数学建模 航空公司的预订票策略

书上作业：P317 “取=0.75，t=50,100,150，其他参数同上，计算结果表明，当t增加时和均有所减少”写出程序及结果。模型求解求解的程序如下：n=300;lambda=0.6;p=0.05;bg=0.2;beta=0.75;t=50;nn=50;for m=n:n+nn j(m-n+1)=jm(m,n,lambda,p,bg,beta,t);endj其中函数程序为:function y=jm(m,n,lambda,p,bg,beta,t)q=1-p;bb=0:m-n-1;pk=pdf(bino,bb,m-t,p);temp=sum(m-n-bb).*pk);y=(q*m-(q-beta)*t-(1+bg)*temp)/(lambda* (n-(1-beta)*t)-1;求解的程序如下：n=300;nn=50;p=0.1;j=10;for m=n:n+nn pp(m-n+1)=pj(m,n,j,p);endpp其中函数程序为:function y=pj(m,n,j,p)bb=0:m-n-j-1;t=50;pk=pdf(bino,bb,m-t,p);y=sum(pk);取p=0.05，0.1；t=50,100,150；bg=0.2，0.4；j=5，10，得到计算结果。（对照书本上可将计算结果制定成表格）实验结果：表1 p=0,05时的计算结果mJp5P10bg=0.2bg=0.4t=50t=100t=150t=50t=100t=150t=50t=100t=150t=50t=100t=1503000.59420.60610.6190.59420.60610.6190000003010.59970.61180.62510.59970.61180.62510000003020.60520.61760.63110.60520.61760.63110000003030.61070.62330.6370.61070.62330.6370000003040.61620.6290.64270.61620.6290.64260000003050.62170.63460.64790.62170.63460.64770000003060.62710.640.65240.62710.63990.6519000.00030003070.63250.6450.6560.63240.64480.655200.00030.00290003080.63760.64950.65870.63750.64910.65720.00020.00170.01320003090.64250.65330.66030.64230.65260.65810.00090.00640.04020003100.64690.65630.66110.64650.65510.6580.00320.01890.09390003110.65080.65850.66120.65010.65670.65710.00910.0450.1797000.00033120.6540.65990.66080.6530.65730.65560.02190.09090.294900.00020.00233130.65660.66050.660.6550.65710.65380.04590.16050.42820.00020.00130.01083140.65840.66060.65910.65630.65630.65160.08540.25310.5640.00070.00530.03373150.65960.66030.6580.65670.6550.64940.14330.36310.68770.00260.01590.08083160.66020.65970.65680.65650.65330.6470.22010.48150.78970.00770.03870.15843170.66030.65880.65570.65570.65130.64470.31280.59770.86680.01880.07960.26583180.660.65790.65450.65440.64920.64230.41610.70270.92030.040.14310.39393190.65940.65680.65330.65280.6470.63990.52240.79080.9550.07560.22970.52843200.65870.65570.65210.6510.64480.63750.62470.85970.97590.12880.33490.65473210.65780.65460.65090.64910.64250.6350.71670.91020.98770.20060.45070.7623220.65680.65340.64970.6470.64020.63260.79460.94510.9940.28910.5670.84553230.65570.65230.64840.64490.63790.63020.85690.96790.99720.38940.67460.90533240.65470.65110.64720.64270.63560.62780.90410.9820.99880.49460.76690.9453250.65360.650.6460.64060.63330.62540.93820.99030.99950.59760.84080.96983260.65250.64880.64480.63840.6310.6230.96170.9950.99980.6920.89610.98423270.65140.64770.64360.63620.62870.62060.9770.99750.99990.77350.93520.99213280.65030.64650.64240.6340.62640.61820.98670.998810.83980.96140.99633290.64920.64540.64120.63180.62410.61570.99260.999410.89110.97790.99833300.64810.64420.640.62960.62180.61330.9960.999810.92870.98790.99933310.6470.64310.63880.62740.61950.61090.99790.999910.9550.99360.99973320.64590.64190.63760.62520.61720.60850.9989110.97270.99670.99993330.64480.64080.63640.6230.61490.60610.9995110.98390.998413340.64370.63960.63520.62080.61260.60370.9998110.99090.999213350.64260.63850.6340.61860.61030.60130.9999110.9950.999713360.64150.63730.63280.61630.6080.59890.9999110.99730.999813370.64040.63620.63160.61410.60570.59641110.99860.999913380.63930.6350.63030.61190.60340.5941110.9993113390.63820.63390.62910.60970.60110.59161110.9997113400.63710.63270.62790.60750.59880.58921110.9998113410.6360.63160.62670.60530.59650.58681110.9999113420.63490.63040.62550.60310.59420.58441111113430.63380.62930.62430.60090.59190.5821111113440.63270.62810.62310.59870.58960.57961111113450.63160.6270.62190.59650.58730.57711111113460.63050.62580.62070.59430.5850.57471111113470.62940.62470.61950.59210.58270.57231111113480.62830.62350.61830.58990.58040.56991111113490.62720.62240.61710.58770.57810.56751111113500.62610.62120.61590.58550.57580.5651111111表2 