The Auction Algorithm for the Transportation Problem

نویسنده

  • Dimitri P. BERTSEKAS
چکیده

The auction algorithm is a parallel relaxation nictliod for solving the classical assignment problem. It resembles a competitive bidding process whereby unussigncd persons bid simultaneously for objects, thereby raising their prices. Once all bids arc in, objects arc awarded to the highest bidder. Tliis paper generalizes the auction :ilgoritliin to solve linear transportation problems. The idea is to convert the transportation problem into an assignment problem, and then to inodily the auction algorithm to exploit the special structure of this problem. Computational results sliow Ihat this modified version of the auction algorithm is very efficient for certain types of transportation problems.

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تاریخ انتشار 2005