Mathematics
Mathematics, 17.04.2020 16:42, babygurl27732

There are three jobs that need to be processed, with the processing time of job i being exponential with rate ui. There are two processors available, so processing on two of the jobs can immediately start, with processing on the final job to start when one of the initial ones is finished

(a) Let T, denote the time at which the processing of job i is completed. If the objective is to minimize EIT1 + T2 + T3], which jobs should be initially processed if μ1 < μ2 < μ3?

(b) Let M, called the makespan, be the time until all three jobs have been processed With S equal to the time that there is only a single processor working, show that For the rest of this problem, suppose that 141 112 μ, μ3 λ. Also, let P(u) be the probability that the last job to finish is either job 1 or job 2, and let P(a) 1- P) be the probability that the last job to finish is job 3

(c) Express E[S] in terms of P(u) and P() Let Pi, j(u) be the value of P() when i and j are the jobs that are initially started

(d) Show that P1,2(a) < Pista)

(e) If μ > λ show that E[M] is minimized when job 3 is one of the jobs that is initially started (f) If μ < λ show that E[M] is minimized when processing is initially started on jobs 1 and 2

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:20, jaueuxsn
Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test
Answers: 1
image
Mathematics, 21.06.2019 17:10, jonathan3191
Empty box + box + empty box fill in the box is equal to 30 how
Answers: 2
image
Mathematics, 21.06.2019 19:30, kelseybell2707
If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).
Answers: 1
image
Mathematics, 21.06.2019 20:30, kaliyaht01
The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96
Answers: 2
Do you know the correct answer?
There are three jobs that need to be processed, with the processing time of job i being exponential...

Questions in other subjects:

Konu
Health, 10.11.2020 20:00
Konu
Mathematics, 10.11.2020 20:00
Konu
Mathematics, 10.11.2020 20:00
Konu
Mathematics, 10.11.2020 20:00
Konu
Mathematics, 10.11.2020 20:00