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The main goal of distribution network (DN) expansion planning is essentially to achieve minimal investment constrained with specified reliability requirements. The reliability-constrained distribution network planning (RcDNP) problem can be…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Yaqi Sun , Wenchuan Wu , Yi Lin , Hai Huang , Hao Chen

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

Nowadays refinery optimization utilizes sheer amounts of data, which can be handled with modern Linear Programming (LP) software, but the interpreting and applying the results remains challenging. Large petrochemical companies use massive…

Bilevel optimization has been widely used in decision-making process. However, there still lacks an efficient algorithm to determine an optimal solution of a bilevel optimization problem, especially for a large-size problem. To bridge the…

Optimization and Control · Mathematics 2016-05-18 Xuan Liu , Zuyi Li

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

Cutting planes are crucial in solving mixed integer linear programs (MILP) as they facilitate bound improvements on the optimal solution. Modern MILP solvers rely on a variety of separators to generate a diverse set of cutting planes by…

Optimization and Control · Mathematics 2023-11-13 Sirui Li , Wenbin Ouyang , Max B. Paulus , Cathy Wu

In recent years, remanufacturing of End-of-Life (EOL) products has been adopted by manufacturing sectors as a competent practice to enhance their sustainability and market share. Due to the mass customization of products and high volatility…

Computational Engineering, Finance, and Science · Computer Science 2025-09-17 Behdin Vahedi-Nouri , Mohammad Rohaninejad , Zdeněk Hanzálek , Mehdi Foumani

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

Benders decomposition with adaptive oracles was proposed to solve large-scale optimisation problems with a column bounded block-diagonal structure, where subproblems differ on the right-hand side and cost coefficients. Adaptive Benders…

Optimization and Control · Mathematics 2022-09-09 Hongyu Zhang , Nicolò Mazzi , Ken McKinnon , Rodrigo Garcia Nava , Asgeir Tomasgard

A two-stage multi-period mixed-integer linear stochastic programming model is proposed to assist qualified operators in long-term generation and transmission expansion planning of electricity and gas systems to meet policy objectives. The…

Optimization and Control · Mathematics 2025-05-22 Giovanni Micheli , Maria Teresa Vespucci , Alessia Cortazzi , Cinzia Puglisi

This paper presents a novel solution technique for scheduling multi-energy system (MES) in a commercial urban building to perform price-based demand response and reduce energy costs. The MES scheduling problem is formulated as a mixed…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Mainak Dan , Seshadhri Srinivasan , Suresh Sundaram , Arvind Easwaran , Luigi Glielmo

Mixed integer linear programming (MILP) has seen a sharp rise in use for engineering optimization applications in recent years. Even for initially non-linear problems, it is often the method of choice. Then, the non-linear functions have to…

Optimization and Control · Mathematics 2023-09-20 Felix Birkelbach , David Huber , René Hofmann

In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders decomposition in which the unit commitment master problem is formulated as a mixed-integer problem with…

Optimization and Control · Mathematics 2020-11-24 M. Paredes , L. S. A. Martins , S. Soares , Hongxing Ye

In this paper, we consider a probabilistic set covering problem (PSCP) in which each 0-1 row of the constraint matrix is random with a finite discrete distribution, and the objective is to minimize the total cost of the selected columns…

Optimization and Control · Mathematics 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

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

Mobile edge computing (MEC) enhances the performance of 5G networks by enabling low-latency, high-speed services through deploying data units of the base station on edge servers located near mobile users. However, determining the optimal…

Networking and Internet Architecture · Computer Science 2025-06-17 Yunyi Wu , Yongbing Zhang

In recent years, it has become crucial to improve the resilience of electricity distribution networks (DNs) against storm-induced failures. Microgrids enabled by Distributed Energy Resources (DERs) can significantly help speed up…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Derek Chang , Devendra Shelar , Saurabh Amin

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

Optimization and Control · Mathematics 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

Mixed-integer linear programming (MILP) has been a fundamental problem in combinatorial optimization. Conventional MILP solving mainly relies on carefully designed heuristics embedded in the branch-and-bound framework. Driven by the strong…

Artificial Intelligence · Computer Science 2026-01-13 Siyuan Li , Yifan Yu , Zhihao Zhang , Mengjing Chen , Fangzhou Zhu , Tao Zhong , Peng Liu , Jianye Hao

Improving renewable energy resource utilization efficiency is crucial to reducing carbon emissions, and multi-parametric programming has provided a systematic perspective in conducting analysis and optimization toward this goal in smart…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Haitian Liu , Ye Guo , Hao Liu
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