title: The problem of selfish parking
metadata.name: dc.contributor.author
metadata.value: Ananjevskii, Sergey M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kryukov, Nikolay A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-12-13T14:20:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-12-13T14:20:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ananjevskii S.M., Kryukov N.A. The problem of selfish parking. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 4, pp. 549– 555.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15124
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we propose to investigate one of the models of the discrete analogue of the
  Renyi problem known as the “parking problem”. Let n, i be integers, n ≥ 0 and 0 ≤ i ≤ n−1.
  On the segment [0, n] we will place an open interval (i, i+1), where i is a random variable
  with equal probability taking the values 0, 1, 2 . . . , n−1 for all n ≥ 2. If n < 2, then we say
  that the interval does not fit. After placing the first interval, two free segments [0, i] and
  [i + 1, n], are formed, which are filled with intervals of unit length according to the same
  rule, independently of each other, etc. At the end of the process of filling the segment [0, n]
  with single intervals, between any two adjacent intervals the distance will not exceed 1. Let Xn denote the number of placed intervals. We study the asymptotic behavior of moments
  of a random variable Xn. Unlike the classical case, for the first moments it is possible to
  establish exact expressions for the moments.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №18-01-00393).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5 (63); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: random fill
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the problem of parking
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic behaviour of moments
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The problem of selfish parking
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Ananjevskiy.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15124/1/02-Ananjevskiy.pdf
resources.format: Adobe PDF
resources.size: 275,67 kB