Some comments on the economic lot size of a three-stage supply chain with backordering derived without derivatives

Kun-Jen Chung

European Journal of Operational Research, 2010, vol. 204, issue 3, 683-689

Abstract: Chung and Wee [Chung, C.J., Wee, H.M., 2007. Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives. European Journal of Operational Research 183, 933-943] investigate the economic lot size of a three-stage supply chain with backordering derived without derivatives. Their inventory model is correct and interesting. Basically, they adopt an algebraic approach by using the method of complete squares to locate the optimal solution of the integrated system's total cost TC(q,B,n,M) and ignore the role of the functional behavior of TC(q,B,n,M) in locating the optimal solution of it. However, as argued in this paper [Chung, C.J., Wee H.M., 2007. Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives. European Journal of Operational Research 183, 933-943] need to explore the functional behavior of TC(q,B,n,M) to justify their solution. So, from the viewpoint of logic, the derivations about the optimal solution have some shortcomings such that the validity of the solution procedure in Chung and Wee [Chung, C.J., Wee H.M., 2007. Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives. European Journal of Operational Research 183, 933-943] is questionable. The main purpose of this paper is to overcome those shortcomings and present complete proofs for Chung and Wee [Chung, C.J., Wee H.M., 2007. Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives. European Journal of Operational Research 183, 933-943].

Keywords: Integrated; production; inventory; model; Backlogging; Economic; lot; size (search for similar items in EconPapers)
Date: 2010
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377-2217(09)00854-6
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:204:y:2010:i:3:p:683-689

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().