Integral stock norms in divergent systems with lot-sizes.

*(English)*Zbl 0697.90024Integral stock norms and service levels are studied for divergent systems in which a common part goes into several final products. A number of one and two stage systems are considered and integral stock norm formulae are derived. The size of imbalance and its importance are investigated both for systems with and without depot. A simple rule is postulated namely that the positive effect of decreased imbalance in case a depot is present is small compared with the negative effect of decreased ability to satisfy customers’ demand. An exception to this rule is in the case of systems with a large lot-size for the common component combined with large coefficients of variation for the final products’ demand.

Reviewer: A.Zinober

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\textit{K. van Donselaar}, Eur. J. Oper. Res. 45, No. 1, 70--84 (1990; Zbl 0697.90024)

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##### References:

[1] | Burgin, T.A., The gamma distribution and inventory control, (), 507-525 · Zbl 0326.90019 |

[2] | Clark, A.; Scarf, H., Optimal policies for a multiechelon inventory problem, Management science, 6, 475-490, (1960) |

[3] | Donselaar, K.van; Wijngaard, J., Commonality and safety stocks, Engineering costs and production economics, 12, 197-204, (1987) |

[4] | Donselaar, K.van, Integral stock norms in divergent systems with lot-sizes, () · Zbl 0697.90024 |

[5] | Donselaar, K.van, Material coordination under uncertainty, () |

[6] | Eppen, G.; Schrage, L., Centralized ordering policies in a multi-warehouse system with lead times and random demand, () · Zbl 0471.90044 |

[7] | Hadley, G.; Whitin, T.M., Analysis of inventory systems, (1963), Prentice-Hall NJ · Zbl 0133.42901 |

[8] | Wijngaard, J.; Wortmann, J.C., MRP and inventories, European journal of operational research, 20, 281-293, (1985) · Zbl 0582.90043 |

[9] | Zipkin, P., On the imbalance of inventories in multi-echelon systems, Mathematics of operations research, 9, 402-423, (1984) · Zbl 0555.90033 |

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