ROBUSTNESS IN STOCHASTIC-PROGRAMMING MODELS

Citation
T. Watanabe et H. Ellis, ROBUSTNESS IN STOCHASTIC-PROGRAMMING MODELS, Applied mathematical modelling, 17(10), 1993, pp. 547-554
Citations number
39
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
ISSN journal
0307904X
Volume
17
Issue
10
Year of publication
1993
Pages
547 - 554
Database
ISI
SICI code
0307-904X(1993)17:10<547:RISM>2.0.ZU;2-A
Abstract
Robustness in stochastic programs is addressed through the development of a two-stage stochastic programming model with simple recourse that includes an additional robustness objective. The model is applied to a problem in acid rain control that involves the allocation of emissio n reductions to meet environmental quality standards in eastern North America. Tradeoffs are generated between the original objective functi on of the two-stage model (that minimizes expected constraint violatio n) and the second robustness objective, which represents the gradient of the two-stage objective with respect to selected model parameters. In this application, the parameters are the second moments of transfer coefficients that relate point source SO2 emissions to wet sulfate de position at sensitive receptor locations.