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- Title
ON MARKOV STRUCTURES OF QUEUEING MODELS.
- Authors
Gupta, Nirmal Kumr; Thakur, Raja Ram; Kumari, Sangita; Anand, Aditya Kumar
- Abstract
Our main aim is to optimize the design of a Markov Queueing Model[1] with exponential distribution. Ziya and Takage studied optimization problem for Queueing models with probability distribution. The main thrust is on deriving the characteristic properties of classi f ication problem of discrete type and continuous type Queueing system and its fuzzy extension. The Perron-Frobenius eigenvalue of a nonnegative matrix provides information for a complete classi fication of the Markov process in developing a computational method to determine recurrent Markov process of matrix M/G/1 type with a tree structure. The conditions for identification of the positive recurrence and transience of the Markov processes of M/G/1 type has been derived by iterative method.
- Subjects
MARKOV processes; QUEUING theory; EXPONENTIAL functions; DISTRIBUTION (Probability theory); ITERATIVE methods (Mathematics)
- Publication
Bulletin of Pure & Applied Sciences-Mathematics, 2013, Vol 32E, Issue 1, p47
- ISSN
0970-6577
- Publication type
Article