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I am struggling with a variation of the traveling sales man problem but with a limit that the vehicle can only visit 6 or 7
I am struggling with a variation of the traveling sales man problem but with a limit that the vehicle can only visit 6 or 7 customers before having to come back to depot and going back out.
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Distance Matrix for Webvan Deliveries Cust Cust Cust Cust Cust Cust Cust Cust Cust Cust Cust Cust Cust Route To Travel Distance 9 10 11 1213 DC1 1000 12 DC Cust 1 Cust 2 Cust 3 Cust 4 Cust 5 Cust 6 Cust 7 Cust 8 Cust 9 Cust 10 Cust 11 Cust 12 Cust 13 8 17520 17 6 1621 115 9 17 23 227182328 22 27 912 1481420 4 14 202019 22 22 26 24 30 410001 16161620 922 228 91114 22 7| 16| 23 6 12 20 12 1000 HW3 9100010 8 1000014 9 1513 17 15 17 20 23 15 20 16 17 22 132016 914 10006 6 10004 14 20 The vehicle can only deliver to 6 or 7 customers before it must return to the depot, then it must go out and deliver to the remaining 7 or 6 4 1000 016 8 17 9 19 1611 14 0 1000 81 5 1 6 100014 19 8 14 1000 6 1812 220 1720 16 16 23 14 2219 21 28 18 26221 1122 14 24 21 15 27 200 282223 20 12 916 100013 20 6 1319 14 16 12 9131000 91620 8 1000 array is the distance matrix, 14x14 label for DC is 0, but in the array is it 1 label for Cust 1 is 1, but in array it is 2, because DC is 1 T4+1 is the index for the DC-this is the "from" point TS+1 is the index for the DC-this is the "to" point so for the first stop "9", it looks up the matrix ID 10 Route To Travel Distance 97 INDEX(SC$4:SPS17,T4+1,T5+1) 13 INDEX(array, row-num, [column num All Solver engines in the Premium Solver Platform supports this new type of constraint. The Branch & Bound process used by the LP/Quadratic and GRG nonlinear Solvers is extended to handle "alldifferent" constraints as a native type, and the hybrid Evolutionary/Classical Solver implements these constraints using mutation and crossover operators for permutations." http://www.solver.com/premium-solver-platform-excel-alldifferentStep by Step Solution
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