作者:
BEREANU, BUNIV BONN
SONDER FORSCH BEREICH 72D-5300 BONN 1FED REP GER MINIST EDUC
CTR MATH STATISTICSBUCHARESTROMANIA
It is proved a sufficient condition that the optimal value of a linear program be a continuous function of the coefficients. The condition isessential, in the sense that, if it is not imposed, then examples with disco...
详细信息
It is proved a sufficient condition that the optimal value of a linear program be a continuous function of the coefficients. The condition isessential, in the sense that, if it is not imposed, then examples with discontinuous optimal-value function may be found. It is shown that certain classes of linear programs important in applications satisfy this condition. Using the relation between parametric linear programming and the distributionproblem in stochasticprogramming, a necessary and sufficient condition is given that such a program has optimal value. Stable stochastic linear programs are introduced, and a sufficient condition of such stability, important in computation problems, is established.
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