%0 Journal Article
%T Application of Bender¡¯s Decomposition Solving a Feed¨Cmix Problem among Supply and Demand Uncertainties
%A Somsakaya Thammaniwit
%A Peerayuth Charnsethikul
%J International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
%D 2013
%I 
%X 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.
%K Large-scale Feed-mix Problem
%K Bender¡¯s Decomposition
%K Two-stage Stochastic Programming
%U http://tuengr.com/V04/111-128.pdf