单服务员的排队模型.docx

1、单服务员的排队模型单服务员的排队模型：在某商店有一个售货员，顾客陆续来到，售货员逐个地接待顾客当到来的顾客较多时，一部分顾客便须排队等待，被接待后的顾客便离开商店设： 1顾客到来间隔时间服从参数为0.1的指数分布对顾客的服务时间服从，上的均匀分布排队按先到先服务规则，队长无限制（1）模拟100个工作日，求出平均每日完成服务的个数及每日顾客的平均等待时间 MATLAB程序：clearsm=0;%总工作时间，初始为0m=0;%服务总个数for j=1:100 j w(j)=0; i=2;x(i)=exprnd(10);c(i)=x(i);b(i)=x(i);while b(i)=480 y(i)=

2、unifrnd(4,15); e(i)=b(i)+y(i); w(j)=w(j)+b(i)-c(i); i=i+1; x(i)=exprnd(10); c(i)=c(i-1)+x(i); b(i)=max(c(i),e(i-1); end i=i-2;t=w(j)/i %每j日顾客的平均等待时间m=m+i;sm=sm+w(j);%总的等待时间endm ; %100日服务总个数am=m/100 %输出平均每日完成服务的个数at= sm/m %输出平均每日顾客平均等待时间运行结果：j = 1t = 7.6488j = 2t = 21.5629j = 3t = 48.0306j = 4t = 15.

3、3583j = 5t = 29.0681j = 6t = 43.9925j = 7t = 9.1838j = 8t = 29.3542j = 9t = 37.3775j = 10t = 36.6198j = 11t = 15.1372j = 12t = 11.9697j = 13t = 46.2765j = 14t = 5.0990j = 15t = 12.4896j = 16t = 19.3674j = 17t = 27.7045j = 18t = 13.7486j = 19t = 24.3442j = 20t = 10.8663j = 21t = 8.0429j = 22t = 10.37

4、23j = 23t = 11.8501j = 24t = 14.3409j = 25t = 46.0177j = 26t = 8.8139j = 27t = 5.3630j = 28t = 12.8179j = 29t = 7.2817j = 30t = 11.1612j = 31t = 9.3863j = 32t = 62.4873j = 33t = 13.0453j = 34t = 21.7910j = 35t = 16.5294j = 36t = 12.2347j = 37t = 24.9796j = 38t = 78.2435j = 39t = 24.3057j = 40t = 15.

5、2035j = 41t = 46.8024j = 42t = 56.4635j = 43t = 37.1819j = 44t = 18.2931j = 45t = 55.0295j = 46t = 35.6992j = 47t = 24.6073j = 48t = 12.9206j = 49t = 15.4886j = 50t = 17.0108j = 51t = 20.9452j = 52t = 21.8094j = 53t = 75.8497j = 54t = 25.1111j = 55t = 34.9260j = 56t = 32.5712j = 57t = 27.9767j = 58t

6、 = 29.5067j = 59t = 29.4701j = 60t = 19.2476j = 61t = 16.3576j = 62t = 8.8686j = 63t = 29.0910j = 64t = 14.7117j = 65t = 36.7096j = 66t = 46.9512j = 67t = 7.7582j = 68t = 11.8390j = 69t = 43.2197j = 70t = 97.6024j = 71t = 70.4187j = 72t = 8.5048j = 73t = 4.1632j = 74t = 18.7508j = 75t = 41.1622j = 7

7、6t = 28.1712j = 77t = 56.6012j = 78t = 45.1566j = 79t = 12.9582j = 80t = 6.6022j = 81t = 19.3046j = 82t = 26.1914j = 83t = 8.4448j = 84t = 18.3721j = 85t = 18.1843j = 86t = 41.0727j = 87t = 7.7466j = 88t = 54.3138j = 89t = 22.9150j = 90t = 68.9592j = 91t = 11.5373j = 92t = 14.4600j = 93t = 27.6556j = 94t = 41.1297j = 95t = 24.8645j = 96t = 36.2404j = 97t = 5.2884j = 98t = 7.2035j = 99t = 25.1523j = 100t = 24.6979am = 44.1400at = 27.1289