Production-Routing-Inventory in Post-Disaster Conditions: a Multi-Objective Mathematical Model and Two Algorithms

The production-routing-inventory problem is a combination of three classic issues, routing, inventory, and lot sizing. Reviewing these issues together in the integrity of the supply chain is very important. On the other hand, to preserve the lives of affected people, before, during, and after a disaster, considering the crisis is a humanitarian affair. In this paper, we presented a bi-objective mixed-integer linear model. The first objective function minimized the cost of producing relief goods and holding inventory, and the second one minimized the time to get relief goods to the affected people. To solve the model, we used the GAMS software for small-sized problems and the simulated annealing (SA) and the bee colony (BC) algorithms for large-sized problems. Results showed that the SA and BC algorithms provided close answers, but the SA algorithm could achieve the results in less time than the BC algorithm.