Tag: Highest Response Ratio Next Example

HRRN Scheduling | CPU Scheduling

HRRN Scheduling-

 

In HRRN Scheduling,

  • Out of all the available processes, CPU is assigned to the process having highest response ratio.
  • In case of a tie, it is broken by FCFS Scheduling.
  • It operates only in non-preemptive mode.

 

Calculating Response Ratio-

 

Response Ratio (RR) for any process is calculated by using the formula-

 

 

where-

  • W = Waiting time of the process so far
  • B = Burst time or Service time of the process

 

Advantages-

 

  • It performs better than SJF Scheduling.
  • It not only favors the shorter jobs but also limits the waiting time of longer jobs.

 

Disadvantages-

 

  • It can not be implemented practically.
  • This is because burst time of the processes can not be known in advance.

 

PRACTICE PROBLEM BASED ON HRRN SCHEDULING-

 

Problem-

 

Consider the set of 5 processes whose arrival time and burst time are given below-

 

Process IdArrival timeBurst time
P003
P126
P244
P365
P482

 

If the CPU scheduling policy is Highest Response Ratio Next, calculate the average waiting time and average turn around time.

 

Solution-

 

Step-01:

 

  • At t = 0, only the process P0 is available in the ready queue.
  • So, process P0 executes till its completion.

 

 

Step-02:

 

  • At t = 3, only the process P1 is available in the ready queue.
  • So, process P1 executes till its completion.

 

 

Step-03:

 

  • At t = 9, the processes P2, P3 and P4 are available in the ready queue.
  • The process having the highest response ratio will be executed next.

 

The response ratio are-

  • Response Ratio for process P2 = [(9-4) + 4] / 4 = 9 / 4 = 2.25
  • Response Ratio for process P3 = [(9-6) + 5] / 5 = 8 / 5 = 1.6
  • Response Ratio for process P4 = [(9-8) + 2] / 2 = 3 / 2 = 1.5

 

Since process P2 has the highest response ratio, so process P2 executes till completion.

 

 

Step-04:

 

  • At t = 13, the processes P3 and P4 are available in the ready queue.
  • The process having the highest response ratio will be executed next.

 

The response ratio are calculated as-

  • Response Ratio for process P3 = [(13-6) + 5] / 5 = 12 / 5 = 2.4
  • Response Ratio for process P4 = [(13-8) + 2] / 2 = 7 / 2 = 3.5

 

Since process P4 has the highest response ratio, so process P4 executes till completion.

 

 

Step-05:

 

  • At t = 15, only the process P3 is available in the ready queue.
  • So, process P3 executes till its completion.

 

 

Now, we know-

  • Turn Around time = Exit time – Arrival time
  • Waiting time = Turn Around time – Burst time

 

Also read- Various Times of Process

 

Process IdExit timeTurn Around timeWaiting time
P033 – 0 = 33 – 3 = 0
P199 – 2 = 77 – 6 = 1
P21313 – 4 = 99 – 4 = 5
P32020 – 6 = 1414 – 5 = 9
P41515 – 8 = 77 – 2 = 5

 

Now,

  • Average Turn Around time = (3 + 7 + 9 + 14 + 7) / 5 = 40 / 5 = 8 units
  • Average waiting time = (0 + 1 + 5 + 9 + 5) / 5 = 20 / 5 = 4 units

 

To gain better understanding about HRRN Scheduling,

Watch this Video Lecture

 

Next Article- Round Robin Scheduling

 

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