Разработка и исследование имитационной модели разветвленной СМО (системы массового обслуживания) в среде VB5
Информация - Радиоэлектроника
Другие материалы по предмету Радиоэлектроника
µнные результаты показывают, что при экспоненциальном распределении потока обслуживания на первой станции характер распределения на последующей станции сохраняет входное экспоненциальное распределение, при нормальном распределение меняется. Дальнейшие исследования проведем для различного количества станций и различных связей между ними при экспоненциальном распределении входного потока и потока обслуживания.
32000 заявок; 10 экспериментов; Экспоненциальное распределение входного потока и времени обслуживания
EXP
Ts(2) = 3
0,333 Pr(2) = 0 1
EXP
EXP 0,334 EXP1 EXP
Ts(1) = 3 Ts(3) = 3 Ts(5) = 3
Ta = 5Pr(1) = 0 Pr(3) = 0 Pr(5) = 0
0,3331
EXP
Ts(4) = 3
Pr(4) = 0
По формулам:
рис. 4
12345678910WT14.594.604.604.594.364.334.504.504.574.66IDT12.001.961.981.992.012.002.011.991.941.93Tmid17.607.617.617.577.367.347.497.537.567.68WT20.740.790.740.820.770.760.730.740.810.74IDT212.0011.9812.1911.9312.1011.7812.2411.9811.8111.91Tmid23.773.803.763.843.743.773.653.713.823.67WT30.690.770.760.810.810.760.760.740.740.76IDT312.2511.8311.7211.9011.8912.0012.1312.1811.9311.72Tmid33.673.823.773.813.773.813.763.753.753.77WT40.810.750.710.730.740.780.760.780.770.75IDT411.8911.9011.9312.0012.1812.2611.8712.0511.7112.05Tmid43.803.803.703.663.733.803.733.763.783.75WT54.374.444.554.644.434.194.424.444.574.67IDT52.022.001.991.972.012.042.022.011.941.97Tmid57.367.427.537.647.447.167.427.447.577.66
MAX = +3.3%MAX = +9.4%MAX = +7.9%MAX = +8.1% MAX = +3.8%
MIN = -3.8%MIN = -2.1%MIN = -8.1%MIN = -5.2% MIN = -6.9%
MAX = +0.5%MAX = +1.9%MAX = +2.3%MAX = +2.1% MAX = +2%
MIN = -3.5%MIN = -1.9%MIN = -2.1%MIN = -2.5% MIN = -3%
MAX = +2.4%MAX = +2.5%MAX = +1.8%MAX = +1.4% MAX = +2.1%
MIN = -2.1%MIN = -2.6%MIN = -2.1%MIN = -2.4% MIN = -4.5%
12. 4 станции, 32000 заявок, 10 экспериментов
1 2 3 4 ; отбраковки нет
Ta = 10, Ts(1) = 3, Ts(2) = 9, Ts(3) = 5, Ts(4) = 7
По формулам:
1 станция2 станция3 станция4 станцияWT1.2621.28884.1178.794.8924.87216.4916.36WT1.2901.34272.0084.955.0185.09416.8516.43WT1.3071.25986.3179.625.0984.98315.8515.15WT1.3161.28394.9384.584.9084.67416.6115.59WT1.3081.29684.1883.735.2615.50916.0815.73IDT6.9936.9720.9681.0324.9994.9823.0382.963IDT7.0006.8761.0230.8735.0134.9103.0122.937IDT6.8877.0280.9301.0304.9175.0192.9673.057IDT6.9457.0711.0231.0464.9745.1082.9373.099IDT6.9276.8840.9700.9484.9024.8202.8762.946Tmid4.2494.29593.1387.749.8749.86923.4323.38Tmid4.2884.36780.9893.9810.0010.0823.8523.39Tmid4.3174.25095.2888.6210.079.99022.7822.12Tmid4.3424.249103.893.579.9149.60423.6622.53Tmid4.3224.31393.1592.6810.3010.5923.1422.69
MAX = +4.4%MAX = +17%MAX = +10%MAX = +3.2%
MIN = -2.0%MIN = -11%MIN = -6.5%MIN = -7.2%
MAX = +1%MAX = +4.6%MAX = +2.1%MAX = +3.3%
MIN = -1.8%MIN = -12.7%MIN = -3.6%MIN = -4.1%
MAX = +1.9%MAX = +15.3%MAX = +5.9%MAX = +2.2%
