Reliability Analysis of an Unreliable N-Policy Queue Under Bernoulli Vacation Schedule With Two-Service Genres And Optional Repeated Service

被引：0

作者：

Begum, Anjana ^{[1
]}

Choudhury, Gautam ^{[2
,3
]}

Sarma, Hirak Jyoti ^{[2
,3
]}

Kumar, Nitin ^{[4
]}

机构：

[1] Nowgong Girls Coll, Dept Stat, Nagaon 782002, Assam, India

[2] Inst Adv Study Sci & Technol, Math & Computat Sci, Gauhati 781035, Assam, India

[3] Acad Sci & Innovat Res AcSIR, Ghaziabad 201002, Uttar Pradesh, India

[4] Indian Inst Technol, Dept Math, Jammu 181221, India

来源：

INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING | 2025年

关键词：

Bernoulli vacation schedule; breakdown; mean time to first failure; N-policy; reliability function; M/G/1; QUEUE; 2; PHASES; SERVER; SYSTEM; SUBJECT; 5G; BREAKDOWNS; NETWORKS; STATION; REPAIR;

D O I：

10.1142/S0218539325500056

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This research study undertakes a bulk arrival single server queue rendering two-heterogeneous services with optional re-service, under Bernoulli vacation schedule and N-policy subject to a random breakdown of the service station. For this model, Laplace-Stieltjes transform of the system reliability function is obtained using the supplementary variable technique. Further, the performance measure mean time to first failure of the server is derived. Moreover, a detailed numerical investigation of the model is carried out to show the applicability of the model.

引用

页数：26

共 40 条

[1] Analysis of a bulk arrival N-policy queue with two-service genre, breakdown, delayed repair under Bernoulli vacation and repeated service policy
Begum, Anjana
Choudhury, Gautam
RAIRO-OPERATIONS RESEARCH, 2022, 56 (02) : 979 - 1012
[2] An Unreliable Server Retrial Queue with Two Phases of Service and General Retrial Times Under Bernoulli Vacation Schedule
Choudhury, Gautam
Tadj, Lotfi
Deka, Mitali
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2015, 12 (04): : 437 - 464
[3] A batch arrival unreliable server delaying repair queue with two phases of service and Bernoulli vacation under multiple vacation policy
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Deka, Mitali
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2018, 15 (02): : 157 - 186
[4] Analysis of an unreliable repeated service queue with delayed repair under randomized vacation policy
Kalita, Chandi Ram
Choudhury, Gautam
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (21) : 5336 - 5369
[5] A Two-Phase Service System with Bernoulli Vacation Schedule, Setup Time and N-policy for an Unreliable Server with Delaying Repair
Choudhury, Gautam
Tadj, Lotfi
Ke, Jau-Chuan
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2011, 8 (03): : 271 - 284
[6] Analysis of an unreliable N - policy queue with set-up period under Bernoulli schedule and re-service approach
Begum, Anjana
Choudhury, Gautam
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (01) : 1 - 33
[7] A NOTE ON RELIABILITY ANALYSIS OF AN N-POLICY UNRELIABLE MX/(G2G1)/1 QUEUE WITH OPTIONAL REPEATED
Kalita, Chandi Ram
Choudhury, Gautam
RAIRO-OPERATIONS RESEARCH, 2018, 52 (03) : 713 - 724
[8] Steady state analysis of an Mx/G/1 queue with two phase service and Bernoulli vacation schedule under multiple vacation policy
Choudhury, Gautam
Tadj, Lotfi
Paul, Madhuchanda
APPLIED MATHEMATICAL MODELLING, 2007, 31 (06) : 1079 - 1091
[9] A batch arrival retrial queue with two phases of service and Bernoulli vacation schedule
Choudhury, Gautam
Deka, Kandarpa
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (01): : 15 - 34
[10] Analysis of a bulk queue with unreliable server, immediate feedback, N-policy, Bernoulli schedule multiple vacation and stand-by server
Ayyappan, G.
Karpagam, S.
AIN SHAMS ENGINEERING JOURNAL, 2019, 10 (04) : 873 - 880

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