A three-level relief chain including a number of suppliers in fixed locations, candidate distribution centers and affected areas at certain points are considered. A mixed integer nonlinear programming model is proposed for open transportation location routing problem by considering split delivery of demand. To solve a realistic problem, foregoing parameters are considered as fuzzy in our propos...

The Multi-Depot Vehicle Routing Problem (MDVRP) is a generalization of SDVRP, in which multiple vehicles start from multiple depots and return to their original depots at the end of their assigned tours. The MDVRP is NP-hard, therefore, the development of heuristic algorithms for this problem class is of primary interest. This paper solves Multi-Depot Vehicle Routing Problem with Cellular Ant A...

The multi-depot pickup and delivery problem with heterogeneous fleet and soft time windows (MDPDPHSTW) requires to find a minimum cost routing for a fleet vehicles with different capacities and based at different depots, satisfying a given set of customers. A customer request is associated with two locations: a source where a certain demand must be picked up and a destination where this demand ...

Aiming at the multi-depot heterogeneous vehicle routing problem under time-dependent road network and soft time window, considering fixed cost, window penalty cost transportation an optimization model of is established with objective minimizing distribution cost. According to characteristics problem, a hybrid genetic algorithm variable neighborhood search temporal–spatial distance designed. Cus...

Using Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands Abstract In this paper, the capacitated location routing problem with fuzzy demands (CLRP_FD) is considered. In CLRP_FD, facility location problem (FLP) and vehicle routing problem (VRP) are observed simultaneously. Indeed the vehicles and the depots have a predefined capacity to serve the customerst...

How to reduce the accidents of hazardous materials has become an important and urgent research topic in safety management materials. In this study, we focus on half open multi-depot heterogeneous vehicle routing problem for transportation. The goal is determine allocation optimal route with minimum risk cost A novel transportation model presented considering variation loading, types, category. ...