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In this paper, we will study the long time behavior of the simple symmetricexclusion process in the ``channel'' $\Lambda_N=[1,N]\cap \mathbb{N}$ withreservoirs at the boundaries. These reservoirs are also systems of particleswhich can be exchanged with the particles in the channel. The size $M$ of eachreservoir is much larger than the one of the channel, i.e. $M=N^{1+\alpha}$ fora fixed number $\alpha>0$. Based on the size of the channel and the holdingtime at each reservoir, we will investigate some types of rescaling time.

Particle model for the reservoirs in the simple symmetric exclusion process