Quality supervision and coordination are critical in realising successful cooperation in the logistics service supply chain (LSSC). To build a closer partnership in the supply chain, collaboration in the LSSC presents multi-period features. Therefore, the study on the quality of decision-making problems under multi-period conditions in the LSSC is practical. Logistic service quality is not easy to measure. Hence, this paper proposes a multi-period quality coordination model based on the single-period quality coordination model in a two-echelon LSSC, and establishes a new model in a three-echelon LSSC when the logistics service integrator (LSI) is punished. Simulation results indicate that under multi-period cooperation conditions, the LSI tends to make rapid decisions when punishment intensity is below the critical value. Moreover, for the three-echelon LSSC, the final equilibrium between sub-LSI and ultimate FLSP is not associated with punishment intensity that the LSI sets against the sub-LSI. © 2012 Elsevier B.V.
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