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The Truck Dispatching Problem

Author

Listed:
  • G. B. Dantzig

    (The RAND Corporation, Santa Monica, California)

  • J. H. Ramser

    (The Atlantic Refining Company, Philadelphia, Pennsylvania)

Abstract
The paper is concerned with the optimum routing of a fleet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal. The shortest routes between any two points in the system are given and a demand for one or several products is specified for a number of stations within the distribution system. It is desired to find a way to assign stations to trucks in such a manner that station demands are satisfied and total mileage covered by the fleet is a minimum A procedure based on a linear programming formulation is given for obtaining a near optimal solution. The calculations may be readily performed by hand or by an automatic digital computing machine. No practical applications of the method have been made as yet. A number of trial problems have been calculated, however.

Suggested Citation

  • G. B. Dantzig & J. H. Ramser, 1959. "The Truck Dispatching Problem," Management Science, INFORMS, vol. 6(1), pages 80-91, October.
  • Handle: RePEc:inm:ormnsc:v:6:y:1959:i:1:p:80-91
    DOI: 10.1287/mnsc.6.1.80
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