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Geometric programming with probabilistic decision variables

Published online by Cambridge University Press:  17 February 2009

T. R. Jefferson
Affiliation:
School of Mechanical and Industrial Engineering, University of N.S.W., P.O. Box 1, Kensington, N.S.W. 2033, Australia
C. H. Scott
Affiliation:
School of Mechanical and Industrial Engineering, University of N.S.W., P.O. Box 1, Kensington, N.S.W. 2033, Australia
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Abstract

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Here we consider a particular class of stochastic geometric programs in which the randomness occurs in the decision variables. Specifically we analyse a program in which we specify a joint normal probability for the dicision variables and require the constraint set to be satisfied in the chance constrained mode. A numerical example is given to illustrate the approach.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1980