On the necessity of transient performance analysis in telecommunication networks

Time to Buffer Overflow in an MMPP Queue

“…In this paper we deal with the time to buffer overflow, an informative performance characteristic for buffering processes in network elements (see [2] for a deeper discussion). As the distribution of the time to overflow heavily depends on the autocorrelation structure of the traffic, it is very important to use a model that is able to mimic that structure properly.…”

Transient analysis of RED queues: A quantitative analysis of buffer-occupancy fluctuations and relevant time-scales

“…The use of transient analysis of telecommunication systems has become increasingly important, since steady-state parameters frequently are not able to describe the system's observable behavior in particular in the presence of strong correlation in the traffic patterns [26]. Furthermore, transient analysis is better suitable to characterize the impact of singular events, e.g., hand-over events in mobile networks, which are used later on in Section 4 to illustrate the results of this paper.…”

“…Furthermore, transient analysis is better suitable to characterize the impact of singular events, e.g., hand-over events in mobile networks, which are used later on in Section 4 to illustrate the results of this paper. Transient analysis has been previously performed for queuing models with first-in-first-out scheduling with different traffic models in [26,17,24,27,1].…”

Busy period, time of the first loss of a customer and the number of customers in $ M^{\varkappa}|G^δ|1|B$

“…However, recently it was shown that steady-state parameters do not reflect the reality. A detailed discussion of the drawbacks of steady-state parameters in telecommunication networks may be found in [48]. This remark emphasizes importance of studying main performance measures in transient regime, which is the topic of this article.…”