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Production and work force assignment problem: A bi-level programming approach

INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT 2015年第1期10卷 50-61页

作者： Zhou, Xiaoyang Tu, Yan Lev, Benjamin Shaanxi Normal Univ Int Business Sch Xian 710062 Peoples R China Sichuan Univ Uncertainty Decis Making Lab Chengdu 610064 Sichuan Peoples R China Drexel Univ LeBow Coll Business Dept Decis Sci Philadelphia PA 19104 USA

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 interactive programming 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.

关键词： linear bi-level programming random fuzzy variable expected objective expected constraints interactive programming technique

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A Class of Chance Constrained Linear Bi-Level programming with Random Fuzzy Coefficients 9

A Class of Chance Constrained Linear Bi-Level Programming wi...

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9th International Conference on Management Science and Engineering Management (ICMSEM)

作者： Zhou, Xiaoyang Tu, Yan Hu, Ruijia Lev, Benjamin Sichuan Univ Uncertainty Decis Making Lab Chengdu 610064 Peoples R China Shaanxi Normal Univ Int Business Sch Xian 710062 Peoples R China Hunan Univ Sch Econ & Trade Changsha 410079 Hunan Peoples R China Drexel Univ LeBow Coll Business Dept Decis Sci Philadelphia PA 19104 USA

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.

关键词： Linear bi-level programming Random fuzzy variable Chance constraints interactive programming technique

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A class of random fuzzy linear bi-level programming with expected objectives and chance constraints 7

A class of random fuzzy linear bi-level programming with exp...

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7th International Joint Conference on Computational Sciences and Optimization (CSO)

作者： Zhou, Xiaoyang Tu, Yan Lu, Quanying Chai, Jian Shaanxi Normal Univ Int Business Sch Xian 710062 Peoples R China Sichuan Univ Uncertainty Decis Making Lab Chengdu 610065 Peoples R China

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.

关键词： Linear bi-level programming Random fuzzy variable expected objective chance constraints interactive programming technique

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