Modified Evans' algorithms for solving the combined trip distribution and assignment problem

Hai Jun Huang, Hing Keung William Lam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)


Horowitz (1989) proposed a modification of Evans' algorithm for solving the combined trip distribution and assignment model with a reduction in computational time and memory, but without proof of convergence. It is shown here that his modified algorithm does not always converge to the optimal solution; in fact, it may fail in two of the total of seven possible cases. In these two cases either the iterative scheme falls into a deadlock or the new feasible solution is worse than the old one. On this basis another modified algorithm which first identifies the cases and then solves them by Horowitz's modification or Evans' original approach is presented. This new algorithm always converges to the correct solution and needs less computational time than Evans' method, but slightly more than Horowitz's modification. Computational results of the three algorithms on test networks are reported and their effectiveness compared.
Original languageEnglish
Pages (from-to)325-337
Number of pages13
JournalTransportation Research Part B
Issue number4
Publication statusPublished - 1 Jan 1992

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Transportation

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