Optimal Ordering policy in demand declining market under inflation when supplier credits linked to order quantity

Authors

  • Nita H. Shah Department of Mathematics
  • Kunal T. Shukla

DOI:

https://doi.org/10.1285/i20705948v4n2p131

Keywords:

Demand declining market, inflation, trade credit, lot – size

Abstract

In this research paper, a lot–size model is proposed when supplier offers the retailer a credit period to settle the account if the retailer orders a large quantity. The proposed study is meant for demand declining market. Here, the retailer needs to arrive at a static decision when demand of a product is decreasing and on the other side the supplier offer the credit period if the retailer orders for more than pre – specified quantity. Shortages are not allowed and the effect of inflation is incorporated. The objective to minimize the total cost in demand declining market under inflation when the supplier offers a credit period to the retailer if the ordered quantity is greater than or equal to pre – specified quantity. An easy – to – use flow chart is given to find the optimal replenishment time and the order quantity. The mathematical formulation is supported by a numerical example. The sensitivity analysis of parameters on the optimal solution is carried out.

Author Biography

Nita H. Shah, Department of Mathematics

Dr. Nita H. Shah is an associate Professor in department of Mathematics, Gujarat university. She has more than 150 publications in International journals.

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Published

14-10-2011