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Journal ArticleDOI

Algorithms for the vehicle routing and scheduling problems with time window constraints

Marius M. Solomon
- 01 Apr 1987 - 
- Vol. 35, Iss: 2, pp 254-265
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TLDR
This paper considers the design and analysis of algorithms for vehicle routing and scheduling problems with time window constraints and finds that several heuristics performed well in different problem environments; in particular an insertion-type heuristic consistently gave very good results.
Abstract
This paper considers the design and analysis of algorithms for vehicle routing and scheduling problems with time window constraints. Given the intrinsic difficulty of this problem class, approximation methods seem to offer the most promise for practical size problems. After describing a variety of heuristics, we conduct an extensive computational study of their performance. The problem set includes routing and scheduling environments that differ in terms of the type of data used to generate the problems, the percentage of customers with time windows, their tightness and positioning, and the scheduling horizon. We found that several heuristics performed well in different problem environments; in particular an insertion-type heuristic consistently gave very good results.

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Citations
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Journal ArticleDOI

An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows

TL;DR: This paper presents a heuristic for the pickup and delivery problem based on an extension of the large neighborhood search heuristic previously suggested for solving the vehicle routing problem with time windows that is very robust and is able to adapt to various instance characteristics.
Book

Handbook of Constraint Programming

TL;DR: Researchers from other fields should find in this handbook an effective way to learn about constraint programming and to possibly use some of the constraint programming concepts and techniques in their work, thus providing a means for a fruitful cross-fertilization among different research areas.
Journal ArticleDOI

A general heuristic for vehicle routing problems

TL;DR: A unified heuristic which is able to solve five different variants of the vehicle routing problem and shown promising results for a large class of vehicle routing problems with backhauls as demonstrated in Ropke and Pisinger.
Book ChapterDOI

Using Constraint Programming and Local Search Methods to Solve Vehicle Routing Problems

Paul Shaw
TL;DR: In this paper, a local search method called Large Neighbourhood Search (LNS) is used to solve vehicle routing problems, analogous to the shuffling technique of job shop scheduling.
Journal ArticleDOI

Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms

TL;DR: How heuristic methods should be evaluated and proposed using the concept of Pareto optimality in the comparison of different heuristic approaches are discussed.
References
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Journal ArticleDOI

Scheduling of Vehicles from a Central Depot to a Number of Delivery Points

TL;DR: An iterative procedure is developed that enables the rapid selection of an optimum or near-optimum route and has been programmed for a digital computer but is also suitable for hand computation.
Journal ArticleDOI

Computer solutions of the traveling salesman problem

TL;DR: Two algorithms for solving the (symmetric distance) traveling salesman problem have been programmed for a high-speed digital computer and are based on a general heuristic approach believed to be of general applicability to various optimization problems.
Journal ArticleDOI

Integer Programming Formulation of Traveling Salesman Problems

TL;DR: The present paper provides yet another example of the versatility of integer programming as a mathematical modeling device by representing a generalization of the well-known “Travelling Salesman Problem” in integer programming terms.
Journal ArticleDOI

A Heuristic Algorithm for the Vehicle-Dispatch Problem

TL;DR: The sweep algorithm generally produces results that are significantly better than those produced by Gaskell's savings approach and are generally slightly better than Christofides and Eilon's results; however, the sweep algorithm is not as computationally efficient as Gaskell’s and is slightly less so than Christ ofides andEilon's.
Journal ArticleDOI

A generalized assignment heuristic for vehicle routing

TL;DR: This paper presents a heuristic for this problem in which an assignment of customers to vehicles is obtained by solving a generalized assignment problem with an objective function that approximates delivery cost and shows that it has outperformed the best existing heuristics on a sample of standard test problems.
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