p=0.1时的计算结果mJp5P10bg=0.2bg=0.4t=50t=100t=150t=50t=100t=150t=50t=100t=150t=50t=100t=1503000.52170.54550.57140.52170.54550.57140000003010.5270.55090.57710.5270.55090.57710000003020.53220.55640.58290.53220.55640.58290000003030.53740.56180.58860.53740.56180.58860000003040.54260.56730.59430.54260.56730.59430000003050.54780.57270.60.54780.57270.60000003060.5530.57820.60570.5530.57820.60570000003070.55830.58360.61140.55830.58360.61140000003080.56350.58910.6170.56350.58910.6170000003090.56870.59450.62260.56870.59450.6226000.00010003100.57390.60.62810.57390.60.628000.00020003110.57910.60540.63330.57910.60540.6332000.00080003120.58430.61080.63830.58430.61080.63800.00010.00240003130.58960.61610.64290.58960.61610.642400.00020.00610003140.59480.62140.6470.59480.62130.646200.00050.01370003150.59990.62650.65050.59990.62640.649400.00140.0275000.00023160.60510.63140.65340.60510.63120.65180.00010.00310.0502000.00063170.61020.63610.65560.61020.63570.65350.00030.00660.0844000.00173180.61530.64040.65730.61520.63990.65440.00070.01280.132100.00010.00443190.62030.64440.65830.62020.64360.65470.00160.02330.193700.00040.01013200.62510.64780.65890.62490.64670.65440.00320.03980.268100.0010.02093210.62980.65080.6590.62950.64930.65360.00610.06390.35240.00010.00230.03913220.63420.65330.65880.63380.65120.65240.01110.09710.44250.00020.00490.06743230.63830.65520.65830.63780.65260.65080.01910.14060.53370.00050.00980.1083240.64210.65660.65750.64130.65330.6490.03110.19440.62130.00120.01820.1623250.64560.65760.65670.64450.65350.64710.04860.25790.70150.00240.03170.22923260.64860.65810.65570.64710.65320.6450.07250.32930.77180.00470.05180.30753270.65110.65830.65470.64920.65250.64290.1040.40610.83060.00870.08030.39373280.65330.65810.65360.65080.65140.64070.14360.48540.87790.01520.11830.48353290.65490.65770.65250.65190.65010.63840.19150.5640.91460.02520.16640.57223300.65620.65710.65140.65250.64850.63620.24720.6390.94190.03980.22440.65583310.6570.65640.65030.65260.64670.63390.30950.70790.96160.06040.29110.7313320.65750.65550.64910.65230.64480.63160.37690.76920.97530.08780.36450.79593330.65770.65460.6480.65170.64280.62930.44730.82190.98450.12310.44190.84953340.65760.65360.64690.65070.64080.6270.51840.86570.99050.16640.52030.89223350.65730.65260.64570.64940.63870.62480.58810.90110.99440.21770.59680.92493360.65680.65160.64460.6480.63650.62250.65430.92880.99670.27620.66860.94923370.65610.65050.64340.64640.63440.62020.71540.94990.99810.34050.73380.96653380.65540.64940.64230.64460.63220.61790.77010.96550.9990.40880.79110.97853390.65450.64840.64110.64280.630.61560.81790.97680.99940.47920.83980.98653400.65360.64730.640.64080.62790.61330.85850.98470.99970.54920.87990.99183410.65270.64620.63890.63890.62570.6110.89220.99010.99980.6170.91190.99