Find the stationary distribution

Assignment Help Mathematics
Reference no: EM131127745

An airline reservation system has two computers, only one of which is in operation at any given time. A computer may break down on any given day with probability p ∈ (0,1). There is a single repair facility which takes two days to restore a computer to normal. The facilities are such that only one computer at a time can be dealt with. Form a Markov chain that models the situation (make sure to keep track of the number of machines in operation as well as the status of the machine - if there is one - at the repair facility).

Find the stationary distribution.

What percentage of time (on average) are no machines operable?

What percentage of time (on average) is exactly one machine operable?

Reference no: EM131127745

Questions Cloud

What is metadrama : What is "metadrama"? Write a one-page essay that usesA Midsummer Night's Dreamand at least one other play to explain the concept of metadrama. You can use course materials, including the metadrama handout, but you cannot do research on the intern..
How much orbital area will the asteroid sweep out this year : A certain asteroid was observed to sweep out an orbital area of 450 billion square kilometers during the year 2015. How much orbital area will the asteroid sweep out this year? How much orbital area did the asteroid sweep out during this semester's S..
Make in initial development of the protocols : Distinguished Ad Agency (DAA) had been in business for about 10 years. It had a strong regional reputation, and counted divisions of five Fortune 500 firms among its clients. Manuel Novedad, cofounder and president, had built the firm on a foundation..
Calculate the apparent power and the power factor : If it has a resistance of 30 Ω and an inductance of 0.5 H, calculate the apparent power and the power factor.
Find the stationary distribution : Find the stationary distribution - What percentage of time (on average) are no machines operable?
Find all stationary distributions : What is the expected number of steps before it returns to 1 - How many times, on average, does the chain visit 2 between two consecutive visits to 1?
Used in surgery to induce unconsciousness : Anesthesia is used in surgery to induce unconsciousness. One problem with drug-induced unconsciousness is large differences in patient responsiveness. Furthermore, the patient response changes during an operation.
What load should be connected to terminals a-b of circuit : what load should be connected to terminals a-b of the circuits in Fig. 11.51 so that the maximum power is transferred to the load?
Which of the following qualities are characteristic : Which of the following qualities are characteristic of fixed assets? (a) Tangible, (b) Capable of repeated use in the operations of the business, (c) Held for sale in the normal course of business, (d) Used rarely in the operations of the business, (..

Reviews

Write a Review

Mathematics Questions & Answers

  Identify a handful of leading metrics

In a well-organized and detailed essay, identify a handful of leading metrics that you think an organization can use or could implement to help with the continuous improvement efforts of the company's management systems. Reflect on the key risks f..

  Replace a three fourths note

Dria is writing a piece of music she has decided to replace a three fourths note which takes up three fourths of a small section of music called to measure with 1/8 notes which each take up 1/8 of a measure .

  What was the population in 1995

the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?

  How is the profit changing with respect to time

The demand is currently 600 t-shirts, but euphoria over the championship is subsiding so the demand is dropping by 200 t-shirts per day. How is the profit changing with respect to time?

  Calculate expected time or duration for each activity

project path a-c-e-j has these activity time estimates in

  Explain being dropped from an initial height

The height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using the function h = -16t2 + s. An object is dropped from a helicopter

  Determine qualitatively different regimes of growth

Find the three qualitatively different regimes of growth from the given data - formulation to distinguish and describe three qualitatively different regimes of growth

  Use the counting principle to determine the number

A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted.

  Plot each of given secant vectors as well as tangent vectors

Plot the curve C for 0 ≤ t ≤ 1 and use the {\bf arrow} feature to plot each of these secant vectors as well as the tangent vector to the curve at p(0). Attach each of these vectors to the point p(0) = (0, 1).

  Jeremy had a square piece of gift wrapping paper

Jeremy had a square piece of gift wrapping paper with a side length of x inches that he used to wrap a present.  First he cut 6 inches off the right side of the paper and discarded the rectangular scrap.  Next he cut 3 inches off the top of the paper..

  Summary of significant accounting policies

How many years are covered in each of the primary comparative financial statements and were all of these statements audited? Name the auditors. What were the auditors' conclusions concerning these statements?

  What is the velocity of the particle after the ricochet

assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.

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