[OR作業]Assignment 9 (due day: 05/12)
2008 Operation Research 2
Assignment 9
Due day:
2008/05/12
Problems:
1) 17.5.13
2) 17.6.4
3) 17.7.3
4) (Hillier 16.8-2)
The state of a particular continuous time Markov chain is defined as the
number of jobs currently at a certain work center, where a maximum of three
jobs are allowed. Jobs arrive individually. Whenever fewer than three jobs
are present, the time until the next arrival has an exponential distribution
with a mean of 1/2 day. Jobs are processed at the work center one at a time
and then leave immediately. Processing times have an exponential distribution
with a mean of 1/4 day.
(a) Construct the rate diagram for this Markov chain.
(b) Write the steady-state equations.
(c) Solve these equations for the steady-state probabilities.
注意: 請用A4紙張作答，不用A4作答不予計分,
並在作業的最上方標明「學號」及「姓名」。
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