MatlaB simulation, of single server queue and multi-channel server and inventory system

Consider a computer technical support center where personnel take calls and provide

service. The time between calls ranges from 1 to 4 minutes, with distribution as shown

in table 1.1. There are two technical support people – Able and Baker. Able is more

experienced and can provide service faster than Baker. The distribution of their service

times are shown in table 1.2 and 1.3.

Rule: “Able gets the call if both technical support people are idle”. The problem is to

estimate the system measures of performance in terms of:

1) The efficiency of Able.

2) The efficiency of Baker

3) The average caller delay.

Please answer the following question:

4) Do we need extra server? Why?

In case that Able is alone (without Baker), Compute the following terms:

1- The average service time.

2- The average waiting time (in the queue).

3- The maximum queue length.

4- The probability that a customer wait in the queue.

5- The portion of idle time of the server.

Moreover, you need to get some answers (with justification) for the following questions:

6- Does the theoretical average service time match with the experimental one?

7- Does the theoretical average interarrival time match with the experimental one?