Time-headway distribution for totally asymmetric exclusion process with various updates

Pavel Hrabák, Milan Krbálek

Published 2015-12-22Version 1

The totally asymmetric exclusion process (TASEP) is considered as traffic flow model. The time-headway distribution (an important microscopic characteristics of traffic flow) is analytically derived for the model with generalized update (genTASEP) in both, forward- and backward-sequential representation. The usually used updates, fully-parallel and regular forward- and backward-sequential, are analysed as special cases of the genTASEP. It is shown that only for those cases, the time-headway distribution is determined by the flow regardless to the density. The qualitative comparison of the results demonstrates that the genTASEP with backward order and attractive interaction evinces similar properties of time-headway distribution as the real traffic sample.