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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

In this paper, we develop a new decomposition technique for solving bi-objective linear programming problems. The proposed methodology combines the bi-objective simplex algorithm with Benders decomposition and can be used to obtain a…

Optimization and Control · Mathematics 2024-09-02 Andrea Raith , Richard Lusby , Ali Akbar Sohrabi Yousefkhan

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

Optimization and Control · Mathematics 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

Generation and Transmission Expansion Planning (GTEP) problems co-optimize generation and transmission expansion, enabling them to provide better planning decisions than traditional Generation Expansion Planning or Transmission Expansion…

Optimization and Control · Mathematics 2026-04-01 David L. Cole , Michael Lau , Xinliang Dai , Sambuddha Chakrabarti , Jesse D. Jenkins

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

Optimization and Control · Mathematics 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

Information Theory · Computer Science 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

Learning-based methods have shown promising performance for accelerating motion planning, but mostly in the setting of static environments. For the more challenging problem of planning in dynamic environments, such as multi-arm assembly…

Robotics · Computer Science 2025-06-13 Ruipeng Zhang , Chenning Yu , Jingkai Chen , Chuchu Fan , Sicun Gao

This paper proposes a joint decomposition method that combines La- grangian decomposition and generalized Benders decomposition, to efficiently solve multiscenario nonconvex mixed-integer nonlinear programming (MINLP) problems to global…

Optimization and Control · Mathematics 2018-02-22 Emmanuel Ogbe , Xiang Li

This paper considers the network slicing (NS) problem which attempts to map multiple customized virtual network requests to a common shared network infrastructure and allocate network resources to meet diverse service requirements. This…

Information Theory · Computer Science 2024-09-26 Wei-Kun Chen , Zheyu Wu , Rui-Jin Zhang , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Autonomous systems must solve motion planning problems subject to increasingly complex, time-sensitive, and uncertain missions. These problems often involve high-level task specifications, such as temporal logic or chance constraints, which…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Junyang Cai , Weimin Huang , Brendan Long , Matthew Cleaveland , Jyotirmoy V. Deshmukh , Lars Lindemann , Bistra Dilkina

We present an efficient task and motion replanning approach for sequential multi-object manipulation in dynamic environments. Conventional Task And Motion Planning (TAMP) solvers experience an exponential increase in planning time as the…

Robotics · Computer Science 2026-05-20 Yan Zhang , Teng Xue , Amirreza Razmjoo , Sylvain Calinon

Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different…

Optimization and Control · Mathematics 2025-11-14 Zhiyuan Yao , Anita Schöbel , Lei Nie , Sven Jäger

The p-median problem is a classic discrete location problem with several applications. It aims to open p sites while minimizing the sum of the distances of each client to its nearest open site. We study a Benders decomposition of the most…

Optimization and Control · Mathematics 2021-12-10 Cristian Durán Mateluna , Zacharie Alès , Sourour Elloumi

In Answer Set Programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the…

Artificial Intelligence · Computer Science 2023-05-23 Paola Cappanera , Marco Gavanelli , Maddalena Nonato , Marco Roma

We present a sampling-based kinodynamic planning framework for a bipedal robot in complex environments. Unlike other footstep planner which typically plan footstep locations and the biped dynamics in separate steps, we handle both…

Robotics · Computer Science 2018-07-11 Junhyeok Ahn , Orion Campbell , Donghyun Kim , Luis Sentis

Multi-sector capacity expansion models play a crucial role in energy planning by providing decision support for policymaking in technology development. To ensure reliable support, these models require high technological, spatial, and…

Optimization and Control · Mathematics 2025-04-14 Federico Parolin , Yu Weng , Paolo Colbertaldo , Ruaridh Macdonald

We propose a novel approach to solve K-adaptability problems with convex objective and constraints and integer first-stage decisions. A logic-based Benders decomposition is applied to handle the first-stage decisions in a master problem,…

Optimization and Control · Mathematics 2022-09-08 Alireza Ghahtarani , Ahmed Saif , Alireza Ghasemi , Erick Delage

Benders decomposition is widely used to solve large mixed-integer problems. This paper takes advantage of machine learning and proposes enhanced variants of Benders decomposition for solving two-stage stochastic security-constrained unit…

Optimization and Control · Mathematics 2023-11-21 Fouad Hasan , Amin Kargarian

Benders decomposition (BD), along with its generalized version (GBD), is a widely used algorithm for solving large-scale mixed-integer optimization problems that arise in the operation of process systems. However, the off-the-shelf…

Optimization and Control · Mathematics 2025-08-12 Zhe Li , Bernard T. Agyeman , Ilias Mitrai , Prodromos Daoutidis
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