By Sofiane Ouazine, Karim Abbas (auth.), Alexander Dudin, Koen De Turck (eds.)
This ebook constitutes the refereed complaints of the 20 th overseas convention on Analytical and Stochastic Modelling and purposes, ASMTA 2013, held in Ghent, Belgium, in July 2013. The 32 papers awarded have been rigorously reviewed and chosen from quite a few submissions. the focal point of the papers is at the following software subject matters: complicated structures; laptop and data platforms; verbal exchange platforms and networks; instant and cellular platforms and networks; peer-to-peer program and providers; embedded platforms and sensor networks; workload modelling and characterization; highway site visitors and transportation; social networks; measurements and hybrid strategies; modeling of virtualization; energy-aware optimization; stochastic modeling for platforms biology; biologically encouraged community design.
Read Online or Download Analytical and Stochastic Modeling Techniques and Applications: 20th International Conference, ASMTA 2013, Ghent, Belgium, July 8-10, 2013. Proceedings PDF
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Extra info for Analytical and Stochastic Modeling Techniques and Applications: 20th International Conference, ASMTA 2013, Ghent, Belgium, July 8-10, 2013. Proceedings
9. On-demand production system: expectation of the number of jobs at the stations vs. 1, sim. 3, sim. 5, sim. 2, sim. 4, sim. 6, sim. 10 5 0 500 0 100 200 300 400 500 Fig. 10. On-demand production system: variance of the number of jobs at the stations vs. 1, sim. 2, sim. 3, sim. 4, sim. 5, sim. 6, sim. 2 0 0 0 100 200 300 400 500 0 100 200 300 400 500 Fig. 11. On-demand production system: probability of empty queue at the stations vs. time 6 Conclusions In this paper we applied an approximate transient analysis technique for networks of queues.
In Section 5, the stability of our solution is assessed. Sections 6 and 7 demonstrate some areas where our approach may be applied and present the respective numerical results. Finally, conclusions are given in Section 8. 2 Model Description We consider a discrete-time communication system where users request some resource before initiating their data transmission. System time is divided into equal slots. In a particular slot, a user may send its request into the system. Depending on the current system state, this request may either be accepted or rejected.
Conclusions are drawn in Section 6. 2 Considered Class of Queueing Networks We consider an open network of M queues. , each buffer is either finite or infinite. Clients that arrive to a full buffer are lost. The ith queue of the network receives jobs (clients) entering from outside according to a Poisson-process with intensity λi . , M } and the probability that a client leaving queue i exits the system is denoted by ri0 = 1 − M j=1 rij . Service times are exponential and can depend on the length of the local queue.
Analytical and Stochastic Modeling Techniques and Applications: 20th International Conference, ASMTA 2013, Ghent, Belgium, July 8-10, 2013. Proceedings by Sofiane Ouazine, Karim Abbas (auth.), Alexander Dudin, Koen De Turck (eds.)