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Pei-Cheng Xie

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Preprint Aug 2026

Dynamic-Threshold Algorithms for the Continuous Quadratic Knapsack Problem: Reset Mechanisms and Complexity

A dynamic-threshold algorithm (DTA) is developed for a continuous quadratic knapsack problem with a weighted equality constraint that maintains a threshold invariant through three operations--addition, reset, and removal--and its finite termination and correctness are established.

Yong-Jin Liu, Pei-Cheng Xie, Chuan Yang · 0 citations

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