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

Objectives of strategic management, Problem What are important objectiv...

Problem What are important objectives of strategic management and the causes for failure t of strategic management Objectives To keep pace with the changing business e

Vogel approximation methods, This method is more  systematic and orderly th...

This method is more  systematic and orderly than least cost method. Here penalties for each column and row of the transportation table are determined, and the row  or  column with

Conflicts of interest and related change in medical research, Conflicts of ...

Conflicts of Interest and Related Change in Medical Research The significant increase in private industry drug studies has spawned three other changes in medical research: med

Important to theoretical distribution , Important to Theoretical Distributi...

Important to Theoretical Distribution The science  of theoretical distribution  under which  the frequencies of a variable are derived by  some  mathematical  model  without

Pay-off matrix , In a rectangular game, pay-off matrix of player A is as fo...

In a rectangular game, pay-off matrix of player A is as follows: Player B B1 B2 Player A A1 A2 i) Solve the game. ii) Write down the pay-off matrix of B and th

Quality circles, advantage of quality circle process

advantage of quality circle process

Linear programming., Q3. Solve the following Linear Programming Problem usi...

Q3. Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X

Solve the following Linear Programming Problem using Simple , Solve the fol...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2

Linear programing, A paper mill produces two grades of paper viz., X and Y....

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

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