Uncertain multilevel programming: Algorithm and applications. (November 2015)

• Record Type: Journal Article
• Authors: Liu, Baoding; Yao, Kai
• Is Part Of: Computers & industrial engineering. Volume 89(2015)
• Page Start: 235
• Page End: 240
• Publication Date: 2015-11
• Subjects: Uncertainty theory -- Uncertain programming -- Multilevel programming -- Stackelberg–Nash equilibrium -- Genetic algorithm; Engineering -- Data processing -- Periodicals; Industrial engineering -- Periodicals; 620.00285
• DOI: 10.1016/j.cie.2014.09.029
• Languages: English
• ISSNs: 0360-8352

Abstract

Highlights: Proposing an uncertain multilevel programming model. Deriving the equivalent crisp model. Application in a production control problem. Abstract: Multilevel programming is used to model a decentralized planning problem with multiple decision makers in a hierarchical system. This paper aims at providing an uncertain multilevel programming model that is a type of multilevel programming involving uncertain variables. Besides, a genetic algorithm is employed to solve the model. As an illustration, the uncertain multilevel programming model is applied to a product control problem.