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**Improved inventory models with service level and lead time.**
*(English)*
Zbl 1073.90005

Summary: This paper explores the mixed inventory backorder and lost sales problem in which both the lead time and order quantity are treated as decision variables. In a recent paper [Comput. Oper. Res. 24, No. 9, 875–882 (1997; Zbl 0891.90059)] L. Y. Ouyang and K. S. Wu considered this problem. However, their algorithms might not find the optimal solution due to flaws in their solution procedure. We develop some lemmas to reveal the parameter effects and then present two complete procedures for finding the optimal solution for the models. The savings are illustrated by solving the same examples from Ouyang and Wu’s paper to demonstrate the superiority of our revised algorithms.

### MSC:

90B05 | Inventory, storage, reservoirs |

### Citations:

Zbl 0891.90059
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\textit{P. Chu} et al., Comput. Oper. Res. 32, No. 2, 285--296 (2005; Zbl 1073.90005)

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### References:

[1] | Silver, E. A.; Peterson, R., Decision systems for inventory management and production planning (1985), Wiley: Wiley New York |

[2] | Liao, C. J.; Shyu, C. H., An analytical determination of lead time with normal demand, International Journal of Operations Production Management, 11, 72-78 (1991) |

[3] | Ben-Daya, M.; Raouf, A., Inventory models involving lead time as decision variable, Journal of the Operational Research Society, 45, 579-582 (1994) · Zbl 0805.90037 |

[4] | Moon, I.; Gallego, G., Distribution free procedures for some inventory models, Journal of the Operational research Society, 45, 651-658 (1994) · Zbl 0920.90050 |

[5] | Ouyang, L. Y.; Yeh, N. C.; Wu, K. S., Mixture inventory models with backorders and lost sales for variable lead time, Journal of the Operational Research Society, 47, 829-832 (1996) · Zbl 0856.90041 |

[6] | Moon, I.; Choi, S., A note on lead time and distribution assumptions in continuous reviews inventory models, Computer and Operations Research, 25, 1007-1012 (1998) · Zbl 1042.90509 |

[7] | Lan, S. P.; Chu, P.; Chung, K. J.; Wan, W. J., A simple method to locate the optimal solution of inventory model with variable lead time, Computer and Operations Research, 26, 599-605 (1999) · Zbl 0971.90003 |

[8] | Ouyang, L. Y.; Wu, K. S., A mixture distribution free procedure for mixed inventory model with variable lead time, International Journal of Production Economics, 56, 511-516 (1998) |

[9] | Wu, J. K.; Tsai, H. Y., Mixture inventory model with back orders and lost sales for variable lead time demand with the mixture of normal distribution, International Journal of Systems Science, 32, 259-268 (2001) · Zbl 1006.90010 |

[10] | Pan, C. H.; Hsiao, Y. C., Inventory models with back-order discounts and variable lead time, International Journal of Systems Science, 32, 925-929 (2001) · Zbl 1005.90007 |

[11] | Ouyang, L. Y.; Wu, K. S., Mixture inventory model involving variable lead time with a service level constraint, Computers and Operations Research, 24, 875-882 (1997) · Zbl 0891.90059 |

[12] | Ravindran, A.; Phillips, D. T.; Solberg, J. J., Operations research: principles and practice (1987), Wiley: Wiley New York |

[13] | Gallego, G.; Moon, I., The distribution free newsboy problemreview and extensions, Journal of the Operational Research Society, 44, 825-834 (1993) · Zbl 0781.90029 |

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