PESSIMISTIC REFERENTIAL-UNCOOPERATIVE LINEAR BILEVEL MULTI-FOLLOWERS DECISION MAKING WITH APPLICATION TO WATER RESOURCES OPTIMAL ALLOCATION

摘要

In this paper, a pessimistic linear bilevel multi-followers programming problem in a referential-uncooperative situation (for short, PLBMF-RU) is presented where the followers are uncooperative while having cross reference to decision making information of the other followers. The model and the solution definitions of PLBMF-RU is first presented. Then, a simple example is developed to illustrate it. Further-more, the penalized problems are proposed based on the penalty function method to solve PLBMF-RU. Finally, a case study of water resources optimal allocation illustrates the feasibility of the proposed model. This may provide a new way to discuss the pessimistic linear bilevel multi-followers programming problem in a referential-uncooperative situation.