We consider the embedding of piecewise-linear deep neural networks (ReLU networks) as surrogate models in mixed-integer linear programming (MILP) problems. A MILP formulation of ReLU networks has ...

Thus, the problem reduces to optimally assign vessels to berths.We call it the Berth Assignment Problem (BASP). (BASP) is an NP-Complete problem. We formulate it as a non standard Quadratic Assignment ...

The artificial intelligence start-up said the new system, OpenAI o3, outperformed leading A.I. technologies on tests that rate skills in math, science, coding and logic.

Fuzzy linear programming problem with fuzzy coefficients was formulated by Negoita [7] and are called robust programming. Dubois and Prade investigated optimization with linear fuzzy constraints [8] .

Numerical optimization-based solution to directional overcurrent relay (DOCR) coordination problem has been a widely addressed research problem in the recent past. Many linear (LP), nonlinear (NLP), ...

Discover how the Pareto set can aid decision makers in solving mathematical programming problems with conflicting criteria. Our method uses geometric properties and an elementary linear program solver ...

The computational protein design problem or the side-chain positioning problem is a central part in computational methods for predicting protein structure and designing protein sequences. However, the ...