A car parking problem

1972 ◽  
Vol 2 (1-4) ◽  
pp. 61-72
Author(s):  
J. Gani
Keyword(s):  
Parking Problem ◽  
Car Parking Problem

scholarly journals Paris car parking problem for partially oriented discorectangles on a line

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Nikolai I. Lebovka ◽  
Mykhailo O. Tatochenko ◽  
Nikolai V. Vygornitskii ◽  
Yuri Yu. Tarasevich
Keyword(s):  
Parking Problem ◽  
Car Parking Problem

Revisiting parallel car parking problem

2017 ◽  
Vol 58 (1-2) ◽  
pp. 257-272
Author(s):  
Archana Tiwari ◽  
S. R. Pattanaik ◽  
K. C. Pati
Keyword(s):  
Parking Problem ◽  
Car Parking Problem

scholarly journals A unified model for Kakutani's interval splitting and Rényi's random packing

1992 ◽  
Vol 24 (2) ◽  
pp. 502-505 ◽  
Author(s):  
Fumiyasu Komaki ◽  
Yoshiaki Itoh
Keyword(s):  
Packing Density ◽  
Random Packing ◽  
Unified Model ◽  
Generalized Model ◽  
One Dimensional ◽  
Stochastic Version ◽  
Parking Problem ◽  
Special Cases ◽  
Car Parking Problem ◽  
Typical Model

One-dimensional random packing, known as the car-parking problem, was first analyzed by Rényi (1958). A stochastic version of Kakutani's (1975) interval splitting is another typical model on a one-dimensional interval. We consider a generalized car-parking problem which contains the above two models as special cases. In the generalized model, one can park a car of length l, if there is a space not less than 1. We give the limiting packing density and the limiting distribution of the length of randomly selected gaps between cars. Our results bridge the two models of Rényi and Kakutani.

scholarly journals A unified model for Kakutani's interval splitting and Rényi's random packing

1992 ◽  
Vol 24 (02) ◽  
pp. 502-505 ◽  
Author(s):  
Fumiyasu Komaki ◽  
Yoshiaki Itoh
Keyword(s):  
Packing Density ◽  
Random Packing ◽  
Unified Model ◽  
Generalized Model ◽  
One Dimensional ◽  
Stochastic Version ◽  
Parking Problem ◽  
Special Cases ◽  
Car Parking Problem ◽  
Typical Model

One-dimensional random packing, known as the car-parking problem, was first analyzed by Rényi (1958). A stochastic version of Kakutani's (1975) interval splitting is another typical model on a one-dimensional interval. We consider a generalized car-parking problem which contains the above two models as special cases. In the generalized model, one can park a car of length l, if there is a space not less than 1. We give the limiting packing density and the limiting distribution of the length of randomly selected gaps between cars. Our results bridge the two models of Rényi and Kakutani.

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