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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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.
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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