GENERAL ANALYSIS OF SINGLE PRODUCT INVENTORY MODEL – WITH PRODUCTION BY TWO UNITS SYSTEM AND SALES
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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References
Arrow, K. Karlin, S. and Scarf, H. (1958.). Studies in the Mathematical
Theory of Inventory and Production, Standard University Press, Standard,
Daniel, J.K. and Ramanarayanan, R. (1988). An (s,S) inventory system with
Naval Research Logistics, 35, p. 119–123.
Murthy, S. and Ramanarayanan, R. ((2008). One ordering and two ordering
levels Inventory systems units with SCBZ lead time, International Journal of
Pure and Applied Mathematics, 47, 3, p. 427-447
Murthy, S. and Ramanarayanan, R. (2008). Two ordering levels inventory
system with different lead times and rest time to the server, Inter. J. Of
Murthy, S. and Ramanarayanan, R. (2008). Two (s, S) inventories with
The Journal of Modern Mathematics and Statistics, 2 (3), p.
Ramanarayanan, R. (1977). General analysis 1-out of 2: F systems exposed to
, 8(4), p. 237-245
Usha, K. Ramanarayanan, R. (2011). General analysis of systems in which a
unit system is a subsystem, 12(4), p. 629-637
