Multiple lot-sizing decisions with an interrupted geometric yield and variable production time |
| |
Authors: | Hsi-Mei Hsu Tai-Sheng Su Muh-Cherng Wu Liang-Chuan Huang |
| |
Affiliation: | aDepartment of Industrial Engineering and Management, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsin-Chu 30010, Taiwan |
| |
Abstract: | 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. |
| |
Keywords: | Lot-sizing Interrupted geometric distribution Dynamic programming Production lead-time Production/inventory system |
本文献已被 ScienceDirect 等数据库收录! |
|