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...

In this paper, a vehicle routing problem for the delivery of frozen and chilled products is explored. The formulated as mixed integer programming model to minimize total load-dependent distance instead distance. an adaptation from energy-minimizing problem. addition formulation, Cluster-First-Route-Second-based heuristic approach developed alternative solution. performance both mathematical sol...

Manufacturers, who re-supply a large number of customers, continually struggle with the question of how to formulate a replenishment strategy. The purpose of this paper is to determine the optimal set of routes for a group of vehicles in the transportation network under defined constraints – which is known as the Vehicle Routing Problem (VRP) – delivering new items, and resolving the invent...

the location-routing problem is a relatively new branch of logistics system. its objective is to determine a suitable location for constructing distribution warehouses and proper transportation routing from warehouse to the customer. in this study, the location-routing problem is investigated with considering fuzzy servicing time window for each customer. another important issue in this regard ...

in this paper we address the vrpcd, in which a set of homogeneous vehicles are used to transport products from the suppliers to customers via a cross-dock. the products can be consolidated at the cross-dock but cannot be stored for very long as the cross-dock does not have long-term inventory-holding capabilities. the objective of the vrpcd is to minimize the total traveled distance while respe...

the vehicle routing problem with backhauls (vrpb) as an extension of the classical vehicle routing prob-lem (vrp) attempts to define a set of routes which services both linehaul customers whom product are to be delivered and backhaul customers whom goods need to be collected. a primary objective for the problem usually is minimizing the total distribution cost. most real-life problems have othe...

customer service level is of prime importance in today competitive world and has various dimensions with delivery quality being one of the most important ones. delivery quality has several parameters such as deliver time window options, time window size, etc. in this paper we focus on one of these parameters, namely time window setting. it has a direct impact upon customer satisfaction and busi...

In recent years, great efforts have been made to reduce greenhouse gas emissions by vehicles. Petroleum products produces greenhouse gas emissions, therefore reducing the use of these products can make a major contribution to reducing pollution. The Fleet Size and Mix Vehicle Routing Problem is one of the most widely used routing branches. In this problem, there are vehicle with different capac...