Determination of Optimal Reserve of Semi finished Products between Three Machines in Series

Author:
T. Venkatesan1, C.Muthu2 and R. Sathiyamoorthy3
Affiliation:

1Assistant Professor, Department of Mathematics, Sri Venkateswara College of Engineering & Technology, Thirupachur tamil Nadu India

2Associate Professor in Statistics, St Joseph's College Trichy Tamil Nadu India

3Professor of Statistics(rtd), Annamalai University Annamalai Nagar Tamil Nadu India

Email:- statmaths80@gmail.com

Keyword:
 Optimal reserve , Semi finished products , machines in series, first order statistic and nth order statistic.
Issue Date:
August 2011
Abstract:

 In inventory control there are many models based on the concepts of reliability theory. The concept of stations in series has been used to find the optimal quantity of semi finished products between two machines in series. This problem can be extended to the case of three machines in series and in such a case the reserve S1 is the quantity of semi finished product generated by M1 and S2 stands for the quantity of semi finished product by M2. In this paper the optimal size of the reserves S1 and Sare obtained under the assumption that the break down duration of the first machine M2 is a random variable distributed as first order statistic, similarly it is also distributed as nth order statistic. 
 

Pages:
313-324
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
jusps-B
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Copy the following to cite this article:

T. Venkatesan1, C.Muthu2 and R. Sathiyamoorthy3 , "Determination of Optimal Reserve of Semi finished Products between Three Machines in Series ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 2, Page Number 313-324, 2016

Copy the following to cite this URL:

T. Venkatesan1, C.Muthu2 and R. Sathiyamoorthy3 , "Determination of Optimal Reserve of Semi finished Products between Three Machines in Series ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 2, Page Number 313-324, 2016

Available from: http://www.ultraphysicalsciences.org/paper/618/

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