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

Demerits of range - measure of dispersion , Demerits  of Range a.It g...

Demerits  of Range a.It gives  importance  to the  two  extreme  values and is very much affected by the extreme items. b.The range  provides  no information  about the  st

Techniques of observation method, Techniques of Observation Method Obs...

Techniques of Observation Method Observation always involves some interaction between respondent and researcher in which researcher has an opportunity to watch respondent fu

Linear programming simplex method, How to solve linear programming problems...

How to solve linear programming problems using simplex method introducing slack variable,surplus variable and artificial variable

Replacement, an electric company which generates and distributes electricit...

an electric company which generates and distributes electricity conducted a study on the life of poles. tha appropriate life data are given in the following table: years after inst

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

Model, Importance of models

Importance of models

Models, what is similation model as a type of mathematical models

what is similation model as a type of mathematical models

Linear Programming, b. A paper mill produces two grades of paper viz., X an...

b. 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

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