With the increasingly competitive market environment nowadays, the uncertainty of customer demand\r\nhas been raised step by step; meanwhile, in order to build up more close supply chain partnership, the\r\ncollaboration of logistics service supply chain (LSSC) presents multiply periodic features.\r\nConsequently, the study on the quantity coordination of capability collaboration for multi-periodoriented\r\nLSSC under uncertain conditions would have more practical significance compared with that\r\nof single-period. By considering the two-echelon supply chain structure within multiply period\r\nconsisting of a functional logistics service provider (FLSP) and a logistics services integrator (LSI), this\r\npaper proposed the LSI�s cost function and the FLSP�s profits function under stochastic conditions,\r\nand established the multi-period capability quantity coordination model with Stackelberg decisionmaking.\r\nWith the software Matlab7.0, numerical simulation was conducted, and the parameters among\r\nthree collaboration strategies and two LSI decision modes were compared. The results indicated that\r\nunder multiply periodic conditions, the optimal collaboration strategy was that the satisfaction degree\r\nfor the initial capability of the providers was higher than the standardized satisfaction value set by LSI,\r\nat this time the LSI should take rapid decision mode, and reduce the unit penalty value so as to\r\ndecrease the LSI�s cost and increase FLSP�s profit.
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