-多服务台指数分布排队系统ppt课件

1、22cccccccc33(c-1)(c-1) 2 1 0cN-1c-1Ncccccc)()()3(3)2(2)(0),(1210NccppppppP01100pppp;2)()(202)(022200102210pppppppppp101pp212pp1nnppn设 成立11(1)()nnnpnpnp1111()()(1)(1)(1)nnnnnnpnppnpnnpnn pc0011!)(!1;pncpnppncpnpnnnnnnn1111,()NNnnnnnwhen cnNpc pppcpc pcp1nnppc0.()!n cncccccpppcccccppc000()!cccn ccn cc

2、nncccppppcccc011!)(pccppcpcpncnnnn001001001100100001()1!()(1!()11()1!11()()!(1)NcNnnnnnn cnccNnnn cnccnncNccnnccNcNcnnnnnpppccpncccpncccpncccpnc 100)1 ( !)(!)(cnNccnccncpNncpcccnpncpncnnn00!1!1(1) ()sqeqNLLLcPc0(1) 0(1)NennNNNnpppp)1 ()(1 )1 ( !201cNcNccqcNcpcL/ee 表示在顾客接受效力的平均时间内，按表示在顾客接受效力的平均时间内，按照

3、照 的速度又来到系统并参与排队的人数。的速度又来到系统并参与排队的人数。00123121212()()()!()23.()123.()1123.( 1,1)(1)ccNNNnnqnn cn cn cNncccNn ccN cnccLnc pncppncccncNcNcn 211222222102123.()1(1)(2).(1)1()1.(1)123.1()(1)1(1)1()(1)!(1)N cN cN cN cN cN cN cccN cN cqNcNcNcNcNccpLNcc )1 (NqeqqpLLW1qsWW小时）（辆小时单位顾客服务时间/5)60/12(111222410251(2

4、 )(2 )2()11!2!2!(1)0.40.41 0.820.4351 0.4p 348.0201pp1392.012pp0556.023pp0222.034pp100224. 04 . 024 . 031435. 04 . 0)4 . 01 ( ! 22)4 . 01 (4 . 0)24(4 . 01435. 04 . 0)4 . 01 ( ! 22323222424322qL)/(9112. 3)0222. 01 (4)1 (hpNe辆(min)536.13)(2256. 01(min)536. 1)(0256. 0hWWhLWqseqq)(082.0辆essWL c-1 2 1 0

5、c c+1 2 3 (c-1) c c c )()()3(3)2(2)(cccc)()()3(3)2(2)(cccc0),(210pppP1100)1 (!cnccnnccncpcnpcccnpncpncnnn00!201)1 ( !cpcLccqqsLLeqqLW1qsWW10010111011011101()()!(1)()()!(1)()!(1)()()!(1)()!limcccccccnccNcnnccNnncNcnnccNnnNnccccccpncccnccnccnccn 11101()!(1)!(1)ccNnnccncccccnc关于P0的证明4286. 04 . 014 . 02

6、4 . 0211! 2221121220pP1=2P0=0.34288P2=0.15P3=0.05486P4=0.02194)(524. 1)4 . 01 ( ! 24286. 04 . 02232辆qLe =4;)(381. 04524. 1hLWeqq)(581. 02 . 0381. 01hWWqs)(324. 24581. 0辆essWL222222 nn-1 2 1 0 c-1 2 1 0 c 2 3 (c-1) c cccccc) 1() 1() 2() 2()3(3)2(2)(cccccc) 1() 1() 2() 2()3(3)2(2)(c+1阶矩阵阶矩阵0),(210cppp

7、pP00!)(!1pncpnpnnnnn=1，2, , c；10100!)(!1nncnncnncnpcecepp损),1 (0, 0,1,qqsesWLWL029. 002858. 09888.34)18. 624. 8789. 803. 775. 31 ()75. 3 (! 51)75. 3 (! 41)75. 3 (! 31)75. 3 (2175. 31)(!111154321500kkkp109.0029.075.301pp179. 0029. 075. 3! 51)(! 515055ppp损)( 8 . 0) 45 ( 54)(1天sqWWP0=1-/=1-4/5=0.2；)1 (

8、0pe)( 2 . 354)(22台eqqWL)( 14511天essLW（台）4454sLp19618 . 0528c1112. 08 . 018 . 0! 228 . 021)1 (!1221100cnccnnccncp)(8475. 22 . 021112. 08 . 02)1 ( !232201台cpcLccq（台）4475.46 .18475.2qsLLp200)(3560.088475.2天qqLW)(5560.02 .03560.01天qsWW2个单队单服务台个单队单服务台 单队单队2个服务台个服务台 P0 0.2 0.1112 Wq 0.8 (天天) 0.3560 (天天) Lq