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Background: Multi-collimator proton minibeam radiation therapy (MC-pMBRT) has recently emerged as a versatile technique for dose shaping, enabling peak-valley dose patterns in organs-at-risk (OAR) while maintaining a uniform dose…

Medical Physics · Physics 2025-02-25 Nimita Shinde , Weijie Zhang , Yuting Lin , Hao Gao

Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route planning problems become increasingly challenging. In this context, we consider the…

Optimization and Control · Mathematics 2024-10-03 Daniela Gaul , Kathrin Klamroth , Christian Pfeiffer , Arne Schulz , Michael Stiglmayr

We consider integer programming problems with bounded general-integer variables belonging to the general class of network flow problems. For those, we computationally investigate the effect on mixed-integer linear programming (MIP) solvers…

Optimization and Control · Mathematics 2026-04-09 Pierre Bonami , Sanjeeb Dash , Anton Derkach , Andrea Lodi

Increasing the efficiency and effectiveness of the healthcare system is a challenge faced worldwide. Many outpatient clinics have implemented two-stage service systems, with both a physician and physician assistant, to enhance capacity and…

Optimization and Control · Mathematics 2025-11-11 Pelin Keşrit , Chelliah Sriskandarajah , Jon M. Stauffer

The traditional demand-responsive paratransit system plays an important role in connecting people to health care, particularly those who are carless, low-income, senior, underinsured/uninsured, or who have a disability. However, the…

Optimization and Control · Mathematics 2020-12-22 Xiaojian Zhang , Yu Yang , Abigail L. Cochran , Noreen McDonald , Xilei Zhao

Electromagnetic follow-up of gravitational wave detections is very resource intensive, taking up hours of limited observation time on dozens of telescopes. Creating more efficient schedules for follow-up will lead to a commensurate increase…

Instrumentation and Methods for Astrophysics · Physics 2022-08-31 B. Parazin , Michael W. Coughlin , Leo P. Singer , Vaidehi Gupta , Shreya Anand

We present a compact mixed integer program (MIP) for the backhaul profit maximization problem in which a freight carrier seeks to generate profit from an empty delivery vehicle's backhaul trip from its last scheduled delivery to its depot…

Optimization and Control · Mathematics 2020-06-16 Yuanyuan Dong , Yulan Bai , Eli V. Olinick , Andrew Junfang Yu

In this paper, we propose a novel mixed integer programming model to formulate integrated operating room planning and scheduling problems, where several mandatory and elective surgeries are to be assigned and scheduled in operating rooms on…

Optimization and Control · Mathematics 2026-04-28 Mahdi Dolatkhah , Hossein Hashemi Doulabi , Walter Rei , Michel Gendreau

Aggregation constraints, arising from geographical or sectoral division, frequently emerge in a large set of time series. Coherent forecasts of these constrained series are anticipated to conform to their hierarchical structure organized by…

Applications · Statistics 2026-02-27 Zhichao Wang , Shanshan Wang , Wei Cao , Fei Yang

Cutting plane methods play a significant role in modern solvers for tackling mixed-integer programming (MIP) problems. Proper selection of cuts would remove infeasible solutions in the early stage, thus largely reducing the computational…

Optimization and Control · Mathematics 2021-10-11 Zeren Huang , Kerong Wang , Furui Liu , Hui-ling Zhen , Weinan Zhang , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

We give an explicit geometric way to build mixed-integer programming (MIP) formulations for unions of polyhedra. The construction is simply described in terms of spanning hyperplanes in an r-dimensional linear space. The resulting MIP…

Optimization and Control · Mathematics 2019-10-11 Joey Huchette , Juan Pablo Vielma

We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP). Extended formulations lead to fewer iterations of outer…

Optimization and Control · Mathematics 2016-06-02 Miles Lubin , Emre Yamangil , Russell Bent , Juan Pablo Vielma

This paper describes a method for scheduling the events of a switched system to achieve an optimal performance. The approach has guarantees on convergence and computational complexity that parallel derivative-based iterative optimization…

Optimization and Control · Mathematics 2017-09-11 Timothy Caldwell , Todd Murphey

The roll-out of a flexible ramping product provides Independent System Operators (ISOs) with the ability to address ramping capacity shortages. ISOs procure flexible ramping capability by committing more generating units or reserving a…

Optimization and Control · Mathematics 2019-05-07 Hyeongon Park , Bing Huang , Ross Baldick

In this study, we provided a scheduling procedure which is a combination of machine learning and mathematical programming that minimizes the waiting time of higher priority outpatients. Outpatients who request for appointment in healthcare…

Signal Processing · Electrical Eng. & Systems 2024-01-02 Niloofar Yousefi , Farhad Hasankhani , Mahsa Kiani , Nooshin Yousefi

Mixed-integer convex programming (MICP) has seen significant algorithmic and hardware improvements with several orders of magnitude solve time speedups compared to 25 years ago. Despite these advances, MICP has been rarely applied to…

Robotics · Computer Science 2022-04-12 A. Cauligi , P. Culbertson , B. Stellato , D. Bertsimas , M. Schwager , M. Pavone

A software agent may be a member of a Multi-Agent System (MAS) which is collectively performing a range of complex and intelligent tasks. In the hospital, scheduling decisions are finding difficult to schedule because of the dynamic changes…

Artificial Intelligence · Computer Science 2012-06-11 G. Mageshwari , E. Grace Mary Kanaga

Assigning patients to rooms and nurses to patients are critical tasks within hospitals that directly affect patient and staff satisfaction, quality of care, and hospital efficiency. Both patient-to-room assignments and nurse-to-patient…

Some of today's most significant challenges in urban environments concern individual mobility and rapid parcel delivery. With the surge of e-commerce and the ever-increasing volume of goods to be handled, new logistic solutions are in high…

Data Structures and Algorithms · Computer Science 2023-02-22 Ana Beatriz Herthel , Richard Hartl , Anand Subramanian , Thibaut Vidal

We present a two-level branch-and-bound (BB) algorithm to compute the optimal gripper pose that maximizes a grasp metric in a restricted search space. Our method can take the gripper's kinematics feasibility into consideration to ensure…

Robotics · Computer Science 2022-01-17 Min Liu , Zherong Pan , Kai Xu , Dinesh Manocha
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