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

Microforms and photographs - classification of documents, Photographs and I...

Photographs and Illustrations: Photographs and illustrations are documents which provide a visual or pictorial representation of a person, place or situation which words fail

Linear programming, Ask question #Minimum 100 words acceptNas food produces...

Ask question #Minimum 100 words acceptNas food produces to kinds of popular dark chocolate bars. the banana and coffee. the banana bar costs 0.22 to make and sells of 0.35, where a

Simple method, solve the LPP using simple method, maximize z= 3x1+2x2 subje...

solve the LPP using simple method, maximize z= 3x1+2x2 subject to constraints

Discuss how theories is helpful researchers in communication, QUESTION 1 ...

QUESTION 1 i) What do you understand by the following terms? And what is their role in communication theories? Ontology Epistemology Axiology ii) Discuss how

Research an issue related to computer networks, Assignments should be submi...

Assignments should be submitted via FLO by the above deadline. Penalties for late submission are as set out in the topic SAM on FLO. Extensions can be granted in line with standard

Characteristics, what are the characteristics of operation research

what are the characteristics of operation research

Preparation of visual aids , Preparation of visual Aids ,Handouts and Feedb...

Preparation of visual Aids ,Handouts and Feedback Forms It is   always  better to prepare  visual  aids much  in advance of the presentation. Leaving  them for the  last mo

Operation reaserch, 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

Sample size in non propbability- sampling decisions, Sample Size in Non Pro...

Sample Size in Non Propbability The probability  selection does not apply  to purposive  selection. The size  of the  non  probability samples  is selected  in a subjective ma

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