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A new multi-objective method for the thesis defence scheduling problem is introduced. The problem involves appointing committees to defences and assigning them to a time slot and room. A multi-objective approach is necessary to provide a…

Optimization and Control · Mathematics 2024-11-26 João Almeida , Alexandre Francisco , Daniel Santos , José Rui Figueira

The Set-union Knapsack Problem (SUKP) is a generalization of the popular 0-1 knapsack problem. Given a set of weighted elements and a set of items with profits where each item is composed of a subset of elements, the SUKP involves packing a…

Artificial Intelligence · Computer Science 2019-03-14 Zequn Wei , Jin-Kao Hao

In scheduling and timetabling applications, the mutual-exclusion constraint stipulates that certain pairs of tasks that cannot be executed at the same time. This corresponds to the vertex colouring problem in graph theory, for which there…

Optimization and Control · Mathematics 2019-04-09 Jakub Marecek , Andrew J. Parkes

This paper presents an efficient approach for the evaluation of multi-parametric mixed integer quadratic programming (mp-MIQP) solutions, occurring for instance in control problems involving discrete time hybrid systems with quadratic cost.…

Optimization and Control · Mathematics 2014-07-08 Alexander Fuchs , Daniel Axehill , Manfred Morari

With the growth of complexity and extent, large scale interconnected network systems, e.g. transportation networks or infrastructure networks, become more vulnerable towards external disruptions. Hence, managing potential disruptive events…

Systems and Control · Electrical Eng. & Systems 2022-09-29 Jiaxin Wu , Pingfeng Wang

One of the most fundamental problems in Computer Science is the Knapsack problem. Given a set of n items with different weights and values, it asks to pick the most valuable subset whose total weight is below a capacity threshold T. Despite…

Data Structures and Algorithms · Computer Science 2018-07-16 Kyriakos Axiotis , Christos Tzamos

Multi Expression Programming (MEP) is a Genetic Programming variant that uses linear chromosomes for solution encoding. A unique feature of MEP is its ability of encoding multiple solutions of a problem in a single chromosome. In this paper…

Neural and Evolutionary Computing · Computer Science 2021-09-28 Mihai Oltean , Crina Groşan , Mihaela Oltean

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

Artificial Intelligence · Computer Science 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

In this paper, a new upper bound for the Multiple Knapsack Problem (MKP) is proposed, based on the idea of relaxing MKP to a {\em Bounded Sequential Multiple Knapsack Problem}, i.e., a multiple knapsack problem in which item sizes are…

Optimization and Control · Mathematics 2020-10-12 Paolo Detti

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

This paper introduces an extension to the Orienteering Problem (OP), called Clustered Orienteering Problem with Subgroups (COPS). In this variant, nodes are arranged into subgroups, and the subgroups are organized into clusters. A reward is…

Artificial Intelligence · Computer Science 2023-12-29 Luciano E. Almeida , Douglas G. Macharet

This paper addresses the problem of tightening the mixed-integer linear programming (MILP) formulation for continuous piecewise linear (CPWL) approximations of data sets in arbitrary dimensions. The MILP formulation leverages the…

Optimization and Control · Mathematics 2026-01-08 Quentin Ploussard , Xiang Li , Matija Pavičević

We address a challenging tank blending and scheduling problem regarding operations for a chemical plant. We model the problem as a nonconvex MIQCP, then approximate this model as a MILP using a discretization-based approach. We combine a…

Optimization and Control · Mathematics 2020-06-16 Benjamin Beach , Robert Hildebrand , Kimberly Ellis , Baptiste Lebreton

With the accelerated development of Industry 4.0, intelligent manufacturing systems increasingly require efficient task allocation and scheduling in multi-robot systems. However, existing methods rely on domain expertise and face challenges…

Artificial Intelligence · Computer Science 2025-03-19 Mingming Peng , Zhendong Chen , Jie Yang , Jin Huang , Zhengqi Shi , Qihao Liu , Xinyu Li , Liang Gao

This paper focuses on the problem of supplying the workstations of assembly lines with components during the production process. For that specific problem, this paper presents a Mixed Integer Linear Program (MILP) that aims at minimizing…

A MILP model for an extended version of the Flexible Job Shop Scheduling problem is proposed. The extension allows the precedences between operations of a job to be given by an arbitrary directed acyclic graph rather than a linear order.…

Data Structures and Algorithms · Computer Science 2014-01-16 Ernesto G. Birgin , Paulo Feofiloff , Cristina G. Fernandes , Everton L. de Melo , Marcio T. I. Oshiro , Débora P. Ronconi

We propose a new algorithm for solving multistage stochastic mixed integer linear programming (MILP) problems with complete continuous recourse. In a similar way to cutting plane methods, we construct nonlinear Lipschitz cuts to build lower…

Optimization and Control · Mathematics 2019-05-24 Shabbir Ahmed , Filipe Goulart Cabral , Bernardo Freitas Paulo da Costa

We consider the problem of finding an n-agent joint-policy for the optimal finite-horizon control of a decentralized Pomdp (Dec-Pomdp). This is a problem of very high complexity (NEXP-hard in n >= 2). In this paper, we propose a new…

Artificial Intelligence · Computer Science 2016-03-28 Raghav Aras , Alain Dutech , François Charpillet

The Multi-mode Resource Availability Cost Problem (MRACP) optimizes resource availability to minimize usage costs and is a recent project scheduling problem variant. The Multi-Mode On-Site Workshop Availability Cost Problem (MOSWACP)…

Optimization and Control · Mathematics 2025-01-07 Niloufar Mirzavand Boroujeni , Nima Moradi

Maintaining instantaneous balance between electricity supply and demand is critical for reliability and grid instability. System operators achieve this through solving the task of Unit Commitment (UC),ca high dimensional large-scale…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Muhy Eddin Za'ter , Anna Van Boven , Bri-Mathias Hodge , Kyri Baker