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Describe the following queuing systems given in Kendall’s notation. Make sure to identify the inter arrival...

Describe the following queuing systems given in Kendall’s notation. Make sure to identify the inter arrival time distribution, service time distribution, number of servers, number of buffers (system capacity), population size and, service discipline for each queuing system.

A. M/D/5/40/200/FCFS

B. M/M/1

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Answer #1

A. M/D/5/40/200/FCFS

The first letter M stands for Poisson distributed inter-arrival time, second letter D stands for deterministic service time, third numeral 5 stands for 5 servers. At fourth place, 40 stands for maximum service+queue length, i.e. maximum number of jobs that can be there (waiting and in service). At fifth place, 200 stands for population size. and lastly FCFS tells the queue discipline (First Come First Serve - the jobs are serviced in the other that they arrive).

B. M/M/1

The first letter M stands for Poisson distributed inter-arrival time, second letter M stands for Exponentially distributed service time and third numeral 1 stands for single server. The next three spaces are not specified, which means unlimited queue length and FCFS queue discipline.

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