Queuing system with state-dependent controlled batch arrivals and server under maintenance
| Autor: | B. Krishna Kumar, S. R. Anantha Lakshmi, S. Pavai Madheswari |
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| Rok vydání: | 2011 |
| Předmět: |
Statistics and Probability
Mathematical optimization Information Systems and Management Steady state Queue management system Computer science Control (management) Real-time computing Markov process Management Science and Operations Research symbols.namesake Idle Modeling and Simulation symbols Key (cryptography) Discrete Mathematics and Combinatorics Queue Bessel function |
| Zdroj: | TOP. 19:351-379 |
| ISSN: | 1863-8279 1134-5764 |
| DOI: | 10.1007/s11750-011-0196-6 |
| Popis: | This paper deals with a single server Markovian queue subject to maintenance of the server. A batch of customers is allowed whenever the server is idle such that each individual customer in the batch is subject to a control admission policy upon arrival. Explicit expressions are obtained for the time dependent probabilities of the system size in terms of the modified Bessel functions. The steady state analysis and key performance measures of the system are also studied. Finally, some numerical illustrations are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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