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An aggregate label setting policy for the multi-objective shortest path problem

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  • Iori, Manuel
  • Martello, Silvano
  • Pretolani, Daniele

Abstract

We consider label setting algorithms for the multi-objective shortest path problem with any number of sum and bottleneck objectives. We propose a weighted sum aggregate ordering of the labels, specifically tailored to combine sum and bottleneck objectives. We show that the aggregate order leads to a consistent reduction of solution times (up to two-thirds) with respect to the classical lexicographic order.

Suggested Citation

  • Iori, Manuel & Martello, Silvano & Pretolani, Daniele, 2010. "An aggregate label setting policy for the multi-objective shortest path problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1489-1496, December.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:3:p:1489-1496
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    References listed on IDEAS

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    1. Martins, Ernesto Queiros Vieira, 1984. "On a special class of bicriterion path problems," European Journal of Operational Research, Elsevier, vol. 17(1), pages 85-94, July.
    2. Tung Tung, Chi & Lin Chew, Kim, 1992. "A multicriteria Pareto-optimal path algorithm," European Journal of Operational Research, Elsevier, vol. 62(2), pages 203-209, October.
    3. F. Guerriero & R. Musmanno, 2001. "Label Correcting Methods to Solve Multicriteria Shortest Path Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(3), pages 589-613, December.
    4. de Lima Pinto, Leizer & Bornstein, Cláudio Thomás & Maculan, Nelson, 2009. "The tricriterion shortest path problem with at least two bottleneck objective functions," European Journal of Operational Research, Elsevier, vol. 198(2), pages 387-391, October.
    5. Martins, Ernesto Queiros Vieira, 1984. "On a multicriteria shortest path problem," European Journal of Operational Research, Elsevier, vol. 16(2), pages 236-245, May.
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    Cited by:

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    2. Perederieieva, Olga & Raith, Andrea & Schmidt, Marie, 2018. "Non-additive shortest path in the context of traffic assignment," European Journal of Operational Research, Elsevier, vol. 268(1), pages 325-338.
    3. Enrique Machuca & Lawrence Mandow, 2016. "Lower bound sets for biobjective shortest path problems," Journal of Global Optimization, Springer, vol. 64(1), pages 63-77, January.
    4. Raith, Andrea & Schmidt, Marie & Schöbel, Anita & Thom, Lisa, 2018. "Multi-objective minmax robust combinatorial optimization with cardinality-constrained uncertainty," European Journal of Operational Research, Elsevier, vol. 267(2), pages 628-642.
    5. Zhang, Yuli & Shen, Zuo-Jun Max & Song, Shiji, 2016. "Parametric search for the bi-attribute concave shortest path problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 150-168.
    6. Machuca, E. & Mandow, L. & Pérez de la Cruz, J.L. & Ruiz-Sepulveda, A., 2012. "A comparison of heuristic best-first algorithms for bicriterion shortest path problems," European Journal of Operational Research, Elsevier, vol. 217(1), pages 44-53.

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