| Citation: | XUE Pei, WANG Naichao, XIAO Boping, et al. Spares transshipment strategy analysis based on a three-site inventory system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 629-635. doi: 10.13700/j.bh.1001-5965.2017.0212(in Chinese)
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In this paper, the effect of variant transshipment strategies on expected backorders (EBO) of a three-site inventory system is researched. Based on the predefined assumptions and inventory control strategy, as well as the consumption and replenishment process of the spares, the state equations of spares on hand, spares due in from repair and resupply, and backorders are presented with the consideration of the supply priority among sites. By defining the ratio between EBO and the number of spares due in, the original nonlinear equations can be transformed into linear equations. Since the coefficient matrix of the linear equations is invertible, it can be said that the linear equations has only one solution. As indicated above, a Cauchy sequence of the number of spares due in is constructed to approach the sole solution. Finally, the numerical values of the EBO under two transshipment strategies (fixed probability transshipment and priority preferred transshipment) are compared. The results show that the strategy of priority preferred transshipment can not only increase the utilization rate of spares but also reduce EBO of the system in most cases. In addition, it can be found that the effect of different transshipment strategies on the EBO mainly depends on the feasible space of transshipment strategies, which is mainly determined by the rate of demands filled by local site, the inventory allocation scheme, and the repairing and demanding rate of each site.
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