Title :
Approximation algorithms for the Street sweeping problem
Author :
Hernandez Sanchez, L.F. ; Chavez Lomeli, L.E. ; Zaragoza Martinez, F.J.
Author_Institution :
Posgrado en Optimizacion, UAM Azcapotzalco, Mexico City, Mexico
fDate :
Sept. 29 2014-Oct. 3 2014
Abstract :
The Street sweeping problem (SSP) is a variation of the Windy postman problem (WPP) in which we must construct two tours traversing every edge, and each edge must be traversed once in each direction: one on the first tour and the opposite in the second tour. The computational complexity of this problem remains open. We present a (3/2 α + 1)-approximation algorithm for the SSP using an α-approximation algorithm for the WPP. We also present exact algorithms for some classes of graphs.
Keywords :
approximation theory; computational complexity; graph theory; vehicle routing; α-approximation algorithm; SSP; WPP; Windy postman problem; computational complexity; graph class; street sweeping problem; Algorithm design and analysis; Approximation algorithms; Approximation methods; Cities and towns; Polynomials; Routing; Vectors; approximation algorithms; street sweeping problem; windy postman problem;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control (CCE), 2014 11th International Conference on
Conference_Location :
Campeche
Print_ISBN :
978-1-4799-6228-0
DOI :
10.1109/ICEEE.2014.6978276