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 programming , #questionQuestion. a paper mill produces two grades o...

#questionQuestion. a paper mill produces two grades of paper viz.,xand y.Bacause of raw material restrictions, it cannot produce more than 400 tones of grade x paper and 300 tons

Linear programing, Solve the following Linear Programming Problem using Sim...

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

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

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

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

Simplex solution, difference between simplex solution procedure for maximis...

difference between simplex solution procedure for maximisation and minimisation

Solve the following linear programming graphically, Problem based on graphi...

Problem based on graphical solution of a given LPP when feasible region is bounded. 1.    Solve the following linear programming graphically; Maximize and minimize z = 60x+

Answer, A paper mill products two grade of paper viz., X & Y. Because of ra...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Steps of research process, Steps of Research Process The steps of resear...

Steps of Research Process The steps of research process have already been discussed in theory. Here we shall outline the procedure of conducting the research. i) Formulate t

Calculate the yearly cost of waiting time, The Omega company, Brisbane, pro...

The Omega company, Brisbane, produces potato chips, corn, cheese twists, and popcorn. These products are made in Brisbane and then shipped to company warehouses and distribution ce

Assignment problem, a c++ program to implement assignment problem??????????...

a c++ program to implement assignment problem???????????

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