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UID:956@lincs.fr
DTSTART;TZID=Europe/Paris:20260917T140000
DTEND;TZID=Europe/Paris:20260917T150000
DTSTAMP:20260908T071534Z
URL:https://www.lincs.fr/events/the-multiserver-job-stochastic-recurrence-
 equation-for-cloud-computing-performance-evaluation/
SUMMARY:The Multiserver-Job Stochastic Recurrence Equation for Cloud
 Computing Performance Evaluation
DESCRIPTION:We study the Multiserver-Job Queuing Model (MJQM) with general
 independent arrivals and service times under FCFS scheduling\, using
 stochastic recurrence equations (SREs) and ergodic theory. We prove the
 monotonicity and separability properties of the MJQM SRE\, enabling the
 application of the monotone-separable extension of Loynes' theorem and the
 formal definition of the MJQM stability condition. Based on these results\,
 we introduce and implement two algorithms: one for drawing sub-perfect
 samples (SPS) of the system's workload and the second one to estimate the
 system's stability condition given the statistics of the jobs' input
 stream. The SPS algorithm allows for a massive GPU parallelization\,
 greatly improving the efficiency of performance metrics evaluation. We also
 show that this approach extends to more complex systems\, including MJQMs
 with typed resources.\n\nJoint work with D. Olliaro\, M. Ajmone-Marsan and
 A. Marin.
CATEGORIES:Seminars
LOCATION:Amphi 3\, 19 Place Marguerite Perey\, Palaiseau\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=19 Place Marguerite Perey\,
 Palaiseau\, France;X-APPLE-RADIUS=100;X-TITLE=Amphi 3:geo:0,0
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TZID:Europe/Paris
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DTSTART:20260329T030000
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