Optimal production lot-sizing model considering the bounded learning case and shortages backordered

Zhou, Y-W; Lau, H-S

doi:10.1038/sj.jors.2600626

Cited by 1 publication

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“…DeJong (1957) provided a correction of the zero asymptote by adding a ''factor of compressibility'' as a third parameter to the WLC. Research on the lot sizing problem where the learning curve conforms to the model of DeJong (1957) is limited (see e.g., Fisk and Ballou, 1982;Jaber andBonney, 1996b, Zhou andLau, 1998). This paucity, and unlike the WLC, may be attributed to the lack of scientific data that supports DeJong's model (Badiru, 1992;Dar-El, 2000).…”

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confidence: 99%

Observations on the economic manufacture quantity model with learning and forgetting

Jaber

Guiffrida

2007

Int Trans Operational Res

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The economic order (manufacture) quantity model with learning and forgetting has attracted the attention of researchers since the 1960s. All the models developed have limitations, of which two will be addressed in this article. First, the models found in the literature do not address the problem of when the learning exponent b approaches or exceeds the value 1, where these models are mathematically invalid for the special cases of b=1 and 2, and not investigated for the cases 12. Second, the models found in the literature assume that the holding cost per unit is fixed even though the unit production cost is decreasing because of learning. This limitation would suggest producing in smaller lot‐sizes than their optimal values. Mathematical models are developed, and existing learning models are revised to overcome these limitations. Numerical examples are presented with results discussed.

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