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A mathematical model and a heuristic approach for design of the hybrid manufacturing systems to facilitate one-piece flow

机译：数学模型和启发式方法，用于设计混合制造系统以促进单件式流程

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One-piece flow is a design rule that entails production in manufacturing cells on a 'make one, check one, and move-on one' basis (Black, J.T., 2007. Design rules for implementing Toyota Production System. International Journal of Production Research, 45 (16), 3639-3664), which reduces manufacturing lead time significantly. This paper proposes a sequential methodology comprised of a mathematical model and a heuristic approach (HA) for the design of a hybrid cellular manufacturing system (HMS), to facilitate one-piece flow practice. The mathematical model is employed in the cases of small- and medium-sized problems, and it attempts to minimise the total number of exceptional operations, while considering machine capacities and alternative machines. The machine-part matrix achieved by the mathematical model is input into the flow line design stage of the HA, where backflow within the cells is eliminated. However, for industrial problems, the proposed HA is utilised. After the formation of the cells by clustering, the HA attempts to eliminate exceptional operations of a given cellular configuration together with a functional structure by employing alternative machines, based on the decision rules developed. Later, unidirectional flow within the cells is achieved and the capacity and budget constraints are satisfied. A medium-sized problem is solved by using both of the approaches, namely, the model integrated with the flow-line design stage of the HA and the complete HA. The results are discussed and the limitations are explained.
机译：单件式流程是一种设计规则，要求在制造单元中进行“制造，检查，移动”的生产（Black，JT，2007年。实施丰田生产系统的设计规则。国际生产研究杂志） ，45（16），3639-3664），从而大大缩短了制造周期。本文提出了一种由数学模型和启发式方法（HA）组成的顺序方法，用于设计混合细胞制造系统（HMS），以促进单件流程的实践。在中小型问题的情况下使用该数学模型，并在考虑机器容量和替代机器的情况下，尝试将异常操作的总数最小化。通过数学模型获得的机器零件矩阵被输入到HA的流水线设计阶段，在那里消除了单元内的回流。但是，对于工业问题，可以使用建议的HA。在通过集群形成单元之后，HA会根据制定的决策规则，尝试通过使用替代机器来消除给定单元配置的异常操作以及功能结构。后来，实现了单元内的单向流动，并且满足了容量和预算约束。通过使用两种方法（即与HA和完整HA的流线设计阶段集成的模型）来解决中等规模的问题。讨论了结果并说明了局限性。

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