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To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu

We propose three novel mathematical optimization formulations that solve the same two-type heterogeneous multiprocessor scheduling problem for a real-time taskset with hard constraints. Our formulations are based on a global scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

In this paper, we present an exact algorithm for optimizing two linear fractional over the efficient set of a multi-objective integer quadratic problem. This type of problems arises when two decision-makers, such as firms, each have a…

Optimization and Control · Mathematics 2024-02-05 Ali Bencheikh , Mustapha Moulai , Ilies Badaoui

This paper provides a classification of real scheduling problems. Various ways have been examined and described on the problem. Scheduling problem faces a tremendous challenges and difficulties in order to meet the preferences of the…

Optimization and Control · Mathematics 2012-05-11 Suliadi F. Sufahani , Siti N. A. Mohd Razali , Zuhaimy Ismail

This paper proposes a control-oriented optimization platform for autonomous mobile robots (AMRs), focusing on extending battery life while ensuring task completion. The requirement of fast AMR task planning while maintaining minimum battery…

Robotics · Computer Science 2025-06-16 Jiachen Li , Chu Jian , Feiyang Zhao , Shihao Li , Wei Li , Dongmei Chen

We consider the class of single machine scheduling problems with the objective to minimize the weighted number of late jobs, under the assumption that completion due-dates are not known precisely at the time when decision-maker must provide…

Data Structures and Algorithms · Computer Science 2017-08-11 Maciej Drwal

The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss. It is a mixed integer nonlinear program and hence hard to solve. A popular…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven H. Low

This paper presents a mixed-integer linear programming formulation for the multi-mode resource-constrained project scheduling problem with uncertain activity durations. We consider a two-stage robust optimisation approach and find solutions…

Optimization and Control · Mathematics 2022-03-15 Matthew Bold , Marc Goerigk

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

Discrete Mathematics · Computer Science 2017-06-13 Maciej Drwal

This paper treats an optimal scheduling problem of control nodes in networked systems. We newly introduce both the L0 and l0 constraints on control inputs to extract a time-varying small number of effective control nodes. As the cost…

Optimization and Control · Mathematics 2021-08-31 Takuya Ikeda , Kazunori Sakurama , Kenji Kashima

Multiagent planning and coordination problems are common and known to be computationally hard. We show that a wide range of two-agent problems can be formulated as bilinear programs. We present a successive approximation algorithm that…

Artificial Intelligence · Computer Science 2014-01-16 Marek Petrik , Shlomo Zilberstein

This paper studies the joint optimization of edge node activation and resource pricing in edge computing, where an edge computing platform provides heterogeneous resources to accommodate multiple services with diverse preferences. We cast…

Optimization and Control · Mathematics 2025-07-15 Duong Thuy Anh Nguyen , Tarannum Nisha , Ni Trieu , Duong Tung Nguyen

This paper proposes an iterative method to solve Mixed-Integer Optimal Control Problems arising from systems with switched dynamics. The so-called relaxed problem plays a central role within this context. Through a numerical example, it is…

Optimization and Control · Mathematics 2025-12-09 Ramin Abbasi-Esfeden , Wim Van Roy , Jan Swevers

This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order…

Optimization and Control · Mathematics 2012-06-01 Maryam Mohammadi , Masine Md. Tap

In bi-objective integer optimization the optimal result corresponds to a set of non-dominated solutions. We propose a generic bi-objective branch-and-bound algorithm that uses a problem-independent branching rule exploiting available…

Data Structures and Algorithms · Computer Science 2018-09-19 Sophie N. Parragh , Fabien Tricoire

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

The resource recharging station location routing problem is a generalization of the location routing problem with sophisticated and critical resource consumption and recharging constraints. Based on a representation of discretized acyclic…

Optimization and Control · Mathematics 2016-02-24 Gongyuan Lu , Xuesong Zhou , Qiyuan Peng , Bisheng He , Monirehalsadat Mahmoudi , Jun Zhao

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

Optimization and Control · Mathematics 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger

The reconfiguration of electrical power distribution systems is a crucial optimization problem aimed at minimizing power losses by altering the system topology through the operation of interconnection switches. This problem, typically…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Pablo Cortes , Alejandra Tabares , Fredy Franco , Astrid Xiomara Rodríguez , David Álvarez-Martínez

Demand response services at the distribution level are emerging as enabling strategies for improving grid reliability in the presence of intermittent renewable generation and grid congestion. For residential loads, space heating and…

Optimization and Control · Mathematics 2025-05-22 Erhan Can Ozcan , Emiliano Dall'Anese , Ioannis Ch. Paschalidis