BENEFIT-COST ANALYSIS OF CODING TECHNIQUES FOR THE PRIMAL TRANSPORTATION ALGORITHM

A COMPUTER CODE FOR THE TRANSPORTATION PROBLEM THAT IS EVEN MORE EFFICIENT THAN THE PRIMAL-DUAL METHOD IS DEVELOPED. THE CODE USES THE WELL-KNOWN (PRIMAL) MODI METHOD AND IS DEVELOPED BY A BENEFIT-COST INVESTIGATION OF THE POSSIBLE STRATEGIES FOR FINDING AN INITIAL SOLUTION, CHOOSING THE PIVOT ELEMENT, FINDING THE STEPPING-STONE TOUR, ETC. A MODIFIED ROW MINIMUM START RULE, THE ROW MOST NEGATIVE RULE FOR CHOICE OF PIVOT, AND A MODIFIED FORM OF THE PREDECESSOR INDEX METHOD FOR LOCATING STEPPING-STONE TOURS WERE FOUND TO PERFORM BEST AMONG THE STRATGIES EXAMINED. EFFICIENT METHODS ARE DEVISED FOR THE RELABELING THAT IS INVOLVED IN MOVING FROM ONE SOLUTION TO ANOTHER. AN INVESTIGATION OF THE EFFECT ON MEAN SOLUTION TIME OF THE NUMBER OF SIGNIFICANT DIGITS USED FOR THE PARAMETERS OF THE PROBLEM INDICATES THAT THE COST PARAMETERS HAVE A MORE SIGNIFICANT EFFECT THAN THE RIM PARAMETERS AND THAT THE SOLUTION TIME "SATURATES" AS THE NUMBER OF SIGNIFICANT DIGITS IS INCREASED. THE MINIMUM COST EFFECT IS ILLUSTRATED AND EXPLAINED. DETAILED BREAKUP OF THE SOLUTION TIMES FOR BOTH TRANSPORTATION AND ASSIGNMENT PROBLEMS OF DIFFERENT SIZES IS PROVIDED. THE PAPER CONCLUDES WITH A STUDY OF RECTANGULAR SHAPED PROBLEMS. /AUTHOR/

  • Authors:
    • Sprinivasan, V
    • Thompson, G L
  • Publication Date: 1973-4

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Filing Info

  • Accession Number: 00202340
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 12 1973 12:00AM