..OBJECTIVE MINIMIZE

1 ( 33 [x1] ] + 15 [ [ x2 ] + 18 [ x3] ] + 24 [ [ x4] ] + 39 [ [ x5] ] + 6 [ [ x6] ] + 24 [ [ x7]] + 6 [ [ x8] ] + 15 [ [ x9] ] + 3 [ [ x10] ] + 3 [ [x11] ] + 9 [ [ x12] ] + 6 [ [ xl3] ] + 9 [ [xl4] ] + 24 [ [ xl5] ] + 12 [ [ xl6 ]] )

..CONSTRAINTS

* constraint for sum(Xi) = N

x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14 + x15 + x16 = 2

* constraint for Xi - Xj -Pij + Nij = 0

x1 - x2 - p12 + n12 = 0

x1 - x5 - p15 + n15 = 0

x2 - x1 - p21 + n21 = 0

x2 - x3 - p23 + n23 = 0

x2 - x6 - p26 + n26 = 0

x3 - x2 - p32 + n32 = 0

x3 - x4 - p34 + n34 = 0

x3 - x7 - p37 + n37 = 0

x4 - x3 - p43 + n43 = 0

x4 - x8 - p48 + n48 = 0

x5 - x1 - p51 + n51 = 0

x5 - x6 - p56 + n56 = 0

x5 - x9 - p59 + n59 = 0

x6 - x2 - p62 + n62 = 0

x6 - x5 - p65 + n65 = 0

x6 - x7 - p67 + n67 = 0

x6 - x10 - p610 + n610 =0

x7 - x3 - p73 + n73 = 0

x7 - x6 - p76 + n76 = 0

x7 - x8 - p78 + n78 = 0

x7 - x11 - p711 +n711 = 0

x8 - x4 - p84 + n84 = 0

x8 - x7 - p87 + n87 = 0

x8 - x12 - p812 + n812 = 0

x9 - x5 - p95 + n95 = 0

x9 - x10 - p910 + n910 = 0

x9 - x13 - p913 + n913 = 0

x10 - x6 - p106 + n106 = 0

x10 - x9 - p109 + n109 = 0

x10 - x11 - p1011 + n1011 = 0

x10 - x14 - p1014 + n1014 = 0

x11 - x7 - p117 + n117 = 0

x11 - x10 - p11100 + n1110 = 0

x11 - x12 - p1112 + n1112 = 0

x11 - x15 - p1115 + n1115 = 0

x12 - x8 - p128 + n128 = 0

x12 - x11 - p1211 + n1211 = 0

x12 - x16 - p1216 + n1216 = 0

x13 - x9 - p139 + n139 = 0

x13 - x14 - p1314 + n1314 = 0

x14 - x10 - p1410 + n1410 = 0

x14 - x13 - p1413 + n1413 = 0

x14 - x15 - p1415 + n1415 = 0

x15 - x11 - p1511 + n1511 = 0

x15 - x14 - p1514 + n1514 = 0

x15 - x16 - p1516 + n1516 = 0

x16 - x12 - p1612 + n1612 = 0

x16 - x15 - p1615 + n1615 = 0

* constraint for sum (Pi+Ni) = L

p12 + n12 + p15 + n15 + p21 + n21 p23 + n23 + p26 + n26 + p32 + n32 +

p34 + n34 + p737 + n37 + p43 + n43 + p48 + n48 + p51 + n51 + p56 + n56 + p59 +

n59 + p62 + n62 + p65 + n65 + p67 + n67 + p610 + n610 + p73 + n73 + p76 + n76

+ p78 + n78 + p711 + n711 + p84 + n84 + p87 + n87 + p812 + n812 + p95 + n95 +

p910 + n910 + p913 + n913 + p106 + n106 + p109 + n109 + p1011 + n10111 + p1014

+ n1014 + p117 + n117 + p1110 + n1110 + p1112 + n1112 + p1115 + n1115 + p128 +

n128 + p1211 + n1211 + p1216 + n1216 + p139 + n139 + p1314 + n1314 + p1410 +

n1410 + p1413 + n1413 + p1415 + n1415 + p1511 + n1511 + p1514 + n1514 + p1516

+ n1516 + p1612 + n1612 + p1615 + n1615 = 12