| Citation: | ZHANG Ying, WANG Yun, XUE Peiet al. Modeling and analysis of spares supply support relations among three stations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(8): 1625-1631. doi: 10.13700/j.bh.1001-5965.2016.0709(in Chinese)
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For modeling, the existing spares-related researches have insufficient consideration of lateral transshipments. In this paper, the authors select a three-site inventory system as the research object, and by introducing spares supply support relationship between sites, longitudinal and lateral transshipments are considered at the same time. The quantitative probability values are used to represent the spares demand relationship between sites, and based on inventory balance theory, a relationship is established between the number of spares due in, the initial inventory, the number of spares on hand and the number of backorders. Based on the single-site inventory balance equations and the demand supply relations between sites, the three-site spare parts backorder equations are given. Then coefficients-matrix of the equations is found reversible and so the equations have only one unique solution. Then according to the principle of contractive mapping theory, an iterative method is used for solving the equations. Finally, an example is calculated to verify the fitness of the model and the validity of the solving method.
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