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September 30, 2025Open Access

Novel Models and Improved Algorithms for Fuzzy Joint Replenishment Problem with Carbon Cap-and-trade Policy

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This research presents solutions to the joint replenishment problem under carbon cap-and-trade policy, revealing improved algorithms for efficiency.

A novel fuzzy joint replenishment problem was formulated, emphasizing carbon emission costs in budget control.
Improved hybrid algorithms such as BIS-DE and Exact-DE effectively solve the fuzzy dependent-chance programming model.
A deterministic counterpart of the fuzzy model was derived, allowing intelligent algorithms to solve it without simulations.
Numerical experiments demonstrated the effectiveness and advantages of the proposed models and algorithms.

Liu et al. (2025) studied this question.

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This research presents solutions to the joint replenishment problem under carbon cap-and-trade policy, revealing improved algorithms for efficiency.