  Cost of time passing plays an important role when investigate the collective
behaviour in real world. Each rational individual can get a more reasonable
strategy by comprehensively considering the time cost. Motivated by the fact,
we here propose a mechanism with individual time cost heterogeneity whose core
lies in two aspects: 1. The individuals in the rule network are divided into 2
groups: high-time cost and low-time cost. 2. Each individual is endowed with a
time cost parameter, and the individuals take into account the effect of time
cost on the benefit when they interact with a neighbour. The synchronous
updating algorithm is used to study the evolution of cooperation with time cost
on a regular lattice. Simulation results show that the proposed mechanism
effectively promotes cooperation in the snowdrift game. Moreover, it is
revealed that the following reasons lead to a higher level of cooperation: The
higher time cost, the more individuals of high-time cost in the group, and the
more differences of time cost between groups when low-time cost remains
unchanged.
