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Univariate Stochastic Programming with Random Decision Variable

Rahul Mukerjee
The Journal of the Operational Research Society
Vol. 33, No. 10 (Oct., 1982), pp. 957-959
DOI: 10.2307/2581002
Stable URL: http://www.jstor.org/stable/2581002
Page Count: 3
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Univariate Stochastic Programming with Random Decision Variable
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Abstract

The problem of minimising E(X) subject to the constraints X ⩾ 0, P(X ⩾ b) ⩾ a(0 < a < 1) has been considered, where b is a non-negative random variable with continuous probability distribution. A necessary and sufficient condition for randomised decisions to be superior to the non-randomised one has been derived.

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