Title
Decision Rule Bounds for Two-Stage Stochastic Bilevel Programs.
Abstract
We study two-stage stochastic bilevel programs where the leader chooses a binary here-and-now decision and the follower responds with a continuous wait-and-see decision. Using modern decision rule approximations, we construct lower bounds on an optimistic version and upper bounds on a pessimistic version of the leader's problem. Both bounding problems are equivalent to explicit mixed-integer linear programs that are amenable to efficient numerical solution. The method is illustrated through a facility location problem involving sellers and customers with conflicting preferences.
Year
DOI
Venue
2018
10.1137/16M1098486
SIAM JOURNAL ON OPTIMIZATION
Keywords
Field
DocType
bilevel programming,stochastic programming,decision rules
Decision rule,Mathematical optimization,Mathematical economics,Bilevel optimization,Facility location problem,Stochastic programming,Mathematics,Bounding overwatch,Binary number
Journal
Volume
Issue
ISSN
28
1
1052-6234
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Ihsan Yanikoglu100.34
Daniel Kuhn255932.80