Computers often have to deal with scheduling the programs whích are submitted to them by program- mers. Programmers often require computers to finish running programs quickly. Programmers are very unpredictable and submit programs at arbitrary times. Programmers may also submit programs that take different amounts of time to complete. Programmers are being generous for this problem by allowing preemption. That is, the computer is allowed to switch from working on one program to another program while retaining progress. Suppose we have a single-processor computer which can only run one program at a time. Let J be a set of n jobs. Each job has an arrival time A, and a required amount of processing time P,. The computer doesn't know when jobs will arrive, but once the job arrives, it is given the quantity P,. A job is complete once the computer has worked on it for P, units of time. After all the jobs are completed, we will compute a metric to measure how good the scheduling was. Let the completion time of job J; in a given schedule be C;. The average completion time over the set of all jobs is:

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Computers often have to deal with scheduling the programs which are submitted to them by program-
mers. Programmers often require computers to finish running programs quickly. Programmers are very
unpredictable and submit programs at arbitrary times. Programmers may also submit programs that
take different amounts of time to complete.
Programmers are being generous for this problem by allowing preemption. That is, the computer is
allowed to switch from working on one program to another program while retaining progress.
Suppose we have a single-processor computer which can only run one program at a time.
Let J be a set of n jobs. Each job has an arrival time A; and a required amount of processing time P;.
The computer doesn't know when jobs will arrive, but once the job arrives, it is given the quantity P.
A job is complete once the computer has worked on it for P; units of time.
After all the jobs are completed, we will compute a metric to measure how good the scheduling was.
Let the completion time of job J; in a given schedule be C;.
The average completion time over the set of all jobs is:
J,EJ
Describe and analyze a scheduling algorithm which minimizes the the average completion time.
Transcribed Image Text:Computers often have to deal with scheduling the programs which are submitted to them by program- mers. Programmers often require computers to finish running programs quickly. Programmers are very unpredictable and submit programs at arbitrary times. Programmers may also submit programs that take different amounts of time to complete. Programmers are being generous for this problem by allowing preemption. That is, the computer is allowed to switch from working on one program to another program while retaining progress. Suppose we have a single-processor computer which can only run one program at a time. Let J be a set of n jobs. Each job has an arrival time A; and a required amount of processing time P;. The computer doesn't know when jobs will arrive, but once the job arrives, it is given the quantity P. A job is complete once the computer has worked on it for P; units of time. After all the jobs are completed, we will compute a metric to measure how good the scheduling was. Let the completion time of job J; in a given schedule be C;. The average completion time over the set of all jobs is: J,EJ Describe and analyze a scheduling algorithm which minimizes the the average completion time.
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