. "Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process"@en . "Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process"@en . . . . "2011" . "RIV/68407700:21340/11:00186356!RIV12-MSM-21340___" . "[AFB385D287A9]" . . . . . . "2"^^ . "000299524200046" . . "S" . . . "Hrab\u00E1k, Pavel" . "Procedia - Social and Behavioral Sciences" . "totally asymmetric simple exclusion process; vehicular traffic; time-headway distribution"@en . "2"^^ . "http://www.sciencedirect.com/science/article/pii/S1877042811014273" . . . "20" . . "194886" . "We consider the one-dimensional totally asymmetric simple exclusion process on a lattice of N sites. Our goal is to investigate the headway distribution for this model in order to compare the microscopic structure of the model with the real highway traffic. In recent articles, the distance-headway distribution for this model has been presented. Using this result, the time-headway distribution is derived, which represents the probability density for the time interval of the length t between the jumps of two successive particles from the observed site. We find out that for all variants of the considered model, the space discrete structure is reflected in the distance-headway distribution. The time-headway distribution reflects (contrary to the real traffic behavior) the %22particle-hole symmetry%22 of the model." . "10.1016/j.sbspro.2011.08.047" . . "11"^^ . "Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process" . "1877-0428" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "21340" . "We consider the one-dimensional totally asymmetric simple exclusion process on a lattice of N sites. Our goal is to investigate the headway distribution for this model in order to compare the microscopic structure of the model with the real highway traffic. In recent articles, the distance-headway distribution for this model has been presented. Using this result, the time-headway distribution is derived, which represents the probability density for the time interval of the length t between the jumps of two successive particles from the observed site. We find out that for all variants of the considered model, the space discrete structure is reflected in the distance-headway distribution. The time-headway distribution reflects (contrary to the real traffic behavior) the %22particle-hole symmetry%22 of the model."@en . "RIV/68407700:21340/11:00186356" . "Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process" . "Krb\u00E1lek, Milan" .