T. Watanabe et H. Ellis, A JOINT CHANCE-CONSTRAINED PROGRAMMING-MODEL WITH ROW DEPENDENCE, European journal of operational research, 77(2), 1994, pp. 325-343
Citations number
53
Categorie Soggetti
Management,"Operatione Research & Management Science
Joint chance-constrained stochastic programming models typically requi
re random row vector independence. A joint model is developed that inc
orporates not only within-constraint covariance as is usually the case
, but also admits dependence between constraints, that is, row depende
nce. The objective function of the associated chance-constrained deter
ministic equivalent is a multivariate normal distribution with dimensi
on equal to the number of chance constraints in the original problem.
We discuss methods to solve this multinormal integral and evaluate its
derivatives. The model is implemented in portable Fortran and applied
to two 9-D test problems.