Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics
We consider the vehicle routing problem with stochastic demands (VRPSD). We give randomized approximation algorithms achieving approximation guarantees of 1+α for split-delivery VRPSD, and 2+α for unsplit-delivery VRPSD; here α is the best approximation guarantee for the traveling salesman problem. These bounds match the best known for even the respective deterministic problems [Altinkemer, K., B. Gavish. 1987. Heuristics for unequal weight delivery problems with a fixed error guarantee. Oper. Res. Lett. 6(4) 149-158; Altinkemer, K., B. Gavish. 1990. Heuristics for delivery problems with constant error guarantees. Transportation Res. 24(4) 294-297]. We also show that the "cyclic heuristic" for split-delivery VRPSD achieves a constant approximation ratio, as conjectured in Bertsimas [Bertsimas, D. J. 1992. A vehicle routing problem with stochastic demand. Oper. Res. 40(3) 574-585]. © 2012 INFORMS.
Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics
Chi-Leung Wong, Zehra Sura, et al.
I-SPAN 2002
Thomas R. Puzak, A. Hartstein, et al.
CF 2007
Rajeev Gupta, Shourya Roy, et al.
ICAC 2006