ÐÏࡱá>þÿ  þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ @FOR(PACKS3: P3 <= 1); @FOR(PACKS4: P4 <= 1); !This constrains the sum of packages used to only include each object once; !It actually only constrains 2 and 3 object packages which is sufficient; !the length is due to the sparse sets that were used; @FOR(OBJECTS(I): @SUM(OBJECTS(J)| (I #EQ# 1 #AND# J #GE# 2 #AND# J #LE# 8) #OR# (I #EQ# 3 #AND# J #GE# 4 #AND# J #LE# 6) #OR# (J #EQ# 5 #AND# I #EQ# 4) : P2(I, J)) + @SUM(OBJECTS(J)| (J #EQ# 1 #AND# I #GE# 2 #AND# I #LE# 8) #OR# (J #EQ# 3 #AND# I #GE# 4 #AND# I #LE# 6) #OR# (I #EQ# 5 #AND# J #EQ# 4) : P2(J, I)) + @SUM(TOTAL2(J, K)|(I #EQ# 2 #AND# ((J #EQ# 7 #AND# (K #EQ# 8 #OR# K #EQ# 9)) #OR# (J #EQ# 8 #AND# K #EQ# 9))) #OR# (I #EQ# 3 #AND# J #EQ# 7 #AND# K #EQ# 8) #OR# (I #EQ# 4 #AND# J #EQ# 6 #AND# K #EQ# 7): P3(I, J, K)) + @SUM(TOTAL2(J, K)|(J #EQ# 2 #AND# ((I #EQ# 7 #AND# (K #EQ# 8 #OR# K #EQ# 9)) #OR# (I #EQ# 8 #AND# K #EQ# 9))) #OR# (J #EQ# 3 #AND# I #EQ# 7 #AND# K #EQ# 8) #OR# (J #EQ# 4 #AND# I #EQ# 6 #AND# K #EQ# 7): P3(J, I, K)) + @SUM(TOTAL2(J, K)|(J #EQ# 2 #AND# ((K #EQ# 7 #AND# (I #EQ# 8 #OR# I #EQ# 9)) #OR# (K #EQ# 8 #AND# I #EQ# 9))) #OR# (J #EQ# 3 #AND# K #EQ# 7 #AND# I #EQ# 8) #OR# (J #EQ# 4 #AND# K #EQ# 6 #AND# I #EQ# 7): P3(J, K, I)) <= 1); END MODEL: SETS: OBJECTS/A, B, C, D, E, F, G, H, I/:; TOTAL2(OBJECTS, OBJECTS):; PACKS2(OBJECTS, OBJECTS)/A,B A,C A,D A,E A,F A,G, A,H C,D C,E C,F D,E/: P2; PACKS3(OBJECTS, OBJECTS, OBJECTS)/B,G,H B,G,I B,H,I, C,G,H D,F,G/: P3; PACKS4(OBJECTS, OBJECTS, OBJECTS, OBJECTS)/D,F,H,I, E,F,G,H/: P4; ENDSETS !sum of the packages used; MAX = @SUM(PACKS2: P2) + @SUM(PACKS3: P3) + @SUM(PACKS4: P4); @SUM(PACKS2(I, J): 2 * P2) + @SUM(PACKS3: P3 * 3) + @SUM(PACKS4: P4 * 4) = 9; @FOR(PACKS2: P2 <= 1);þÿÿÿýÿÿÿþÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot EntryÿÿÿÿÿÿÿÿJCONTENTSÿÿÿÿÿÿÿÿÿÿÿÿJÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ*0_šîÏ»òÀð^F2lfþÄ Contentsÿÿÿÿÿÿÿÿÿÿÿÿç ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿýÿÿÿþÿÿÿþÿÿÿ  ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ  !"