MIN = -0.8%MIN = -10%MIN = -4%MIN = -5.2%
13. 4 станции, 32000 заявок, 10 экспериментов
1 2 = 0.9;1 3 = 0.1;2 4 = 1;3 4 = 1;
отбраковки нет
Ta = 5, Ts(1) = 3, Ts(2) = 3, Ts(3) = 3, Ts(4) = 3
По формулам:
1 станция2 станция3 станция4 станцияWT4.3294.7963.4823.5550.150.2334.3274.226WT4.7354.5633.6383.6300.1870.2004.6124.404WT4.6414.3463.3823.5400.1950.1714.4534.482WT4.5144.6863.4213.6700.1760.2184.6644.511WT4.2714.3973.6093.3800.1740.1864.2054.426IDT2.0071.9602.5722.53146.6445.932.0321.989IDT1.9212.0172.4952.59847.1146.371.9582.015IDT1.9622.0052.5582.54047.4146.281.9991.963IDT2.0011.9772.5542.52846.8146.131.9821.984IDT2.0482.0062.5552.59647.8546.652.0662.012Tmid7.3337.7896.4856.5693.0243.1757.3067.218Tmid7.7587.5736.6286.6293.2323.1407.5977.416Tmid7.6677.3176.3636.5353.1323.1927.4447.495Tmid7.5057.6926.4166.6863.1353.2607.6747.510Tmid7.2497.3986.6326.3533.1753.2327.1667.422
MAX = +6%MAX = +4.2%MAX = +22%MAX = +3.6%
MIN = -5.1%MIN = -4%MIN = -21.5%MIN = -6.6%
MAX = +2.4%MAX = +1.7%MAX = +1.8%MAX = +3.3%
MIN = -4%MIN = -2.3%MIN = -2.3%MIN = -2.1%
MAX = +3.9%MAX = +2.5%MAX = +2.2%MAX = +2.3%
MIN = -3.3%MIN = -2.6%MIN = -5.2%MIN = -4.5%
14. 4 станции, 32000 заявок, 10 экспериментов
1 2 = 0.1;1 3 = 0.9;2 4 = 1;3 4 = 1;
отбраковки нет
Ta = 5, Ts(1) = 3, Ts(2) = 3, Ts(3) = 3, Ts(4) = 3
По формулам:
1 станция2 станция3 станция4 станцияWT4.3684.3060.1880.1633.6183.3374.3534.380WT4.5264.7370.2140.1783.6573.4784.4884.673WT4.5354.4520.1970.2183.3443.5094.4634.610WT4.4464.7540.1910.1623.6223.5404.5704.322WT4.2604.5850.2080.1873.4033.4984.4704.617IDT2.0282.00446.6345.462.5412.5862.0232.001IDT1.9921.96845.2846.992.5252.5571.9761.986IDT1.9912.00448.1947.582.5892.5452.0271.992IDT2.0151.96346.2545.132.5772.5381.9842.006IDT2.0491.99046.7645.972.6052.5612.0171.988Tmid7.3547.2803.2073.0676.6536.3027.3447.359Tmid7.5177.7603.2023.1716.6896.4667.4957.678Tmid7.5597.4553.1843.2606.3136.5227.4517.626Tmid7.4527.7903.1143.1386.6376.5807.6077.315Tmid7.2457.5953.3553.1806.3976.5067.4877.629
MAX = +5.6%MAX = +14.1%MAX = +3.9%MAX = +3.8%
MIN = -5.3%MIN = -15.2%MIN = -5.2%MIN = -4%
MAX = +2.5%MAX = +2.5%MAX = +2%MAX = +1.4%
MIN = -1.9%MIN = -4%MIN = -1.2%MIN = -1.2%
MAX = +3.9%MAX = +5.1%MAX = +2.6%MAX = +2.4%
MIN = -3.4%MIN = -3.9%MIN = -3.4%MIN = -2.5%
15. 4 станции, 32000 заявок, 10 экспериментов
1 2 = 0.5;1 3 = 0.5;2 4 = 1;3 4 = 1;
отбраковки нет
Ta = 5, Ts(1) = 3, Ts(2) = 3, Ts(3) = 3, Ts(4) = 3
По формулам:
1 станция2 станция3 станция4 станцияWT4.2684.4951.3101.2651.2261.3124.4064.330WT4.6084.6281.3101.3171.4081.3974.4964.49WT4.4594.4171.1841.3101.3321.4064.4474.498WT4.6424.5901.4011.3811.3801.2714.4994.770WT4.4174.3091.4331.3801.3571.2914.4014.531IDT2.0061.9996.9867.0487.0377.0342.0172.021IDT1.9821.9816.9326.9667.0476.8341.9941.972IDT2.0102.0597.2787.2256.8006.8881.9992.028IDT1.9942.0217.0036.8806.9177.1521.9981.974IDT1.9942.0017.0226.8046.8527.2022.0132.011Tmid7.2737.5044.3444.2434.2124.2867.3997.317Tmid7.6207.6054.3254.3144.3924.4367.4967.477Tmid