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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