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Beam orientation optimization for intensity-modulated radiation therapy using mixed integer programming 10th

World Congress on Medical Physics and Biomedical Engineering

作者： Yang, Ruijie Dai, Jianrong Yang, Yong Hu, Yimin Chinese Acad Med Sci Peking Union Med Coll Dept Radiat Oncol Canc Hosp Inst POB 2258 Beijing 100021 Peoples R China Univ Pittsburgh Med Ctr Dept Radiat Oncol Pittsburgh PA 15232 USA

ISBN: (纸本)9783540368397

A novel beam orientation optimization algorithm for intensity-modulated radiation therapy (IMRT) was developed. In addition, the effect of candidate pool of beam orientations, in terms of beam orientation resolution and the starting orientation, on the optimized beam configuration, plan quality and the optimization time was also explored. The algorithm is based on the technique of mixed integer linear programming in which binary and positive float variables are employed to represent candidates of beam orientation and beamlet weights, respectively. Both beam orientations and beam intensity maps are simultaneously optimized in the algorithm with a deterministic method. Several clinical cases were used to test the algorithm and the results showed that both target coverage and critical structures sparing were significantly improved for the plans with optimized beam orientations compared to those with equi-spaced beam orientations. The calculation time was less than an hour for the cases with 36 binary variables on a PC with a Pentium IV 2.66 GHz processor. It is also found that decreasing beam orientation resolution to 10 degrees greatly reduced the size of candidate pool of beam orientations without significant influence on the optimized beam configuration and plan quality, while selecting different starting orientations had large influence. Our study demonstrates that the algorithm can be applied to IMRT scenarios and better beam orientation configurations can be obtained using this algorithm. Furthermore, the optimization efficiency can be greatly improved through proper selection of beam orientation resolution and the starting beam orientation while guaranteeing the optimized beam configurations and plan quality.

关键词： beam orientation optimization intensity-modulated radiation therapy mixed integer programming beam orientation resolution starting beam orientation

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Overlay Multicast Optimization: IBM ILOG CPLEX

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INTERNATIONAL JOURNAL OF ELECTRONICS AND TELECOMMUNICATIONS 2012年第4期58卷 381-388页

作者： Kucharzak, Michal Zydek, Dawid Pozniak-Koszalka, Iwona Wroclaw Univ Technol Dept Syst & Comp Networks Wroclaw Poland Idaho State Univ Dept Elect Engn Pocatello ID 83209 USA

IBM ILOG CPLEX Optimization Studio delivers advanced and complex optimization libraries that solve linear programming (LP) and related problems, e.g., mixed integer. Moreover, the optimization tool provides users with its Academic Research Edition, which is available for teaching and noncommercial research at no-charge. This paper describes the usage of CPLEX C++ API for solving linear problems and, as an exhaustive example, optimization of network flows in overlay multicast is taken into account. Applying continuous and integral variables and implementing various constraints, including equations and inequalities, as well as setting some global parameters of the solver are presented and widely explained.

关键词： Overlay multicast maximum flows linear programming mixed integer programming

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A mixed integer programming model to locate traumatic brain injury treatment units in the Department of Veterans Affairs: A case study

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Health Care Management Science 2007年第3期10卷 253-267页

作者： Côté, Murray J. Syam, Siddhartha S. Vogel, W. Bruce Cowper, Diane C. Department of Medicine Health Sciences Center University of Colorado at Denver Aurora CO 80045 United States Department of Management Marquette University Milwaukee WI 53201 United States VA Rehabilitation Outcomes Research Center Gainesville FL 32608 United States

For the Department of Veterans Affairs (VA), traumatic brain injury (TBI) is a significant problem facing active duty military personnel, veterans, their families, and caregivers. The VA has designated TBI treatment as one of its physical medicine and rehabilitation special emphasis programs, thereby providing a comprehensive array of treatment services to those military personnel and veterans with TBI. Timely treatment of TBI is critical in achieving maximal recovery, and being in geographical proximity to a medical center with specialized TBI treatment services is a major determinant of whether such treatment is utilized. We present a mixed integer programming model for locating TBI treatment units in the VA. This model was developed for the VA Rehabilitation Strategic Healthcare Group to assist in locating new TBI treatment units. The optimization model assigns TBI treatment units to existing VA medical centers while minimizing the sum of patient treatment costs, patient lodging and travel costs, and the penalty costs associated with foregone treatment revenue and excess capacity utilization. We demonstrate our model with VA TBI admission data from one of the VA's integrated service networks, and discuss the expected service and cost implications for a range of TBI treatment unit location options. © Springer Science+Business Media, LLC 2007.

