ÐÏࡱá>þÿ  þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿof backlogged demand; ENDSETS DATA: ! Delivery time to outlet from depot(days); D2OUTL = 3 7 3 3 9; ! Expected demand/day; DEM = .068 .05 .074 .063 .038; ! Probability item can be repaired at outlet; PREP= .2 .2 .2 .25 .1; ! Repair time at outlet, if repairable; REPT= 3 3 3 3 3; ! Stock levels to allocate over all outlets; SOUTOTL = 5; ! at the depot; SDEPOT = 0; ! Resupply time at depot; RDEPOT = 9; ENDDATA !---------------------------------------------; ! Compute total demand at depot; DEM0 = @SUM( OUTLET: DEM * ( 1 - PREP)); ! Effective expected wait at depot; EWT0 = @PPL( DEM0 * RDEPOT, SDEPOT)/ DEM0; @FOR( OUTLET( I): ! Estimate resupply time including depot delay; ERT( I) = D2OUTL( I) + EWT0; ! Expected demand on backorder; AL( I) = @PPL( DEM( I)* ( 1 - PREP( I)) * ERT( I) + DEM( I) * PREP( I) * REPT( I), SOUTLET( I)); ! Can stock only integer quantities; @GIN( SOUTLET( I)); ); ! Total expected demand on backorder; TBACK = @SUM( OUTLET: AL); ! Limit on stock at outlets; @SUM( OUTLET( I): SOUTLET( I)) <= SOUTOTL; ! Minimize expected backorders; MIN = TBACK; END MODEL: ! Two level inventory model with possible repair at outlet; ! Compute average units on backorder, TBACK, for given limit on depot stock and stock available for outlets, using a base stock policy; SETS: OUTLET/1..5/: ! Each outlet has a...; D2OUTL, ! Resupply time from depot to outlet; DEM, ! Demand rate at outlet; PREP, ! Prob item can be repaired at outlet; REPT, ! Repair time at outlet; SOUTLET, ! Stock level; ERT, ! Effective resupply time from depot; AL; ! 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Can stock only integer quantities;\cf2 \par \cf1 @GIN\cf2 ( SOUTLET( I)); \par ); \par \cf3 ! Total expected demand on backorder;\cf2 \par TBACK = \cf1 @SUM\cf2 ( OUTLET: AL); \par \cf3 ! Limit on stock at outlets;\cf2 \par \cf1 @SUM\cf2 ( OUTLET( I): SOUTLET( I)) <= SOUTOTL; \par \cf3 ! Minimize expected backorders;\cf2 \par \cf1 MIN\cf2 = TBACK; \par \cf1 END\cf2 \par \par } ì‹{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Courier New;}} {\colortbl ;\red0\green0\blue255;\red0\green0\blue0;\red0\green175\blue0;} \viewkind4\uc1\pard\cf1\f0\fs20 MODEL\cf2 : \par \cf3 ! Two level inventory model with possible repair at outlet;\cf2 \par \cf3 ! Compute average units on backorder, TBACK, for given limit on depot stock and stock available for outlets, using a base stock policy;\cf2 \par \cf1 SETS\cf2 : \par OUTLET/1..5/: \cf3 ! Each outlet has a...;\cf2 \par D2OUTL, \cf3 ! Resupply time from depot to outlet;\cf2 \par DEM, \cf3 ! Demand rate at outlet;\cf2 \par PREP, \cf3 ! Prob item can be repaired at outlet;\cf2 \par REPT, \cf3 ! Repair time at outlet;\cf2 \par SOUTLET, \cf3 ! Stock level;\cf2 \par ERT, \cf3 ! Effective resupply time from depot;\cf2 \par AL; \cf3 ! Average level of backlogged demand;\cf2 \par \cf1 ENDSETS\cf2 \par \cf1 DATA\cf2 : \par \cf3 ! Delivery time to outlet from depot(days);\cf2 \par D2OUTL = 3 7 3 3 9; \par \cf3 ! Expected demand/day;\cf2 \par DEM = .068 .05 .074 .063 .038; \par \cf3 ! Probability item can be repaired at outlet;\cf2 \par PREP= .2 .2 .2 .25 .1; \par \cf3 ! Repair time at outlet, if repairable;\cf2 \par REPT= 3 3 3 3 3; \par \cf3 ! Stock levels to allocate over all outlets;\cf2 \par SOUTOTL = 5; \cf3 ! at the depot;\cf2 \par SDEPOT = 0; \cf3 ! Resupply time at depot;\cf2 \par RDEPOT = 9; \par \cf1 ENDDATA\cf2 \par \cf3 !---------------------------------------------;\cf2 \par \cf3 ! Compute total demand at depot;\cf2 \par DEM0 = \cf1 @SUM\cf2 ( OUTLET: DEM * ( 1 - PREP)); \par \cf3 ! Effective expected wait at depot;\cf2 \par EWT0 = \cf1 @PPL\cf2 ( DEM0 * RDEPOT, SDEPOT)/ DEM0; \par \cf1 @FOR\cf2 ( OUTLET( I): \par \cf3 ! Estimate resupply time including depot delay;\cf2 \par ERT( I) = D2OUTL( I) + EWT0; \par \cf3 ! Expected demand on backorder;\cf2 \par AL( I) = \par \cf1 @PPL\cf2 ( DEM