An EOQ model for seasonal product with ramp-type time and stock dependent demand, shortage and partial backorder
by Prokash Mondal; Pritha Das; Sudhansu Khanra
International Journal of Mathematics in Operational Research (IJMOR), Vol. 27, No. 3, 2024

Abstract: This study analyses an EOQ model for a seasonal product with ramp-type time and stock dependent demand function under permissible shortages. In the model, deterioration of seasonal products is considered with partial backlog, variable backlog rate, and backlog rate as a function of time until the next replenishment partial backlogging and the backlogging rate is variable and is dependent on waiting time for the next replenishment. Using the optimal control approach, we analytically derive the optimal total average cost and inventory strategy for the retailer over a finite time horizon. We analytically determine the best total average cost and inventory strategy for the merchant over a limited time horizon using the optimal control approach. A numerical application and sensitivity analysis demonstrate practical applicability.

Online publication date: Thu, 18-Apr-2024

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 Mathematics in Operational Research (IJMOR):
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