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

One sample runs test - hypothesis testing, ONE SAMPLE  RUNS  TEST A ...

ONE SAMPLE  RUNS  TEST A number of  methods have been  developed fro  judging the randomness of samples on the basis of  the order in which  teh observations  are taken. It is

Demerits - correlation regression analysis, Demerits a.It cannot  be ...

Demerits a.It cannot  be used in  the case  of  bi variate distribution. b.If the  numbers  of items  are greater than say  30, the calculation becomes  tedious  and  requ

Lpp., Paper Mill Produces Two Grades Of Paper Viz x And y Because Of Raw Ma...

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 a We

Research, Discus and explain both probability and none probability sampling...

Discus and explain both probability and none probability sampling techniques

Linear programming, Use Big M method to Maximize(Z)=3_(x_1 )+2_(x_2 ) Subj...

Use Big M method to Maximize(Z)=3_(x_1 )+2_(x_2 ) Subject to 3_(x_1 )+?1.5?_(x_2 )=30 x_1+x_2=20 x_1=0 x_2=0

Construction of a mathematical model, The 2 nd phase of operations Resear...

The 2 nd phase of operations Research is to construct a mathematical model representing the system under study. It requires the identification of both static and dynam

Methods of scientific research, Methods is a tool or a techniques used t...

Methods is a tool or a techniques used to collect data. It is procedure for obtaining knowledge based on empirical observation and logical reasoning. Field Study Metho

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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

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