In an ordinary linear programming problem we assume that all the parameters, i.e. the coefficients of the objective function, the inequalities and the resource availabilities, are sure numbers known without errors. This is frequently not a realistic assumption in economic models, where the errors of aggregation t1], the extraneous nature of estimates t2] and even the incidence of market expectations are quite significant. Hence in economic models one should be careful in accepting the results of linear programming without an analysis of the errors involved [3]. Stochastic linear programming (also called risk programming) is one of the most powerful techniques for optimal decision-making under uncertainty. In practice, of course, economic data are always liable to errors of various types. In stochastic linear programming, some or all of the parameters become random variables, i.e. we know only their probability distribution. A distinction is generally made between the two approaches to stochastic linear programming: the passive (also termed the 'wait and see') approach and the active (also termed the ' here and now ' approach). In the passive approach t4], the probability distribution of the objective function is derived explicitly or by numerical approximations, and decision rules are based on some features of the distribution, i.e. some measure of central tendency, of dispersion or other characteristics such as the 95 per cent. confidence interval. In the active approach F4] the decision variables are the amounts of resources to be allocated to the various activities. A risk preference functional corresponding to the stochastic objective function is usually specified, and the decision variables, i.e. allocation of resources, are chosen to optimize the expected value or other characteristics of the risk preference functional. We shall attempt here to prove two simple theorems relating to the passive and active approaches, and to derive some operational methods for numerical approximation of the probability distribution of the objective function. This idea will be illustrated with the help of a two-sector development planning model in India in its static and dynamic framework. In this connection we shall also examine the relations between the certainty-equivalent method t5] (when each random variable is replaced by its expected value, assumed to be finite) and the expected value approach (when, in the active and passive approaches, decision rules are based
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