Analyse the average number and mean number, Operation Research

Assignment Help:

Consider the closed network of the following figure. The number at the arrows give the transition probabilities for a customer leaving the queue to route to a subsequent queue. Every station contains a single server, and all arriving customers may enter the station.

Service is in order of arrival. The service times have an exponential distribution with with: m1=4, m2=3, m3=2, m4=1.

52_exponential.png

a)      Give the joint stationary distribution for the number of customers in the four stations for m=1, 2, and 3 (m=total number of customers in the network).

b)      Obtain using Mean Value Analyse the average number of customers and the average sojourn time in the four queues for m=1, 2 and 3.

c)      Determine for m=1 the average time for a customer to return for the first time to station 1.


Related Discussions:- Analyse the average number and mean number

Degree of correlation ship - correlation regression analysi, Degree of  Co...

Degree of  Correlation ship 1. Perfect Correlation: When  changes  in  two related variables are  exactly  proportional  there is  perfect correlation between  them. In case

Software, role of computer software operation research

role of computer software operation research

Tables and graphs, Normal 0 false false false EN-IN ...

Normal 0 false false false EN-IN X-NONE X-NONE

Linear programming, A paper mill produces two grades of paper viz., X and Y...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Determination of the operation, An operation is a combination of different...

An operation is a combination of different actions dealing with raw materials( e, g, men and machines) which form a structure from which an action with regard to broader ob

Manufacturing operation , You are a manager at a medium sized manufacturing...

You are a manager at a medium sized manufacturing operation that sells a customized product directly to the consumers and the data pattern is linear but it can have the occasion ra

Modi, there are 5 plants located in different cities and manufacturer a com...

there are 5 plants located in different cities and manufacturer a common produt A

Uncertainly, Uncertainly : There is a great uncertainly about economic a...

Uncertainly : There is a great uncertainly about economic and general environment. With economic growth uncertainty is also growing's. this makes each decisions costlier

LInear Programming, - A paper mill produces two grades of paper viz., X an...

- A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y pape

Problems, can u send me some assigment problems

can u send me some assigment problems

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