Title: A linear time-dependent deteriorating inventory model with linearly time-dependent demand rate and inflation

Authors: R.P. Tripathi; Manjit Kaur

Addresses: Department of Mathematics, Graphic Era University, Dehradun (UK), India ' Department of Mathematics, Banasthali University, Rajasthan, India

Abstract: This paper considers inventory model for linearly time-dependent deteriorating items with linearly time dependent demand. Inflation is also taken into account. The model discusses allowable shortages. Mathematical model has been derived to obtain the optimal cycle time and optimal total average cost for items. The objective of this is to minimise the total average cost. Numerical examples are provided to validate the proposed model. Results are also illustrated with the help of sensitivity analysis.

Keywords: time-dependent deterioration; time-dependent demand; inflation; shortage; inventory.

DOI: 10.1504/IJCSM.2018.10015906

International Journal of Computing Science and Mathematics, 2018 Vol.9 No.4, pp.352 - 364

Accepted: 13 Jun 2017
Published online: 05 Sep 2018 *

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