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Unformatted text preview: . Upon failure it is immediately
sent to the repair facility and replaced by another machine if there is one in
working order. At the repair facility machines are worked on by a single repairman who needs an exponentially distributed amount of time with mean 2 days
to ﬁx one printer. In the long run how often are there two working printers?
4.15. A computer lab has three laser printers that are hooked to the network.
A working printer will function for an exponential amount of time with mean 20
days. Upon failure it is immediately sent to the repair facility. There machines
are worked on by two repairman who can each repair one printer in an exponential amount of time with mean 2 days. However, it is not possible for two
people to work on one printer at once. (a) Formulate a Markov chain model for
the number of working printers and ﬁnd the stationary distribution. (b) How
often are both repairmen busy? (c) What is the average number of machines
4.16. A computer lab has 3 laser printers and 5 toner cartri...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land