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.
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Supplemental Notes:
- Vol 41, pp 363-374, 6 FIG, 2 TAB, 6 REF. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved.
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Authors:
- HAIGHT, F A
- Jacobson, A S
- Publication Date: 1962
Media Info
- Media Type: Digital/other
- Monograph Title: Proceedings of the 41st Annual Meeting of the Highway Research Board, Washington, D.C., January 8-12, 1962
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Serial:
- Highway Research Board Proceedings
- Volume: 41
- Publisher: Highway Research Board
Subject/Index Terms
- TRT Terms: Parking; Queuing theory; Stochastic processes
- Old TRIS Terms: Queueing theory
- Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;
Filing Info
- Accession Number: 00226028
- Record Type: Publication
- Files: TRIS, TRB
- Created Date: Jan 24 1972 12:00AM