Convergence Bounds for Limited Processor Sharing Queue with Impatience for Analyzing Non-Stationary File Transfer in Wireless Network

The data transmission in wireless networks is usually analyzed under the assumption of non-stationary rates. Nevertheless, they strictly depend on time day, that is, intensity arrival and daily workload profiles confirm this fact. In article, we consider process downloading a file within single network segment unsteady speeds—for arrivals, sizes, losses due to impatience. To simulate scenario, queuing system with elastic traffic used. Formulas are given for main characteristics model: probability blocking new user, average number users service, queue. A method calculating boundaries convergence model proposed, which based logarithmic norm linear operators. rate limiting queue length were also established. For clarity influence parameters, numerical analysis was carried out presented.