An integrated production-inventory system with lot streaming and complete backordering in a three-stage multi-firm supply chain solved algebraically Online publication date: Mon, 11-Aug-2014
by Kit Nam Francis Leung
International Journal of Business Performance and Supply Chain Modelling (IJBPSCM), Vol. 4, No. 1, 2012
Abstract: We formulate an integrated model of a three-stage multi-firm supply chain based on an integer multiplier at each stage, lot streaming allowed for all suppliers and manufacturers, and complete backordering allowed for some/all retailers. Then we derive the optimal solution to the integrated model using the methods of complete squares and perfect squares. These are simple algebraic approaches so that ordinary readers unfamiliar with differential calculus can understand the optimal solution procedure with ease. For our model, we also need check that the optimal solution, which is algebraically derived, is a global one. We solve a numerical example to illustrate the procedure. We finally deduce Ben-Daya and Al-Nassar's (2008) models and remark on extending to a higher stage multi-firm supply chain from the integrated model.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Business Performance and Supply Chain Modelling (IJBPSCM):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook