Application of Bender's Decomposition Solving a Feedmix Problem among Supply and Demand Uncertainties
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Creator Somsakaya Thammaniwit
Title Application of Bender's Decomposition Solving a Feedmix Problem among Supply and Demand Uncertainties
Contributor Peerayuth Charnsethikul
Publisher TUENGR Group
Publication Year 2556
Journal Title International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
Journal Vol. 4
Journal No. 2
Page no. 111-128
Keyword Large-scale Feed-mix Problem, Bender's Decomposition, Two-stage Stochastic Programming
URL Website http://tuengr.com
Website title International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
ISSN 2228-9860
Abstract The feed-mix problem is primarily transformed into a mixing situation applying a mathematic formulation with uncertainties. These uncertainties generate the numerous expansions of alternative constraint equations. The given problem has been formulated as mathematic models which correspond to a large-scale Stochastic Programming that cannot be solved by the most popular ordinary calculation method, Simplex Method: LINPROG. This research aims to investigate effective methodology to reveal the optimal solution. The authors have examined the method of Bender's decomposition: BENDER and developed both methods into MATLAB? program and calculated comparatively. The results revealed that the nearest optimal solutions can be determined by means of a Two-stage Stochastic Programing incorporated with Bender's decomposition at the most intensive number of uncertainties and take less calculation time than by LINPROG.
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