Title
A branch and bound method for stochastic global optimization
Abstract
A stochastic branch and bound method for solving stochastic global optimization problems is proposed. As in the deterministic case, the feasible set is partitioned into compact subsets. To guide the partitioning process the method uses stochastic upper and lower estimates of the optimal value of the objective function in each subset. Convergence of the method is proved and random accuracy estimates derived. Methods for constructing stochastic upper and lower bounds are discussed. The theoretical considerations are illustrated with an example of a facility location problem.
Year
DOI
Venue
1998
10.1007/BF02680569
Math. Program.
Keywords
Field
DocType
Stochastic programming, Global optimization, Branch and bound method, Facility location
Convergence of random variables,Stochastic optimization,Mathematical optimization,Global optimization,Facility location problem,Continuous-time stochastic process,Branch and bound method,Stochastic programming,Mathematics,Global optimization problem
Journal
Volume
Issue
ISSN
83
1-3
1436-4646
Citations 
PageRank 
References 
95
11.01
4
Authors
3
Name
Order
Citations
PageRank
Vladimir I. Norkin113317.03
Georg Ch. Pflug238554.09
Andrzej Ruszczyński379884.38