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This paper deals with an extension of the hub line location problem considering demand elasticity with respect to travel times. The proposed model aims to capture the impact the hub network topology has on demand. The objective is to…

Optimization and Control · Mathematics 2024-03-29 Brenda Cobeña , Ivan Contreras , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

We consider large-scale linear inverse problems in Bayesian settings. Our general approach follows a recent line of work that applies the approximate message passing (AMP) framework in multi-processor (MP) computational systems by storing…

Information Theory · Computer Science 2016-11-17 Junan Zhu , Ahmad Beirami , Dror Baron

This paper extends our previous work in [1],[2], on optimal scheduling of autonomous vehicle arrivals at intersections, from one to a grid of intersections. A scalable distributed Mixed Integer Linear Program (MILP) is devised that solves…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Faraz Ashtiani , S. Alireza Fayazi , Ardalan Vahidi

This paper studies the scheduling of a large population of non-preemptive flexible electric loads, each of which has a flexible starting time but once started will follow a fixed load shape until completion. We first formulate the…

Optimization and Control · Mathematics 2025-03-10 Mehdi Davoudi , Mingyu Chen , Junjie Qin

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…

Demand for healthcare is increasing rapidly. To meet demand, we must improve the efficiency of our public health services. We present a mixed integer programming (MIP) formulation that simultaneously tackles the integrated Master Surgical…

Optimization and Control · Mathematics 2019-06-07 Belinda Spratt , Erhan Kozan

The package shipment problem requires to optimally co-design paths for both packages and a heterogeneous fleet in a transit center network (TCN). Instances arising from the package delivery industry in China usually involve more than ten…

Systems and Control · Electrical Eng. & Systems 2022-02-09 Zhuolin Wang , Rongping Zhu , Jian-Ya Ding , Yu Yang , Keyou You

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Mixed-integer rounding (MIR) cutting planes (cuts) are effective at improving the strength of a linear relaxation for mixed-integer linear programming (MIP) problems. The cuts in this family are derived by aggregating constraints then…

Optimization and Control · Mathematics 2024-12-16 Oscar Guaje , Arnaud Deza , Aleksandr M. Kazachkov , Elias B. Khalil

This study addresses the urban transit pattern design problem, optimizing stop sequences, headways, and fleet sizes across multiple routes and periods simultaneously to minimize user costs (composed of riding, waiting, and transfer times)…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Max T. M. Ng , Draco Tong , Hani S. Mahmassani , Omer Verbas , Taner Cokyasar

We present new models of optimization-based task and motion planning (TAMP) for robotic pick-and-place (P&P), which plan action sequences and motion trajectory with low computational costs. We improved an existing state-of-the-art TAMP…

Robotics · Computer Science 2022-01-24 Takuma Kogo , Kei Takaya , Hiroyuki Oyama

We introduce an efficient computational framework for solving a class of multi-marginal martingale optimal transport problems, which includes many robust pricing problems of large financial interest. Such problems are typically…

Computational Finance · Quantitative Finance 2025-03-21 Linn Engström , Sigrid Källblad , Johan Karlsson

This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different metric spaces are simultaneously decided to maximize the demand generated by a set of…

Optimization and Control · Mathematics 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama

The rapid growth of urban populations and the increasing need for sustainable transportation solutions have prompted a shift towards electric buses in public transit systems. However, the effective management of mixed fleets consisting of…

Optimization and Control · Mathematics 2026-01-14 Rishav Sen , Amutheezan Sivagnanam , Aron Laszka , Ayan Mukhopadhyay , Abhishek Dubey

Mixed-Integer Quadratic Programming (MIQP) has been identified as a suitable approach for finding an optimal solution to the behavior planning problem with low runtimes. Logical constraints and continuous equations are optimized alongside.…

Robotics · Computer Science 2021-01-14 Klemens Esterle , Tobias Kessler , Alois Knoll

A crucial role of container shipping is maximizing container uptake onto vessels, optimizing the efficiency of a fundamental part of the global supply chain. In practice, liner shipping companies include block stowage patterns that ensure…

Optimization and Control · Mathematics 2024-08-16 Jaike van Twiller , Agnieszka Sivertsen , Rune M. Jensen , Kent H. Andersen

In this paper, we study the cooperative operation problem between the fleet operator and incentive-aware customers in an on-demand delivery system. Specifically, the fleet operator offers discounts on transportation costs in exchange of the…

Systems and Control · Electrical Eng. & Systems 2023-10-13 Canqi Yao , Shibo Chen , Zaiyue Yang

The goal to decarbonize the energy sector has led to increased research in modeling and optimizing multi-energy systems. One of the most promising techniques for modeling (multi-)energy optimization problems is mixed-integer programming…

Optimization and Control · Mathematics 2025-05-21 Stephanie Riedmüller , Annika Buchholz , Janina Zittel

The problem of Multi-agent Path Finding (MAPF) consists in providing agents with efficient paths while preventing collisions. Numerous solvers have been developed so far since MAPF is critical for practical applications such as automated…

Multiagent Systems · Computer Science 2020-12-15 Keisuke Okumura , Yasumasa Tamura , Xavier Défago