Title
On the vehicle routing problem
Abstract
In the Vehicle Routing Problem (VRP), as in the Traveling Salesman Problem (TSP), we have a metric space of customer points, and we have to visits all customers. Additionally, every customer has a demand, a quantity of a commodity that has to be delivered in our vehicle from a single point called the depot. Because the vehicle capacity is bounded, we need to return to the depot each time we run out of the commodity to distribute. We describe a fully polynomial time algorithm with approximation 2.5, we also modify this algorithm for the on-line version of VRP, the randomized version has competitive ratio of 2.5 on the average, and the deterministic version has ratio 4. We also describe 2 approximation for a restricted version of the problem.
Year
DOI
Venue
2005
10.1007/11534273_32
WADS
Keywords
Field
DocType
randomized version,customer point,vehicle routing problem,competitive ratio,deterministic version,restricted version,polynomial time algorithm,salesman problem,vehicle capacity,on-line version,traveling salesman problem,metric space
Approximation algorithm,Combinatorics,Mathematical optimization,Vehicle routing problem,Steiner tree problem,Computer science,Travelling salesman problem,Time complexity,Deterministic system (philosophy),Competitive analysis,Bounded function
Conference
Volume
ISSN
ISBN
3608
0302-9743
3-540-28101-0
Citations 
PageRank 
References 
2
0.37
7
Authors
2
Name
Order
Citations
PageRank
Piotr Berman1323.31
Surajit K. Das220.37