Browsing by Author "Su, Tai-Sheng"

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Multiple lot-sizing decisions with an interrupted geometric yield and variable production time
(2009-10-01)
Hsu, Hsi-Mei
;
Su, Tai-Sheng
;
Wu, Muh-Cherng
;
Huang, Liang-Chuan
;
工業工程與管理學系
This study examines a multiple lot-sizing problem for a single-stage production system with an interrupted geometric distribution, which is distinguished in involving variable production lead-time. In a finite number of setups, this study determined the optimal lot-size for each period that minimizes total expected cost. The following cost items are considered in optimum lot-sizing decisions: setup cost, variable production cost, inventory holding cost, and shortage cost. A dynamic programming model is formulated in which the duration between current time and due date is a stage variable, and remaining demand and work-in-process status are state variables. This study then presents an algorithm for solving the dynamic programming problem. Additionally, this study examines how total expected costs of optimal lot-sizing decisions vary when parameters are changed. Numerical results show that the optimum lot-size as a function of demand is not always monotonic. (C) 2009 Elsevier Ltd. All rights reserved.