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

Modi Method, a manufacture wants to ship 8 loads of his product as shown be...

a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D.

Linear programming, Meaning of Linear programming problem and explanation o...

Meaning of Linear programming problem and explanation of graphical method of solving Linear Programming Problem

Cpm/pert, how to make an attractive assignment

how to make an attractive assignment

Competitive models, These models have been developed to establish a trade ...

These models have been developed to establish a trade off between costs of providing and the waiting time of a customer in the queuing system. Constructing a model entails desc

Range - measure of dispersion , RANGE Range  is the difference  betw...

RANGE Range  is the difference  between  the highest  and the  lowest  value is  series. This is the simplest  absolute measure  of dispersion. Symbolically  : R= L- S

Meaning of a research report, Problem The important task ahead of the r...

Problem The important task ahead of the researcher is to document the entire work done in the form of a well-structured research report. Describe in brief the components of a R

CHARACTERISTIC, O.R REPLACES MANAGEMENT BY PERSONALITY

O.R REPLACES MANAGEMENT BY PERSONALITY

Sample size in non propbability- sampling decisions, Sample Size in Non Pro...

Sample Size in Non Propbability The probability  selection does not apply  to purposive  selection. The size  of the  non  probability samples  is selected  in a subjective ma

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

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