Sankhya: The Indian Journal of Statistics
2000, Volume 62, Series A, Pt. 2, 273--281
A SIMPLE TRANSIENT ANALYSIS OF AN M/M/1/N QUEUE
O.P. SHARMA, Indian Institute of Technology, New Delhi
A.M.K. TARABIA, Damietta Faculty of Science, New Damietta, Egypt
SUMMARY. A simple series form is obtained for the transient state probabilities of a single server Markovian queue with finite waiting space whence all particular cases concerning infinite waiting space and steady-state situations can be derived straight away. Also the coefficients in the series satisfy iterative recurrence relations which enable fast and accurate numerical computations.
AMS (1991) subject classification. Primary 60K25; secondary 90B22, 90C40.
Key words and phrases. Transient, recurrence relations, integral value, Maclaurin's expansion.
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