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An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

Local constraint is closely related to the gauge field, so constrained models are usually effective low energy descriptions and important in condensed matter physics. On the other hand, local restriction hinders the application of numerical…

Statistical Mechanics · Physics 2022-10-11 Zheng Yan

Firm clusters are seen as having a positive effect on innovations, what can be interpreted as economies of scale or knowledge spillovers. The processes underlying the success of these clusters remain difficult to isolate. We propose in this…

Multiagent Systems · Computer Science 2022-09-01 Juste Raimbault

We present a global optimization approach for solving the maximum a-posteriori (MAP) clustering problem under the Gaussian mixture model.Our approach can accommodate side constraints and it preserves the combinatorial structure of the MAP…

Machine Learning · Statistics 2020-03-18 Patrick Flaherty , Pitchaya Wiratchotisatian , Ji Ah Lee , Zhou Tang , Andrew C. Trapp

Predicting competitive outcomes typically requires fitting dynamical models to data, from which interaction strengths and coexistence indicators such as invasion criteria can be produced. Methods that allow to propagate parameter…

Populations and Evolution · Quantitative Biology 2025-04-10 Matthieu Paquet , Frédéric Barraquand

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

In this paper, we address a variant of the marketing mix optimization (MMO) problem which is commonly encountered in many industries, e.g., retail and consumer packaged goods (CPG) industries. This problem requires the spend for each…

Optimization and Control · Mathematics 2021-01-12 Hsin-Chan Huang , Jiefeng Xu , Alvin Lim

Scheduling multiple products with limited resources and varying demands remain a critical challenge for many industries. This work presents mixed integer programs (MIPs) that solve the Economic Lot Sizing Problem (ELSP) and other Dynamic…

Optimization and Control · Mathematics 2020-04-07 Wolfgang Garn

The growing integration of renewable energy sources into power systems requires planning models to account for not only demand variability but also fluctuations in renewable availability during operational periods. Capturing this temporal…

Optimization and Control · Mathematics 2025-12-19 Grigory Neustroev , Diego A. Tejada-Arango , German Morales-Espana , Mathijs M. de Weerdt

This paper considers the integrated problem of quay crane assignment, quay crane scheduling, yard location assignment, and vehicle dispatching operations at a container terminal. The main objective is to minimize vessel turnover times and…

Artificial Intelligence · Computer Science 2017-12-15 Damla Kizilay , Deniz T. Eliiyi , Pascal Van Hentenryck

In this study, we introduce an innovative deep learning framework that employs a transformer model to address the challenges of mixed-integer programs, specifically focusing on the Capacitated Lot Sizing Problem (CLSP). Our approach, to our…

Artificial Intelligence · Computer Science 2024-05-27 Joshua F. Cooper , Seung Jin Choi , I. Esra Buyuktahtakin

Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

Optimization and Control · Mathematics 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang

The p-center problem consists in selecting p facilities from a set of possible sites and allocating a set of clients to them in such a way that the maximum distance between a client and the facility to which it is allocated is minimized.…

Data Structures and Algorithms · Computer Science 2024-12-02 Zacharie Ales , Cristian Duran-Matelunaa , Sourour Elloumi

The concept of walkable urban development has gained increased attention due to its public health, economic, and environmental sustainability benefits. Unfortunately, land zoning and historic under-investment have resulted in spatial…

Optimization and Control · Mathematics 2022-12-13 Weimin Huang , Elias B. Khalil

A novel family of twelve mixture models with random covariates, nested in the linear $t$ cluster-weighted model (CWM), is introduced for model-based clustering. The linear $t$ CWM was recently presented as a robust alternative to the better…

Computation · Statistics 2015-03-10 Salvatore Ingrassia , Simona C. Minotti , Antonio Punzo

We propose an extended variant of the reformulation and decomposition algorithm for solving a special class of mixed-integer bilevel linear programs (MIBLPs) where continuous and integer variables are involved in both upper- and lower-level…

Optimization and Control · Mathematics 2018-07-03 Dajun Yue , Jiyao Gao , Bo Zeng , Fengqi You

This paper presents a novel clustering algorithm from the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) algorithmic family. The newly proposed clustering variant leverages the concept of similarity and…

Machine Learning · Computer Science 2024-07-11 MZ Naser , Ahmed Naser

Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

The cyclic hoist scheduling problem originates in electroplating lines, where a single or multiple hoists transport parts between processing tanks subject to technological constraints. The objective is typically to determine a cyclic…

Optimization and Control · Mathematics 2026-03-26 Markó Horváth

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano
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