SOME MATHEMATICAL ASPECTS OF THE PARKING PROBLEM

ONE OF THE PROBLEMS IN QUEUING THEORY IS DETERMINING THE PROBABILITY AT A GIVEN MOMENT OF TOTAL OCCUPANCY OF A FINITE NUMBER OF POSITIONS IN A FIXED AREA GIVEN RANDOM ARRIVALS AND RANDOM DEPARTURES, THE SO-CALLED "SWITCHBOARD PROBLEM." CHARACTERISTICS OF PARKING IN DOWNTOWN SANTA MONICA WERE STUDIED AT A SINGLE LARGE LOT ON 15 JUNE 1960 TO DETERMINE THE NATURE OF ARRIVALS AND DEPARTURES. THIS INFORMATION IS FIRST USED TO ASSESS A HIGH-YIELD REVENUE STRATEGY FOR THE CITY, AFTER WHICH TWO MODELS---ONE FOR OFF-STREET PARKING AND THE OTHER FOR ON-STREET---ARE DERIVED FROM RELEVANT FEATURES OF QUEUING THEORY TO PREDICT SEARCH TIME AND OTHER PARKING CHARACTERISTICS. THE MODELS DEAL WITH DELAY AT A SINGLE DESIRABLE LOT OR SLOT, OR SERIES THEREOF AT INCREASING DISTANCES FROM THE OBJECTIVE, AND NO ATTEMPT IS MADE TO DEFINE THE BEHAVIOR OF OVERFLOWS.

  • Supplemental Notes:
    • Vol 41, pp 363-374, 6 FIG, 2 TAB, 6 REF
  • Authors:
    • HAIGHT, F A
    • Jacobson, A S
  • Publication Date: 1962

Media Info

  • Monograph Title: Proceedings of the 41st Annual Meeting of the Highway Research Board, Washington, D.C., January 8-12, 1962
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00226028
  • Record Type: Publication
  • Files: TRIS, TRB
  • Created Date: Jan 24 1972 12:00AM