If you need an accessible version of this item please contact JSTOR User Support

Nonstationary Queuing Probabilities for Landing Congestion of Aircraft

Herbert P. Galliher and R. Clyde Wheeler
Operations Research
Vol. 6, No. 2 (Mar. - Apr., 1958), pp. 264-275
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/167618
Page Count: 12
  • Download PDF
  • Cite this Item

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support
Nonstationary Queuing Probabilities for Landing Congestion of Aircraft
Preview not available

Abstract

Illustration is made, with reference to a case study of airport landing congestion in the New York area, of how numerical solutions may be easily obtained for the transient behavior of nonstationary waiting lines characterized by Poisson arrivals, constant holding time, and service in order of arrival. In the case study only the mean arrival rate varies as a given function of time, but the methods used as easily provide for variation also of servicing rate and of number of servers. Exact numerical values are sought and obtained only at intervals of the servicing time. While these times were short in the case study, so that little information is sacrificed, the method may be adapted to yield more frequent values in the case of long servicing times. Subject to this restriction, the entire probability distribution of the queue is calculated as the main numerical routine, from which the distribution of waiting time is directly obtained. Use of a stored-program computer is simple, cheap, and especially effective under saturating arrival rates.

Page Thumbnails

  • Thumbnail: Page 
264
    264
  • Thumbnail: Page 
265
    265
  • Thumbnail: Page 
266
    266
  • Thumbnail: Page 
267
    267
  • Thumbnail: Page 
268
    268
  • Thumbnail: Page 
269
    269
  • Thumbnail: Page 
270
    270
  • Thumbnail: Page 
271
    271
  • Thumbnail: Page 
272
    272
  • Thumbnail: Page 
273
    273
  • Thumbnail: Page 
274
    274
  • Thumbnail: Page 
275
    275