作者disroxen (八風吹不動)
看板Grad-ProbAsk
標題[問題] 作業研究-馬可夫鏈問題
時間Mon Apr 27 13:19:26 2009
這題題目蠻長的!觀看此題的大哥大姊們辛苦了!再勞煩您為小弟解惑了!T_T
In a factory, a new product passes the quality contral test
with probability
0.7 and fails with probability
0.3.
New products that pass the quality control tests are shipped,
﹋﹋﹋﹋﹋﹋
while those that fail are returned for reprocessing then retesting.
A reprocessed product passes the quality control tests with probability
0.9
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
and fails with probability
0.1.
Reprocessed products that pass the tests are shipped,
while those that fail are classified as recycled product and returned
for a second reprocessing.
After being reprocessed a second time, a recycled product passes the test
﹋﹋﹋﹋﹋﹋﹋﹋﹋
with probability
0.6 and fail with probability
0.4.
Recycled products that pass the test are shipped,
while those that fail are destroyed.
Current inventory lists
417 new products,
55 reprocessed products,
﹋﹋﹋﹋﹋﹋﹋﹋ ﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
and
28 recycled products. How many of these items will be shipped eventually?
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
Apply the Markov chain model to solve this problem.
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※ 編輯: disroxen 來自: 123.240.242.16 (04/27 13:20)