Vol 1, No 1 (2024)

Table of Contents

Open Access
Original Research Article
Article ID: 8052
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by Dominic Rando, Yun Lu, Myung Soon Song, Francis J. Vasko
P. N. Math. AI 2024 , 1(1);    29 Views
Abstract In the operations research (OR) literature several highly efficient solution methods for the Quadratic Knapsack Problem (QKP) have been documented. However, these solution approaches are not readily available for industrial applications. In this short paper, we demonstrate that OR practitioners must be careful in their use of general-purpose integer programming software such as Gurobi when solving QKPs. We verify the very positive impact of fine-tuning parameters when solving QKPs with Gurobi.
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Open Access
Original Research Article
Article ID: 6585
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by Guodong Zhang
P. N. Math. AI 2024 , 1(1);    39 Views
Abstract New estimations on settling-time for fixed-time stabilization of nonlinear systems are derived. By using the new proposed results on fixed-time stable and designing proper effective event-triggered control (ETC), fixed-time stabilization (FTS) for a kind of delayed neural networks is investigated. The new estimations on settling-time for fixed-time stabilization can be used to discussed other systems, such as complex networks, multi-agent systems and so on. At last, example simulations are given to corroborate the effectiveness of the derived results.
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