Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems

YD Sergeyev - EMS Surveys in Mathematical Sciences, 2017 - ems.press
In this survey, a recent computational methodology paying a special attention to the
separation of mathematical objects from numeral systems involved in their representation is …

Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm

M Cococcioni, M Pappalardo, YD Sergeyev - Applied Mathematics and …, 2018 - Elsevier
Numerous problems arising in engineering applications can have several objectives to be
satisfied. An important class of problems of this kind is lexicographic multi-objective …

Solution to the time-cost-quality trade-off problem in construction projects based on immune genetic particle swarm optimization

L Zhang, J Du, S Zhang - Journal of Management in Engineering, 2014 - ascelibrary.org
The importance of time-cost-quality trade-off in construction projects has been widely
recognized by the construction industry. In this paper, we develop an integrated optimization …

Dissipativity and synchronization control of quaternion-valued fuzzy memristive neural networks: Lexicographical order method

R Li, J Cao - Fuzzy Sets and Systems, 2022 - Elsevier
This article focuses on a dissipativity and synchronization control method for a class of
delayed quaternion-valued memristor-based recurrent neural networks. On the basis of …

Extension of Zoutendijk method for solving constrained multiobjective optimization problems

V Morovati, L Pourkarimi - European Journal of Operational Research, 2019 - Elsevier
This paper extends the use of Zoutendijk method for constrained multiobjective optimization
problems. This extension is a nonparametric direction-based algorithm. More precisely …

Boosting with lexicographic programming: Addressing class imbalance without cost tuning

S Datta, S Nag, S Das - IEEE Transactions on Knowledge and …, 2019 - ieeexplore.ieee.org
A large amount of research effort has been dedicated to adapting boosting for imbalanced
classification. However, boosting methods are yet to be satisfactorily immune to class …

Multiple-objective as decisions in computing

MKM Nasution, M Elveny, R Syah - AIP Conference Proceedings, 2023 - pubs.aip.org
Automation in all lines of life, mainly in the Industry 4.0 era, requires computational
integration, including the formation of various objectives based on interests that come from …

Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded

SM Harwood, K Höffner, PI Barton - Numerische Mathematik, 2016 - Springer
This work analyzes the initial value problem in ordinary differential equations with a
parametric lexicographic linear program (LP) embedded. The LP is said to be embedded …

Lexicographic maximin optimisation for fair bandwidth allocation in computer networks

RM Salles, JA Barria - European Journal of Operational Research, 2008 - Elsevier
This paper addresses the problem of bandwidth allocation in multi-application computer
network environments. Allocations are determined from the solution of a multiple objective …

Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization

BA Ghaznavi-Ghosoni, E Khorram… - Optimization, 2013 - Taylor & Francis
In this article, approximate solutions of multi-objective optimization problems are analysed.
The notion of approximate solution suggested by Kutateladze is dealt with, and, utilizing …