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Generalizations of the Parking Problem. / Ananjevskii, S. M. .

In: Vestnik St. Petersburg University: Mathematics, Vol. 49, No. 4, 10.2016, p. 299-304.

Research output: Contribution to journal › Article › peer-review

Harvard

Ananjevskii, SM 2016, 'Generalizations of the Parking Problem', Vestnik St. Petersburg University: Mathematics, vol. 49, no. 4, pp. 299-304.

APA

Ananjevskii, S. M. (2016). Generalizations of the Parking Problem. Vestnik St. Petersburg University: Mathematics, 49(4), 299-304.

Vancouver

Ananjevskii SM. Generalizations of the Parking Problem. Vestnik St. Petersburg University: Mathematics. 2016 Oct;49(4):299-304.

Author

Ananjevskii, S. M. . / Generalizations of the Parking Problem. In: Vestnik St. Petersburg University: Mathematics. 2016 ; Vol. 49, No. 4. pp. 299-304.

BibTeX

@article{8eacb90a3cd244b7b5b3eef371637cb5,
title = "Generalizations of the Parking Problem",
abstract = "The well-known parking problem of the Hungarian mathematician R{\'e}nyi is about the asymptotic behavior of the mathematical expectation of the number of open unit intervals randomly filling a long interval. The length of the interval being filled increases without bound.The paper studies generalizations of the parking problem in two directions. The first is the case where the length of the placed intervals is a random variable. Unlike in the original setting of the problem, the behavior of the expectations of both the number of placed intervals and the measure of the occupied part of the long interval are studied. The second direction is the case where the distribution of the position of a placed unit interval is nonuniform, unlike in the classical parking problem.",
keywords = "random filling, parking problem, asymptotic behavior of mathematical expectation",
author = "Ananjevskii, {S. M.}",
note = "Ananjevskii, S.M. Generalizations of the parking problem. Vestnik St.Petersb. Univ.Math. 49, 299–304 (2016). https://doi.org/10.3103/S1063454116040026",
year = "2016",
month = oct,
language = "English",
volume = "49",
pages = "299--304",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Generalizations of the Parking Problem

AU - Ananjevskii, S. M.

N1 - Ananjevskii, S.M. Generalizations of the parking problem. Vestnik St.Petersb. Univ.Math. 49, 299–304 (2016). https://doi.org/10.3103/S1063454116040026

PY - 2016/10

Y1 - 2016/10

N2 - The well-known parking problem of the Hungarian mathematician Rényi is about the asymptotic behavior of the mathematical expectation of the number of open unit intervals randomly filling a long interval. The length of the interval being filled increases without bound.The paper studies generalizations of the parking problem in two directions. The first is the case where the length of the placed intervals is a random variable. Unlike in the original setting of the problem, the behavior of the expectations of both the number of placed intervals and the measure of the occupied part of the long interval are studied. The second direction is the case where the distribution of the position of a placed unit interval is nonuniform, unlike in the classical parking problem.

AB - The well-known parking problem of the Hungarian mathematician Rényi is about the asymptotic behavior of the mathematical expectation of the number of open unit intervals randomly filling a long interval. The length of the interval being filled increases without bound.The paper studies generalizations of the parking problem in two directions. The first is the case where the length of the placed intervals is a random variable. Unlike in the original setting of the problem, the behavior of the expectations of both the number of placed intervals and the measure of the occupied part of the long interval are studied. The second direction is the case where the distribution of the position of a placed unit interval is nonuniform, unlike in the classical parking problem.

KW - random filling

KW - parking problem

KW - asymptotic behavior of mathematical expectation

UR - https://link.springer.com/article/10.3103/S1063454116040026

M3 - Article

VL - 49

SP - 299

EP - 304

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 9307414