recurrent flow requirements,
the time from t until the receipt of the following requirement,
the number of requirements received up to the moment t,
the Laplace transform,
the Laplace-Stieltjes,
the distribution functions.
Subject:
The finding of the main characteristics of recurrent flow, its moments of arbitrary order of the residual time and the number of received requests to an arbitrary point of time in explicit analytical form.
V. A. Ivnitskii, “On the Invariance of Stationary State Probabilities of a Non-Product-Form Single-Line Queueing System”, Probl. Peredachi Inf., 38:4 (2002), 136–146; Problems Inform. Transmission, 38:4 (2002), 368–376
V. A. Ivnitskiĭ, “A multichannel queueing system with a distinguished channel”, Avtomat. i Telemekh., 2000, no. 6, 91–103; Autom. Remote Control, 61:6 (2000), 973–984
1997
3.
V. A. Ivnitskii, “Short communication:on the invariance of stationary probabilities of states of a closed star-shaped queueing network with state-dependent transition probabilities”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 179–184; Theory Probab. Appl., 42:1 (1998), 162–167
1992
4.
V. A. Ivnitskii, “The Invariance of the Steady State Distribution of a Multichannel Queueing System Serving a Finite Number of Different Sources of Customers under the Absolute Priority of an Arriving Customer”, Teor. Veroyatnost. i Primenen., 37:2 (1992), 407–410; Theory Probab. Appl., 37:2 (1993), 376–379
V. A. Ivnitzkii, “On a Condition of the Invariance of Stationary Probabilities of States for Networks of Sequential Queuing Systems”, Teor. Veroyatnost. i Primenen., 34:3 (1989), 576–580; Theory Probab. Appl., 34:3 (1989), 519–523
V. A. Ivnitskii, Ya. L. Shraiberg, “Analytical study of open-loop multi-center service systems with a recurrent input flow and limited bunkers”, Avtomat. i Telemekh., 1984, no. 3, 87–96; Autom. Remote Control, 45:3 (1984), 351–358
1982
7.
V. A. Ivnickiĭ, “On the condition for the invariance of the stationary probabilities for queueing networks”, Teor. Veroyatnost. i Primenen., 27:1 (1982), 188–192; Theory Probab. Appl., 27:1 (1982), 196–201
V. A. Ivnitskii, Ya. L. Shraiberg, “Open Network with Two Service Centers and Recursive Input Stream”, Probl. Peredachi Inf., 15:4 (1979), 88–95; Problems Inform. Transmission, 15:4 (1979), 312–318
1977
9.
V. A. Ivnickiĭ, “On reconstruction of the performance of a $GI|M|1$ system from
observations of the outcoming flow”, Teor. Veroyatnost. i Primenen., 22:1 (1977), 188–191; Theory Probab. Appl., 22:1 (1977), 184–187
V. A. Ivnitskii, A. B. Kasumov, M. N. Ibragimov, “Analysis of a Switching System Subject to Malfunction and Repair of Control Units”, Probl. Peredachi Inf., 10:3 (1974), 104–113; Problems Inform. Transmission, 10:3 (1974), 266–272
1969
11.
V. A. Ivnitskii, “Asymptotic Investigation of Stationary State Probability Distribution for One Class of Single-Line Queueing Systems (Without Memory)”, Probl. Peredachi Inf., 5:3 (1969), 88–95; Problems Inform. Transmission, 5:3 (1969), 64–71