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IOR
2011
152views more  IOR 2011»
12 years 11 months ago
Risk-Averse Two-Stage Stochastic Linear Programming: Modeling and Decomposition
We formulate a risk-averse two-stage stochastic linear programming problem in which unresolved uncertainty remains after the second stage. The objective function is formulated as ...
Naomi Miller, Andrzej Ruszczynski
MP
2008
117views more  MP 2008»
13 years 4 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
HICSS
2007
IEEE
125views Biometrics» more  HICSS 2007»
13 years 11 months ago
Stochastic Model for Power Grid Dynamics
We introduce a stochastic model that describes the quasistatic dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random rem...
Marian Anghel, Kenneth A. Werley, Adilson E. Motte...
CSCLP
2005
Springer
13 years 10 months ago
A Hybrid Benders' Decomposition Method for Solving Stochastic Constraint Programs with Linear Recourse
Abstract. We adopt Benders’ decomposition algorithm to solve scenariobased Stochastic Constraint Programs (SCPs) with linear recourse. Rather than attempting to solve SCPs via a ...
Armagan Tarim, Ian Miguel
SIAMJO
2008
93views more  SIAMJO 2008»
13 years 4 months ago
Stochastic Programs with First-Order Dominance Constraints Induced by Mixed-Integer Linear Recourse
We propose a new class of stochastic integer programs whose special features are dominance constraints induced by mixed-integer linear recourse. For these models, we establish clo...
Ralf Gollmer, Frederike Neise, Rüdiger Schult...