[排隊論]維修機械一題

看板Math作者 (玩我豬)時間12年前 (2013/10/13 19:37), 編輯推噓0(000)
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題目是: Suppose that one repairman has been assigned the responsibility of maintaining four machines. For each machine, the probability distribution of running time before a break-down is in Poisson's distribution with a mean of eight hours. The repair time has an exponential distribution with a mean of two hours. Another repairman will come to repair the break-down machine(s) also, if more than two machines are out of service. Calculate the expected number of machines that are not running. 圖片連結是: http://ppt.cc/p2IZ 我的想法是知道 進入率=8, 服務率=2, 而服務人員=1/2... 我想我是要找 L_q 吧?但然後我不知道怎麼入手了,因為不知道state diagram怎麼畫. 請版友指教,謝謝. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 1.36.66.232
文章代碼(AID): #1IMeNZpX (Math)
文章代碼(AID): #1IMeNZpX (Math)