#$%&'þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ#AND# K #EQ# 9))) #OR# \par (J #EQ# 3 #AND# I #EQ# 7 #AND# K #EQ# 8) #OR# \par (J #EQ# 4 #AND# I #EQ# 6 #AND# K #EQ# 7): \par P3(J, I, K)) + \par \cf1 @SUM\cf2 (TOTAL2(J, K)|(J #EQ# 2 #AND# ((K #EQ# 7 #AND# \par (I #EQ# 8 #OR# I #EQ# 9)) #OR# \par (K #EQ# 8 #AND# I #EQ# 9))) #OR# \par (J #EQ# 3 #AND# K #EQ# 7 #AND# I #EQ# 8) #OR# \par (J #EQ# 4 #AND# K #EQ# 6 #AND# I #EQ# 7): \par P3(J, K, I)) <= 1); \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 \cf1 SETS\cf2 : \par OBJECTS/A, B, C, D, E, F, G, H, I/:; \par TOTAL2(OBJECTS, OBJECTS):; \par PACKS2(OBJECTS, OBJECTS)/A,B A,C A,D A,E A,F A,G, A,H C,D C,E C,F D,E/: P2; \par PACKS3(OBJECTS, OBJECTS, OBJECTS)/B,G,H B,G,I B,H,I, C,G,H D,F,G/: P3; \par PACKS4(OBJECTS, OBJECTS, OBJECTS, OBJECTS)/D,F,H,I, E,F,G,H/: P4; \par \cf1 ENDSETS\cf2 \par \cf3 !sum of the packages used;\cf2 \par \cf1 MAX\cf2 = \cf1 @SUM\cf2 (PACKS2: P2) + \cf1 @SUM\cf2 (PACKS3: P3) \par + \cf1 @SUM\cf2 (PACKS4: P4); \par \cf1 @SUM\cf2 (PACKS2(I, J): 2 * P2) + \cf1 @SUM\cf2 (PACKS3: P3 * 3) \par + \cf1 @SUM\cf2 (PACKS4: P4 * 4) = 9; \par \cf1 @FOR\cf2 (PACKS2: P2 <= 1); \cf1 @FOR\cf2 (PACKS3: P3 <= 1); \par \cf1 @FOR\cf2 (PACKS4: P4 <= 1); \par \cf3 !This constrains the sum of packages used to only include each object once;\cf2 \par \cf3 !It actually only constrains 2 and 3 object packages which is sufficient;\cf2 \par \cf3 !the length is due to the sparse sets that were used;\cf2 \par \cf1 @FOR\cf2 (OBJECTS(I): \cf1 @SUM\cf2 (OBJECTS(J)| (I #EQ# 1 #AND# \par J #GE# 2 #AND# J #LE# 8) #OR# \par (I #EQ# 3 #AND# J #GE# 4 #AND# J #LE# 6) #OR# \par (J #EQ# 5 #AND# I #EQ# 4) : P2(I, J)) + \par \cf1 @SUM\cf2 (OBJECTS(J)| \par (J #EQ# 1 #AND# I #GE# 2 #AND# I #LE# 8) #OR# \par (J #EQ# 3 #AND# I #GE# 4 #AND# I #LE# 6) #OR# \par (I #EQ# 5 #AND# J #EQ# 4) : P2(J, I)) + \par \cf1 @SUM\cf2 (TOTAL2(J, K)|(I #EQ# 2 #AND# \par ((J #EQ# 7 #AND# (K #EQ# 8 #OR# K #EQ# 9)) #OR# \par (J #EQ# 8 #AND# K #EQ# 9))) #OR# \par (I #EQ# 3 #AND# J #EQ# 7 #AND# K #EQ# 8) #OR# \par (I #EQ# 4 #AND# J #EQ# 6 #AND# K #EQ# 7): \par P3(I, J, K)) + \par \cf1 @SUM\cf2 (TOTAL2(J, K)|(J #EQ# 2 #AND# ((I #EQ# 7 #AND# \par (K #EQ# 8 #OR# K #EQ# 9)) #OR# \par (I #EQ# 8