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Balancing a trip matrix

Balancing a trip matrix. Initial guess. Column sum. Row sum. Doubly constrained model. Desired Column sum Dj. Desired Row sum Oi. Balancing factor. 11/6=1.8333. Balancing factor. 11/6=1.8333. We need to multiply first row with 1.8333. Balancing factor.

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Balancing a trip matrix

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  1. Balancing a tripmatrix

  2. Initial guess

  3. Columnsum Rowsum

  4. Doublyconstrainedmodel Desired Columnsum Dj Desired Rowsum Oi

  5. Balancingfactor

  6. 11/6=1.8333 Balancingfactor

  7. 11/6=1.8333 Weneed to multiply first row with 1.8333 Balancingfactor

  8. ApplyingbalancingfactorAi on initial guess, we get a new tripmatrix in the first iteration Exactlybalanced Rowsum

  9. ApplyingbalancingfactorAi on initial guess, we get a new tripmatrix in the first iteration Columnsum still off Exactlybalanced Rowsum

  10. ApplyingbalancingfactorAi on initial guess, we get a new tripmatrix in the first iteration Balancingfactor Bj Exactlybalanced Rowsum

  11. ApplyingbalancingfactorAi on initial guess, we get a new tripmatrix in the first iteration Balancingfactor Bj 13/11.309=1.149 Exactlybalanced Rowsum

  12. Columnsum exactlybalanced

  13. Columnsum exactlybalanced Butnow Rowsumoff!

  14. New balancingfactors for the rows Butnow Rowsumoff!

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