Question

Problem :

Five batch jobs A through E, arrive at a computer center at almost the same time. They have estimated running times 10, 6, 2, 4, and 8 minutes. Their (externally determined) priorities are 3, 5, 2, 1, and 4, respectively, with 5 being the highest priority. Determine the mean process turn around time. Ignore process switching overhead. For Round Robin Scheduling, assume that the system is multiprogramming, and that each job gets it fair share of the CPU.All jobs are completely CPU bound.

Solution #1 The following solution comes from this page :

For round robin, during the first 10 minutes, each job gets 1/5 of the CPU. At the end of the 10 minutes, C finishes. During the next 8 minutes, each job gets 1/4 of the CPU, after which time D finishes. Then each of the three remaining jobs get 1/3 of the CPU for 6 minutes, until B finishes and so on. The finishing times for the five jobs are 10, 18, 24. 28, 30, for an average of 22 minutes.

Solution #2 the following solution comes from Cornell University here, which is different (and this one makes more sense to me) :

Remember that the turnaround time is the amount of time that elapses between the job arriving and the job completing. Since we assume that all jobs arrive at time 0, the turnaround time will simply be the time that they complete. (a) Round Robin: The table below gives a break down of which jobs will be processed during each time quantum. A * indicates that the job completes during that quantum.

1 2 3 4 5  6 7 8  9 10  11 12 13 14  15 16 17 18  19 20 21  22 23 24  25 26  27 28  29 30  
A B C D E  A B C* D E   A  B  D  E   A  B  D* E   A  B  E   A  B* E   A  E   A  E*  A  A*

The results are different: In the first one C finishes after 10 minutes, for example, whereas in the second one C finishes after 8 minutes.

Which one is the correct one and why? I'm confused.. Thanks in advance!

Was it helpful?

Solution

Q1: I believe that the "fair share" requirement means you can assume the time is evenly divided amongst running processes, and thus the particular order won't matter. You could also think of this as the quantum being so low that any variation introduced by a particular ordering is too small to worry about.

Q2: From the above, assuming the time is evenly divided, it will take 10 minutes for all processes to get 2 minutes of their own, at which point C will be done.

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