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An Interactive Algorithm for Multi-objective Route Planning

Author

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  • Diclehan Tezcaner

    (Middle East Technical University)

  • Murat Köksalan

    (Middle East Technical University)

Abstract

We address the route selection problem for Unmanned Air Vehicles (UAV) under multiple objectives. We consider a general case for this problem, where the UAV has to visit several targets and return to the base. We model this problem as a combination of two combinatorial problems. First, the path to be followed between each pair of targets should be determined. We model this as a multi-objective shortest path problem. Additionally, we need to determine the order of the targets to be visited. We model this as a multi-objective traveling salesperson problem (MOTSP). The overall problem is a combination of these two problems, which we define as a generalized MOTSP. We develop an exact interactive approach to identify the best paths and the best tour of a decision maker under a linear utility function.

Suggested Citation

  • Diclehan Tezcaner & Murat Köksalan, 2011. "An Interactive Algorithm for Multi-objective Route Planning," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 379-394, August.
    • Handle: RePEc:spr:joptap:v:150:y:2011:i:2:d:10.1007_s10957-011-9838-y
    DOI: 10.1007/s10957-011-9838-y
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    References listed on IDEAS

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    1. Zionts, Stanley, 1981. "A multiple criteria method for choosing among discrete alternatives," European Journal of Operational Research, Elsevier, vol. 7(2), pages 143-147, June.
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    3. Bérubé, Jean-François & Gendreau, Michel & Potvin, Jean-Yves, 2009. "An exact [epsilon]-constraint method for bi-objective combinatorial optimization problems: Application to the Traveling Salesman Problem with Profits," European Journal of Operational Research, Elsevier, vol. 194(1), pages 39-50, April.
    4. Gabrel, Virginie & Vanderpooten, Daniel, 2002. "Enumeration and interactive selection of efficient paths in a multiple criteria graph for scheduling an earth observing satellite," European Journal of Operational Research, Elsevier, vol. 139(3), pages 533-542, June.
    5. Granat, Janusz & Guerriero, Francesca, 2003. "The interactive analysis of the multicriteria shortest path problem by the reference point method," European Journal of Operational Research, Elsevier, vol. 151(1), pages 103-118, November.
    6. Özpeynirci, Özgür & Köksalan, Murat, 2009. "Multiobjective traveling salesperson problem on Halin graphs," European Journal of Operational Research, Elsevier, vol. 196(1), pages 155-161, July.
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    Cited by:

    1. Tezcaner Öztürk, Diclehan & Köksalan, Murat, 2023. "Biobjective route planning of an unmanned air vehicle in continuous space," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 151-169.
    2. Nail Karabay & Murat Köksalan & Diclehan Tezcaner Öztürk, 2023. "Biobjective UAV routing for a mission to visit multiple mobile targets," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 925-954, September.
    3. Michael D. Moskal & Erdi Dasdemir & Rajan Batta, 2023. "Unmanned Aerial Vehicle Information Collection Missions with Uncertain Characteristics," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 120-137, January.
    4. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    5. Nasim Nasrabadi & Akram Dehnokhalaji & Pekka Korhonen & Jyrki Wallenius, 2019. "Using convex preference cones in multiple criteria decision making and related fields," Journal of Business Economics, Springer, vol. 89(6), pages 699-717, August.

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