【正文】
eve l at the pa rticula r loc a ti onEc he lon i nve ntory of the wa re house it e m 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: A little reflection shows that at least for the case of deterministic demand it never would make sense to have be anything but an integer multiple of . Therefore, we can think of two alternative decision variables and where () WQ RQnRQ... 3, 2, 1, ?? nn RW 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: The first stage cost The second stage cost The total cost ? ? ? ?rvvrvQ DArv DACC WRWRWRRWWWWWRRW ????????222,T R Crv DAC RRRRR2??rvQrv DAC WRWWWWW22 ??? 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: The warehouse echelon inventory is valued at while the retailer echelon inventory is valued at only WW vv ?39。WRR vvv ??39。39。39。WI39。39。39。39。39。39。39。39。239。 ??????? ???????? ?? WWRWRW vnAAnAvnv39。*WRRWvAvAn ? 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Ascertain and where and are the two integers surrounding the Whichever gives the lower value of F is the appropriate n to use (because the F function is convex in n). ? ?1nF ? ?2nF 1n 2n*n 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: Step 1 Compute Step 2 Ascertain the two integer values, and , that surround . 39。*WRRWvAvAn ?1n 2n*n 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: Step 3 ? ? ? ?39。111 RWWR vvnnAAnF ????????? ??? ? ? ?39。222 RWWR vvnnAAnF ????????? ??? ? ? ? 121 u s e , If nnnFnF ??? ? ? ? 221 u s e , If nnnFnF ?? 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Twostage process: Step 4 Step 5 ? ?rvnvDnAAQRWWRR 39。2??????? ??RW n ? 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example 1: Let us consider a particular liquid product that a firm buys in bulk, then breaks down and repackages. So in this case, the warehouse corresponds to the inventory prior to the repackaging operation, and the retailer corresponds to the inventory after the repackaging operation. The demand for this item can be assumed to be essentially deterministic and level at a rate of 1000 liters per year. 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example 1: The unit value of the bulk material or is $1/liter, while the value added by the transforming (break and package) operation is $4/liter. The fixed ponent of the purchase charge ( ) is $10, while the setup cost for the break and repackage operation ( ) is $15. Finally, the estimated carrying charge is $/$/yr. WARAWv 39。 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example 1: Step 1: Step 2: 11 ?n 410* ????n22 ?n 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example 1: Step 3: that is, Thus, use n = 2. ? ? ? ? 12541110151 ???????? ??F? ? ? ? 120412210152 ????????? ??F? ? ? ?21 FF ? 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example: Step 4: Step 5: ? ?l i t e r s 1671000210152??????????? ???RQl i t e rs 3 3 41 6 72 ???WQ 全國領(lǐng)先的工作效率提升平臺 Two Stage Echelon Inventory Example 1: In other words, we purchase 334 liters at a time。t sell. His outofpocket expense is 25 cents ? 10 cents = 15 cents. Suppose on the other hand, he is un