IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v150y2011i2d10.1007_s10957-011-9838-y.html
   My bibliography  Save this article

An Interactive Algorithm for Multi-objective Route Planning

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-011-9838-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10957-011-9838-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Diclehan Tezcaner Öztürk & Murat Köksalan, 2016. "An interactive approach for biobjective integer programs under quasiconvex preference functions," Annals of Operations Research, Springer, vol. 244(2), pages 677-696, September.
    2. Masar Al-Rabeeah & Santosh Kumar & Ali Al-Hasani & Elias Munapo & Andrew Eberhard, 2019. "Bi-objective integer programming analysis based on the characteristic equation," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 937-944, October.
    3. Yannick Kergosien & Antoine Giret & Emmanuel Néron & Gaël Sauvanet, 2022. "An Efficient Label-Correcting Algorithm for the Multiobjective Shortest Path Problem," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 76-92, January.
    4. Markus Leitner & Ivana Ljubić & Markus Sinnl, 2015. "A Computational Study of Exact Approaches for the Bi-Objective Prize-Collecting Steiner Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 118-134, February.
    5. Gülşah Karakaya & Murat Köksalan, 2016. "An interactive approach for Bi-attribute multi-item auctions," Annals of Operations Research, Springer, vol. 245(1), pages 97-119, October.
    6. Miriam Enzi & Sophie N. Parragh & Jakob Puchinger, 2022. "The bi-objective multimodal car-sharing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 307-348, June.
    7. Sune Lauth Gadegaard & Lars Relund Nielsen & Matthias Ehrgott, 2019. "Bi-objective Branch-and-Cut Algorithms Based on LP Relaxation and Bound Sets," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 790-804, October.
    8. Florios, Kostas & Mavrotas, George, 2014. "Generation of the exact Pareto set in multi-objective traveling salesman and set covering problems," MPRA Paper 105074, University Library of Munich, Germany.
    9. Dang, Duc-Cuong & Guibadj, Rym Nesrine & Moukrim, Aziz, 2013. "An effective PSO-inspired algorithm for the team orienteering problem," European Journal of Operational Research, Elsevier, vol. 229(2), pages 332-344.
    10. S. Dutta & S. Acharya & Rajashree Mishra, 2016. "Genetic algorithm based fuzzy stochastic transportation programming problem with continuous random variables," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 835-872, December.
    11. Zhong, Tao & Young, Rhonda, 2010. "Multiple Choice Knapsack Problem: Example of planning choice in transportation," Evaluation and Program Planning, Elsevier, vol. 33(2), pages 128-137, May.
    12. Yang, X. Q. & Goh, C. J., 1997. "A method for convex curve approximation," European Journal of Operational Research, Elsevier, vol. 97(1), pages 205-212, February.
    13. Aritra Pal & Hadi Charkhgard, 2019. "A Feasibility Pump and Local Search Based Heuristic for Bi-Objective Pure Integer Linear Programming," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 115-133, February.
    14. Mateos, A. & Jimenez, A. & Rios-Insua, S., 2006. "Monte Carlo simulation techniques for group decision making with incomplete information," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1842-1864, November.
    15. KIKOMBA KAHUNGU, Michaël & MABELA MAKENGO MATENDO, Rostin & M. NGOIE, Ruffin-Benoît & MAKENGO MBAMBALU, Fréderic & OKITONYUMBE Y.F, Joseph, 2013. "Les fondements mathématiques pour une aide à la décision du réseau de transport aérien : cas de la République Démocratique du Congo [Mathematical Foundation for Air Traffic Network Decision Aid : C," MPRA Paper 68533, University Library of Munich, Germany, revised Mar 2013.
    16. Tang, Lianhua & Li, Yantong & Bai, Danyu & Liu, Tao & Coelho, Leandro C., 2022. "Bi-objective optimization for a multi-period COVID-19 vaccination planning problem," Omega, Elsevier, vol. 110(C).
    17. Przybylski, Anthony & Gandibleux, Xavier, 2017. "Multi-objective branch and bound," European Journal of Operational Research, Elsevier, vol. 260(3), pages 856-872.
    18. Singh, Preetvanti & Saxena, P. K., 2003. "The multiple objective time transportation problem with additional restrictions," European Journal of Operational Research, Elsevier, vol. 146(3), pages 460-476, May.
    19. Pankaj Gupta & Mukesh Mehlawat, 2007. "An algorithm for a fuzzy transportation problem to select a new type of coal for a steel manufacturing unit," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 114-137, July.
    20. Rigo, Cezar Antônio & Seman, Laio Oriel & Camponogara, Eduardo & Morsch Filho, Edemar & Bezerra, Eduardo Augusto & Munari, Pedro, 2022. "A branch-and-price algorithm for nanosatellite task scheduling to improve mission quality-of-service," European Journal of Operational Research, Elsevier, vol. 303(1), pages 168-183.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:150:y:2011:i:2:d:10.1007_s10957-011-9838-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.