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Bilevel programming approaches to production planning for multiple products with short life cycles

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Abstract

We provide decision-making models for a manufacturer which plans to produce multiple short life cycle products with the one-shot decision theory. The obtained optimal production quantities are based on the most appropriate scenarios for the manufacturer. Since the models are the bilevel programming problems with the max–min or min–max operator in the lower levels, we propose two approaches to translate them into general single-level optimization problems such that they can be solved via the commonly used optimization methods. The effectiveness of our approaches is examined from the theoretical and computational aspects.

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Acknowledgements

This research was supported by JSPS KAKENHI Grant Number 15K03599.

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  1. Faculty of Business Administration, Yokohama National University, 79-4 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan

    Xide Zhu & Peijun Guo

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  1. Xide Zhu
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  2. Peijun Guo
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Correspondence to Peijun Guo.

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Zhu, X., Guo, P. Bilevel programming approaches to production planning for multiple products with short life cycles. 4OR-Q J Oper Res 18, 151–175 (2020). https://doi.org/10.1007/s10288-019-00407-z

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