Performance Analysis of Multi-processor Two-Stage Tandem Call Center Retrial Queues with Non-Reliable Processors
| Autor: | R. Rukmani, B. Krishna Kumar, R. Navaneetha Krishnan, R. Sankar |
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| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Queueing theory Stationary distribution General Mathematics 010102 general mathematics Ergodicity Real-time computing Process (computing) 01 natural sciences Stability (probability) 010104 statistics & probability Center (algebra and category theory) 0101 mathematics Orbit (control theory) Queue Mathematics |
| Zdroj: | Methodology and Computing in Applied Probability. 24:95-142 |
| ISSN: | 1573-7713 1387-5841 |
| DOI: | 10.1007/s11009-020-09842-6 |
| Popis: | We analyze a multi-processor two-stage tandem call center retrial queueing network in which the processors are subject to active breakdowns and repairs at stage-I. A level-dependent quasi-birth-and-death (LDQBD) process is formulated and a sufficient condition for ergodicity of the system is discussed. Under the stability condition, the stationary distribution of the number of calls in the system, the mean number of calls in the orbit, the mean waiting time of calls in the orbit and the mean busy period of the system along with other descriptors of the system are determined by using the matrix-analytic techniques. Besides, the availability analysis of the processors is also studied. Further, we have also discussed the characteristics of the first-passage time to reach the orbit critical level, the number of calls served in the call center during this period and their corresponding moments. Finally, extensive numerical results are presented to highlight the impact of the system parameters on the performance measures of the two-stage tandem call center retrial queueing system under investigation. |
| Databáze: | OpenAIRE |
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