A job shop consists of three machines and two repairmen. The amount of time a machine works before breaking down is exponentially distributed with mean 10 while the amount of time it takes a single repairman fix a machine is exponentially distributed with mean 8. Define X to be the number of machines under repair at time t. Set-up the Kolmogorov backward equations.
A job shop consists of three machines and two repairmen. The amount of time a machine works before breaking down is exponentially distributed with mean 10 while the amount of time it takes a single repairman fix a machine is exponentially distributed with mean 8. Define X to be the number of machines under repair at time t. Set-up the Kolmogorov backward equations.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A job shop consists of three machines and two repairmen. The amount of time a machine works
before breaking down is exponentially distributed with mean 10 while the amount of time it
takes a single repairman fix a machine is exponentially distributed with mean 8. Define X; to be
the number of machines under repair at time t. Set-up the Kolmogorov backward equations.
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