Study on two-stage uncertain programming based on uncertainty theory

Mingfa Zheng (), Yuan Yi (), Zutong Wang () and Jeng-Fung Chen ()
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Mingfa Zheng: Xi’an Jiaotong University
Yuan Yi: Xi’an Jiaotong University
Zutong Wang: Air Force Engineering University
Jeng-Fung Chen: Feng Chia University

Journal of Intelligent Manufacturing, 2017, vol. 28, issue 3, No 16, 633-642

Abstract: Abstract In this paper, based on uncertainty theory, we first present a new class of two-stage uncertain programming model and give its deterministic equivalent programming problem. Then some fundamental properties of the two-stage uncertain programming problem, including the convexity of feasible set as well as objective function, are investigated. In addition, a solution method by employing an efficiently heuristic algorithm, called artificial bee colony algorithm, is applied to solve the two-stage uncertain programming problem. Finally, some numerical examples are provided to illustrate the novel method introduced in this paper.

Keywords: Uncertainty theory; Two-stage uncertain programming; Convexity; Artificial bee colony algorithm (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10845-014-1012-6

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