System Simulation

Problem Statements of A Division

1        A computer has two processors (multi core/processor).  NORM_PRIORITY threads arrive at a rate of one every 8 ± 2 sec to use the processor.  They can be interrupted by MAX_PRIORITY threads, which arrives at a rate of one every 12 ± 2 sec.  There is one systems call which can interrupt anyone, but NORM_PRIORITY threads are interrupted before MAX_PRIORITY threads.  The systems call takes 6 ± 4 sec on the processor and arrives at 20 ± 5 sec. NORM_PRIORITY threads and MAX_PRIORITY threads uses 4 ± 2 sec the processor. If a process is interrupted, that process joins the head of the queue and resumes service as soon as possible. Simulate for a day (assume the working hours of the computer) MAX_PRIORITY threads or systems call.  Estimate the interruption rate per hour, and the mean length of the waiting line of NORM_PRIORITY.

2        Two types of processes arrive at the machine.  Type 1 processes arrive every 50 ± 30 seconds and required 30 ± 20 seconds for processing.  Type 2 processes arrive every 100 ± 40 seconds and required 20 ± 15 seconds for processing.  Based on an 8 hour simulation what is the average number of jobs waiting to be processed?

3        The arrival rate of processes at the single core processor follows normal distribution and the service time also follows normal distribution.  The arrival rate and the service rate are (25,4) processes and (35,5) processes respectively.  Find the following :         

a)      Utilization of the processor.

b)      Average number of waiting processes in the queue.

c)      Average number of waiting processes in the system.

d)      Average waiting time per processes in the queue.

e)      Average waiting time per process in the system.