International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 12, Pages 737-747
doi:10.1155/S0161171201005841
An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
Ragab Omarah Al-Seedy1
and Fawziah M. Al-Ibraheem2
1Department of Mathematics, Teacher's College in Al-Ahsa, Saudi Arabia
2Department of Mathematics, Science College for Girls in Dammam, Saudi Arabia
Abstract
The aim of this paper is to treat the analytical solution of the truncated interarrival hyperexponential machine interference queue: H2/M/1/m+Y/m+Y in case of two branches with the following concepts: balking, reneging, state-dependent, spares, and an additional server for longer queues. Our research treats the general case for the values of m and Y considering the discipline FIFO. And some special cases have been verified.