Research Article | OPEN ACCESS
Random Scrap Rate Effect on Multi-Item Finite Production Rate Model with Multi-Shipment Policy
1Singa Wang Chiu, 2Yi-Yu Kuo, 2Chao-Chih Huang and 2Yuan-Shyi Peter Chiu
1Department of Business Administration
2Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung 413, Taiwan
Research Journal of Applied Sciences, Engineering and Technology 2013 22:5164-5169
Received: July 24, 2012 | Accepted: August 21, 2012 | Published: May 25, 2013
Abstract
This study investigates the effect of random scrap rate on multi-item Finite Production Rate (FPR) model with multi-shipment policy. The classic FPR model considers production planning for single product, a perfect condition during the production run and a continuous inventory issuing policy. However, in real life manufacturing environments, in order to maximize machine utilization, vendors often make plan to produce m products in turn on a single machine. Also, in any given production run due to various different factors, generation of nonconforming items is inevitable. In this study, it is assumed that these defective items cannot be repaired, thus they must be scrapped with an additional cost and delivery of finished products is under a practical multiple shipment policy. Our objective is to determine an optimal common production cycle time that minimizes the long-run average cost per unit time and to investigate the effect of random scrap rate on the optimal common cycle time. Mathematical modeling is employed and renewal reward theorem is used to cope with the variable cycle length. The expected system cost for the proposed multi-item FPR model is derived and its convexity is proved. A closed-form optimal common production cycle time is obtained. A numerical example and sensitivity analysis is provided to demonstrate the practical use of the obtained results.
Keywords:
Common cycle time, finite production rate, inventory, manufacturing, multi-shipment, scrap,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
|
|
|
ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
|
Information |
|
|
|
Sales & Services |
|
|
|