Standard queuing theory describes only the long-term behavior of a queue. The passenger arrivals at the airport immigration fluctuate significantly during the day. The standard queuing theory cannot be used in this case for predicting the queue lengths. Instead time-dependent queuing approaches need to be applied. The queues and arrivals at the incoming immigration of Narita airport were observ...

We consider packet networks and make use of the “adversarial queuing theory” model [10]. We are interested in the question of guaranteeing that all packets are actually delivered to destination, and of having an upper bound on the delivery times of all packets. Whether this is possible against all adversarial queuing theory rate-1 adversaries was previously posed as an open question [13, 10]. A...

In this paper, analysis and simulation of Media Gateway Controller (MEGACO) based COPS (Common Open Policy Server) which is a protocol defined in IETF (Internet Engineering Task Force) to transport configuration requests and deliver the policies is presented. For this scenario, three queuing models include M/M/1, M/M/c and M/D/c were applied . Then, some of the key performance benchmarks look l...

In this paper, analysis and simulation of Media Gateway Controller (MEGACO) based COPS (Common Open Policy Server) which is a protocol defined in IETF (Internet Engineering Task Force) to transport configuration requests and deliver the policies is presented. For this scenario, three queuing models include M/M/1, M/M/c and M/D/c were applied . Then, some of the key performance benchmarks look l...

In this chapter, the main principles of the theory of fractals and multifractals are stated. A singularity spectrum is introduced for the random telecommunication traffic, concepts of fractal dimensions and scaling functions, and methods used in their determination by means of Wavelet Transform Modulus Maxima (WTMM) are proposed. Algorithm development methods for estimating multifractal spectru...

In data networking and queuing theory, network congestion occurs when a link or node is carrying so much data that its quality of service deteriorates. Typical effects include queuing delay, packet loss or the blocking of new connections. A consequence of these latter two is that incremental increases in offered load lead either only to small increases in network throughput, or to an actual red...

Motivated by a real failure dataset in two-dimensional context, this paper presents an extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one-dimensional MMPP has been proposed for modeling dependent and non-exponential inter-failure times (in contexts as queuing, risk or reliability, among others). novel allows dependence between sequences times, while at same time...

Queuing theory strives to provide analytical solutions to a number of queuing problems. Unfortunately, closed analytical expressions can not be derived for every type of queuing system. Discrete event simulation on the other hand can find solutions to any kind of queuing problem, but the results are stochastic and only specific to a single parameterization. Proxel simulation can bridge the gap ...