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

Identify and comment on cultural similarities, You are required to analyse ...

You are required to analyse the case study, as indicated under these headings: 1. Identify FIVE persons, bodies, organisations or groups in the case study. 2. For EACH of the

Lpp using sipmle method, Maximize Z= 3x1 + 2X2 Subject to the constraints: ...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

project management , Project Management Your  data need to be orga...

Project Management Your  data need to be organized in such  a way that  access to them  is both  quick  and accurate. In  achieving  this a good qualitative analysis progra

Compute the joining, The Best Corporation is considering making either mino...

The Best Corporation is considering making either minor or major repairs to a malfunctioning production process.  When the process is malfunctioning, the percentage of defective it

#transportation and linear models.., #what is the similarity and difference...

#what is the similarity and differences between transportation and linear programing models?

Sequential sampling -sampling decisons, Sequential Samplin The previou...

Sequential Samplin The previous  has shown  that the sampling  units  were drawn  prior  to the drawing of the actual   sample  and has  a fixed  size. But the  sequential  sa

Explain the method of taylor scientific management, a. Explain the method o...

a. Explain the method of "Taylor's Scientific Management". List the elements of Taylor's Scientific Management. b. List the necessary managerial functions of a Manager. Explain.

Linear programming, 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

Sequencing, how the sequencing techniques help the manager

how the sequencing techniques help the manager

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