Abstract
An asymmetric polling system with single-message buffers is considered. Each message consists of multiple packets and only one packet is transmitted when polled. For a symmetric system with constant length of a packet and switchover time, the average performance measures, including the average message delay, have been explicitly derived in the recent paper [Taka87c]. The main result of this paper is the exact derivation of the average message delay for an asymmetric system, where transmission time of a packet and switchover time are assumed to be distributed according to general probability distribution functions which are different among stations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O.C. Ibe and X. Cheng, “Analysis of Polling Systems with Single-Message Buffers,” Proceedings of IEEE GLOBECOM ‘86, pp.939–943, Houston, TX, 1986.
A.R. Kaye, “Analysis of a Distributed Control Loop for Data Transmission,” Proceedings of 22nd International Symposium on Computer-Communication Networks and Teletraffic, pp.47–58, Polytechnic Institute of Brooklyn, NY, 1972.
C. Mack, T. Murphy and N.L. Webb, “The Efficiency of N Machines Uni-Directionally Patrolled by One Operative when Walking Time and Repair Times are Constant,” Journal of the Royal Statistical Society, Series B, Vol.19, No.1, pp.166–172, 1957.
C. Mack, “The Efficiency of N Machines Uni-Directionally Patrolled by One Operative when Walking Time and Repair Times are Variable,” Journal of the Royal Statistical Society, Series B, Vol.19, No.1, pp. 173–178, 1957.
H. Takagi, “On the Analysis of a Symmetric Polling System with Single-Message Buffers,” Performance Evaluation, Vol.5, No.3, pp. 149–157, 1985.
H. Takagi, Analysis of Polling Systems, The MIT Press, Cambridge, MA, 1986.
H. Takagi, “Analysis and Applications of a Multiqueue Cyclic Service System with Feedback,” IEEE Transactions on Communications, Vol.COM-35, No.2, pp.248–250, 1987.
H. Takagi, “A Survey of Queueing Analysis of Polling Models,” Proceedings of 3rd International Conference on Data Communication Systems and Their Performance, pp.277–296, Rio de Janeiro, Brazil, 1987.
H. Takagi, “Exact Analysis of Round-Robin Scheduling of Services,” IBM Journal of Research and Development, Vol. 31, No. 4, pp.484–488, 1987.
T. Takine, Y. Takahashi and T. Hasegawa, “Performance Analysis of a Polling System with Single Buffers and Its Application to Interconnected Networks,” IEEE Journal on Selected Areas in Communications, Vol.SAC-4, No.6, pp.802–812, 1986.
T. Takine, Y. Takahashi and T. Hasegawa, “Analysis of an Asymmetric Polling System with Single Buffers,” Performance ‘87, P.-J. Courtois and G. Latouche (eds.), pp.241–251, North-Holland, Amsterdam, 1988.
T. Takine, Y. Takahashi and T. Hasegawa, “Exact Analysis of Asymmetric Polling Systems with Single Buffers,” IEEE Transactions on Communications, Vol.COM-36, No.10, pp.1119–1127, 1988.
R.M. Wu and Y-B. Chen, “Analysis of a Loop Transmission System with Round-Robin Scheduling of Services,” IBM Journal of Research and Development, Vol.19, No.5, pp.486–493, 1975.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
Takine, T., Takahashi, Y., Hasegawa, T. (1989). Average Message Delay of an Asymmetric Single-Buffer Polling System with Round-Robin Scheduling of Services. In: Puigjaner, R., Potier, D. (eds) Modeling Techniques and Tools for Computer Performance Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0533-0_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0533-0_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-7853-5
Online ISBN: 978-1-4613-0533-0
eBook Packages: Springer Book Archive