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Combinatorial therapy discovery using mixed integer linear programming

BIOINFORMATICS 2014年第10期30卷 1456-1463页

作者： Pang, Kaifang Wan, Ying-Wooi Choi, William T. Donehower, Lawrence A. Sun, Jingchun Pant, Dhruv Liu, Zhandong Baylor Coll Med Computat & Integrat Biomed Res Ctr Houston TX 77030 USA Texas Childrens Hosp Jan & Dan Duncan Neurol Res Inst Houston TX 77030 USA Baylor Coll Med Dept Pediat Neurol Houston TX 77030 USA Baylor Coll Med Dept Obstet & Gynaecol Houston TX 77030 USA Baylor Coll Med Dept Mol Virol & Microbiol Houston TX 77030 USA Univ Texas Hlth Sci Ctr Houston Sch Biomed Informat Houston TX 77030 USA Univ Penn Dept Canc Biol Philadelphia PA 19104 USA

Motivation: Combinatorial therapies play increasingly important roles in combating complex diseases. Owing to the huge cost associated with experimental methods in identifying optimal drug combinations, computational approaches can provide a guide to limit the search space and reduce cost. However, few computational approaches have been developed for this purpose, and thus there is a great need of new algorithms for drug combination prediction. Results: Here we proposed to formulate the optimal combinatorial therapy problem into two complementary mathematical algorithms, Balanced Target Set Cover (BTSC) and Minimum Off-Target Set Cover (MOTSC). Given a disease gene set, BTSC seeks a balanced solution that maximizes the coverage on the disease genes and minimizes the off-target hits at the same time. MOTSC seeks a full coverage on the disease gene set while minimizing the off-target set. Through simulation, both BTSC and MOTSC demonstrated a much faster running time over exhaustive search with the same accuracy. When applied to real disease gene sets, our algorithms not only identified known drug combinations, but also predicted novel drug combinations that are worth further testing. In addition, we developed a web-based tool to allow users to iteratively search for optimal drug combinations given a user-defined gene set.

关键词： mixed integer linear programming COMBINATORIAL analysis CANCER CARDIOVASCULAR diseases PROTEINS

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Thyristor-Controlled Switch Capacitor Placement in Large-Scale Power Systems via mixed integer linear programming and Taylor Series Expansion

Thyristor-Controlled Switch Capacitor Placement in Large-Sca...

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IEEE PES General Meeting

作者： Ziaee, Omid Choobineh, F. Fred Univ Nebraska Dept Elect Engn Lincoln NE 68588 USA

ISBN: (纸本)9781479964154

Allocation of flexible alternating current transmission system (FACTS) devices to an electric power transmission network may be formulated as a nonlinear mathematical program. Solving such a nonlinear program for a large transmission network is computationally very expensive, and obtaining the optimal solution may be impossible. We present a Taylor series expansion approximation of the nonlinearities of the problem and propose a mixed integer linear program (MILP) for finding the optimum location and proper settings of a Thyristor-Controlled Series Capacitor (TCSC) in an electric power network. The objective of this problem is to minimize total generation cost based on the DC load flow model. The proposed method is implemented for the 118-bus IEEE test case and the results are discussed.

关键词： Flexible AC Transmission System DC optimal power flow mixed integer linear programming Taylor series expansion generation cost

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linear or mixed integer programming in long-term energy systems modeling - A comparative analysis for a local expanding heating system

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ENERGY 2023年 283卷

作者： Vilen, Karl Ahlgren, Erik O. Chalmers Univ Technol Dept Space Earth & Environm Div Energy Technol SE-41396 Gothenburg Sweden

Most computer models used in energy systems optimization modeling studies are formulated using linear equations. However, since linear formulations do not always well reflect real-world conditions, they may not always be adequate as policy and support tools. This is particularly the case for local system studies attempting to represent technologies at the individual scale, as in the case for local heating system modeling. Thus, the aim of this paper is to investigate differences in the resulting heating solutions and model solution times for a local expanding heating system. Three different investment cost structures for individual and district heating solutions for the heating of new housing are investigated using linear and mixed integer linear programming. The results show that the use of district heating is higher for the cost structures that use mixed integer linear programming than it is for the linear cost structures. This result is attributed mainly to the fact that individual air-to-water heat pumps benefit from the linear equation formulation due to its high coefficient of performance during summertime. This finding is important to consider when modeling local energy systems. The solution time is, however, significantly shorter for the linear formulations than for the mixed integer linear formulations.

