排隊模型的綜合應(yīng)用

1、0p1p損p110 pp?1101ppp損 1 00),(10pp 010pp110 pp110p1101pp eqsqsqeqsesLLWWWLWL1M/M/1無限源無限源等待制公式等待制公式10101010)()1 (ckckkckkkckckkkpkccpckppckpqsLLcc 顧客按顧客按、平均到達(dá)率、平均到達(dá)率為為，服務(wù)時間服從服務(wù)時間服從、平均服務(wù)率、平均服務(wù)率為為，系統(tǒng)容量和顧客源均系統(tǒng)容量和顧客源均為為。當(dāng)顧客來到系統(tǒng)時，若服務(wù)臺忙，則當(dāng)顧客來到系統(tǒng)時，若服務(wù)臺忙，則顧客排隊等待服務(wù)，排隊規(guī)則為顧客排隊等待服務(wù)，排隊規(guī)則為的等待制排隊系統(tǒng)。的等待制排隊系統(tǒng)。62kkpp忙)

2、(206543210pppppppee損LsLqWsWq222kkkk2662kkkk 0 1 2 3 4 5 6 (1-2/6) (1-3/6) (1-4/6) (1-5/6) (1-2/6) (1-3/6) (1-4/6) (1-5/6) 2 2 2 2 2 2 2 2 2 2;8922121)(2;230022001212000110pppppppppppppp 1112121212)(21)(2ppppppppp的關(guān)系：和或者推出;3169! 31)232(21)232(22003123231ppppppppp;40962712;512276;1282741056045034ppppp

3、pppp140962751227128271698923, 1000000060ppppppppkk;00148. 0,01183. 0,04732. 0,12618. 0,25237. 0,33649. 0,22433. 06543210ppppppp0p43918. 065432pppppp忙00148.06p)/(5782.14)(206543210hpppppppe輛 )/(78.14510hRe元)/(4218. 35782.1418he輛損26223. 000148. 0401183. 0304732. 0212618. 0) 26() 25() 24() 23(6543ppppL

4、q47708. 1125782.1426223. 0eqsLL (min)08. 1)(0180. 05782.1426223. 0hLWeqq (min)08. 6)(101. 01hWWqs142533kkkk 6641064106410649548444),(, 06543210ppppppppp其中005600456003450023400123000120165654543432321210104056413563246440564)45164135320(61)410(6113532)153245160(61)410(614516)5161580()410(61158) 4536(

5、61)49 (6154451)48 (5106406104061040610406940584044pppppppppppppppppppppppppppppppppppppppppppppppppp;2547. 0159040540564135324516158541110p ebabLaFs5 . 4235 . 13,1;)(0)(22ababababbaddF令 2,231ccc0 1 2 3 4 5 6 4 5 3 4 5 3 3 3 3 3 3 30 1 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 4 5 6 4 5 6 6 6 6 6 6 6 c P0 Lq Ls F 2 3 4