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This paper considers the generalized maximal covering location problem (GMCLP) which establishes a fixed number of facilities to maximize the weighted sum of the covered customers, allowing customer weights to be positive or negative. Due…

最优化与控制 · 数学 2025-05-12 Wei Lv , Cheng-Yang Yu , Jie Liang , Wei-Kun Chen , Yu-Hong Dai

Mixed-Integer Second-Order Cone Programs (MISOCPs) form a nice class of mixed-inter convex programs, which can be solved very efficiently due to the recent advances in optimization solvers. Our paper bridges the gap between modeling a class…

最优化与控制 · 数学 2022-06-22 Amir Ahmadi-Javid , Pooya Hoseinpour

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

最优化与控制 · 数学 2022-08-30 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

In mobile edge computing (MEC) systems, edge service caching refers to pre-storing the necessary programs for executing computation tasks at MEC servers. At resource-constrained edge servers, service caching placement is in general a…

网络与互联网体系结构 · 计算机科学 2020-04-15 Suzhi Bi , Liang Huang , Ying-Jun Angela Zhang

This paper introduces a novel algorithm for Mixed-Integer Nonlinear Programming (MINLP) problems with multilinear interpolations of look-up tables. These problems arise when objective or constraints contain black-box functions only known at…

Mixed-integer (MI) quadratic models subject to quadratic constraints, known as All-Quadratic MI Programs, constitute a challenging class of NP-complete optimization problems. The particular scenario of unbounded integers defines a subclass…

最优化与控制 · 数学 2025-09-16 Guy Zepko , Ofer M. Shir

This paper presents an evaluation of the design decisions made in four state-of-the-art constraint solvers; Choco, ECLiPSe, Gecode, and Minion. To assess the impact of design decisions, instances of the five problem classes n-Queens, Golomb…

人工智能 · 计算机科学 2010-02-02 Lars Kotthoff

Optimization solvers based on methods from constraint programming (OR-Tools, Chuffed, Gecode), optimization modulo theory (Z3), and mathematical programming (CPLEX) are successfully applied nowadays to solve many non-trivial examples.…

计算机科学中的逻辑 · 计算机科学 2023-08-23 Bogdan David , Madalina Erascu

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…

机器人学 · 计算机科学 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

The effects of personnel scheduling on the quality of care and working conditions for healthcare personnel have been thoroughly documented. However, the ever-present demand and large variation of constraints make healthcare scheduling…

人工智能 · 计算机科学 2025-06-03 Alvin Combrink , Stephie Do , Kristofer Bengtsson , Sabino Francesco Roselli , Martin Fabian

Mixed integer nonlinear programs (MINLPs) are arguably among the hardest optimization problems, with a wide range of applications. MINLP solvers that are based on linear relaxations and spatial branching work similar as mixed integer…

最优化与控制 · 数学 2019-02-08 Jakob Witzig , Timo Berthold , Stefan Heinz

For over ten years, the constraint integer programming framework SCIP has been extended by capabilities for the solution of convex and nonconvex mixed-integer nonlinear programs (MINLPs). With the recently published version 8.0, these…

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

最优化与控制 · 数学 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

This report provides a comprehensive analysis of the performance of MindOpt Adapter for CPLEX 12.9 in benchmark testing. CPLEX, recognized as a robust Mixed Integer Programming (MIP) solver, has faced some scrutiny regarding its performance…

数学软件 · 计算机科学 2024-02-02 Mou Sun , Tao Li , Wotao Yin

Mixed-integer optimization solvers often find optimal solutions early in the search, yet spend the majority of computation time proving optimality. We exploit this by learning when to terminate solvers early on distributions of similar…

最优化与控制 · 数学 2026-02-03 Stefan Clarke , Bartolomeo Stellato

The job-shop scheduling is one of the most studied optimization problems from the dawn of computer era to the present day. Its combinatorial nature makes it easily expressible as a constraint satisfaction problem. In this paper, we compare…

人工智能 · 计算机科学 2019-09-19 Giacomo Da Col , Erich Teppan

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

神经与进化计算 · 计算机科学 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

Computational speed and global optimality are key needs for practical algorithms for the optimal power flow problem. Two convex relaxations offer a favorable trade-off between the standard second-order cone and the standard semidefinite…

最优化与控制 · 数学 2021-12-23 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP). Extended formulations lead to fewer iterations of outer…

最优化与控制 · 数学 2016-06-02 Miles Lubin , Emre Yamangil , Russell Bent , Juan Pablo Vielma

The single row facility layout problem (SRFLP) is a well-studied NP-hard combinatorial optimization problem with applications in manufacturing and logistics systems. In the SRFLP, a set of facilities with lengths is given, as well as…

最优化与控制 · 数学 2025-06-12 Thomas Pammer , Markus Sinnl
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