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

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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

Probability and non probability sampling , Probability and Non  Probability...

Probability and Non  Probability Sampling The following s are some  of the  considerations for the  selection  of probability  an non  probability  sampling. 1.Sometimes p

Linear programming, maximize z=3x1+2*2 subject to the constraints x1+x2=4 x...

maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

requirements and characteristics of a good table , Requirements and Charac...

Requirements and Characteristics of a good table In the words  of Mr. Harry Jerome a good statistical table  is a triumph of ingenuity and  technique masterpiece of economy  o

Mb0048, A paper mill produces two grades of paper viz., X and Y. Because of...

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

Determine capacity of unit, Show simple vapour compression Refrigeration cy...

Show simple vapour compression Refrigeration cycle with showing all the devices and also draw T-sand P-R diagram and illustrate it also. A Bell-Coleman cycle works between 1 bar

Sampling techniques, discuss and explain both probability and non probabili...

discuss and explain both probability and non probability sampling techniques.

DECISION MODELS, CRITICAL EXAMINATION OF THE APPLICATION OF DECISION THEORY...

CRITICAL EXAMINATION OF THE APPLICATION OF DECISION THEORY TECHNIQUES OR MODEL IN BUSINESS DECISION MAKING IN NIGERIA

Functions and objects of statistical average , Normal 0 false...

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

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