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Research Article · Open access · Published 26 June 2015

Economic Order Quantity with Linearly Time Dependent Demand Rate and Shortages

R. P. Tripathi1, D. Singh2 & Tushita Mishra2

Journal of Mathematics and Statistics, Volume 11, Issue 1, pp. 21–28 · doi.org/10.3844/jmssp.2015.21.28

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Abstract

This paper presents an inventory model with linearly time dependent rate and shortages under trade credits. We show that the total cost per unit is convex function of time. Some properties have also been discussed based an optimal solution. The results are discussed with the help of numerical examples. Sensitivity analyses with a variety of numerical results showing the effect of model parameters on key performance measures are demonstrated. Mathematica 7 software is used for finding numerical solutions.

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Tripathi, R. P., Singh, D. & Mishra, T. (2015). Economic Order Quantity with Linearly Time Dependent Demand Rate and Shortages. Journal of Mathematics and Statistics, 11(1), 21–28. https://doi.org/10.3844/jmssp.2015.21.28

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Economic Order Quantity with Linearly Time Dependent Demand Rate and ShortagesJournal of Mathematics and Statistics · Volume 11, Issue 1 · pp. 21–28 · CC BY 3.0Download