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Models for multi-path covering-routing problems

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  • Brian Boffey
  • Subhash Narula

Abstract

Research on covering has concentrated on problems where the facilities are small inrelation to their cover sets and can justifiably be regarded as points. However, representationby a point is not reasonable for all facilities. In this paper, our objective is to consider pathcovering problems and study them with particular emphasis on multi-path models. We introducea new problem, 2-MPSP, then formulate it and some of its variants. We also outlinetwo solution approaches for solving the 2-MPSP problem. Copyright Kluwer Academic Publishers 1998

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  • Brian Boffey & Subhash Narula, 1998. "Models for multi-path covering-routing problems," Annals of Operations Research, Springer, vol. 82(0), pages 331-342, August.
    • Handle: RePEc:spr:annopr:v:82:y:1998:i:0:p:331-342:10.1023/a:1018923022243
    DOI: 10.1023/A:1018923022243
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    Citations

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    Cited by:

    1. Timothy J. Niblett & Richard L. Church, 2016. "The Shortest Covering Path Problem," International Regional Science Review, , vol. 39(1), pages 131-151, January.
    2. Eusebio Angulo & Ricardo García-Ródenas & José Luis Espinosa-Aranda, 2016. "A Lagrangian relaxation approach for expansion of a highway network," Annals of Operations Research, Springer, vol. 246(1), pages 101-126, November.
    3. Suriyaphong Nilsang & Chumpol Yuangyai & Chen-Yang Cheng & Udom Janjarassuk, 2019. "Locating an ambulance base by using social media: a case study in Bangkok," Annals of Operations Research, Springer, vol. 283(1), pages 497-516, December.
    4. Pablo Adasme & Ali Dehghan Firoozabadi, 2019. "Facility Location with Tree Topology and Radial Distance Constraints," Complexity, Hindawi, vol. 2019, pages 1-29, November.
    5. Roy, Sandeepan & Maji, Avijit, 2019. "A Station Location Identification Model for an Integrated Interoperable High-Speed Rail System," ADBI Working Papers 956, Asian Development Bank Institute.
    6. Matisziw, Timothy C. & Murray, Alan T. & Kim, Changjoo, 2006. "Strategic route extension in transit networks," European Journal of Operational Research, Elsevier, vol. 171(2), pages 661-673, June.
    7. Murawski, Lisa & Church, Richard L., 2009. "Improving accessibility to rural health services: The maximal covering network improvement problem," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 102-110, June.
    8. James J. Cochran & Martin S. Levy & Jeffrey D. Camm, 2010. "Bayesian coverage optimization models," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 158-173, February.

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