Discrete-time analysis of batch servers with bounded idle time and two job classes

M. Dümmler, A. K. Schömig

Research Report 162

Abstract:

 

Production processes where several jobs are loaded into a single machine and processed simultaneously are common in semiconductor manufacturing. These machines are called batch servers. In this paper, we extend previous studies of batch servers introducing two job classes. One job class receives privileged service to model prioritized jobs.

To study the impact of the percentage of prioritized jobs on the system performance we utilize the discrete-time analysis technique, widely used for the performance evaluation of modern communication systems. The intent of this paper is to present first results and to demonstrate the feasibility of discrete-time analysis technique for operational research in semiconductor manufacturing rather than to attempt any rigor mathematical treatment of the numerical algorithms.