A new cutting plane method for lexicographic multi-objective integer linear programming
From MaRDI portal
Publication:6189414
DOI10.1016/j.cnsns.2023.107674MaRDI QIDQ6189414
Massimo Pappalardo, Alessandro Cudazzo, Yaroslav D. Sergeyev, Marco Cococcioni, Lorenzo Fiaschi
Publication date: 8 February 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
multi-objective optimizationinteger linear programmingcutting planelexicographic optimizationnumerical infinitesimalsGrossone methodology
Cites Work
- Metamathematical investigations on the theory of grossone
- Boolean lexicographic optimization: algorithms \& applications
- Infinitesimals and infinites in the history of mathematics: a brief survey
- The use of grossone in mathematical programming and operations research
- Taking the Pirahã seriously
- Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming
- Simulation of hybrid systems under Zeno behavior using numerical infinitesimals
- Some paradoxes of infinity revisited
- Infinite games on finite graphs using grossone
- A constructive sequence algebra for the calculus of indications
- On the topological convergence of multi-rule sequences of sets and fractal patterns
- Spherical separation with infinitely far center
- Iterative grossone-based computation of negative curvature directions in large-scale optimization
- The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area
- New approaches to basic calculus: an experimentation via numerical computation
- Solving the lexicographic multi-objective mixed-integer linear programming problem using branch-and-bound and grossone methodology
- On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales
- A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
- Non-Archimedean game theory: a numerical approach
- A Simulink-based software solution using the infinity computer methodology for higher order differentiation
- Independence of the grossone-based infinity methodology from non-standard analysis and comments upon logical fallacies in some texts asserting the opposite
- Numerical infinities and infinitesimals: methodology, applications, and repercussions on two Hilbert problems
- Nonlinear programming and grossone: quadratic programing and the role of constraint qualifications
- Lexicographic multi-objective linear programming using grossone methodology: theory and algorithm
- Numerical infinitesimals in a variable metric method for convex nonsmooth optimization
- Integer Programming
- Unnamed Item
This page was built for publication: A new cutting plane method for lexicographic multi-objective integer linear programming