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Modeling the Process of Dynamic Resource Sharing Between LTE and NB-IoT Services Read chapter Read first chapter

2017 | Supplement | Chapter

Performance Modeling of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server Using MOSEL

Authors : Tamás Bérczes, János Sztrik, Ádám Tóth, Anatoly Nazarov

Published in: Distributed Computer and Communication Networks

Publisher: Springer International Publishing

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Abstract

In this paper we investigate a single-server retrial queueing system with collision of the customer and an unreliable server. If a customer finds the server idle, he enters into service immediately. The service times are independent exponentially distributed random variables. During the service time the source cannot generate a new primary call. Otherwise, if the server is busy, an arriving (primary or repeated) customer involves into collision with customer under service and they both moves into the orbit. The retrial time of requests are exponentially distributed. We assume that the server is unreliable and could be break down. When the server is interrupted, the call being served just before server interruption goes to the orbit. Our interest is to give the main steady-state performance measures of the system computed by the help of the MOSEL tool. Several Figures illustrate the effect of input parameters on the mean response time.

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previous chapter Optimal Method for Uplink Transfer of Power and the Design of High-Voltage Cable for Tethered High-Altitude Unmanned Telecommunication Platforms
next chapter Estimation of High-Speed Performance of the Transport Protocol with the Mechanism of Forward Error Correction
Literature
1.
Artalejo, J.R., Gómez-Corral, A.: Retrial queueing systems. A computational approach. Springer, Berlin (2008). p. xiii + 318. ISBN 978-3-540-78724-2/hbk;978-3-642-09748-5/pbk; 978-3-540-78725-9/ebook
2.
3.
4.
Almási, B., Roszik, J., Sztrik, J.: Homogeneous finite-source retrial queues with server subject to breakdowns and repairs. Math. Comput. Model. 42(5–6), 673–682 (2005)MathSciNetCrossRefMATH
5.
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.
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
7.
Roszik, J.: Homogeneous finite-source retrial queues with server and sources subject to breakdowns and repairs. Ann. Univ. Sci. Bp. Sect. Comput. 23, 213–227 (2004). Rolando EötvösMathSciNetMATH
8.
Wang, J., Zhao, L., Zhang, F.: Performance analysis of the finite source retrial queue with server breakdowns and repairs. In: Proceedings of the 5th International Conference on Queueing Theory and Network Applications, pp. 169–176. ACM (2010)
9.
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
10.
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
11.
Ali, A.-A., Wei, S.: Modeling of coupled collision and congestion in finite source wireless access systems. In: Wireless Communications and Networking Conference (WCNC), pp. 1113–1118. IEEE (2015)
12.
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
13.
Choi, B.D., Shin, Y.W., Ahn, W.C.: Retrial queues with collision arising from unslotted CSMA/CD protocol. Queueing Syst. 11(4), 335–356 (1992)CrossRefMATH
14.
Gómez-Corral, A.: On the applicability of the number of collisions in p-persistent CSMA/CD protocols. Comput. Oper. Res. 37(7), 1199–1211 (2010)MathSciNetCrossRefMATH
15.
16.
Begain, K., Bolch, G., Herold, H.: Practical Performance Modeling, Application of the MOSEL Language. Kluwer Academic Publisher, Boston (2001)CrossRef
17.
Bolch, G., Greiner, S., de Meer, H., Trivedi, K.: Queueing Networks and Markov Chains, 2nd edn. Wiley, Amsterdam (2006). ISBN 0-471-56525-3CrossRefMATH
18.
Wüchner, P., Sztrik, J., de Meer, H.: Modeling wireless sensor networks using finite-source retrial queues with unreliable orbit. In: Hummel, K.A., Hlavacs, H., Gansterer, W. (eds.) PERFORM 2010. LNCS, vol. 6821, pp. 73–86. Springer, Heidelberg (2011). doi:10.​1007/​978-3-642-25575-5_​7 CrossRef
Metadata
Title
Performance Modeling of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server Using MOSEL
Authors
Tamás Bérczes
János Sztrik
Ádám Tóth
Anatoly Nazarov
Copyright Year
2017
Book
Distributed Computer and Communication Networks

Print ISBN: 978-3-319-66835-2

Electronic ISBN: 978-3-319-66836-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-66836-9_21

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