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Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines learning methods on solver heuristics has shown potential to overcome this issue allowing for applications…

Robotics · Computer Science 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

We study the problem of scheduling a general computational DAG on multiple processors in a 2-level memory hierarchy. This setting is a natural generalization of several prominent models in the literature, and it simultaneously captures…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Pál András Papp , Toni Böhnlein , A. N. Yzelman

A new approach to solving a large class of factorable nonlinear programming (NLP) problems to global optimality is presented in this paper. Unlike the traditional strategy of partitioning the decision-variable space employed in many…

Optimization and Control · Mathematics 2015-04-28 Gene A. Bunin

Integer Linear Programs (ILPs) are powerful tools for modeling and solving a large number of combinatorial optimization problems. Recently, it has been shown that Large Neighborhood Search (LNS), as a heuristic algorithm, can find high…

Artificial Intelligence · Computer Science 2024-01-17 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

In this work we are interested in nonlinear symmetric cone problems (NSCPs), which contain as special cases nonlinear semidefinite programming, nonlinear second order cone programming and the classical nonlinear programming problems. We…

Optimization and Control · Mathematics 2025-07-14 Bruno F. Lourenço , Ellen H. Fukuda , Masao Fukushima

The pooling problem is an important industrial problem in the class of network flow problems for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling problem with time discretization, we propose second…

Optimization and Control · Mathematics 2018-04-10 Masaki Kimizuka , Sunyoung Kim , Makoto Yamashita

We study a class of generalized linear programs (GLP) in a large-scale setting, which includes simple, possibly nonsmooth convex regularizer and simple convex set constraints. By reformulating (GLP) as an equivalent convex-concave min-max…

Optimization and Control · Mathematics 2023-04-10 Chaobing Song , Cheuk Yin Lin , Stephen J. Wright , Jelena Diakonikolas

Case-Based Planning (CBP) provides a way of scaling up domain-independent planning to solve large problems in complex domains. It replaces the detailed and lengthy search for a solution with the retrieval and adaptation of previous planning…

Artificial Intelligence · Computer Science 2009-09-25 L. H. Ihrig , S. Kambhampati

Concurrent Constraint Programming (CCP) is a declarative model for concurrency where agents interact by telling and asking constraints (pieces of information) in a shared store. Some previous works have developed (approximated) declarative…

Logic in Computer Science · Computer Science 2017-02-13 Moreno Falaschi , Maurizio Gabbrielli , Carlos Olarte , Catuscia Palamidessi

Many nonlinear optimal control and optimization problems involve constraints that combine continuous dynamics with discrete logic conditions. Standard approaches typically rely on mixed-integer programming, which introduces scalability…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Jad Wehbeh , Eric C. Kerrigan

We show that various recent algorithms for finite-domain constraint satisfaction problems (CSP), which are based on solving their affine integer relaxations, do not solve all tractable and not even all Maltsev CSPs. This rules them out as…

Computational Complexity · Computer Science 2026-01-09 Moritz Lichter , Benedikt Pago

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

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

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

Data Structures and Algorithms · Computer Science 2021-04-20 Xiaocheng Li , Yinyu Ye

Consistent query answering over a database that violates primary key constraints is a classical hard problem in database research that has been traditionally dealt with logic programming. However, the applicability of existing logic-based…

Artificial Intelligence · Computer Science 2015-07-23 Marco Manna , Francesco Ricca , Giorgio Terracina

CoAlgebraic Logic Programming (CoALP) is a dialect of Logic Programming designed to bring a more precise compile-time and run-time analysis of termination and productivity for recursive and corecursive functions in Logic Programming. Its…

Programming Languages · Computer Science 2014-05-21 Jónathan Heras , Ekaterina Komendantskaya , Martin Schmidt

Given a family of linear constraints and a linear objective function one can consider whether to apply a Linear Programming (LP) algorithm or use a Linear Superiorization (LinSup) algorithm on this data. In the LP methodology one aims at…

Optimization and Control · Mathematics 2026-01-27 Jan Schröder , Yair Censor , Philipp Süss , Karl-Heinz Küfer

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

Large-scale linear programs (LPs) arise in many decision systems, including ranking, allocation, and matching problems that must be solved repeatedly at massive scale. Prior work such as ECLIPSE and LinkedIn's open-source DuaLip showed that…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Gregory Dexter , Aida Rahmattalabi , Sanjana Garg , Qinquan Song , Ruby Tu , Yuan Gao , Yi Zhang , Zhipeng Wang , Rahul Mazumder

Optimization modeling underpins decision-making in logistics, manufacturing, energy, and finance, yet translating natural-language requirements into correct optimization formulations and solver-executable code remains labor-intensive.…

Machine Learning · Computer Science 2026-05-27 Zhong Li , Hongliang Lu , Tao Wei , Yuxuan Chen , Wenyu Liu , Yuan Lan , Fan Zhang , Zaiwen Wen