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

Linear programning, b. A paper mill produces two grades of paper viz., X an...

b. 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 pape

Medical industry payments to physicians, Medical Industry Payments to Physi...

Medical Industry Payments to Physicians The relationships between physicians and medical related companies in the United States, generally acknowledged to be familiar given th

Linear programming model, Nass food produces to kinds of popular dark choco...

Nass food produces to kinds of popular dark chocolate bars. The banana and the coffee.the

TRANSPOTATION, LIMITS OF TRANSPOTATION PROBLEM

LIMITS OF TRANSPOTATION PROBLEM

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

form of t- distribution - hypothesis testing , Form of t- Distribution ...

Form of t- Distribution 1. The students  t - distribution  like the  normal  distribution has bell shaped frequency  curve which is symmetrical. The only  parameter which  det

Describe the demand curve, The following equation gives Jane's linear deman...

The following equation gives Jane's linear demand curve for visits to a nearby national park.  Q is the number of visits per week and P represents the price of a pass (price per vi

Sope, sope of operations research in a detailed manner

sope of operations research in a detailed manner

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