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Profitable pre-assigned pickup and delivery problem with product compatibility

Author

Listed:
  • Darvish, Maryam
  • Mancini, Simona

Abstract

This paper addresses a profitable pre-assigned pickup and delivery problem with product compatibility, motivated by a real case in less-than-truckload rural logistics. Couriers follow pre-assigned routes but may accept additional tasks if they are profitable and operationally feasible. Transported goods belong to different categories, some of which are mutually incompatible and must be handled sequentially or by different vehicles. A central decision maker assigns optional requests to available couriers, taking into account vehicle capacity, compatibility constraints, and detour-based compensation. The objective is to maximize platform revenue, defined as the total profit from served requests minus driver compensation. We propose a mixed-integer programming model to obtain optimal solutions for small-sized instances, and a multi-neighborhood matheuristic to extend analysis to larger scenarios. Computational experiments, including a real case study and sensitivity analyses, provide managerial insights into the trade-offs between profitability, detour costs, and product compatibility.

Suggested Citation

  • Darvish, Maryam & Mancini, Simona, 2026. "Profitable pre-assigned pickup and delivery problem with product compatibility," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 213(C).
  • Handle: RePEc:eee:transe:v:213:y:2026:i:c:s1366554526003066
    DOI: 10.1016/j.tre.2026.104967
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