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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

Multi-Objective Mixed-Integer Non-Linear Programming problems (MO-MINLPs) appear in several real-world applications, especially in the mechanical engineering field. To determine a good approximated Pareto front for this type of problems, we…

最优化与控制 · 数学 2021-05-17 Ahmed Jaber , Pascal Lafon , Rafic Younes

The energy sector has become priority around the world with developing technology and increasing power and energy demand. That all sources for energy production are not renewable increases greenhouse gas emissions and causes global warming.…

最优化与控制 · 数学 2023-04-04 Handan Akulker , Erdal Aydin

Precision tuning or customized precision number representations is emerging, in these recent years, as one of the most promising techniques that has a positive impact on the footprint of programs concerning energy consumption, bandwidth…

软件工程 · 计算机科学 2022-03-16 Dorra Ben Khalifa , Matthieu Martel

The food production industry, especially the meat production sector, faces many challenges that have even escalated due to the recent outbreak of the energy crisis in the European Union. Therefore, efficient use of input materials is an…

人工智能 · 计算机科学 2025-07-23 Marek Vlk , Premysl Sucha , Jaroslaw Rudy , Radoslaw Idzikowski

This paper explores the critical domain of Revenue Management (RM) within Operations Research (OR), focusing on intricate pricing dynamics. Utilizing Mixed Integer Linear Programming (MILP) models, the study enhances revenue optimization by…

最优化与控制 · 数学 2024-04-08 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

Mixed Integer Linear Programs (MILPs) are essential tools for solving planning and scheduling problems across critical industries such as construction, manufacturing, and logistics. However, their widespread adoption is limited by long…

机器学习 · 计算机科学 2025-06-10 Xiaoke Wang , Batuhan Altundas , Zhaoxin Li , Aaron Zhao , Matthew Gombolay

The floor layout problem (FLP) tasks a designer with positioning a collection of rectangular boxes on a fixed floor in such a way that minimizes total communication costs between the components. While several mixed integer programming (MIP)…

最优化与控制 · 数学 2017-04-12 Joey Huchette , Santanu S. Dey , Juan Pablo Vielma

Because an agents resources dictate what actions it can possibly take, it should plan which resources it holds over time carefully, considering its inherent limitations (such as power or payload restrictions), the competing needs of other…

多智能体系统 · 计算机科学 2014-01-17 Jianhui Wu , Edmund H. Durfee

Strategic bidding problems in electricity markets are widely studied in power systems, often by formulating complex bi-level optimization problems that are hard to solve. The state-of-the-art approach to solve such problems is to…

最优化与控制 · 数学 2016-06-21 Mahdi Ghamkhari , Ashkan Sadeghi-Mobarakeh , Hamed Mohsenian-Rad

It has been verified that the linear programming (LP) is able to formulate many real-life optimization problems, which can obtain the optimum by resorting to corresponding solvers such as OptVerse, Gurobi and CPLEX. In the past decades, a…

最优化与控制 · 数学 2022-01-19 Xijun Li , Qingyu Qu , Fangzhou Zhu , Jia Zeng , Mingxuan Yuan , Kun Mao , Jie Wang

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

In optimization problems, often equations and inequalities are represented using if-else (implication) construct which is known to be equivalent to a disjunction. Such statements are modeled and incorporated in an optimization problem using…

最优化与控制 · 数学 2015-10-08 Anshul Agarwal

Product diversity is one of the prominent factors for customers' satisfaction, while from the firms' perspective, the additional engineering costs required for product diversity should not exceed the acquired profits from the increase in…

计算机科学与博弈论 · 计算机科学 2022-10-07 Samira Hossein Ghorban , Bardyaa Hesaam

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

最优化与控制 · 数学 2024-07-29 Hoang Giang Pham , Tien Mai

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

最优化与控制 · 数学 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

Today, a competitive manufacturing environment imposes further production cost reduction on modern companies. Seeking proper recommendations in production and maintenance planning are the two essential cornerstones of effective production…

信号处理 · 电气工程与系统科学 2020-12-24 Mohammad Arani , Mousaalreza Dastmard , Zhila Dehdari Ebrahimi , Mohsen Momenitabar , Xian Liu

Increasing the complexity of solving budgetary allocation (NP-hardness problem) has led a wide range of methods to minimize the costs. Metaheuristics and Linear Programming (LP) are the most optimization in this fields. Therefore, this…

动力系统 · 数学 2024-12-18 Ali Kadhim Yaqoob , Ahmad Kadri Junoh

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

数据库 · 计算机科学 2015-11-09 Immanuel Trummer , Christoph Koch

Resource allocation in wireless networks, such as device-to-device (D2D) communications, is usually formulated as mixed integer nonlinear programming (MINLP) problems, which are generally NP-hard and difficult to get the optimal solutions.…

信息论 · 计算机科学 2020-12-22 Mengyuan Lee , Guanding Yu , Geoffrey Ye Li