A home supplies manufacturer manufactures many products and each requires workers with different skills. The manufacturer invites a contracting company to supply workers with different skills for each phase of the pro...
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A home supplies manufacturer manufactures many products and each requires workers with different skills. The manufacturer invites a contracting company to supply workers with different skills for each phase of the production process. The problem becomes a production and work force assignment problem, which can be considered as a bi-level programming problem. The supplier, as the upper decision maker, aims to achieve the objective of maximizing gross revenue by making decisions concerning production levels. The contracting company, as the lower-level decision maker, regards the target to be maximizing profit by making decisions concerning the number of assigned workers. There are uncertainties during the production process and therefore the problem has random fuzzy coefficients. To deal with the uncertainties, a general linear bi-level model with random fuzzy variables is introduced and several properties and crisp equivalents are proposed. Then an interactiveprogramming method is applied to deal with the derived expected bi-level programming problem;after several iterations, the interactive solutions converge to the optimal one. Lastly, a numerical example is also presented to demonstrate the proposed optimization methods.
In this paper, we consider a class of linear bi-level programming with random fuzzy coefficients, which has no mathematical meaning because of the uncertain factors. So in order to make it solvable, we introduced the ...
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ISBN:
(纸本)9783662472415
In this paper, we consider a class of linear bi-level programming with random fuzzy coefficients, which has no mathematical meaning because of the uncertain factors. So in order to make it solvable, we introduced the linear chance constrained bi-level model. And some theorems are proposed to obtain the equivalent model. Then we employ the interactive programming technique to deal with the bi-level equivalent model. At last an illustrative example is present to show the efficiency.
In this paper, we consider a class of linear bi-level programming with random fuzzy coefficients, which has no mathematical meaning because of the uncertain factors. In order to make it solvable, we introduced the lin...
详细信息
ISBN:
(纸本)9781479953721
In this paper, we consider a class of linear bi-level programming with random fuzzy coefficients, which has no mathematical meaning because of the uncertain factors. In order to make it solvable, we introduced the linear bi-level model with expected objectives and chance constraints, and propose some theorems to obtain the equivalent models. Then we employ the interactive programming technique to deal with the bi-level equivalent model. And finally we present an illustrative example to show the efficiency of the models and approaches.
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