Question: Problem 4. Consider an M/G/1 queue that serves two types of jobs: red and blue. Red jobs arrive according to a Poisson process with rate

 Problem 4. Consider an M/G/1 queue that serves two types of

Problem 4. Consider an M/G/1 queue that serves two types of jobs: red and blue. Red jobs arrive according to a Poisson process with rate R=41 jobs/sec, and blue jobs arrive according to a Poisson process with rate B=21 jobs/sec. Red job sizes have mean 1 and variance 1 , whereas blue job sizes have mean 0.5 and variance 1. All jobs arrive to the same FCFS queue, so that, at any time, the server might be serving a red job or a blue one, and there might be jobs of one or both types in the queue. What is the mean response time of red jobs, and what is the mean response time of blue jobs

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find the mean response time for red and blue jobs in an MG1 queue we use the PollaczekKhinchine P... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!