The PLCS (Playback Length Changeable Segmentation) algorithm was proposed to improve the success delivery rate of chunks in some important layers including the base layer for SVC based P2P streaming systems. In this paper, we make further research and propose a corresponding chunk scheduling algorithm named PLCCS (Playback Length Changeable Chunk Scheduling). In PLCCS, there are two scheduling windows on clients, including General Window and Emergent Window. Different scheduling strategies are adopted in the two windows to ensure the efficiency of data distribution as well as the playback fluency. Moreover, an adaptive strategy is used in General Window to accommodate the change of the network state. We evaluate the performance of PLCCS through simulations. The results show that compared with two representative EPLS based chunk scheduling algorithms, PLCCS can achieve better video quality on clients by at least 40%, and it decreases the useless packet ratio on clients by at least 15 times. Moreover, the adaptive strategy used in PLCCS makes it suitable to be applied in SVC based P2P streaming systems in heterogeneous network environments.