Title: A comparative study of optimal replenishment policy for a retailer in declining market

Authors: Subrata Saha

Addresses: Department of Mathematics, Institute of Engineering & Management, Salt Lake Electronic Complex, Kolkata-700091, West Bengal, India

Abstract: The aim of this article is to provide an analytical solution to a retailer whether to adopt positive stock on hand or stockless inventory policy. Mathematical models are developed for both the policies for a product with price and time sensitive demand to maximise the profit functions. Here, unlike the conventional inventory models with pricing strategy, which were restricted to pre-specified replenishment or pricing cycle times and hence fixed number of price changes over the finite time horizon, we allow the number of price changes to be a decision variable for both policies. Within a fixed planning horizon, existence and uniqueness of optimal solutions are verified. A solution procedure is presented to determine optimal inventory policy and corresponding optimal prices, optimal number of pricing cycles, optimal lot size and optimal profit simultaneously. Numerical examples are provided to illustrate the development of the models.

Keywords: inventory modelling; pricing; time-price sensitive demand; replenishment policy; retailers; declining markets; mathematical modelling; price changes; decision variables; inventory policy; optimal prices; pricing cycles; lot sizes; optimal profit.

DOI: 10.1504/IJPM.2015.070897

International Journal of Procurement Management, 2015 Vol.8 No.5, pp.517 - 533

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 22 Jul 2015 *

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