Dependence of lead time on batch size studied by a system dynamics model.

*(English)*Zbl 1197.90158Summary: Most planning models treat lead time as a constant independent of workload, but the resulting order rate implies capacity utilisation that, in turn, affects the lead time. An important factor that determines production order rate is the batch size, and one therefore expects a relationship between batch size and lead time. This dependency is examined for different operational conditions using system dynamics simulation of a manufacturing model comprising a quality control unit that is also the bottleneck of the system. It is shown that there is an optimal batch size that results in a minimum lead time and that inventory level at optimum matches the desired inventory. Below optimal batch size, lead time increases sharply due to congestion at the bottleneck. The results have implications for production planning and implementation of process improvement.

##### Software:

DYNAMO
PDF
BibTeX
XML
Cite

\textit{N. Mikati}, Int. J. Prod. Res. 48, No. 18, 5523--5532 (2010; Zbl 1197.90158)

Full Text:
DOI

**OpenURL**

##### References:

[1] | DOI: 10.1002/sdr.317 |

[2] | Angerhofer, BJ and Angelides, MC. 2000. System dynamic modelling in supply chain management: research review. Proceedings of the 2000 winter simulation conference. 2000. pp.342–351. Available from:http://www.informs-cs.org/wsc00papers/049.PDF[Accessed 14 April 2008] |

[3] | DOI: 10.1080/002075497195623 · Zbl 0949.90616 |

[4] | DOI: 10.1080/00207540010002810 |

[5] | Forrester JW, Harvard Business Review 36 pp 37– (1958) |

[6] | Forrester JW, Industrial dynamics (1961) |

[7] | DOI: 10.1080/002075499191517 · Zbl 0949.90642 |

[8] | Hopp JW, Factory physics, 2. ed. (2000) |

[9] | DOI: 10.1007/s00170-005-0324-2 |

[10] | DOI: 10.1287/mnsc.33.3.409 · Zbl 0612.90068 |

[11] | Karmarker US, Handbooks in OR & MS 4 pp 287– (1993) |

[12] | DOI: 10.1080/002075498192481 · Zbl 0942.90507 |

[13] | Ocrun, S. 2006. Using system dynamics simulations to compare capacity models for production planning. Proceedings of the 2006 winter simulation conference. 2006. pp.1855–1862. Available from:http://www.informs-sim.org/wsc06papers/237.pdf[Accessed 6 March 2008] |

[14] | DOI: 10.1080/095372898234271 |

[15] | DOI: 10.1007/s10479-007-0173-5 · Zbl 1159.90381 |

[16] | Penido ML, Planning and scheduling in manufacturing services. (2007) |

[17] | Sterman JD, Business dynamics, system thinking and modelling for a complex world (2000) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.