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Unformatted text preview: dges. Each machine requires one toner cartridges which lasts for an exponentially distributed
amount of time with mean 6 days. When a toner cartridge is empty it is sent
to a repairman who takes an exponential amount of time with mean 1 day to
reﬁll it. (a) Compute the stationary distribution. (b) How often are all three
4.17. Customers arrive at a full-service one-pump gas station at rate of 20 cars
per hour. However, customers will go to another station if there are at least
two cars in the station, i.e., one being served and one waiting. Suppose that the
service time for customers is exponential with mean 6 minutes. (a) Formulate
a Markov chain model for the number of cars at the gas station and ﬁnd its
stationary distribution. (b) On the average how many customers are served per
4.18. Solve the previous problem for a two-pump self-serve station under the
assumption that customers will go to another station if there are at least four
cars in the station, i...
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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