营销定量决策模型—第九章 库存模型

InventoryManagement••••••••••••••••(EconomicOrderQuantityModel,EOQ)=100Q=3500=50/571214=2SQDHQPCHCTC+=+=2HCPCQHQ2SQDHQTC+=2SQDQQ*DSDSQ22==∗FPHQ—H—D—S—P—F—Q‘Q,DSFPDPTC2+=∗TDQT∗=•n•t∗nQnQnnQQ≥∗∗∗=nQQ∗tQ00=QtQnQ1Q00=PtPnP1Pt=t-12t=01+∗≤≤tttQQQ∗tQ1+tQ∗tTC1+tTC∗tTC1+tTC1+∗≥ttTCTC1+∗=tQQttQQ∗A10A161000A8A•50009•800080120500080001614.412.8122155905.08.12100010000022=×××=∗Q8000559022==∗QQ52705.04.14100010000021=×××=∗Q)8000()5270()5000(211QQQ∗2111+×=∗DSFPPDTC)(14779474.145.0100010000024.14100000=××××+×=)(131810028.125.08000800010001000008.12100000222222=××+×+×=××+×+×=PFQQSDPDTC88000∗12TCTC)(8000=∗Qt01tQV2tVQtBCBt1t2ABBHHDSQ+=∗2+=+=∗∗BHBQBHBHDSV2[]qQHPPDqHHSDPPDQ−+−×=−××+−=∗∗21212)(2)(P1P2A71A10711160170,A2500A5A1.2.)(48505.01701000100000222*2=×××=××=FPSDQ)(12.93651000002500=×=M79575q0EconomicProductQuantityEPQ,EOQEPQEPQEOQ125210000/23505250010%)100(250.1250052PF2SDQ*=×××==)(627501005.2252500**=×+×=+=HQDPTC)(3812==PF(p-r)SDoQp*)(58156)(**=−+=poHQrpDPTC4594*2()()DSPHprQ′′−=*pQ′DLBNrL′′=′′=**()prHQTCpDP′′−′=+=++∑∑∑===−++=miiiiiimiimiiipHDrpnsnPDTC111')(21∑∑==−=miimiiiiiispHDrp1102)(n∑∑∑∑====∗+=−+=mimiiiimimiiiiiiiisnPDpHDrpnPDTC110'110'''2)(1Q+S0SBQ+S0SB%=/SSLZSSDσ=LZDσ68.3%95.4%99.7%406080100120140160Z-3-2-1012350%84.1%97.9%99.87%Z2.097.73.099.91.694.52.699.51.390.32.398.90.084.4ZZSSLZdSSσ=dZLσ,SSL:ZDσLσd222LDdLZSSσσ+=101012001020324.05206481.00324.05×201200201200165184.80324.05×1648025%10480012001200206481.0020960024001200165184.80301440036001200123888.6040192004800120082592.4050240006000120061944.3060288007200120041296.207033600840012003972.15