Endovascular repair of traumatic aortic transection six years of experience
Markov Model for TMR System with Repair
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Markov Model for TMR System with Repair SUJITH NAIR
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This is a Class Lecture Slide for a Course on 'System Reliability'. A Short Description of the Markov Model for TMR System with Repair, and its Related Equations.
Transcript of Markov Model for TMR System with Repair
Markov Model for TMR System with Repair
SUJITH NAIR
MARKOV MODEL
1-3λΔt3λΔt
υΔt 2υΔt
3υΔt
λΔt
1-(2λ+υ)Δt1-(2υ+λ)Δt
1-3υΔt2λΔt
DIFFERENTIAL EQUATIONS
• dP3/dt = -3λP3 + υP2
• dP2/dt = 3λP3 –(2λ+υ)P2 +2υP1
• dP1/dt = 2λP2 –(2υ+λ)P1 +3υP0
• dP0/dt = λP1 -3υP0
LAPLACE TRANSFORMS
• y3(-s-3λ) + υy2 + 1 = 0
• 3λy3 + (-s-2λ-υ)y2 +2υy1 = 0
• 2λy2 + (-s - 2υ- λ)y1 + 3υy0 = 0
• λy1 + (-s - 3υ)y0 = 0
