Some generalizations of the Renyi’s “parking” problem

: YEHOR IVASHCHENKO

Company: National center «Junior Academy of Sciences of Ukraine»

Country: Ukraine

e-mail: jasuselection@man.gov.ua

web: https://man.gov.ua /b>

The work studies random filling of a segment with intervals of two different lengths. The asymptote of the expected value of the number of gaps whose length is not less than r was found and some properties of similar functions proved. Using a computer model some graphical dependencies obtained.