Question

Clients arrive to a certain bank according to a Poisson Process. There is a single bank teller in the bank and serving to the clients. In that MIM/1 queieing system; clients arrive with A rate 8 clients per minute. The bank teller serves them with rate u 10 clients per minute. Simulate this queing system for 10, 100, 500, 1000 and 2000 clients. Find the mean waiting time in the queue and mean waiting time in the system for the given number of clients; 10, 100, 500, 1000 and 2000. Remark: In Poisson Process, interarrival times between the clients follow exponential distribution with rate λ and service time distribution also follows the exponential . Exponentially distributed random numbers for inter arrival times of distribution with clients and the service times can be generated from uniform random distribution by using the following relation: 1oge (1-u) where u is uniformly distributed random variable between 0 and 1- t t is exponentially distributed random variable with rate A. Similarly, service times can be generated with the same equation when rate is used instead of A

I need matlab code for solving this problem

Answer 1

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Ls i-s 0.8 -0.8 0-2 ls 솔 8 Go fo 冫 30-6 24 sec.