Performance Measures for Two Machine Production Line with Finite Intermediate Buffer

S.B. Kulshreshtha; A.K. Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V4I7P1

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 7 | Year 2013 | Article Id. IJMTT-V4I7P1 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I7P1

Performance Measures for Two Machine Production Line with Finite Intermediate Buffer

S.B. Kulshreshtha , A.K. Singh

Citation :

S.B. Kulshreshtha , A.K. Singh, "Performance Measures for Two Machine Production Line with Finite Intermediate Buffer," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 7, pp. 107-115, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I7P1

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.

Keywords

Production line, Matrix-Geometric method, Blocking, starvation, Buffer, Inventory level.

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