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MP
2002
93views more  MP 2002»
13 years 11 months ago
Conditioning of convex piecewise linear stochastic programs
In this paper we consider stochastic programming problems where the objective function is given as an expected value of a convex piecewise linear random function. With an optimal s...
Alexander Shapiro, Tito Homem-de-Mello, Joocheol K...
CCE
2004
13 years 11 months ago
Optimization under uncertainty: state-of-the-art and opportunities
A large number of problems in production planning and scheduling, location, transportation, finance, and engineering design require that decisions be made in the presence of uncer...
Nikolaos V. Sahinidis
ORL
2006
118views more  ORL 2006»
13 years 11 months ago
On complexity of multistage stochastic programs
In this paper we derive estimates of the sample sizes required to solve a multistage stochastic programming problem with a given accuracy by the (conditional sampling) sample aver...
Alexander Shapiro
MP
2006
106views more  MP 2006»
13 years 11 months ago
Worst-case distribution analysis of stochastic programs
We show that for even quasi-concave objective functions the worst-case distribution, with respect to a family of unimodal distributions, of a stochastic programming problem is a u...
Alexander Shapiro
MP
2006
101views more  MP 2006»
13 years 11 months ago
Computational complexity of stochastic programming problems
Stochastic programming is the subfield of mathematical programming that considers optimization in the presence of uncertainty. During the last four decades a vast amount of litera...
Martin E. Dyer, Leen Stougie
MP
2006
90views more  MP 2006»
13 years 11 months ago
Solving multistage asset investment problems by the sample average approximation method
The vast size of real world stochastic programming instances requires sampling to make them practically solvable. In this paper we extend the understanding of how sampling affects ...
Jörgen Blomvall, Alexander Shapiro
MP
2006
87views more  MP 2006»
13 years 11 months ago
Convexity and decomposition of mean-risk stochastic programs
Abstract. Traditional stochastic programming is risk neutral in the sense that it is concerned with the optimization of an expectation criterion. A common approach to addressing ri...
Shabbir Ahmed
MP
2006
107views more  MP 2006»
13 years 11 months ago
Convergence theory for nonconvex stochastic programming with an application to mixed logit
Monte Carlo methods have been used extensively in the area of stochastic programming. As with other methods that involve a level of uncertainty, theoretical properties are required...
Fabian Bastin, Cinzia Cirillo, Philippe L. Toint
MP
2008
117views more  MP 2008»
13 years 11 months ago
Stochastic programming approach to optimization under uncertainty
In this paper we discuss computational complexity and risk averse approaches to two and multistage stochastic programming problems. We argue that two stage (say linear) stochastic ...
Alexander Shapiro
ANOR
2006
133views more  ANOR 2006»
13 years 11 months ago
Horizon and stages in applications of stochastic programming in finance
To solve a decision problem under uncertainty via stochastic programming means to choose or to build a suitable stochastic programming model taking into account the nature of the r...
Marida Bertocchi, Vittorio Moriggia, Jitka Dupacov...