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

Two handed process chart of signing a latter, Two Handed process Chart of S...

Two Handed process Chart of Signing a Latter     A multiple  activity  chart  records the related  sequence of activities  of more  than one subject, men  and / or  machine  o

Linear problem, A paper mill produces two grades of paper viz., X and Y. Be...

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

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

Cost- sampling decisons, Cost- sampling decisons                   ...

Cost- sampling decisons                         σ x¯ =S/√n       Where is the  standard  error of he mean is the standard devaluation of  the population and n is t

RJR NABISCO, WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN...

WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN IN THIS SITUATION

LPP, . A paper mill produces two grades of paper viz., X and Y. Because of ...

. 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

Short question, write down any two assumption of L.P

write down any two assumption of L.P

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