Preprint Case Report Version 1 Preserved in Portico This version is not peer-reviewed

A Case on Queue-Systems Analytical and Simulation Solutions By SAN Formalism

Version 1 : Received: 14 March 2021 / Approved: 16 March 2021 / Online: 16 March 2021 (14:58:52 CET)

How to cite: Besharati, M.R.; Izadi, M. A Case on Queue-Systems Analytical and Simulation Solutions By SAN Formalism. Preprints 2021, 2021030430. https://doi.org/10.20944/preprints202103.0430.v1 Besharati, M.R.; Izadi, M. A Case on Queue-Systems Analytical and Simulation Solutions By SAN Formalism. Preprints 2021, 2021030430. https://doi.org/10.20944/preprints202103.0430.v1

Abstract

There is a case about a system comprising two queues of M/M(a)/1/K with a due date with FCFS service policy in each queue. Using the methods of simulation and mathematical analysis, the solution diagrams were illustrated for the fixed due date Ɵ=1 second at the phase of due date up to the commencement of the service, limited capacity K1=5 and K2=4, for both scenarios of different service management rate resulted. For the analytical solution, first, a SAN model from the system was created in the Mobius tool. For simulation, a java discrete systems simulation code was used. Adjustment of the initial values, selection of the scenarios for service rate, the number of the consumers in the simulation, etc. were all carried out in the simulation code.

Keywords

Queue-Systems; SAN model; Mobius tool; Simulation

Subject

Computer Science and Mathematics, Algebra and Number Theory

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