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

Mccolvin''s principles, McColvin's Principles: L.R McColvin advanced h...

McColvin's Principles: L.R McColvin advanced his Demand and Supply Theory of Book Selection in 1925. He states, "Books in themselves are nothing. They have no more meaning tha

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

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

Objectives of measuring dispersion - measure of dispersion, Objectives of M...

Objectives of Measuring Dispersion a. To judge the Reliability  of Measures of Central Tendency: Measure of dispersion  is the  only means  to test the  representative charac

Methods of survey and study, Methods of Survey and Study:   Some method...

Methods of Survey and Study:   Some methods of collecting information about the organisation and about the information requirement of potential users are mentioned below. No si

Research paper, Research Paper Overview Research Topic: •    Research ...

Research Paper Overview Research Topic: •    Research the effects of federal mandates in your state.  Examples include the Americans with Disabilities Act, the No Child Left B

Answer, explain operation research with example.and also discuss the scope ...

explain operation research with example.and also discuss the scope of OR in modern management.

Research abstracts, Research Abstracts Abstracts of researches comp...

Research Abstracts Abstracts of researches completed are available from the followings publications: a. ICSSR Research Abstracts: contain abstracts of research projects

Experimental method, In this method variables beings studied are contro...

In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant

Linear Programming Problem, A paper mill produces two grades of paper viz.,...

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

Linear programming, Ask question #Minimum 100 words acceptNas food produces...

Ask question #Minimum 100 words acceptNas food produces to kinds of popular dark chocolate bars. the banana and coffee. the banana bar costs 0.22 to make and sells of 0.35, where a

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