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This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

Optimization and Control · Mathematics 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

In this paper, we consider the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network resources to meet diverse…

Information Theory · Computer Science 2022-03-01 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Given the growing concern of reducing CO2 emissions, it is desirable to identify, for a given separation carried out through a membrane cascade, the optimum design that yields the lowest energy consumption. Nevertheless, designing a…

Optimization and Control · Mathematics 2021-02-11 Jose Adrian Chavez Velasco , Radhakrishna Tumbalam Gooty , Mohit Tawarmalani , Rakesh Agrawal

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

Optimization and Control · Mathematics 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

In this paper, we describe the first mixed-integer nonlinear programming (MINLP) based solution approach that successfully identifies the most energy-efficient distillation configuration sequence for a given separation. Current sequence…

Optimization and Control · Mathematics 2020-10-26 Radhakrishna Tumbalam Gooty , Rakesh Agrawal , Mohit Tawarmalani

In this paper, we consider the network slicing (NS) problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and manage network resources to meet diverse…

Information Theory · Computer Science 2025-07-03 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

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…

In this paper, we consider the canonical water network design problem, which contains nonconvex potential loss functions and discrete resistance choices with varying costs. Traditionally, to resolve the nonconvexities of this problem,…

Optimization and Control · Mathematics 2020-10-08 Byron Tasseff , Russell Bent , Marina A. Epelman , Donatella Pasqualini , Pascal Van Hentenryck

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

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

Non-convex, nonlinear gas network optimization models are used to determine the feasibility of flows on existing networks given constraints on network flows, gas mixing, and pressure loss along pipes. This work improves two existing gas…

Optimization and Control · Mathematics 2025-01-22 Geonhee Kim , Christopher Lourenco , Daphne Skipper , Luze Xu

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 classic pump scheduling or Optimal Water Flow (OWF) problem for water distribution networks (WDNs) minimizes the cost of power consumption for a given WDN over a fixed time horizon. In its exact form, the OWF is a computationally…

This paper proposes an optimization strategy to assist utility operators to recover power distribution systems after large outages. Specifically, a mixed-integer linear programming (MILP) model is developed for co-optimizing crews,…

Optimization and Control · Mathematics 2019-05-09 Anmar Arif , Zhaoyu Wang , Jianhui Wang , Chen Chen

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

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 optimal selection, sizing, and location of small-scale technologies within a grid-connected distributed energy system (DES) can contribute to reducing carbon emissions, consumer costs, and network imbalances. This is the first study to…

Optimization and Control · Mathematics 2022-09-30 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

This paper investigates the water network's potential ability to provide demand response services to the power grid under the framework of a distribution-level water-energy nexus (micro-WEN). In particular, the hidden controllability of…

Optimization and Control · Mathematics 2018-05-22 Qifeng Li , Suhyoun Yu , Ameena S. Al-Sumaiti , Konstantin Turitsyn

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

Optimization and Control · Mathematics 2020-09-25 Fabian Neumann , Tom Brown
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