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

LLP Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0 on..

Non-governmental organisation, Name the feature which is not normally assoc...

Name the feature which is not normally associated with a Non-Governmental Organisation (NGO)?  Government funded is the organisation.

What do you understand by the term operations research, Question : (a) ...

Question : (a) (i) What do you understand by the term "operations research"? (ii) Discuss three common operations research models. (b) Self-service at the university c

Calculation of standard deviation - continuous series, Calculation of Stand...

Calculation of Standard Deviation - Continuous Series: In the continuous series the methods of calculation standard deviation is almost the same as in a discrete frequency distrib

Operations research 2, management wants to know how many supervisors should...

management wants to know how many supervisors should be hired, and what could be the optimum workload distribution to be applied, given a number of constraints

Assignment question. please give me the solution, A paper mill produces two...

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

Operations research, What are artificial variable why do you need them

What are artificial variable why do you need them

Institutional Characteristics - information resources, Institutional Charac...

Institutional Characteristics:  An approach to an understanding of the fields of interest of individuals to be served and of the organisation as a whole could begin by acquiri

Action Phase, What is The proper meaning of action phase will u help me to ...

What is The proper meaning of action phase will u help me to lern it in deeply????

Describe the objectives of tax planning, Question 1 Describe the obje...

Question 1 Describe the objectives of tax planning. Explain the factors to be considered in tax planning. Question 2 Describe the categories in Capital assets. Mr.

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