Heterogeneous travelling repairmen problem with time windows (hetTRPTW) is customer oriented problem with large possibilities for practical applications in logistics area. Models and algorithms developed for solving one problem with a cumulative objective function may be, with a little effort, transformed for solving similar problem with a cumulative function. In that sense, aim of this paper i...

Stochastic Approach to Vehicle Routing Problem: Development and Theories Abstract In this article, a chance constrained (CCP) formulation of the Vehicle Routing Problem (VRP) is proposed. The reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. Knowing that reliable computer software...

The vehicle routing problem with simultaneous pickup and delivery (VRPSPD) is a well-known combinatorial optimization problem which addresses provided service to a set of customers using a homogeneous fleet of capacitated vehicles. The objective is to minimize the distance traveled. The VRPSPD is an NP-hard combinatorial optimization problem. Therefore, practical large-scale instances of VR...

The vehicle routing problem with simultaneous pickup and delivery (VRPSPD) is a well-known combinatorial optimization problem which addresses provided service to a set of customers using a homogeneous fleet of capacitated vehicles. The objective is to minimize the distance traveled. The VRPSPD is an NP-hard combinatorial optimization problem. Therefore, practical large-scale instances of VR...

This paper presents a novel GRASP algorithm based on a new randomized heuristic for solving the capacitated vehicle routing problem. This problem is characterized by a fleet of homogenous vehicle capacity that will start from one depot, to serve a number of customers with demands that are less than the vehicle capacity. The proposed method is based on a new constructive heuristic, and a simulat...

In this paper we tackle a two-echelon location-routing problem (2E-LRP) by a tabu search metaheuristic. The aim is to define the location and number of two kinds of capacitated facilities, the size of two different vehicle fleets and the related routes on each echelon. The proposed Tabu Search (TS) for the 2E-LRP is based on the decomposition of the problem in two location-routing sub-problems,...

This paper presents a unified exact method for solving an extended model of the well-known Capacitated Vehicle Routing Problem (CVRP), called the Heterogenous Vehicle Routing Problem (HVRP), where a mixed fleet of vehicles having different capacities, routing and fixed costs is used to supply a set of customers. The HVRP model considered in this paper contains as special cases: the Single Depot...

The vehicle routing problem VRP is a well-known combinatorial optimization problem. It has been studied for several decades because finding effective vehicle routes is an important issue of logistic management. This paper proposes a new hybrid algorithm based on two main swarm intelligence SI approaches, ant colony optimization ACO and particle swarm optimization PSO , for solving capacitated v...

This paper considers a capacitated vehicle routing problem with fuzzy random travel time and demand (FRVRP). A chance-constrained multiobjective programming is presented based on fuzzy random theory and converted to a crisp equivalent models under some assumptions. To solve such a multiobjective combinatorial optimization problem, this paper presents a hybrid multiobjective particle swarm optim...