关键词： Facility location and allocation Health care planning mixed integer programming Traumatic brain injury Veterans health

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The Order Planning based on Load Balance for the Iron-Steel Plant

The Order Planning based on Load Balance for the Iron-Steel ...

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第24届中国控制与决策会议

作者： Tao Zhang 1 , Yuejie Zhang 2 , Lili Xu 1 , Zongjin Wang 1 , Yi Yu 1 1. School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai 2004332. School of Computer Science, Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai 200433

Based on load balance ideas, this paper constructs an integer programming model for the order planning of the steel-iron enterprise, whose objective is to minimize the total cost including earliness-tardiness penalty, load imbalance penalty, order cancellation penalty. According to the characteristics of the model, a scatter search algorithm with heuristic repaired strategy for infeasible solutions is designed. To examine algorithm's efficiency and effectiveness, this paper also uses genetic algorithm to solve the model. Using several sets of practical order data as instances, this paper analyzes the two algorithms' results. The numerical analysis shows that the model and the scatter search algorithm are valid.

关键词： order planning load balance mixed integer programming scatter search (SS) genetic algorithm (GA)

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The Order Planning based on Load Balance for the Iron-Steel Plant

The Order Planning based on Load Balance for the Iron-Steel ...

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The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

作者： Tao Zhang Lili Xu Zongjin Wang Yi Yu Yuejie Zhang School of Information Management and Engineering Shanghai University of Finance and Economics Shan School of Computer Science Key Laboratory of Intelligent Information Processing Fudan University

Based on load balance ideas, this paper constructs an integer programming model for the order planning of the steel-iron enterprise, whose objective is to minimize the total cost including earliness-tardiness penalty, load imbalance penalty, order cancellation penalty. According to the characteristics of the model, a scatter search algorithm with heuristic repaired strategy for infeasible solutions is designed. To examine algorithm’s efficiency and effectiveness, this paper also uses genetic algorithm to solve the model. Using several sets of practical order data as instances, this paper analyzes the two algorithms’ results. The numerical analysis shows that the model and the scatter search algorithm are valid.

关键词： order planning load balance mixed integer programming scatter search (SS) genetic algorithm (GA)

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N-1-1 Contingency-Constrained Optimal Power Flow by Interdiction Methods

N-1-1 Contingency-Constrained Optimal Power Flow by Interdic...

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IEEE Power and Energy Society General Meeting

作者： Neng Fan Richard Chen Jean-Paul Watson Discrete Math and Complex Systems Department Sandia National Laboratories Albuquerque NM 87185 USA Quantitative Modeling and Analysis Sandia National Laboratories Livermore CA 94551 USA

ISBN: (纸本)9781467327275

N-1-1 contingency analysis considers the consecutive loss of two elements in a power system, with intervening time for operator adjustments;the associated reliability criterion was recently included in the NERC Standard TPL-001-1. In this paper, we introduce optimization models for N-1-1 contingency analysis, based on DC optimal power flow considerations. We use mixed-integer programming approaches to optimally model the system adjustments required to avoid potential cascading outages during the primary and secondary contingencies. Contingencies are determined via worst-case interdiction analysis. To facilitate operation during the secondary contingency, line overloads and load shedding are allowed. We test our models and algorithms on several IEEE test systems. Our computational experiments indicate potential for the models to augment comprehensive system operations models, such as unit commitment.

关键词： N-1-1 contingency analysis optimal power flow power flow interdiction mixed integer programming Strain analysis Test systems optimal load flow reliability criteria power systems Power flow load shedding Unit commitment Surgery Operating systems

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THE ROLE OF ENERGY STORAGE SYSTEMS TO MANAGE RES VOLATILITY IN DAY-AHEAD SCHEDULING

THE ROLE OF ENERGY STORAGE SYSTEMS TO MANAGE RES VOLATILITY ...

