• C.Selvamurugan
• S.Sachithanantham
• V.Ganesan

In Inventory control one of the interesting and important problems is the determination of optimal reserve inventory size between two machines in a serial system. The output of the machine M1 is the raw material for machine M2. The breakdown of the M1 will force the machine M2 to go to the breakdown stage. Therefore the reserve inventory in between two machines is maintained. The optimal size of the reserve inventory is determined taking into consideration a random duration of breakdown of M1, consumption rate of M2, the holding cost as well as shortage cost of inventory. Several researchers have discussed this problem. In this paper it is assumed that machine M1 is in the first stage and the two machines M21 and M22 are in the second stage. The optimal reserve inventory level is derived assuming that the breakdown duration of M1 follows first and nth order statistics under logistic distribution. Numerical illustration is also provided.

Optimal Reserve Inventory, Breakdown Duration, Order Statistics, Logistic distribution.

"A Study on Optimal Reserve Inventory Between Machines Through Order Statistics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 11, page no.345-353, November-2018, Available :http://www.jetir.org/papers/JETIR1811653.pdf

"A Study on Optimal Reserve Inventory Between Machines Through Order Statistics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 11, page no. pp345-353, November-2018, Available at : http://www.jetir.org/papers/JETIR1811653.pdf