A net with serial access and the reduction of total work for identical service
AbstractThis paper looks at the open net in conditions of identical service. The strong reduction of total work and time of expectation on the inlying nodes of net is marked. By using the transform of Legendre, the previous results are generalized on net with the relatively general structure.
A.V. Pavlov, Diffusion approximations and variation of conditions of ergodicity for identical service, Advances of Mathematical Sciences, Science, Moscow, vol. 52, no.3, pp.171–172, 1997.
Andrey Pavlov V., Identical service for consistently located nodes with differen disciplines of service in conditions of heavy traffic, Universal Journal of applied mathematics, Horizon Research Publishing, USA, vol. 1,no.2, pp. 55–62, 2013.
A.V. Pavlov, The disciplines of service with prior to the shortest and identical service, E-print of MGTUREA(MIREA), Number of State Registration 0321401014 from 17 April 2014, Moscow, 2014, http://gslibrary.org/124-248576-0103-h6/ .
A.V. Pavlov, The asymptotically optimal disciplines of service for some multi-channel networks, Theory Probabilities and its Applications, Science, Moscow, vol. 36, no.1, pp.170–175, 1991.
A.V. Pavlov, The asymptotically optimal disciplines of service in the conditions of heavy traffic , Theory Probabilities and its Applications, Science, Moscow, vol. 35, no.4, pp.713–727, 1990.
O.J. Boxma, On a tandem queueing model with identical service time at both counters., Advances in Applied Probability, vol. 11, no. 3, pp. 616–659, 1979.
O.J. Boxma, Q. Deng, Asymptotic behaviour of tandem queueing system with identical service times at both queues, Mathematical Methods of Operation . Research , vol. 52, no. 2, pp. 307–327, 2000.
O.P. Vinogradov, On the output stream and joint distribution of sojourn times in a multiphase system with identical service, Theory Probabilities and its Applications, Science, Moscow, vol. 40, no. 3, pp.646–654, 1995.
F.I. Karpelevitch, A.V. Kreinin, Two-phase system of service (GI|G|1|∞ → G|1|∞) in heavy traffic, Theory Probabilities and its Applications, Science, Moscow, vol. 26, no. 2, pp.302–320, 1981.
A.A. Borovkov, The stochastic process in a theory of service, Science, Moscow, 1972.
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