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Turnaround Time vs Response Time: Turnaround time is the amount of time elapsed from the time of submission to the time of completion whereas response time is the average time elapsed from submission until the first response is produced. Turnaround Time vs Wait Time: Waiting time is amount of time a process has been waiting in the ready queue. [7]
Queueing theory is the mathematical study of waiting lines, or queues. [1] A queueing model is constructed so that queue lengths and waiting time can be predicted. [1] Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a ...
Imagine an application that had no easy way to measure response time. If the mean number in the system and the throughput are known, the average response time can be found using Little’s Law: mean response time = mean number in system / mean throughput. For example: A queue depth meter shows an average of nine jobs waiting to be serviced.
As the device becomes busier, the average wait time increases in a non-linear fashion. The busier the device is, the more dramatic the response time increases will seem as you approach 100% busy; all of that increase is caused by increases in wait time, which is the result of all the requests waiting in queue that have to run first.
The average response time or sojourn time (total time a customer spends in the system) does not depend on scheduling discipline and can be computed using Little's law as 1/(μ − λ). The average time spent waiting is 1/(μ − λ) − 1/μ = ρ/(μ − λ). The distribution of response times experienced does depend on scheduling discipline.
Waiting time and response time increase as the process's computational requirements increase. Since turnaround time is based on waiting time plus processing time, longer processes are significantly affected by this. Overall waiting time is smaller than FIFO, however since no process has to wait for the termination of the longest process.
Writing W * (s) for the Laplace–Stieltjes transform of the waiting time distribution, [22] is given by the Pollaczek–Khinchine transform as = () (()) where g(s) is the Laplace–Stieltjes transform of service time probability density function.
The response time is the amount of time a job spends in the system from the instant of arrival to the time they leave the system. A consistent and asymptotically normal estimator for the mean response time, can be computed as the fixed point of an empirical Laplace transform. [5]