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A robust optimization approach for the vehicle routing problem with selective backhauls

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  • Santos, Maria João
  • Curcio, Eduardo
  • Mulati, Mauro Henrique
  • Amorim, Pedro
  • Miyazawa, Flávio Keidi

Abstract

The Vehicle Routing Problem with Selective Backhauls (VRPSB) aims to minimize the total routing costs minus the total revenue collected at backhaul customers. We explore a VRPSB under uncertain revenues. A deterministic VRPSB is formulated as a mixed-integer programming problem and two robust counterparts are derived. A novel method to estimate the probabilistic bounds of constraint violation is designed. A robust metaheuristic is developed, requiring little time to obtain feasible solutions with average gap of 1.40%. The robust approach studied demonstrates high potential to tackle the problem, requiring similar computing effort and maintaining the same tractability as the deterministic modeling.

Suggested Citation

  • Santos, Maria João & Curcio, Eduardo & Mulati, Mauro Henrique & Amorim, Pedro & Miyazawa, Flávio Keidi, 2020. "A robust optimization approach for the vehicle routing problem with selective backhauls," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:transe:v:136:y:2020:i:c:s136655451930081x
    DOI: 10.1016/j.tre.2020.101888
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    4. Santos, Maria João & Curcio, Eduardo & Amorim, Pedro & Carvalho, Margarida & Marques, Alexandra, 2021. "A bilevel approach for the collaborative transportation planning problem," International Journal of Production Economics, Elsevier, vol. 233(C).

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