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This paper presents a heuristic approach for solving the placement of Analog and Mixed-Signal Integrated Circuits. Placement is a crucial step in the physical design of integrated circuits. During this step, designers choose the position…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Josef Grus , Zdeněk Hanzálek

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

Optimization and Control · Mathematics 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

Linear programming (LP) is an extremely useful tool which has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2022-09-26 Agniva Chowdhury , Gregory Dexter , Palma London , Haim Avron , Petros Drineas

Floor planning is an important and difficult task in architecture. When planning office buildings, rooms that belong to the same organisational unit should be placed close to each other. This leads to the following NP-hard mathematical…

Computational Geometry · Computer Science 2021-07-13 Jonathan Klawitter , Felix Klesen , Alexander Wolff

Physical design and production of Integrated Circuits (IC) is becoming increasingly more challenging as the sophistication in IC technology is steadily increasing. Placement has been one of the most critical steps in IC physical design.…

Artificial Intelligence · Computer Science 2020-11-17 Dhruv Vashisht , Harshit Rampal , Haiguang Liao , Yang Lu , Devika Shanbhag , Elias Fallon , Levent Burak Kara

Analog-on-Top Mixed Signal (AMS) Integrated Circuit (IC) design is a time-consuming process predominantly carried out by hand. Within this flow, usually, some area is reserved by the top-level integrator for the placement of digital blocks.…

Metaheuristics are known to be strong in solving large-scale instances of computationally hard problems. However, their efficiency still needs exploration in the context of instance structure, scale and numerical properties for many of…

Computational Engineering, Finance, and Science · Computer Science 2018-01-11 David Chalupa , Peter Nielsen

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

Interior point methods (IPMs) are a common approach for solving linear programs (LPs) with strong theoretical guarantees and solid empirical performance. The time complexity of these methods is dominated by the cost of solving a linear…

Optimization and Control · Mathematics 2022-02-04 Gregory Dexter , Agniva Chowdhury , Haim Avron , Petros Drineas

Maritime Inventory Routing Problem (MIRP) plays a crucial role in the integration of global maritime commerce levels. However, there are still no well-established methodologies capable of efficiently solving large MIRP instances or their…

Artificial Intelligence · Computer Science 2025-06-13 Nathalie Sanghikian , Rafael Meirelles , Rafael Martinelli , Anand Subramanian

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

Consumer-electronics systems are becoming increasingly complex as the number of integrated applications is growing. Some of these applications have real-time requirements, while other non-real-time applications only require good average…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Anna Minaeva , Premysl Sucha , Benny Akesson , Zdenek Hanzalek

This paper approaches the integrated lot sizing and scheduling problem (ILSSP), in which non-identical machines work in parallel with non-triangular sequence-dependent setup costs and times, setup carry-over and capacity limitation. The aim…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-14 Desiree M. Carvalho , Mariá C. V. Nascimento

Quantum annealing is a heuristic algorithm for searching the ground state of an Ising model. Heuristic algorithms aim to obtain near-optimal solutions with a reasonable computation time. Accordingly, many algorithms have so far been…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki

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

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…

Integer linear programming (ILP) encompasses a very important class of optimization problems that are of great interest to both academia and industry. Several algorithms are available that attempt to explore the solution space of this class…

Emerging Technologies · Computer Science 2018-08-31 Fabio L. Traversa , Massimiliano Di Ventra

In this paper we introduce a new problem in the field of production planning which we call the Production Leveling Problem. The task is to assign orders to production periods such that the load in each period and on each production resource…

Artificial Intelligence · Computer Science 2020-06-17 Johannes Vass , Marie-Louise Lackner , Nysret Musliu

As we approach the physical limits predicted by Moore's law, a variety of specialized hardware is emerging to tackle specialized tasks in different domains. Within combinatorial optimization, adiabatic quantum computers, CMOS annealers, and…

Data Structures and Algorithms · Computer Science 2020-12-01 Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Avradip Mandal , Sarvagya Upadhyay , Ilya Safro , Arnab Roy

Large Neighborhood Search (LNS) is a common heuristic in combinatorial optimization that iteratively searches over a large neighborhood of the current solution for a better one. Recently, neural network-based LNS solvers have achieved great…

Machine Learning · Computer Science 2025-08-25 Shengyu Feng , Zhiqing Sun , Yiming Yang
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