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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

Gas transportation and storage has become one of the most relevant and important optimization problems in energy systems. This problem inherently includes highly nonlinear and nonconvex aspects due to gas physics, and discrete aspects due…

Optimization and Control · Mathematics 2025-04-28 Bahar Cennet Okumusoglu , Burak Kocuk

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

Many power systems operation and planning computations (e.g., transmission and generation switching and placement) solve a mixed-integer nonlinear problem (MINLP) with binary variables representing the decision to connect devices to the…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Aayushya Agarwal , Amritanshu Pandey , Larry Pillegi

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

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

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

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.…

Optimization and Control · Mathematics 2023-04-04 Handan Akulker , Erdal Aydin

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

While mixed-integer linear programming and convex programming solvers have advanced significantly over the past several decades, solution technologies for general mixed-integer nonlinear programs (MINLPs) have yet to reach the same level of…

Optimization and Control · Mathematics 2026-04-07 Danial Davarnia , Mohammadreza Kiaghadi , Junyuan Qiu

A decision support system relies on frequent re-solving of similar problem instances. While the general structure remains the same in corresponding applications, the input parameters are updated on a regular basis. We propose a generative…

Optimization and Control · Mathematics 2021-02-04 Lovis Anderson , Mark Turner , Thorsten Koch

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

Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated as a mixed-integer nonlinear program (MINLP), is…

Optimization and Control · Mathematics 2026-01-13 Sai Krishna Kanth Hari , Russell Bent

This work attempts to combine the strengths of two major technologies that have matured over the last three decades: global mixed-integer nonlinear optimization and branch-and-price. We consider a class of generally nonconvex mixed-integer…

Optimization and Control · Mathematics 2020-01-08 Andrew Allman , Qi Zhang

This research explores the joint expansion planning of power and water distribution networks, which exhibit interdependence at various levels. We specifically focus on the dependency arising from the power consumption of pumps and develop…

Optimization and Control · Mathematics 2023-12-19 Sai Krishna Kanth Hari , Ahmed Zamzam , Byron Tasseff , Russell Bent , Clayton Barrows

We examine the problem of optimal transport capacity expansion planning for a gas pipeline network to service the growing demand of gas-fired power plants that are increasingly used to provide base load, flexibility, and reserve generation…

Optimization and Control · Mathematics 2021-01-27 Kaarthik Sundar , Sidhant Misra , Anatoly Zlotnik , Russell Bent

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 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

In this report, a detailed description of an MINLP model for decentralized energy supply network optimization is given. This model includes the possibility of extending gas transmission lines, local choice of heating technology, as well as…

Optimization and Control · Mathematics 2022-12-14 Carl Eggen , Thanh-Van Huynh , Moritz Link , Paul Stephan , Stefan Volkwein

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…

Optimization and Control · Mathematics 2015-10-08 Anshul Agarwal
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