Time-dependent vehicle routing problem (TDVRP) is concerned with vehicle routing optimization in road networks with fluctuant link travel time. Firstly, Time-dependent functions about routing time indicator and routing threat indicator are introduced. Secondly, a time-dependent heuristic function including routing distance indicator, routing time indicator and routing threat indicator is constr...

One of the important aspects of distribution optimization problems is simultaneously, controlling the inventory while devising the best vehicle routing, which is a famous problem, called inventory-routing problem (IRP). When the lot-sizing decisions are jointed with IRP, the problem will get more complicated called production inventory-routing problem (PIRP). To become closer to the real life p...

Nowadays, using a rental fleet to transport goods for delivering customers at particular time frame is very important in the services and industry. That why, this study, we consider heterogeneous fixed open vehicle routing problem with windows, which one version of windows. The has not attracted attention so much operational research literature than usual problem. consists determining minimum c...

In this paper, a novel methodology is proposed to solve a cooperative multi-depot vehicle routing problem. We establish a mathematical model for multi-owner VRP in which each owner (i.e. player) manages single or multiple depots. The basic idea consists of offering an option that owners cooperatively manage the VRP to save their costs. We present cooperative game theory techniques for cost savi...

this research presents and solves a new mathematical model for school bus routing problem (sbrp). sbrp is a specific case of vehicle routing problem (vrp). despite prevalent models, this model includes location and routing simultaneously. besides, the vehicles are non-homogenous. in addition, instead of locating schools which are the depots, we consider locating bus stops that are mentioned &ap...

Over the two last decades, distribution companies have been aware of the importance of paying attention to the all aspects of a distribution system simultaneously to be successful in the global market. These aspects are the economic, the environmental, the social and the safety aspects. In the Vehicle Routing Problem (VRP) literature, the economic issue has often been used, while the environmen...

This paper develops an MILP model, named Satisfactory-Green Vehicle Routing Problem. It consists of routing a heterogeneous fleet of vehicles in order to serve a set of customers within predefined time windows. In this model in addition to the traditional objective of the VRP, both the pollution and customers’ satisfaction have been taken into account. Meanwhile, the introduced model prepares a...

The competitive vehicle routing problem is one of the important issues in transportation area. In this paper a new method for competitive VRP with time windows and stochastic demand is introduced. In the presented method a three time bounds are given and the probability of arrival time between each time bound is assumed to be uniform. The demands of each customer are different in each time wind...