Bounding availability of repairable computer systems
SIGMETRICS '89 Proceedings of the 1989 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Two-server queue with one server idle below a threshold
Queueing Systems: Theory and Applications
Computer and communication systems performance modelling
Computer and communication systems performance modelling
Staggered striping in multimedia information systems
SIGMOD '94 Proceedings of the 1994 ACM SIGMOD international conference on Management of data
Multi-server threshold queues with hysteresis
Performance Evaluation
DASD dancing: a disk load balancing optimization scheme for video-on-demand computer systems
Proceedings of the 1995 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Bounding of performance measures for a threshold-based queueing system with hysteresis
SIGMETRICS '97 Proceedings of the 1997 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Design and implementation of scalable continuous media servers
Parallel Computing - Special issues on applications: parallel data servers and applications
Performance analysis of the RIO multimedia storage system with heterogeneous disk configurations
MULTIMEDIA '98 Proceedings of the sixth ACM international conference on Multimedia
Stochastic complement analysis of multi-server threshold queues with hysteresis
Performance Evaluation
Threshold-Based Dynamic Replication in Large-ScaleVideo-on-Demand Systems
Multimedia Tools and Applications
IEEE Transactions on Computers
Threshold-Based Dynamic Replication in Large-Scale Video-on-Demand Systems
RIDE '98 Proceedings of the Workshop on Research Issues in Database Engineering
Striping Doesn't Scale: How to Achieve Scalability for Continuous Media Servers with Replication
ICDCS '00 Proceedings of the The 20th International Conference on Distributed Computing Systems ( ICDCS 2000)
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Multiclass Multiserver Threshold-Based Systems: A Study of Noninstantaneous Server Activation
IEEE Transactions on Parallel and Distributed Systems
Efficient algorithms of video replication and placement on a cluster of streaming servers
Journal of Network and Computer Applications
Performance analysis of distributed video-on-demand (VoD) systems
International Journal of Information and Communication Technology
Performance analysis of server sharing collectives for content distribution
IWQoS'03 Proceedings of the 11th international conference on Quality of service
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In this paper, we consider a K-server threshold-based queuing system with hysteresis in which the number of active servers is governed by a forward threshold vector and a reverse threshold vector. There are many applications where a threshold-based queuing system can be of great use. The main motivation for using a threshold-based approach in such applications is that they incur significant server setup, usage, and removal costs. As in most practical situations, an important concern is not only the system performance, but rather its cost/performance ratio. The motivation for use of hysteresis is to control the cost during momentary fluctuations in workload. An important and distinguishing characteristic of our work is that, in our model, we consider the time to add a server to be nonnegligible. This is a more accurate model, for many applications, than previously considered in other works. Our goal in this work is to develop an efficient method for computing the steady state probabilities of a multiserver threshold-based queuing system with hysteresis, which will, in turn, allow computation of various performance measures. We also illustrate how to apply this methodology in evaluation of the performance of a Video-on-Demand (VOD) storage server which dynamically manages its I/O resources.