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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 27, 1993 - Issue 3
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Original Articles

Transient behaviour of a simple queue with discouraged arrivals

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Pages 283-291 | Published online: 20 Mar 2007

References

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  • Ledermann , W. and Reuter , G.E.H. 1954 . Spectral theory for the differential equations of simple birth and death processes . Phil. Trans. Roy. Soc. London , A246 : 321 – 369 .
  • Lewis , J.W. 1982 . Inversion of tridiagonal matrices . Numer. Math , 38 : 333 – 345 .
  • Natvig , B. 1974 . On the transient-state probabilities for a queueing model where potential customers are discouraged by queue length . J. Appl. Probl , 11 : 345 – 354 .
  • Sharma , O.P. 1990 . Markovian Queues , England : Ellis Horwood Limited .
  • Van Doorn , E.A. 1981 . The transient state probabilities for a queueing model where potential customers are discouraged by queue length . J. Appl. Prob , 18 : 499 – 506 .

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