Logarithmic inventory model with shortage for deteriorating items

Authors

  • Uttam Kumar Khedlekar Department of Mathematics and Statistics Dr. Hari Singh Gour Vishwavidyalaya Sagar, Madhya Pradesh, India
  • Diwakar Shukla Department of Mathematics and Statistics Dr. Hari Singh Gour Vishwavidyalaya Sagar, Madhya Pradesh, India
  • Raghovendra Pratap Singh Chandel Department of Mathematics and Statistics, Government Vivekananda Collage Lakhnadon, M.P., India

DOI:

https://doi.org/10.2298/YJOR120925005K

Keywords:

inventory, cycle time, optimality, deterioration, shortage, logarithmic demand

Abstract

In this paper, we have modeled a business which starts with shortage of deteriorating items. After a duration, managers have freedom to order the stock of assurance of committed customers. There are many products that follow logarithmic demand pattern, so in this paper we incorporate it with the shortage of items at the beginning. A new model is developed to obtain the optimal solution for such type of market situation and have obtained some valuable results. Numerical examples and simulation study is appended along with managerial insights.

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Published

2013-10-01

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Research Articles