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Model-based clustering is a technique widely used to group a collection of units into mutually exclusive groups. There are, however, situations in which an observation could in principle belong to more than one cluster. In the context of…

Applications · Statistics 2016-05-13 Saverio Ranciati , Cinzia Viroli , Ernst Wit

The p-center problem consists in selecting p centers among M to cover N clients, such that the maximal distance between a client and its closest selected center is minimized. For this problem we propose two new and compact integer…

Optimization and Control · Mathematics 2023-02-10 Zacharie Ales , Sourour Elloumi

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

The paper seeks to interpret the interface between innovation, industry and urban business agglomeration, by trying to understand how local/regional entrepreneurs and social agents use the forces of agglomeration to organize productive…

General Economics · Economics 2023-11-17 Edilson Pereira Junior

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

Optimization and Control · Mathematics 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

The Dynamic Modified Stochastic p-Median Problem (DMS-p-MP) is an important problem in supply chain network design, as it deals with the optimal location of facilities and the allocation of demand in a dynamic and uncertain environment. In…

Optimization and Control · Mathematics 2023-01-30 Amir Hossein Sadeghi , Ziyuan Sun , Amirreza Sahebi Fakhrabad , Hamid Arzani , Robert B. Handfield

The problem of computing an exact experimental design that is optimal for the least-squares estimation of the parameters of a regression model is considered. We show that this problem can be solved via mixed-integer linear programming…

Computation · Statistics 2024-06-18 Radoslav Harman , Samuel Rosa

Regionalization is the task of dividing up a landscape into homogeneous patches with similar properties. Although this task has a wide range of applications, it has two notable challenges. First, it is assumed that the resulting regions are…

Machine Learning · Computer Science 2019-05-22 Shuai Yuan , Pang-Ning Tan , Kendra Spence Cheruvelil , Sarah M. Collins , Patricia A. Soranno

In project scheduling under processing times uncertainty, the Anchor-Robust Project Scheduling Problem is to find a baseline schedule of bounded makespan and a max-weight subset of jobs whose starting times are guaranteed. The problem was…

Optimization and Control · Mathematics 2021-06-24 Pascale Bendotti , Philippe Chrétienne , Pierre Fouilhoux , Adèle Pass-Lanneau

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

Project scheduling in manufacturing environments often requires flexibility in terms of the selection and the exact length of alternative production activities. Moreover, the simultaneous scheduling of multiple lots is mandatory in many…

Artificial Intelligence · Computer Science 2020-10-26 Viktoria A. Hauder , Andreas Beham , Sebastian Raggl , Sophie N. Parragh , Michael Affenzeller

We introduce the nested $p$-center problem, which is a multi-period variant of the well-known $p$-center problem. The use of the nesting concept allows to obtain solutions, which are consistent over the considered time horizon, i.e.,…

Optimization and Control · Mathematics 2024-09-18 Christof Brandstetter , Markus Sinnl

Mixed-integer programming (MIP) technology offers a generic way of formulating and solving combinatorial optimization problems. While generally reliable, state-of-the-art MIP solvers base many crucial decisions on hand-crafted heuristics,…

Machine Learning · Computer Science 2022-05-31 Elias B. Khalil , Christopher Morris , Andrea Lodi

We propose a new approach -- called PK-clustering -- to help social scientists create meaningful clusters in social networks. Many clustering algorithms exist but most social scientists find them difficult to understand, and tools do not…

Human-Computer Interaction · Computer Science 2021-05-18 Alexis Pister , Paolo Buono , Jean-Daniel Fekete , Catherine Plaisant , Paola Valdivia

A numerical method is developed to solve linear semi-infinite programming problem (LSIP) in which the iterates produced by the algorithm are feasible for the original problem. This is achieved by constructing a sequence of standard linear…

Optimization and Control · Mathematics 2021-01-26 Shuxiong Wang

This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order…

Optimization and Control · Mathematics 2012-06-01 Maryam Mohammadi , Masine Md. Tap

Research interest in Grid computing has grown significantly over the past five years. Management of distributed resources is one of the key issues in Grid computing. Central to management of resources is the effectiveness of resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Rajiv Ranjan , Aaron Harwood , Rajkumar Buyya

Convolution trees, loopy belief propagation, and fast numerical p-convolution are combined for the first time to efficiently solve networks with several additive constraints between random variables. An implementation of this "convolution…

Computation · Statistics 2017-08-23 Oliver Serang