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Title: Optimal lot sizing policy with power demand and composed shortages under trade credits

Authors: H.S. Shukla; R.P. Tripathi; Neha Sang; S.K. Tiwari

Addresses: Department of Mathematics and Statistics, DDU Gorakhpur University, 273009, India ' Department of Mathematics, Graphic Era University, Dehradun (UK), India ' Department of Mathematics and Statistics, DDU Gorakhpur University, 273009, India ' Department of Mathematics, Saket Post Graduate College, Dr. Ram Mahonar Lohia University, Ayodhyay, Faizabad (UP) India

Abstract: This paper deals with an optimal ordering policy for non-deteriorating item with power demand under trade credits. The shortages are allowed and combination of backlogged and lost sales. Mathematical model is developed under two different situations, i.e., case 1: the permissible delay period is less than time to finish positive inventory and case 2 trade credit period is greater than or equal to time to finish positive inventory. Numerical examples are provided to illustrate the algorithm and theoretical results. The sensitivity analysis is provided on the optimal solution. The second order approximations are used for exponential terms to find the complexity on the optimal solution.

Keywords: inventory; composed shortages; stock-dependent demand; credit period; order quantity.

DOI: 10.1504/IJKMTH.2017.084582

International Journal of Knowledge Management in Tourism and Hospitality, 2017 Vol.1 No.1, pp.20 - 39

Available online: 14 Jun 2017 *

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