Research Article Open Access

Constrained Single Period Stochastic Uniform Inventory Model With Continuous Distributions of Demand and Varying Holding Cost

Hala A. Fergany and M. E. El-Saadani

Abstract

This paper derives the single period stochastic inventory model with continuous distributions of demand and the holding unit cost is a function of the purchased (ordered) quantity. The objective is to find the optimal purchased quantity which minimizes the expected total cost for the period under a restriction on the expected varying holding cost when the demand during the period follows the uniform, the exponential and the Laplace distributions, using the Lagrange multiplier approach. Some special cases are deduced and illustrative numerical examples with some graphs are added.

Journal of Mathematics and Statistics
Volume 2 No. 1, 2006, 334-338

DOI: https://doi.org/10.3844/jmssp.2006.334.338

Published On: 31 March 2006

How to Cite: Fergany, H. A. & El-Saadani, M. E. (2006). Constrained Single Period Stochastic Uniform Inventory Model With Continuous Distributions of Demand and Varying Holding Cost. Journal of Mathematics and Statistics, 2(1), 334-338. https://doi.org/10.3844/jmssp.2006.334.338

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Keywords

  • Stochastic inventory model
  • zero lead time
  • varying holding cost
  • continuous distribution