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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

We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

Optimization and Control · Mathematics 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt

Recent road trials have shown that guaranteeing the safety of driving decisions is essential for the wider adoption of autonomous vehicle technology. One promising direction is to pose safety requirements as planning constraints in…

Robotics · Computer Science 2021-06-07 Francisco Eiras , Majd Hawasly , Stefano V. Albrecht , Subramanian Ramamoorthy

Routing problems are canonical combinatorial optimization tasks with wide-ranging applications in logistics, transportation, and supply chain management. However, solving these problems becomes significantly more challenging when complex…

Optimization and Control · Mathematics 2026-04-06 Tianyou Li , Haijun Zou , Jiayuan Wu , Zaiwen Wen

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

Fluid Dynamics · Physics 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

Numerical Analysis · Mathematics 2023-07-26 Jovan Žigić

We study a dynamic scenario of the static route planning problem in road networks. Particularly, we put accent on the most practical dynamic case - increased edge weights (up to infinity). We show how to enhance the scope-based route…

Data Structures and Algorithms · Computer Science 2012-05-22 Petr Hliněný , Ondrej Moriš

The increase in congestion in surface traffic, airborne pollution, and other environmental issues have motivated the transit authorities to promote public transit worldwide. In big cities and large metropolitan areas, adding new rapid…

Optimization and Control · Mathematics 2025-12-09 Natividad González-Blanco , Antonio J. Lozano , Vladimir Marianov , Juan A. Mesa

This paper studies strategies to optimize the lane configuration of a transportation network for a given set of Origin-Destination demands using a planning macroscopic network flow model. The lane reversal problem is, in general, NP-hard…

Optimization and Control · Mathematics 2021-07-16 Salomon Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

We present an approach for solving to optimality the budget-constrained Dynamic Uncapacitated Facility Location and Network Design problem (DUFLNDP). This is a problem where a network must be constructed or expanded and facilities placed in…

Optimization and Control · Mathematics 2017-03-21 Robin H Pearce , Michael Forbes

We propose a novel probabilistic approach to multilevel clustering problems based on composite transportation distance, which is a variant of transportation distance where the underlying metric is Kullback-Leibler divergence. Our method…

Machine Learning · Computer Science 2018-10-30 Nhat Ho , Viet Huynh , Dinh Phung , Michael I. Jordan

Classically, the time complexity of a first-order method is estimated by its number of gradient computations. In this paper, we study a more refined complexity by taking into account the `lingering' of gradients: once a gradient is computed…

Optimization and Control · Mathematics 2019-05-29 Zeyuan Allen-Zhu , David Simchi-Levi , Xinshang Wang

We study a vehicle-based hub network design problem (HNDPv) with the main applications in freight distribution and parcel delivery systems, where the economies of scale stem from the effective utilization of vehicles that move consolidated…

Optimization and Control · Mathematics 2023-01-12 Mohammad Saleh Farham , Borzou Rostami , Michael Haughton

This work presents a method for constructing online-efficient reduced models of large-scale systems governed by parametrized nonlinear scalar conservation laws. The solution manifolds induced by transport-dominated problems such as…

Numerical Analysis · Mathematics 2021-01-01 Donsub Rim , Benjamin Peherstorfer , Kyle T. Mandli

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

Mobility-on-demand systems are transforming the way we think about the transportation of people and goods. Most research effort has been placed on scalability issues for systems with a large number of agents and simple pick-up/drop-off…

Formal Languages and Automata Theory · Computer Science 2022-08-15 Kaier Liang , Cristian-Ioan Vasile

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

This paper studies bipedal locomotion as a nonlinear optimization problem based on continuous and discrete dynamics, by simultaneously optimizing the remaining step duration, the next step duration and the foot location to achieve…

Robotics · Computer Science 2018-05-08 Wenbin Hu , Iordanis Chatzinikolaidis , Kai Yuan , Zhibin Li

This study addresses the challenge of efficiently assigning locomotives in large freight rail networks, where operational complexity and power imbalances make cost-effective planning difficult. It presents a strategic optimization framework…

Optimization and Control · Mathematics 2025-07-31 Yunji Kim , Amira Hijazi , Kevin Dalmeijer , Pascal Van Hentenryck

We propose a dynamic programming algorithm that constructs delay-optimized circuits for alternating And-Or paths with prescribed input arrival times. Our algorithm fulfills best-known approximation guarantees and empirically outperforms…

Data Structures and Algorithms · Computer Science 2020-09-21 Ulrich Brenner , Anna Hermann