Queuing Theory, Mathematics

Assignment Help:
A telephone exchange has two long distance operators.The telephone company find that during the peak load,long distance calls arrive in a poisson fashion at an average rate of 15 per hours.The length of service on there cala in approximately exponentially distributed with mean length 5 minutes.
a)what is the probability that a subscriber will have to wait for his long distance call during the peak hours of the day?
b)If the subscriber will wait and are served in turns,what is the expected waiting time?
c)Establish the formula used.

Related Discussions:- Queuing Theory

Question, What is a marketing plan

What is a marketing plan

Simpson rule - approximating definite integrals, Simpson's Rule - Approxima...

Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int

Find ways in which prizes are distributed between student, Find out the num...

Find out the number of ways in which 5 prizes can be distributed among 5 students such that  (a)   Each student may get a prize. (b)  There is no restriction to the number o

Discontinuous integrand- integration techniques, Discontinuous Integrand- I...

Discontinuous Integrand- Integration Techniques Here now we need to look at the second type of improper integrals that we will be looking at in this section.  These are integr

Explain introduction to non-euclidean geometry, Explain Introduction to Non...

Explain Introduction to Non-Euclidean Geometry? Up to this point, the type of geometry we have been studying is known as Euclidean geometry. It is based on the studies of the a

Indeterminate form, Indeterminate form : The 0/0 we initially got is calle...

Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work.  In the denominator

Times fractons, In a garden, 1/8 of the flowers are tulips. 1/4 of the tuli...

In a garden, 1/8 of the flowers are tulips. 1/4 of the tulips are red. What fraction of the flowers in the garden are red tulips?

Determines the angles of depression, A pilot is flying over a straight leng...

A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f

How many inches long is the bedroom, Raul's bedroom is 4 yards long. How ma...

Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd