Skip to main content

2017 | Supplement | Buchkapitel

Simulation of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server

verfasst von : Ádám Tóth, Tamás Bérczes, János Sztrik, Anna Kvach

Erschienen in: Distributed Computer and Communication Networks

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The aim of the present paper is to build a simulation program to investigate finite-source retrial queuing system with collision of the customers where the server is subject to random breakdowns and repairs depending on whether it is idle or busy. All the random variables involved in the model construction are assumed to be independent and generally distributed. The novelty of the investigation is to carry sensitivity analysis of the performance measures using various distributions. Several figures show the effect of different distributions on the performance measures such as mean and variance of number of customers in the system, mean and variance of response time, mean and variance of time a customer spent in service, mean and variance of sojourn time in the orbit.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Ali, A.A., Wei, S.: Modeling of coupled collision and congestion in finite source wireless access systems. In: 2015 IEEE Wireless Communications and Networking Conference (WCNC), pp. 1113–1118. IEEE (2015) Ali, A.A., Wei, S.: Modeling of coupled collision and congestion in finite source wireless access systems. In: 2015 IEEE Wireless Communications and Networking Conference (WCNC), pp. 1113–1118. IEEE (2015)
2.
Zurück zum Zitat Almási, B., Roszik, J., Sztrik, J.: Homogeneous finite-source retrial queues with server subject to breakdowns and repairs. Math. Comput. Modelling 42(5–6), 673–682 (2005)MathSciNetCrossRefMATH Almási, B., Roszik, J., Sztrik, J.: Homogeneous finite-source retrial queues with server subject to breakdowns and repairs. Math. Comput. Modelling 42(5–6), 673–682 (2005)MathSciNetCrossRefMATH
3.
Zurück zum Zitat Artalejo, J.R., Gómez-Corral, A.: Retrial Queueing Systems. A Computational Approach. Springer, Berlin (2008)CrossRefMATH Artalejo, J.R., Gómez-Corral, A.: Retrial Queueing Systems. A Computational Approach. Springer, Berlin (2008)CrossRefMATH
4.
Zurück zum Zitat Balsamo, S., Rossi, G.-L.D., Marin, A.: Modelling retrial-upon-conflict systems with product-form stochastic petri nets. In: Dudin, A., De Turck, K. (eds.) ASMTA 2013. LNCS, vol. 7984, pp. 52–66. Springer, Heidelberg (2013). doi:10.1007/978-3-642-39408-9_5 CrossRef Balsamo, S., Rossi, G.-L.D., Marin, A.: Modelling retrial-upon-conflict systems with product-form stochastic petri nets. In: Dudin, A., De Turck, K. (eds.) ASMTA 2013. LNCS, vol. 7984, pp. 52–66. Springer, Heidelberg (2013). doi:10.​1007/​978-3-642-39408-9_​5 CrossRef
5.
Zurück zum Zitat Dragieva, V.I.: Number of retrials in a finite source retrial queue with unreliable server. Asia-Pac. J. Oper. Res. 31(2), 23 (2014)MathSciNetCrossRefMATH Dragieva, V.I.: Number of retrials in a finite source retrial queue with unreliable server. Asia-Pac. J. Oper. Res. 31(2), 23 (2014)MathSciNetCrossRefMATH
6.
Zurück zum Zitat Fishwick, P.A.: Simpack: getting started with simulation programming in C and C++. In: J.S. et al. (ed.) WSC 1992 Proceedings of the 24th Conference on Winter Simulation, pp. 154–162. ACM, New York (1992) Fishwick, P.A.: Simpack: getting started with simulation programming in C and C++. In: J.S. et al. (ed.) WSC 1992 Proceedings of the 24th Conference on Winter Simulation, pp. 154–162. ACM, New York (1992)
7.
Zurück zum Zitat Gharbi, N., Dutheillet, C.: An algorithmic approach for analysis of finite-source retrial systems with unreliable servers. Comput. Math. Appl. 62(6), 2535–2546 (2011)MathSciNetCrossRefMATH Gharbi, N., Dutheillet, C.: An algorithmic approach for analysis of finite-source retrial systems with unreliable servers. Comput. Math. Appl. 62(6), 2535–2546 (2011)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Kvach, A., Nazarov, A.: Sojourn time analysis of finite source markov retrial queuing system with collision. In: Dudin, A., Nazarov, A., Yakupov, R. (eds.) ITMM 2015. CCIS, vol. 564, pp. 64–72. Springer, Cham (2015). doi:10.1007/978-3-319-25861-4_6 CrossRef Kvach, A., Nazarov, A.: Sojourn time analysis of finite source markov retrial queuing system with collision. In: Dudin, A., Nazarov, A., Yakupov, R. (eds.) ITMM 2015. CCIS, vol. 564, pp. 64–72. Springer, Cham (2015). doi:10.​1007/​978-3-319-25861-4_​6 CrossRef
11.
Zurück zum Zitat Nazarov, A., Kvach, A., Yampolsky, V.: Asymptotic analysis of closed markov retrial queuing system with collision. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds.) ITMM 2014. CCIS, vol. 487, pp. 334–341. Springer, Cham (2014). doi:10.1007/978-3-319-13671-4_38 Nazarov, A., Kvach, A., Yampolsky, V.: Asymptotic analysis of closed markov retrial queuing system with collision. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds.) ITMM 2014. CCIS, vol. 487, pp. 334–341. Springer, Cham (2014). doi:10.​1007/​978-3-319-13671-4_​38
13.
Zurück zum Zitat Wang, J., Zhao, L., Zhang, F.: Analysis of the finite source retrial queues with server breakdowns and repairs. J. Ind. Manag. Optim. 7(3), 655–676 (2011)MathSciNetCrossRefMATH Wang, J., Zhao, L., Zhang, F.: Analysis of the finite source retrial queues with server breakdowns and repairs. J. Ind. Manag. Optim. 7(3), 655–676 (2011)MathSciNetCrossRefMATH
14.
Zurück zum Zitat Zhang, F., Wang, J.: Performance analysis of the retrial queues with finite number of sources and service interruptions. J. Korean Stat. Soc. 42(1), 117–131 (2013)MathSciNetCrossRefMATH Zhang, F., Wang, J.: Performance analysis of the retrial queues with finite number of sources and service interruptions. J. Korean Stat. Soc. 42(1), 117–131 (2013)MathSciNetCrossRefMATH
Metadaten
Titel
Simulation of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server
verfasst von
Ádám Tóth
Tamás Bérczes
János Sztrik
Anna Kvach
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-66836-9_13