International Journal of Nonlinear Analysis and Applications
Optimal pricing policy for stock dependent demand with effective investment in preservation technology
Document Type : Research Paper
Authors
1 Department of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar M.P. India (A Central University)
2 Department Management Studies(DOM), Indian Institute of Technology(IIT), Madras, India
Abstract
In this paper, we suggested an optimal pricing policy for deteriorating items. To reduce the rate of deterioration, we apply a preservation technology and calculate the optimal preservation technology investment. The demand function is dependent on time, stock and selling price. Shortages are allowed in our consideration, and two cases are studied, first complete back-ordering and the second one is partially back-ordering. Our main objective is to find the optimal cycle length, ordering frequency the optimal preservation technology investment and the optimal selling price that maximizes the total profit. This model proves that the total profit is a concave function of the selling price, ordering frequency, preservation technology investment and time cycle. Numerical examples are provided to illustrate the features and advances of the model. A sensitivity analysis is performed in order to assess the stability of the proposed model.
Keywords
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Volume 12, Issue 2
November 2021Pages 249-264
- Receive Date: 30 March 2019
- Revise Date: 05 December 2019
- Accept Date: 04 January 2020