Abstract
A Split–Merge multiserver model of a Desktop Grid computing system is studied. Heavy-tailed distributions are used for service times of tasks in a system, including the Pareto distribution, which allows one to obtain some analytical results. The effects of replication and quorum parameters on the key performance measures such as response time and cost of a Desktop Grid system are studied both analytically and through simulation under a variety of scenarios for system configuration and system load. Moment properties of the workload vector, which not only highlight possible heterogeneity but also play a key role in practical applications, are derived.
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Acknowledgements
The study was carried out under state order to the Karelian Research Centre of the Russian Academy of Sciences (Institute of Applied Mathematical Research KRC RAS). This research is partially supported by RF President’s grant MK-1641.2017.1 and RFBR, projects 16-07-00622, 18-07-00147, 18-07-00156, 18-37-00094.
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Rumyantsev, A., Chakravarthy, S., Morozov, E., Remnev, S. (2018). Cost and Effect of Replication and Quorum in Desktop Grid Computing. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM WRQ 2018 2018. Communications in Computer and Information Science, vol 912. Springer, Cham. https://doi.org/10.1007/978-3-319-97595-5_12
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