Calculate its stationary probabilities, Basic Statistics

A small specialized workshop is used to perform periodic check-up on some high-tech devices. The check up is made in three stages whose durations are independent random variables with geometric distribution with averages of 2, 3 and 1 days, respectively, for the 1st, 2nd and 3rd stage. The workshop issmall, only one device can be processed at once. In addition, when a step is completed, the next step of the work can not begin until the beginning of the next day business. When step 3 is completed, the development of the device is terminated and the Work resumed on another device at the beginning of the next business day. Let Xn be the step During the day number n.

(A) show that {Xn, n = 0, 1, 2,. . .} Is an irreducible Markov chain and build its matrix of transition probabilities.

(B) Calculate its stationary probabilities. Note: no matrix inversion is required.

(C) Suppose that the first step requires the presence of three (3) technicians while the second stage involves one(1),and third  requires two (2). On average how many technicians are working each  day?

(D) On average, how many technician-day does it take to make the check-up of a device like this?

 

Posted Date: 3/26/2013 8:02:42 AM | Location : United States







Related Discussions:- Calculate its stationary probabilities, Assignment Help, Ask Question on Calculate its stationary probabilities, Get Answer, Expert's Help, Calculate its stationary probabilities Discussions

Write discussion on Calculate its stationary probabilities
Your posts are moderated
Related Questions
what are the condition to use probable error

Oprah Winfrey endorsed Barack Obama in the Democratic presidential primary. Does Oprah's endorsement make a difference? If so, we would expect support for Obama to be higher among

Plase give me the answers of this sets of questions.

Balance of Payments, Mobility of Labor and Capital, Trade and Wages Balance of Payments 1. Will a country running a trade deficit import or export capital?  Explain. 2.

1. It is often a good idea to start by visualizing the data. Time series data should have "time" on the horizontal axis. What are you going to have on the vertical axis? If you use

I need help on writing a paper about this title

If q=2,TP=450 and AP=225, what is MP. How can I figure out what my marginal product will be?

3. In a management class of 100 students’ three languages are offered as an additional subject viz. Hindi, English and Kannada. There are 28 students taking Hindi, 26 taking Hindi

A.  A computer rejuvenation facility receives systems from the fleet at 24 systems/day (assume this is a Poisson process).  It takes the triage function 30 minutes (assumed exponen

A and B throw with one dice for a prize of Rs.11 which is to be won by a player who first throws 6. If A has the first throw, what are their respective expectations?