Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This work investigates the joint replenishment problem (JRP) involving multiple items where economies exist for replenishing several items simultaneously.
The demand rate for each item is known and constant.
Shortages are not permitted and lead times are negligible.
Many heuristic algorithms have been proposed to find quality solutions for the JRP.
In this paper, cycle time division and recursive tightening methods are developed to calculate an efficient and optimal replenishment policy for JRP.
Two theorems are demonstrated to guarantee that an optimal solution to the problem can be derived using cycle time division and recursive tightening methods.
Restated, cycle time division and recursive tightening methods theoretically yield the optimal solution in 100% of instances.
The complexity of cycle time division and recursive tightening methods is just O(NlogN), where N represents the number of items involved in the problem.
Numerical examples are included to demonstrate the algorithmic procedures.
American Psychological Association (APA)
Ho, Wen-Tsung. 2013. Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009486
Modern Language Association (MLA)
Ho, Wen-Tsung. Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009486
American Medical Association (AMA)
Ho, Wen-Tsung. Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009486
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009486