Recently some stochastic (probabilistic) extensions of the deterministic network calculus have been developed, mainly for exploiting the statistical multiplexing of flows aggregated in packet based communication networks. This exploitation could result ”better” stochastic performance bounds than those bounds provided by the inherently worst case analysis of the deterministic network calculus. T...

Objective: The aim of this study is to model arrival process of informed and uninformed traders into Tehran Stock Exchange (TSE) as well as to assess the interaction between two types of traders which is an important yet neglected topic. Methods: In this study, a sequential trade model was estimated based on trading data of 33 stocks belonging to 11 industries of TSE during the period from 201...

Loss is an important parameter of Quality of Service (QoS). Though stochastic network calculus is a very useful tool for performance evaluation of computer networks, existing studies on stochastic service guarantees mainly focused on the delay and backlog. Some efforts have been made to analyse loss by deterministic network calculus, but there are few results to extend stochastic network calcul...

The bandwidth available in a high-speed backbone network today is much greater than the capacity at the edge devices. As an example, when the transmission line rate is 10 Gbps, the end computing machine (end-system) may not be able to cope with the arriving data rate and is hence often a bottleneck for the data transfer. This performance bottleneck depends on the end-system workload. A key defi...

We consider a single-server queue with renewal arrivals and i.i.d. service times in which the server uses the shortest remaining processing time policy. To describe the evolution of this queue, we use a measure-valued process that keeps track of the residual service times of all buffered jobs. We propose a fluid model (or formal law of large numbers approximation) for this system and, under mil...

background and aims: this study aimed to investigate the deaths and injuries following pedestrian traffic accidents and factors associated with death of pedestrian in tehran and alborz provinces. methods: in this cross-sectional study all traffic accidents related to pedestrians in tehran and alborz provinces reported from march 21, 2013 to march 21, 2014 by the traffic police were studied. the...

Suppose that in a stationary M/M/c queueing system with arrival rate and service rate , customers may be lost via either balking with probability $ or reneging at rate. All of , and the loss parameter $ or as applicable are unknown and are to be estimated from transactional data (i.e. the set of service initiation and service completion epochs) observed on a (long) time interval of length T. Th...

We study G/G/∞ queues with renewal alternating service interruptions, where the service station experiences up and down periods. The system operates normally in the up periods, and all servers stop functioning while customers continue entering the system during the down periods. The amount of service a customer has received when an interruption occurs will be conserved and the service will resu...