Performance Measures for Two Machine Production Line with Finite Intermediate Buffer
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 7
Abstract
The present paper deals with two machine production lines system with state dependent rate. We have used matrix geometric method to determine the state probabilities. These probabilties are used to find out steady state output and average inventory level of production line, which is separated by a finite intermediate buffer. The processing time, inter failure time and repair times of each machine are exponentially distributed. The machines are subject to the blocking as well as starvation due to variability of processing time. The method proposed can be used to develop a suitable algorithm for implementation purpose.
Authors and Affiliations
S. B. Kulshreshtha#1, A. K. Singh
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