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Estimating Minimum Gap Acceptances for Merging Motorists

Author

Listed:
  • D. R. McNeil

    (Australian National University, Canberra, A.C.T., Australia)

  • J. H. T. Morgan

    (Australian National University, Canberra, A.C.T., Australia)

Abstract

Assume that motorists arrive at a stop sign and wish to merge into traffic on the main road, using the following criterion for making decisions: For each motorist there is a number, X , which is the smallest headway which the motorist will accept before merging into it. For each of these gaps presented to a particular motorist, X is the same, but X varies from motorist to motorist, and has the distribution function F X ( x ). Assuming the gaps are independent and identically distributed variates, and the merging motorists arrive at times independent of the traffic on the main road, consistent estimates of the moments of X are obtained, using sample values of the accepted and rejected gaps. An estimator of F X ( x ) is also obtained, without these assumptions. The paper concludes with a numerical analysis using data obtained from an intersection in Sydney.

Suggested Citation

  • D. R. McNeil & J. H. T. Morgan, 1968. "Estimating Minimum Gap Acceptances for Merging Motorists," Transportation Science, INFORMS, vol. 2(3), pages 265-277, August.
    • Handle: RePEc:inm:ortrsc:v:2:y:1968:i:3:p:265-277
    DOI: 10.1287/trsc.2.3.265
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