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Multi-objective model for the problem of locating tows for incident servicing on expressways

Author

Listed:
  • Marina Baltar

    (Federal University of Rio de Janeiro)

  • Victor Abreu

    (Federal University of Rio de Janeiro)

  • Glaydston Ribeiro

    (Federal University of Rio de Janeiro)

  • Laura Bahiense

    (Federal University of Rio de Janeiro)

Abstract

This article explores the trade-off between the maximization of traffic incident attendance and the minimization of CO $$_{2}$$ 2 emissions related to a real-world case study from Avenida Brasil, the main expressway of Rio de Janeiro, Brazil. We propose a mathematical multi-objective model including queuing theory to locate tows for incident servicing, having as constraints a maximum response time and a limited number of equipment. The model was applied to 3080 real incidents, occurred between March and June of 2018, and the results showed that when the maximum response time is restricted, the quantity of tows has to be raised to make sure that there is an adequate servicing. Therefore, the service level expected to be achieved in the answer to incidents is what most influences the results, regardless of the weight associated to the minimization of CO $$_{2}$$ 2 emissions.

Suggested Citation

  • Marina Baltar & Victor Abreu & Glaydston Ribeiro & Laura Bahiense, 2021. "Multi-objective model for the problem of locating tows for incident servicing on expressways," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 58-77, April.
    • Handle: RePEc:spr:topjnl:v:29:y:2021:i:1:d:10.1007_s11750-020-00567-w
    DOI: 10.1007/s11750-020-00567-w
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    References listed on IDEAS

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    1. Kaan Ozbay & Cem Iyigun & Melike Baykal-Gursoy & Weihua Xiao, 2013. "Probabilistic programming models for traffic incident management operations planning," Annals of Operations Research, Springer, vol. 203(1), pages 389-406, March.
    2. Geroliminis, Nikolas & Karlaftis, Matthew G. & Skabardonis, Alexander, 2009. "A spatial queuing model for the emergency vehicle districting and location problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 798-811, August.
    3. Yafeng Yin, 2006. "Optimal Fleet Allocation of Freeway Service Patrols," Networks and Spatial Economics, Springer, vol. 6(3), pages 221-234, September.
    4. Pal, Raktim & Bose, Indranil, 2009. "An optimization based approach for deployment of roadway incident response vehicles with reliability constraints," European Journal of Operational Research, Elsevier, vol. 198(2), pages 452-463, October.
    5. Nicole Adler & Alfred Hakkert & Jonathan Kornbluth & Tal Raviv & Mali Sher, 2014. "Location-allocation models for traffic police patrol vehicles on an interurban network," Annals of Operations Research, Springer, vol. 221(1), pages 9-31, October.
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