On the M(n)/M(n)/s queue with impatient calls
Performance Evaluation
Sojourn Times in the M/PH/1 Processor Sharing Queue
Queueing Systems: Theory and Applications
The impact of reneging in processor sharing queues
SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems
Modeling of an online TV recording service
ACM SIGMETRICS Performance Evaluation Review
Sojourn time distribution in a MAP/M/1 processor-sharing queue
Operations Research Letters
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In this paper we analytically derive the sojourn time of a user accessing an online IPTV recording service. Basically, the system consists of a server (or server farm) and the bandwidth at which a user can download recorded files depends on the number of other concurrently downloading users. In particular, we consider both cases, one in which the user's download speed is limited by his own access bandwidth, whereas in the other case the server is the bottleneck and all downloading users share the server's upload capacity. Our model includes user impatience which depends on the actual download speed. A user may abort his download attempt if a threshold duration is exceeded. The file size distribution is obtained by measurements of offered files at an existing server.