Can someone with MATLAB knowledge please help with the following question. The q

Question

Can someone with MATLAB knowledge please help with the following question. The question also asks for the DE with initial conditons. Thank you.

3. [15 marks Consider the tax-help service in Lab Exercises 11 with the same intensity function (t). Suppose that in order to offer a better service, two more operators are employed, making a total of 3 servers each having exponential service time distribution with rate 7 calls per hour. Suppose the service can have one call on hold, and if this is taken, an arriving call is lost (so there is a maximum of 4 calls in the system). Let Pn (t) be the probability that there are n calls in the system at time t and assume the system is empty at time t = 0 (a) Write down the differential equations and initial conditions satisfied by Pn (t) (b) Create a function M-file for the new problem and, as in Lab Exercises 11, run the program to compute and plot the probabilities Pn (t) together with the scaled intensity function against t. Label each of the graphs (c) Write down an expression for the probability P* (t) that a customer does not have to wait for service at time t. Extend your program in part (b) to compute and plot P* (t) against t.

Explanation / Answer

While running a Simulink model the error message appeared:"Derivative input 1 of 'md_3/Subsystem/Integrator1' at time 1.00003 is Inf or NaN. Stopping simulation. There may be a singularity in the solution. If not, try reducing the step size

Try these steps :-

1. In simulation-->configuration parameters-->solver-->select "Non-adaptive". Then try simulating. If not successful go to step-2.

2. simulation-->configuration parameters-->solver-->increase the value "relative tolerance" & "absolute tolerance" in the range of 1e-4 to 1e-6. Then try simulating.

Please let me know if it worked.

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