Convergence Results for Vehicle Routing Problems with Stochastic Demands
نویسندگان
چکیده
In this work we investigate two variants of the Stochastic Vehicle Routing Problem: The Vehicle Routing Problem with Stochastic Demands and the Vehicle Routing Problem with Stochastic Demands and Customers. We show that under some moderate conditions there is an asymptotic equivalence between the Vehicle Routing Problem with Stochastic Demands and the Traveling Salesman Problem, as well as between the Vehicle Routing Problem with Stochastic Demands and Customers and the Probabilistic Traveling Salesman Problem. Based on our results we give explanations for different observations in literature and we provide ideas for the development of new approximation algorithms and heuristics for these problems.
منابع مشابه
Competitive Vehicle Routing Problem with Time Windows and Stochastic Demands
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...
متن کاملSTOCHASTIC VEHICLE ROUTING PROBLEMS WITH SIMULTANEOUS PICKUP AND DELIVERY SERVICES
The problem of designing a set of routes with minimum cost to serve a collection of customers with a fleet of vehicles is a fundamental challenge when the number of customers to be dropped or picked up is not known during the planning horizon. The purpose of this paper is to develop a vehicle routing Problem (VRP) model that addresses stochastic simultaneous pickup and delivery in the urban pub...
متن کاملA hybrid meta-heuristic algorithm for the vehicle routing problem with stochastic travel times considering the driver's satisfaction
A vehicle routing problem is a significant problem that has attracted great attention from researchers in recent years. The main objectives of the vehicle routing problem are to minimize the traveled distance, total traveling time, number of vehicles and cost function of transportation. Reducing these variables leads to decreasing the total cost and increasing the driver's satisfaction level. O...
متن کاملUsing Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands
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...
متن کاملAn Inventory Routing Problem for Perishable Products with Stochastic Demands and Direct Deliveries
In any supply chain, distribution planning of products is of great importance to managers. With effective and flexible distribution planning, mangers can increase the efficiency of time, place, and delivery utility of whole supply chain. In this paper, inventory routing problem (IRP) is applied to distribution planning of perishable products in a supply chain. The studied supply chain is compos...
متن کامل