Reference no: EM13625
1. Given the following actual CPU burst for a task, {6, 4, 6, 4, 13, 13, 13}, and an initial "best guess" at the burst as 10, develop a simulation to predict the length of the task's next CPU burst using the following formula. Execute the simulation using an α of 0.1, 0.5, and 0.9. Include in the simulation the calculation of average burst time for each α and its comparison with the "true" average.
τn+1 = αnt + (1 - α)nτ
2. The Poisson function,
P(r) = Cr*e-C/ r! where C = the distribution average, is useful for modeling a distribution when the probability of any one occurrence of P(r) is extremely small and r is the number of occurrences of the event. Applying this average to message volumes and interarrival rates, C = λ * T where λ = message volume and T = interarrival rate, would imply:
r (- λT) P(r) = (λT) * e / r!
Develop a simulation program to accomplish the following:
1) Ask for and accept message volume per hour, Lambda.
2) Convert this volume to message volume per second, Lambda/3600.
3) Ask for and accept the number of simulations desired.
4) Ask for and accept a random number generator seed.
5) Perform the simulation loop to determine and print interarrival times for Lambda where RN is determined by a random number generator function.
6. Compute the average message interarrival time = sum of all interarrival times / count.