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Our work departs from the original definition of the Pickup and DeliveryProblem (PDP) and extends it by considering an interchange point (crossdock)where vehicles can exchange their goods with other vehicles in order to shortentheir delivery routes and reduce their running times. Multiple operationalconstraints, such as time windows, vehicle capacities, and the synchronizationof vehicles at the crossdock, are considered. In addition, the specificrequirements of perishable goods, which should not be carried on long trips,are taken into account. Given this consideration, this study introduces thePickup and Delivery Problem with Crossdock for Perishable Goods (PDPCDPG) andmodels it as a nonlinear programming problem. PDPCDPG is then reformulated to aMILP with the use of linearizations and its search space is tightened with theaddition of valid inequalities that are employed when solving the problem toglobal optimality with Branch-and-Cut. Various computational experiments areconducted on benchmark instances found in the literature to assess theperformance of our model. The results demonstrate the solution stability of theproposed approach. The proposed model aims to provide a practical and effectiveapproach for transportation and logistics companies dealing with time-sensitivedeliveries.

The Pickup and Delivery Problem with Crossdock for Perishable Goods