A stock-dependent inventory model in an imperfect production process
by Biswajit Sarkar, Kripasindhu Chaudhuri, Shib Sankar Sana
International Journal of Procurement Management (IJPM), Vol. 3, No. 4, 2010

Abstract: The paper deals with an economic manufacturing quantity model for stock-dependent demand in an imperfect production process. In long run of a manufacturing process, the system undergoes out-of-control state and the process begins to produce imperfect quality products. The production of imperfect quality items depends on time and reliability parameter. These imperfect items are reworked at a cost to restore to its original quality. Moreover, the development cost that varies with reliability parameter of the manufacturing system is introduced to reduce the percentage of imperfect quality items. In our model, the unit production cost is a function of reliability parameter and production rate. The profit function is maximised by Euler-Lagrange method by considering different type's costs. The unit production cost and development cost which are functions of reliability parameter vary with changes with technology and resources. Concavity of the profit function in the numerical example establishes the existence of the global maximum solution which is graphically illustrated. The inventory/production versus time and optimal development cost versus optimal reliability are also demonstrated graphically.

Online publication date: Thu, 30-Sep-2010

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
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 Procurement Management (IJPM):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your 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