Let (Un)n≥0 and (Vn)n≥0 be the first and second Lucas sequences, respectively. Let m be a positive integer. Then the order of appearance of m in the first Lucas sequence is defined as the smallest positive integer k...
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Solving mixed-integer optimization problems with embedded neural networks with ReLU activation functions is challenging. Big-M coefficients that arise in relaxing binary decisions related to these functions grow expon...
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We propose a machine learning-based local search approach for finding feasible solutions of large-scale maritime inventory routing optimization problems. Given the combinatorial complexity of the problems, we integrat...
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We investigate the joint user and target scheduling, user-target pairing, and low-resolution phase-only beamforming design for integrated sensing and commmunications (ISAC). Scheduling determines which users and targe...
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We tackle safe trajectory planning under Gaussian mixture model (GMM) uncertainty. Specifically, we use a GMM to model the multimodal behaviors of obstacles’ uncertain states. Then, we develop a mixed-integer conic a...
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The integration of renewable energy sources in microgrids introduces significant operational challenges due to their intermittent nature and the mismatch between generation and demand patterns. Effective demand respon...
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A graph G of order n is called edge-pancyclic if, for every integer k with 3 ≤ k ≤ n, every edge of G lies in a cycle of length k. Determining the minimum size f(n) of a simple edge-pancyclic graph with n vertices s...
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The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-...
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Model trees provide an appealing way to perform interpretable machine learning for both classification and regression problems. In contrast to "classic" decision trees with constant values in their leaves, m...
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We study the natural extended-variable formulation for the disjunction of n+1 polytopes in d. We demonstrate that the convex hull D in the natural extended-variable space d+n is given by full optimal big-M lifting (i)...
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