GENERAL ANALYSIS OF SINGLE PRODUCT INVENTORY MODEL – WITH PRODUCTION BY TWO UNITS SYSTEM AND SALES

  • S. Parvathi Department of Mathematics, VelTech MultiTech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai, Tamil Nadu, India
  • S. Srnivasa Raghavan Department of Mathematics, VelTech MultiTech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai, Tamil Nadu, India
Keywords: Inventory System, Single Product, Two-Unit System, Seasonal Sales

Abstract

In this paper a two units system produces a single product for sale. The single product is produced one by one. The sale time starts when k number of products is produced or when the two units system fails whichever occurs first. Assuming the production and sale time of products have general distribution and the failure and repair rates of the two units are constants, the double Laplace transform of the joint distribution function of the time to sale and sale time are obtained. Their expectations are derived. Numerical examples are presented.

 

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Published
2014-10-28
Section
Articles