In traditional batch-service queueing systems, the mean service time of batches are generally assumed to be constant. However, in numerous applications this assumption may not appropriate. telecommunication networks, transmission rates depend on number packets batch which can framed as batch-size-dependent queue. The objective paper is focus both queue and server content distribution an infinit...

In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and one special skipping policy. Customers arrive in batches but are served by any order. The size of arriving batch becomes known upon its arrival at time instant total number customers is also known. According to adopted policy if batch, which greater than current system, arrives, all currentl...

In smart cities, it is expected that transport, communication as well the movement of people and goods will take place in shortest possible time while maintaining a high level safety. recent years, due to significant increase number passengers vehicles on road capacity limitations transport networks, has become necessary use new technologies for intelligent control traffic management. Intellige...

The objective of the ABR service is to provide data transfer via ATM network with the cell loss ratio as small as possible. In order to achieve this goal many traffic control algorithms are discussed, e.g. EFCI, ERICA, CAPC. This paper presents approximation methods to evaluate the upper bound for the queue size in the switch. For this purpose, we assume the worst case of VBR+CBR traffic in the...

We study the optimal scaling of the expected total queue size in an n×n input-queued switch, as a function of the number of ports n and the load factor ρ, which has been conjectured to be Θ(n/(1−ρ)) (cf. [15]). In a recent work [16], the validity of this conjecture has been established for the regime where 1 − ρ = O(1/n). In this paper, we make further progress in the direction of this conjectu...

Streaming video over the best-effort Internet raises some challenging issues. The available bandwidth and packet transmission delays are often subject to severe changes. As a consequence, a significant ratio of video packets is dropped by network routers because of lack of capacity on congested links. The impacts of video packet drops on the observed quality at the receiver may vary from unnoti...

This paper presents a general solution technique for discrete queueing analysis of multi-media traac on ATM in multiple dimensions, using generating function approach. The queue has multiple deterministic servers with innnite buuer size. Each server represents a time slot on an ATM link for the transmission of one cell. The arrival process is modeled by a number of independent Markov chains and...