A class of multi‐objective equilibrium chance maximization model with twofold random phenomenon and its application to hydropower station operation

In this paper, a multi‐objective decision‐making model with birandom parameters is proposed. A birandom simulation technique is developed to tackle general birandom objective functions and birandom constraints. Combined with a birandom simulation technique, a genetic algorithm is designed for solving a birandom multi‐objective decision‐making problem. The proposed model and algorithm are applied to a hydropower station operation problem. The stochastic model and fuzzy programming approach are used for comparison to illustrate the usefulness of the proposed model and algorithm.