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A note on “The EPQ with partial backordering and phase-dependent backordering rate”
Authors:Tsu-Pang Hsieh  Chung-Yuan Dye
Affiliation:a Department of Business Administration, Aletheia University, Tamsui, Taipei 251, Taiwan, ROC
b Graduate School of Business and Administration, Shu-Te University, Yen-Chao, Kaohsiung 824, Taiwan, ROC
Abstract:Pentico et al. [The EPQ with partial backordering and phase-dependent backordering rate. Omega 2011;39(5):574-7] recently proposed an EPQ model with partial backordering. They tried to determine the minimum average total cost per year from the three cases: to lose all sales, to meet all demand, and to allow stockouts with partial backordering. In this paper, we solve the same model without differential calculus and present a different decision procedure. Without the comparison of those costs, a numerical example is illustrated to determine the optimal production policy by our criteria.
Keywords:Production lot sizing   Phase-dependent backordering rate   EPQ   Partial backordering   Arithmetic-geometric mean inequality
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