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

Discuss the term group decision making, a. Determine the following with res...

a. Determine the following with respect to decision making approaches: (i) Group decision making (ii) Directive, analytic, conceptual and behavioral decision making styles (8

Linear programming , A paper mill prouduces two grads of paper viz., X and ...

A paper mill prouduces two grads of paper viz., X and Y. Becouse of raw material restriction, it cannot product more then 400 tons of grade X paper and 300 tons of grade Y paper in

Sources of hypothesis - hypothesis testing, Sources of Hypothesis Hyp...

Sources of Hypothesis Hypothesis  may be developed from  various  sources. Some  of the important  sources are  the  followings: 1. A Hypothesis  Arises from  Intuition

Characteristics, what are the characteristics of operation research

what are the characteristics of operation research

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

MODERN MANAGEMENT, DISCUSS THE SIGNIFICANCE AND SCOPE OF OPERATION RESEARCH...

DISCUSS THE SIGNIFICANCE AND SCOPE OF OPERATION RESEARCH IN MODERN MANAGEMENT

Queuing theory, A certain type of machine breaks down at an average rate of...

A certain type of machine breaks down at an average rate of 5/hour. the break down is in accordance with Poisson process.cost of idle machine hour is $15/hour. 2 repairmen Peter an

Optimal assignment, Six Operators are to be assigned to five jobs with the ...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Data collection procedure, A series of questionnaire for Delphi were mailed...

A series of questionnaire for Delphi were mailed to the selected experts who meet the criteria that mention in above. The overall purpose of the Delphi technique was to achieve the

Determination of effectiveness measures, Determination of effectiveness Mea...

Determination of effectiveness Measures: Effectiveness measure is a measure of success of a model in representing a problem and providing a solution. It is the connecting link

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