【正文】
x. level + Min. level)/2 =(Q+0)/2=Q/2 ? TVC=annual setup cost + annual holding cost = k(D/Q)+h(Q/2) ACT Inventory Cost D Q K($) h ($) k (D/Q) ($) h (Q/2) ($) TVC ($) 6000 1000 115 690 2100 2790 6000 1500 115 460 3100 3560 6000 500 115 1380 1050 2430 準(zhǔn)備成本 持有成本 年總成本 Summary ? With different Q, TVC is different. ? There exists optimal Q making TVC minimum. ? How to find the optimal Q? 167。 the optimal inventory policy for the basic EOQ model 基本 EOQ模型的最優(yōu)庫存策略 Optimal order quantity ? Min TVC=k(D/Q)+h(Q/2) Let ? Then, Q*= hKD2 022 ????hQkDdQdTVCResult Analysis ? Original Q=1000 tires, now Q*=573 ? Nearly 43 percent reduction in average inventory levels. ? 14 percent reduction in the total variable cost. ( original $2790, now $2407) ? 準(zhǔn)備次數(shù)由原來的 6次升到了 Sensitivity Analysis ? The accuracy of optimal order quantity depends on the accuracy of the data that went into the analysis. ? Each of these data (k,h) could be off by as much as 10 percent in either direction. ? Setup cost: $ to $ ? Unit holding cost: $ to $ ? Q*=573 The EOQ model with planned shortages 有計劃缺貨的 EOQ模型 167。 42 The EOQ model with planned shortages ? TVC=年準(zhǔn)備成本 +年持有成本 +年缺貨成本 年準(zhǔn)備成本 = 年持有成本 =h (庫存水平為正時的平均庫存水平 ) (正庫存水平所占時間比例 ) = 年缺貨成本 =p (當(dāng)缺貨出現(xiàn)時的平均缺貨水平 ) (缺貨所占的時間比例 ) = DKQ2()( ) ( )22Q S Q S Q Shh? ? ??2( ) ( )22S S Spp?The EOQ model with planned shortages 2 2()22QSDST V C K h pQ Q Q?? ? ?* 2hp KDQph??**()hSQhp? ?演講完畢,謝謝觀看!