Title
A Comment on “Computational Complexity of Stochastic Programming Problems”
Abstract
Although stochastic programming problems were always believed to be computationally challenging, this perception has only recently received a theoretical justification by the seminal work of Dyer and Stougie (Math Program A 106(3):423---432, 2006). Amongst others, that paper argues that linear two-stage stochastic programs with fixed recourse are #P-hard even if the random problem data is governed by independent uniform distributions. We show that Dyer and Stougie's proof is not correct, and we offer a correction which establishes the stronger result that even the approximate solution of such problems is #P-hard for a sufficiently high accuracy. We also provide new results which indicate that linear two-stage stochastic programs with random recourse seem even more challenging to solve.
Year
DOI
Venue
2016
10.1007/s10107-015-0958-2
Mathematical Programming: Series A and B
Keywords
Field
DocType
stochastic programming
Applied mathematics,Mathematical optimization,Stochastic optimization,Computer science,Approximate solution,Stochastic programming,Computational complexity theory
Journal
Volume
Issue
ISSN
159
1-2
0025-5610
Citations 
PageRank 
References 
9
0.51
4
Authors
3
Name
Order
Citations
PageRank
Hanasusanto, Grani Adiwena1865.71
Daniel Kuhn255932.80
Wolfram Wiesemann341621.96