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Prof. Shawky Ahmed Ibrahim Elsayed :: Publications: |
|
| Title: | THE TRUNCATED HYPER-POISSON
QUEUES: / a,b / /
k H M C N WITH BALKING, RENEGING AND
GENERAL BULK SERVICE RULE |
| Authors: | A. I. SHAWKY and M. S. EL-PAOUMY |
| Year: | 2008 |
| Keywords: | Keywords: Hyper-Poisson queues, balking, reneging, general bulk service rule |
| Journal: | Yugoslav Journal of Operations Research |
| Volume: | 18 |
| Issue: | 1 |
| Pages: | 23-36 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
Abstract: The aim of this paper is to derive the analytical solution of the queue: / a,b / / k H M C N with balking and reneging in which (i) units arrive according to a hyper-Poisson distribution with k independent branches, (ii) the queue discipline is FIFO; and (iii) the units are served in batches according to a general bulk service rule. The steady-state probabilities, recurrence relations connecting various probabilities introduced are found and the expected number of units in the queue is derived in an explicit form. Also, some special cases are obtained. |
