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...

this paper addresses the vehicle routing problem with delivery time cost. this problem aims to find a set of routes of minimal total costs including the travelling cost and delivery time cost, starting and ending at the depot, in such a way that each customer is visited by one vehicle given the capacity of the vehicle to satisfy a specific demand. in this research, a hybrid metaheuristic approa...

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...

In this paper we deal with a generalization of the Vehicle Routing Problem with Time Windows that considers time-dependent travel times and costs. Through several steps we transform this extension into an Asymmetric Capacitated Vehicle Routing Problem, so it can be solved both optimally and heuristically with known codes.

IDSIA-02-03 Abstract The Time Dependent Vehicle Routing Problem, TDVRP, consists in optimally routing a fleet of vehicles of fixed capacity when the traveling times are dependent on time, that is, the time of the day when the trip on a leg was initiated. The delivery to a customer must also satisfy the customer’s delivery time window. The optimization consists in finding the solution that minim...

In this paper, we introduce a multi vehicle version of the Time-Dependent PrizeCollecting Arc Routing Problem (TD-MPARP). It is inspired by a situation where a transport manager has to choose between a number of full truck load pick-ups and deliveries to be performed by a fleet of vehicles. Real-life traffic situations where the travel times change with the time of day are taken into account. T...