Found 59 Documents (Results 1–59)
Account of disasters in analysis of queueing systems modeled by the quasi-birth-and-death-process. (English) Zbl 1533.60145
Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 21st international conference, ITMM 2022, Karshi, Uzbekistan, October 25–29, 2022. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1803, 92-105 (2023).
Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters. (English) Zbl 07706315
MSC:
62-XX
Analysis of a multiple dual-stage vacation queueing system with disaster and repairable server. (English) Zbl 1509.90060
Time-dependent analytical and computational study of an M/M/1 queue with disaster failure and multiple working vacations. (English) Zbl 1497.90070
Chadli, Ouayl (ed.) et al., Mathematical analysis and applications, MAA 2020. Selected papers based on the presentations at the conference, Jamshedpur, India, November 2–4, 2020. Singapore: Springer. Springer Proc. Math. Stat. 381, 293-304 (2021).
Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes. (English) Zbl 07530972
MSC:
62-XX
Bounds on the rate of convergence for Markovian queuing models with catastrophes. (English) Zbl 1482.60122
On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs. (English) Zbl 1476.60130
A queueing system with batch renewal input and negative arrivals. (English) Zbl 1473.60133
Joshua, V. C. (ed.) et al., Applied probability and stochastic processes. Selected papers based on the presentations at the international conference, Kerala, India, January, 7–10 2019. In honour of Prof. Dr. A. Krishnamoorthy. Singapore: Springer. Infosys Sci. Found. Ser., 143-157 (2020).
MSC:
60K25
A renewal generated geometric catastrophe model with discrete-time Markovian arrival process. (English) Zbl 1460.60099
Convergence rate estimates for some models of queuing theory, and their applications. (English) Zbl 1452.90145
Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 333, 41-51 (2020).
Markovian bulk-arrival and bulk-service queues with general state-dependent control. (English) Zbl 1461.60073
Resolvent decomposition theorems and their application in denumerable Markov processes with instantaneous states. (English) Zbl 1469.60242
On the bounds for a two-dimensional birth-death process with catastrophes. (English) Zbl 1515.60294
MSC:
60K25
Transient analysis of an M/M/1 queue with reneging, catastrophes, server failures and repairs. (English) Zbl 1409.90068
A state-dependent queueing system with asymptotic logarithmic distribution. (English) Zbl 1388.60151
Transient behaviour of three-heterogeneous servers queue with system disaster and server repair. (English) Zbl 1393.60111
MSC:
60K25
\(M^X/M/c\) queue with catastrophes and state-dependent control at idle time. (English) Zbl 1391.90189
Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin. (English) Zbl 1383.60067
Truncation bounds for approximations of inhomogeneous continuous-time Markov chains. (English. Russian original) Zbl 1376.60079
Theory Probab. Appl. 61, No. 3, 513-520 (2017); translation from Teor. Veroyatn. Primen. 61, No. 3, 563-569 (2016).
Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers’ impatience. (English) Zbl 1364.60124
Transient analysis of a single server discrete-time queue with system disaster. (English) Zbl 1360.60170
On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions. (English. Russian original) Zbl 1358.60100
Dokl. Math. 94, No. 2, 502-505 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 2, 129-132 (2016).
Decay property of stopped Markovian bulk-arriving queues with \(c\)-servers. (English) Zbl 1357.60101
Reviewer: Hans Daduna (Hamburg)
Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin. (English) Zbl 1347.93007
The \(\mathrm{M}/\mathrm{M}/c\) queue with mass exodus and mass arrivals when empty. (English) Zbl 1334.60202
A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation. (English) Zbl 1329.60302
The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time. (English) Zbl 1270.60102
Strong stability of the embedded Markov chain in an \(GI/M/1\) queue with negative customers. (English) Zbl 1201.90055
Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues. (English) Zbl 1255.90039
Transient analysis of a queue with system disasters and customer impatience. (English) Zbl 1197.60087
Markovian bulk-arrival and bulk-service queues with state-dependent control. (English) Zbl 1186.60094
The Geo/G/1 queue with negative customers and disasters. (English) Zbl 1190.60088
Reviewer: János Sztrik (Debrecen)
Decay property of stopped Markovian bulk-arriving queues. (English) Zbl 1142.60050
Reviewer: Oleg K. Zakusilo (Kyïv)
The batch Markovian arrival process subject to renewal generated geometric catastrophes. (English) Zbl 1125.60093
Transient analysis of a single server queue with catastrophes, failures and repairs. (English) Zbl 1124.60073
Uniqueness and extinction of weighted Markov branching processes. (English) Zbl 1104.60047
Reviewer: Marius Iosifescu (Bucureşti)
Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes. (English) Zbl 1092.90018
Birth and death process (BDP) models with applications – queueing communication systems, chemical models. Biological models: the state-of-the-art with a time-dependent perspective. (English) Zbl 1065.60120
Reviewer: Heinrich Hering (Rockenberg)
BMAP/G/1 queue with correlated arrivals of customers and disasters. (English) Zbl 1054.60096
MSC:
60K25
The discrete-time \(Geo/Geo/1\) queue with negative customers and disasters. (English) Zbl 1107.90330
Analysis of M/G/1 stochastic clearing systems. (English) Zbl 1019.60087
Reviewer: Helmut Wegmann (Darmstadt)
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