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This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

Optimization and Control · Mathematics 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

The efficient allocation of human resources is a critical concern in software development and other industries. This paper introduces a rigorous mathematical methodology for task assignment, employing Mixed Integer Linear Programming (MILP)…

Optimization and Control · Mathematics 2025-12-16 Lokendra Kumar , Neelesh S. Upadhye , Kannan Piedy

This article describes the methodology for formulating and solving optimal pump scheduling problems with variable-speed pumps (VSPs) as mixed integer linear programs (MILPs) using piece-linear approximations of the network components. The…

Optimization and Control · Mathematics 2023-09-12 Tomasz Janus , Bogumil Ulanicki , Kegong Diao

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

This paper proposes a detailed optimal scheduling model of an exemplar multi-energy system comprising combined cycle power plants (CCPPs), battery energy storage systems, renewable energy sources, boilers, thermal energy storage…

Systems and Control · Computer Science 2018-11-26 Ashok Krishnan , Bhagyesh V. Patil , Foo Y. S. Eddy

Investigation of energy systems integrated with green chemical conversion, and in particular combi-nation of green hydrogen and synthetic methanation, is still a scarce subject in the literature in terms of optimal design and operation for…

Optimization and Control · Mathematics 2022-06-24 Su Tatar , Handan Akulker , Hasan Sildir , Erdal Aydin

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

The increasing share of volatile renewable electricity production motivates demand response. Substantial potential for demand response is offered by flexible processes and their local multi-energy supply systems. Simultaneous optimization…

Optimization and Control · Mathematics 2024-01-10 Florian Joseph Baader , Philipp Althaus , André Bardow , Manuel Dahmen

Energy efficiency is one of the most critical design criteria for modern embedded systems such as multiprocessor system-on-chips (MPSoCs). Dynamic voltage and frequency scaling (DVFS) and dynamic power management (DPM) are two major…

Operating Systems · Computer Science 2018-12-20 Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

This brief deals with the satisfaction of the daily cooling demand by a hybrid system that consists of a vapour-compression refrigeration cycle and a thermal energy storage (TES) unit, based on phase change materials. The addition of the…

Optimization and Control · Mathematics 2024-02-08 G. Bejarano , D. Rodríguez , J. M. Lemos , M. Vargas , M. G. Ortega

Due to the restricted resources, efficient scheduling in vertiports has received much more attention in the field of Urban Air Mobility (UAM). For the scheduling problem, we utilize a Mixed Integer Linear Programming (MILP), which is often…

Artificial Intelligence · Computer Science 2025-12-18 Jeongseok Kim , Kangjin Kim

Fast and accurate large-scale energy system models are needed to investigate the potential of storage to complement the fluctuating energy production of renewable energy systems. However, standard Mixed-Integer Programming (MIP) models that…

This paper proposes a reliable energy scheduling framework for distributed energy resources (DER) of a residential area to achieve an appropriate daily electricity consumption with the maximum affordable demand response. Renewable and…

Systems and Control · Electrical Eng. & Systems 2020-07-23 Anahita Moradmand , Mehrdad Dorostian , Bahram Shafai

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 transmission networks, power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that a specific more hierarchical network structure can effectively inhibit the propagation of line…

Optimization and Control · Mathematics 2025-02-06 Leon Lan , Alessandro Zocca

The goal to decarbonize the energy sector has led to increased research in modeling and optimizing multi-energy systems. One of the most promising techniques for modeling (multi-)energy optimization problems is mixed-integer programming…

Optimization and Control · Mathematics 2025-05-21 Stephanie Riedmüller , Annika Buchholz , Janina Zittel

Volatile electricity prices make demand response (DR) attractive for processes that can modulate their production rate. However, if nonlinear dynamic processes must be scheduled simultaneously with their local multi-energy system, the…

Optimization and Control · Mathematics 2024-01-10 Florian Joseph Baader , Philipp Althaus , André Bardow , Manuel Dahmen

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Imprecise computations provide an avenue for scheduling algorithms developed for energy-constrained computing devices by trading off output quality with the utilization of system resources. This work proposes a method for scheduling task…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood