determination of optimal reserves between three machines in series
Dr.T.Venkatesan,C.Muthu ,R.Sathiyamoorthy
Published in International Journal of Advanced Research in Mathematics and Applications
ISSN: 2350-028X Impact Factor:1.2 Volume:1 Issue:1 Year: 23 May,2016 Pages:74-82
Abstract
When a product is processed by two machines M1 and M2 in series, the breakdown of M1 leads to the idle time of M2 since the output of M1 is the input for M2. This is the problem of two machines in series. But when three machines are in series the stock or inventory of semi finished products between M1 and M2, as well as between M2 and M3 are required. The optimal level of inventory at two locations namely between M1 and M2 similarly between M2 and M3 is suggested. In this paper the optimal value of S1 and S2 namely the stock at two locations is found out by taking in to consideration the relevant costs of inventory holding and a shortage . Numerical illustrations are also provided.
Kewords
Optimal Reserves, Semi Finished Products, Three Machines in Series
Reference
1. Hannsmaan (1962). Operations Research in Production and Inventory Control, John Wiley and Sons, Inc. New York. 2. Ramachandran and Sathiyamoorthi (1981). Optimal Reserve for two machines, IEEE Trans on Reliability, Vol. R.30, No. 4, p. 397. 3. Rajagopal and Sathiyamoorthi (2003). An Extension of the Optimal Reserve Inventory level between Machines Model Proceedings of the Second National Conference on Mathematical and Computational Models PSG College of Engg., Dec. 11 .12. 4. Venkatesan , Muthu and Sathiyamoorthy (2011). Determination of Optimal Reserve of Semi finished products between three machines in series, Ultra science Vol. 23(2) M, pp 313.324.