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IEEE International Energy Conference and Exhibition

作者： Francesco Careri Camillo Genesi Mario Montagna Stefano Rossi Department of Industrial and Information Engineering University of Pavia Via Ferrata 1 27100 Pavia Italy

ISBN: (纸本)9781467314534

Large scale exploitation of Renewable Energy Sources (RES) and their sustainable integration in the power system are important and challenging goals for transmission system operators because of the unpredictability of most of these sources. The aim of this paper is to highlight the advantages, in terms of enhanced RES exploitation and improved system flexibility, deriving from the coordinated management of wind power generation and energy storage systems: in particular, a Residual Unit Commitment procedure is proposed in order to provide the generation resources required to satisfy reserve and transmission network constraints. The resulting model consists in a large scale mixed-integer programming problem which is solved by the CPLEX optimization package. Tests on the IEEE 24 bus system will be presented.

关键词： Energy Storage Systems Residual Unit Commitment Wind Power Dispatch mixed integer programming

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Circle-Clustering: A New Heuristic Partitioning Method for the Clustering Problem

Circle-Clustering: A New Heuristic Partitioning Method for t...

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International Joint Conference on Neural Networks

作者： Gonzalo E. Paredes Luis S. Vargas Department of Electrical Engineering University of Chile

ISBN: (纸本)9781467314886

This paper present a novel method to perform clustering of time-series and static data. The method, named Circle-Clustering (CirCle), could be classified as a partition method that uses criteria from SVM and hierarchical methods to perform a better clustering. Different heuristic clustering techniques were tested against the CirCle method by using data sets from UCI Machine Learning Repository. In all tests, CirCle obtained good results and outperformed most of clustering techniques considered in this work. In addition, CirCle was tested against others heuristic techniques considering time-series data from electric feeders in Santiago, Chile's capital city. The optimal solution of the min-cut clustering optimization problem was solved in order to identify the optimal solution for 883 datasets. The results show that the proposed method obtains an average of 81% of well-classified samples in all datasets. Also, as compared to other algorithms, CirCle made a better classification in 98.7% of the datasets as compared to the Model-Base Best BIC. As compared to K-means, Robust K-means and Ward's methods the new algorithm classified better in nearly 68% of the datasets.

关键词： Component Heuristic clustering techniques mixed integer programming partitioning method Dataset Circles Cluster Analysis Heuristics dividing and cutting machine optimal solution time series data

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Mathematical programming Model Concerning City and Urban Traffic

Mathematical Programming Model Concerning City and Urban Tra...

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International Conference on Soft Computing and Intelligent Systems

作者： Takuya Matsumoto Tsutomu Inamoto Hisashi Tamaki Hyogo Prefectural Institute of Technology Graduate School of System Informatics Kobe University

ISBN: (纸本)9781467327428

The aim of our research is to acquire ideal images of city and urban traffic for various purpose. To achieve the aim, we propose optimization models which consist of city, mobilities and inhabitants. There are two models we are proposed from point of view of accuracy and computation time. One is relatively accurate but takes a lot of time to compute. The other is less accurate, however, larger problems can be computed than the former model. The former model could not solve practical size due to computational time. Through computational experiment using extreme evaluation values, validness of latter model is suggested.

关键词： Optimization Urban traffic mixed integer programming

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Numerical Comparison of Optimal Charging Schemes for Electric Vehicles

Numerical Comparison of Optimal Charging Schemes for Electri...

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IEEE Power and Energy Society General Meeting

作者： S. You J. Hu A.B. Pedersen P.B. Andersen C. N. Rasmussen S. Cha Centre for Electric Technology Department of Electrical Engineering Technical University of Denmark Kgs. Lyngby DK2880 Denmark

ISBN: (纸本)9781467327275

The optimal charging schemes for Electric vehicles (EV) generally differ from each other in the choice of charging periods and the possibility of performing vehicle-to-grid (V2G), and have different impacts on EV economics. Regarding these variations, this paper presents a numerical comparison of four different charging schemes, namely night charging, night charging with V2G, 24 hour charging and 24 hour charging with V2G, on the basis of real driving data and electricity price of Denmark in 2003. For all schemes, optimal charging plans with 5 minute resolution are derived through the solving of a mixed integer programming problem which aims to minimize the charging cost and meanwhile takes into account the users' driving needs and the practical limitations of the EV battery. In the post processing stage, the rainflow counting algorithm is implemented to assess the lifetime usage of a lithium-ion EV battery for the four charging schemes. The night charging scheme is found to be the cheapest solution after conducting an annual cost comparison.

关键词： Index Terms-Electric vehicle mixed integer programming optimal charging rainflow counting vehicle-to-grid V2G Electric vehicles CHARGING(ACCOUNTTNG) charging optimal charging Charging schemes

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