To cope with the agility to respond the dynamic change in the market, we propose a manufacturing system with machining centres (MCs) in a square array layout. The machining processes of the target products are grouped into some processing groups, and any processing groups of any products can be processed by any MCs with proper tool arrangements. The selection of MCs is made by an auction mechanism. Noticing that each MC needs to be allocated sufficient number of tools, or tool sets to process all processing groups of all products, we propose a method to characterize MCs for processing specific processing group of specific product kinds by limiting the tool sets to be allocated to each MC and investigate the characteristics of the proposed method by numerical experiments.
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