1 / 15

Balancing Trip Matrix: Adjusting Initial Guess for Column and Row Sums

This document explores the process of balancing a trip matrix through the application of balancing factors. Initially, an estimated column sum and row sum are provided. By calculating the balancing factors based on desired sums, adjustments are made to the initial guess. The paper details the iterative process used to achieve an exactly balanced rowsum and column sum, highlighting changes in the balancing factors and their effects on matrix values. Key methods and calculations are thoroughly explained, leading to an optimized trip matrix representation.

pier
Télécharger la présentation

Balancing Trip Matrix: Adjusting Initial Guess for Column and Row Sums

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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!

More Related