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

Research and development - information generation process, Research and Dev...

Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

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

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 in

Markov analysis, The town of Silverton, Colorado, has three gasoline statio...

The town of Silverton, Colorado, has three gasoline stations, Shell, Exxon, and Arco. Customer selection of service stations can be modeled as a Markov process, with the following

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

Chi square test - hypothesis testing, Chi Square Test ( X 2 ) Chi Squ...

Chi Square Test ( X 2 ) Chi Square Test Defined  the chi square test is one  simplest  and most  commonly  used non parametric tests in statistical work. The Greek letter X 2

Game thoery, In a rectangular game, pay-off matrix of player A is as follow...

In a rectangular game, pay-off matrix of player A is as follows: i) Solve the game. ii) Write down the pay-off matrix of B and then, solve the game.

LPP, a paper mill produce two grades of paper viz., X and Y. because of raw...

a paper mill produce two grades of paper viz., X and Y. because of raw material restrictions, it cannot produce more than 400 tona of grade X and 300 tons of grade Yin a week. ther

Assignment problem, 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

Advantages of mean deviation - measure of dispersion, Advantages  of Mea...

Advantages  of Mean  Deviation a.It is based on all the  observation . any  change in any  item would  change the value of mean  deviation. b.Mean  deviation  is less  aff

Transportation, we have three reservoirs with daily supplies of15, 20 and 2...

we have three reservoirs with daily supplies of15, 20 and 25 litres of fresh water respectively. on each day we must supply four cities A B C D whose demands are 8 10 12 and 15 res

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