Title: Coordinating replenishment and marketing policies for non-instantaneous deteriorating items with imprecise deterioration free time and general deterioration and holding cost rates

Authors: Amirhosein Patoghi; Mostafa Setak

Addresses: Department of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran ' Department of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran

Abstract: In this paper an inventory system for non-instantaneous deteriorating items with imprecise deterioration free time is developed. We adopt a price and advertisement frequency dependent demand function, and in order to reach a general framework, arbitrary functions of deterioration and holding cost rates are hired. The major objective is to determine the optimal selling price, the optimal replenishment cycle and the optimal frequency of advertisement such that, the total profit is maximised. In order to determine the optimal solution several theoretical results are derived which indicate existence and uniqueness of the optimal solution. Thereafter, based on these theoretical results an iterative solution is developed. Finally, numerical examples are provided to demonstrate solution procedure, then sensitivity analysis is performed, it is shown that optimal policy under uncertain environment and crisp environment are identical and finally some managerial insights are proposed.

Keywords: inventory; imprecise deterioration free time; arbitrary deterioration and holding cost rates; price and advertisement dependent demand.

DOI: 10.1504/IJIR.2018.092355

International Journal of Inventory Research, 2018 Vol.5 No.1, pp.38 - 59

Received: 27 Jul 2017
Accepted: 07 Sep 2017
Published online: 16 Jun 2018 *