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Unreliable multiserver queueing system with modified vacation policy
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bhargava, Charu Jain, Madhu |
| Copyright Year | 2014 |
| Abstract | This paper presents modeling and analysis of Markovian multiserver queue under (e, d) single vacation policy with server breakdowns and repairs. In such a system with c servers, when some (say d < c) servers become idle at a service completion time, then e(≤ d) servers take single vacation only. During idle as well as busy state, the servers are subject to accidental breakdowns. We formulate the model as a quasi-birth-and-death (QBD) process. By employing matrix geometric method, some stationary performance measures after service completion are established. Furthermore, the direct search algorithm is used to simultaneously determine the optimal number of idle, vacationing and total number of servers at minimum cost. Numerical illustration is facilitated to explore the effect of the number of servers, vacation rate, failure and repair rates on the performance measures of interest. Furthermore, the numerical results obtained are compared by using soft computing approach based on adaptive neuro fuzzy inference system (ANFIS). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.researchgate.net/profile/Madhu_Jain7/publication/257790043_Unreliable_multiserver_queueing_system_with_modified_vacation_policy/links/0c96053c8ccefc6e25000000.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Adaptive neuro fuzzy inference system Analysis of algorithms Computation (action) Error-tolerant design Fuzzy control system Inference engine Network congestion Neuro-fuzzy Numerical analysis Probability Queueing theory Search algorithm Server (computer) Server (computing) Soft computing Stationary process Steady state Surgical repair Total Number vacation |
| Content Type | Text |
| Resource Type | Article |