakami, 2018. "Iterative Column Generation Algorithm for Generalized Multi-Vehicle Covering Tour Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(04), pages 1-22, August.
    • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:04:n:s0217595918500215
    DOI: 10.1142/S0217595918500215
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    References listed on IDEAS

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