Future paths for integer programming and links to artificial intelligence
Computers and Operations Research - Special issue: Applications of integer programming
New insertion and postoptimization procedures for the traveling salesman problem
Operations Research
Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem
Annals of Operations Research - Special issue on Tabu search
Modern heuristic techniques for combinatorial problems
Modern heuristic techniques for combinatorial problems
Modern heuristic techniques for combinatorial problems
Routing winter gritting vehicles
CO89 Selected papers of the conference on Combinatorial Optimization
A tabu search heuristic for the vehicle routing problem
Management Science
An adaptive memory heuristic for a class of vehicle routing problems with minmax objective
Computers and Operations Research
Computers and Operations Research
Communications of the ACM
Metaheuristics for the capacitated VRP
The vehicle routing problem
Local Search in Combinatorial Optimization
Local Search in Combinatorial Optimization
A tabu scatter search metaheuristic for the arc routing problem
Computers and Industrial Engineering - Special issue: Focussed issue on applied meta-heuristics
A Genetic Algorithm for the Capacitated Arc Routing Problem and Its Extensions
Proceedings of the EvoWorkshops on Applications of Evolutionary Computing
New Heuristics and Lower Bounds for the Min-Max k -Chinese Postman Problem
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
Improvement Procedures for the Undirected Rural Postman Problem
INFORMS Journal on Computing
A Tabu Search Heuristic for the Capacitated Arc Routing Problem
Operations Research
A Variable Neighborhood Descent Algorithm for the Undirected Capacitated Arc Routing Problem
Transportation Science
Wireless sensor network aided search and rescue in trails
Proceedings of the 2nd international conference on Scalable information systems
A Tabu Search Heuristic for the Prize-collecting Rural Postman Problem
Electronic Notes in Theoretical Computer Science (ENTCS)
Kripke modelling and verification of temporal specifications of a multiple UAV system
Annals of Mathematics and Artificial Intelligence
Hi-index | 0.01 |
In this paper we present a tabu search algorithm for the min-max k-Chinese postman problem (MM k-CPP). Given an undirected edge-weighted graph and a distinguished depot node, the MM k-CPP consists of finding k 1 tours (starting and ending at the depot node) such that each edge is traversed by at least one tour and the length of the longest tour is minimized. A special emphasis is put on investigating the trade-off between running time effort and solution quality when applying different improvement procedures in the course of the neighborhood construction. Furthermore, different neighborhoods are analyzed. Extensive computational results show that the tabu search algorithm outperforms all known heuristics and improvement procedures.Scope and purpose Given a road network, the Chinese postman problem (CPP) is to find the shortest postman tour covering all the roads in the network. Applications of the CPP include road maintenance, garbage collection, mail delivery, etc. Since usually large road networks have to be serviced the work load must be distributed among k ≥ 2 vehicles. In contrast to the usual objective to minimize the total distance traveled by the k vehicles (k-CPP), for the min-max k-Chinese postman problem (MM k-CPP) the aim is to minimize the length of the longest of the k tours. This kind of objective is preferable when customers have to be served as early as possible. Furthermore, tours will be enforced to be more balanced resulting in a fair scheduling of tours. Although the CPP and the k-CPP are polynomially solvable, the MM k-CPP is NP-hard. Hence, we must rely on heuristics producing approximate solutions. The purpose of this paper is to present a tabu search algorithm for the MM k-CPP which outperforms all known heuristics. In many cases we obtained solutions which could be proved to be near-optimal or even optimal.