[OR作業]Assignment 9 (due day:05/12)

[jenban (點滴)]

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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