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.A certain type component has two states: 0 = off and 1 = operating. In state 0, the process remains in the state an exponential amount of time with rate o, and then moves to state 1. The component spends an exponential amount of time with rate 3 in state 1 after which the process returns to state 0. A system consists of two such components A and B. Assume the amounts of time the components spend in the states are independent of one another and have rates given by the following. Component Off Rate (a) Operating Rate (3) 4 A 2 B 3 6 Consider the continuous-time Markov chain with states {0,4,B,2} representing the component currently operating. Enumerate the transition rates v; and the transition probabilities pij of the Markov chain.

.A certain type component has two states: 0 = off and 1 = operating. In state 0, the process remains in the state an exponential amount of time with rate o, and then moves to state 1. The component spends an exponential amount of time with rate 3 in state 1 after which the process returns to state 0. A system consists of two such components A and B. Assume the amounts of time the components spend in the states are independent of one another and have rates given by the following. Component Off Rate (a) Operating Rate (3) 4 A 2 B 3 6 Consider the continuous-time Markov chain with states {0,4,B,2} representing the component currently operating. Enumerate the transition rates v; and the transition probabilities pij of the Markov chain.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.A certain type component has two states: 0 = off and 1 = operating. In state 0, the process remains in the state an exponential amount of time with rate o, and then moves to state 1. The component spends an exponential amount of time with rate 3 in state 1 after which the process returns to state 0. A system consists of two such components A and B. Assume the amounts of time the components spend in the states are independent of one another and have rates given by the following. Component Off Rate (a) Operating Rate (8) 4 A 2 B 3 6 Consider the continuous-time Markov chain with states {0,4,B,2} representing the component currently operating. Enumerate the transition rates v; and the transition probabilities pij of the Markov chain.
Transcribed Image Text:.A certain type component has two states: 0 = off and 1 = operating. In state 0, the process remains in the state an exponential amount of time with rate o, and then moves to state 1. The component spends an exponential amount of time with rate 3 in state 1 after which the process returns to state 0. A system consists of two such components A and B. Assume the amounts of time the components spend in the states are independent of one another and have rates given by the following. Component Off Rate (a) Operating Rate (8) 4 A 2 B 3 6 Consider the continuous-time Markov chain with states {0,4,B,2} representing the component currently operating. Enumerate the transition rates v; and the transition probabilities pij of the Markov chain.
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