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This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of Benders decomposition and the Bees Algorithm, to create the…

Optimization and Control · Mathematics 2019-03-12 Cameron A. G. MacRae , Melih Ozlen , Andreas T. Ernst

We solve the Bin Packing problem in $O^*(2^k)$ time, where $k$ is the number of items less or equal to one third of the bin capacity. This parameter measures the distance from the polynomially solvable case of only large (i.e., greater than…

Data Structures and Algorithms · Computer Science 2022-07-19 Alexandra Lassota , Aleksander Łukasiewicz , Adam Polak

We show how to extract alternative solutions for optimization problems solved by Benders Decomposition. In practice, alternative solutions provide useful insights for complex applications; some solvers do support generation of alternative…

Optimization and Control · Mathematics 2025-09-12 Matthew Viens , William E. Hart , Michael Ferris

In this paper we present a fast scalable heuristic for bin packing that partitions the given problem into identical sub-problems of constant size and solves these constant size sub-problems by considering only a constant number of bin…

Data Structures and Algorithms · Computer Science 2019-04-30 Srikrishnan Divakaran

Recent progress in the field of robotic manipulation has generated interest in fully automatic object packing in warehouses. This paper proposes a formulation of the packing problem that is tailored to the automated warehousing domain.…

Robotics · Computer Science 2018-12-12 Fan Wang , Kris Hauser

This paper addresses the Quadratic Multiple Constraints Variable-Sized Bin Packing Problem (QMC-VSBPP), a challenging combinatorial optimization problem that generalizes the classical bin packing problem by incorporating multiple capacity…

Neural and Evolutionary Computing · Computer Science 2026-03-27 Natalia A. Santos , Marlon Jeske , Antonio A. Chaves

The ubiquitous Variable-Byte encoding is one of the fastest compressed representation for integer sequences. However, its compression ratio is usually not competitive with other more sophisticated encoders, especially when the integers to…

Information Retrieval · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Rossano Venturini

High-dimensional motion planning problems can often be solved significantly faster by using multilevel abstractions. While there are various ways to formally capture multilevel abstractions, we formulate them in terms of fiber bundles.…

Robotics · Computer Science 2023-10-24 Andreas Orthey , Sohaib Akbar , Marc Toussaint

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is based on a macro-micro decomposition of the kinetic model in…

Numerical Analysis · Mathematics 2025-09-09 William A. Sands , Wei Guo , Jing-Mei Qiu , Tao Xiong

In this paper, we develop a new decomposition technique for solving bi-objective linear programming problems. The proposed methodology combines the bi-objective simplex algorithm with Benders decomposition and can be used to obtain a…

Optimization and Control · Mathematics 2024-09-02 Andrea Raith , Richard Lusby , Ali Akbar Sohrabi Yousefkhan

Indexing moving objects has been extensively studied in the past decades. Moving objects, such as vehicles and mobile device users, usually exhibit some patterns on their velocities, which can be utilized for velocity-based partitioning to…

Databases · Computer Science 2015-04-23 Xiaofeng Xu , Li Xiong , Vaidy Sunderam , Jinfei Liu , Jun Luo

We introduce a novel quantum computing heuristic for solving the irregular strip packing problem, a significant challenge in optimizing material usage across various industries. This problem involves arranging a set of irregular polygonal…

Quantum Physics · Physics 2024-02-28 Paul-Amaury Matt , Marco Roth

Edge caching and computing have been regarded as an efficient approach to tackle the wireless spectrum crunch problem. In this paper, we design a general coded caching with device computing strategy for content computation, e.g., virtual…

Information Theory · Computer Science 2020-02-17 Yingjiao Li , Zhiyong Chen , Meixia Tao

The 3D Bin Packing Problem (3D-BPP) is one of the most demanded yet challenging problems in industry, where an agent must pack variable size items delivered in sequence into a finite bin with the aim to maximize the space utilization. It…

Robotics · Computer Science 2022-08-16 Aaron Valero Puche , Sukhan Lee

In combined heat and power systems, varying mass flow can better make use of the heating system inertia to increase the flexibility of electric power systems. This is challenging, however, due to integer variables and bilinear constraints…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Xin Qin , Ye Guo , Xinwei Shen , Hongbin Sun

This paper considers the problem of reducing the broadcast decoding delay of wireless networks using instantly decodable network coding (IDNC) based device-to-device (D2D) communications. In a D2D configuration, devices in the network can…

Information Theory · Computer Science 2015-05-22 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Hong-Chuan Yang , Mohamed-Slim Alouini

The rigid registration of two 3D point sets is a fundamental problem in computer vision. The current trend is to solve this problem globally using the BnB optimization framework. However, the existing global methods are slow for two main…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Xuechen Li , Yinlong Liu , Yiru Wang , Chen Wang , Manning Wang , Zhijian Song

2D irregular shape packing is a necessary step to arrange UV patches of a 3D model within a texture atlas for memory-efficient appearance rendering in computer graphics. Being a joint, combinatorial decision-making problem involving all…

Graphics · Computer Science 2023-09-20 Zeshi Yang , Zherong Pan , Manyi Li , Kui Wu , Xifeng Gao

In this paper, we introduce a mixed integer quadratic formulation for the congested variant of the partial set covering location problem, which involves determining a subset of facility locations to open and efficiently allocating customers…

Optimization and Control · Mathematics 2024-01-24 Alice Calamita , Ivana Ljubić , Laura Palagi