关键词： Housing District heating Local energy system modeling TIMES mixed integer linear programming linear programming

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Volt/Var Optimization of Unbalanced Distribution Feeders via mixed integer linear programming

Volt/Var Optimization of Unbalanced Distribution Feeders via...

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2014 Power Systems Computation Conference (PSCC)

作者： Borghetti, Alberto Napolitano, Fabio Nucci, Carlo Alberto Univ Bologna Dept Elect Elect & Informat Engn Bologna Italy

ISBN: (纸本)9788393580132

The paper presents a mixed integer linear programming (MILP) model for the solution of the three-phase volt/var optimization (VVO) of medium voltage unbalanced distribution feeders. The VVO of a distribution feeder is aimed at calculating the most efficient operating conditions by means of the scheduling of transformers equipped with an on-load tap changer and distributed reactive power resources (such as embedded generators and switchable capacitors banks). The proposed model allows the representation of feeders composed by three-phase, two-phase, and single-phase lines, by transformers with different winding connections, by unbalanced wye- and delta-connected loads, by three-phase and single phase capacitor banks and embedded generators. The accuracy of the results is verified by using IEEE Test Feeders.

关键词： power distribution feeders unbalanced networks volt/var optimization mixed integer linear programming

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Optimal Microgrid Component Sizing using mixed integer linear programming

Optimal Microgrid Component Sizing using Mixed Integer Linea...

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IEEE Transportation Electrification Conference and Expo (ITEC)

作者： Yu, Xiang Eric Malysz, Pawel Sirouspour, Shahin Emadi, Ali McMaster Univ Hamilton ON L8S 4L8 Canada

ISBN: (纸本)9781479956159

This paper proposes a novel method for determining the optimal number of renewable energy and storage components in a microgrid given typical load profiles, local pricing regime, and capital costs. Case studies using solar panels and advanced lead acid battery modules are performed under residential, commercial, and off-grid sites. Simple mixed integer linear programming (MILP) optimization problems are formulated, presented, and solved in each scenario where economic analysis highlights the utility of the proposed approach.

关键词： Batteries Economics Electricity Microgrids Optimization Pricing mixed integer linear programming MICRO-GRID Pricing Batteries Electricity economics component sizing Solar collectors

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Performance analysis of mixed integer linear programming with Wavelength Division Multiplexing 2

Performance analysis of Mixed Integer Linear Programming wit...

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2nd International Conference on Devices, Circuits and Systems (ICDCS)

作者： Vinolee, R. Bhaskar, Vidhyacharan SRM Univ Dept Elect & Commun Engn Kattankulathur Tamil Nadu India

ISBN: (纸本)9781479913565

Wavelength division multiplexing network is a method to improve capacity of transmission and to design the best path between the source and destination and assign the wavelength to the path for data transmission. A simple node is to be designed with mixed integer linear programming /GPLK 4.4 as the mathematical problem formulation for the single-hop and virtual hop of the network. Comparison of the topologies, INTERNET, EON and National Science Foundation Network (NSFNET) With Wavelength Division Multiplexing Conversion having different light-path flows is made for different number of nodes with capacity and average Ingress, Egress and groomed traffic. The performance metrics is determined by Wavelength of Light paths, single hop path, Number of Virtual hops, Network Congestion, Number of Wavelength per link, and Wavelength channel capacity.

关键词： mixed integer linear programming Virtual topology Wavelength division Multiplexing Routing and Wavelength Assignment

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Power Reduction in FM Networks by mixed-integer programming: A Case Study

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IEEE ACCESS 2024年 12卷 23725-23732页

作者： Avella, Pasquale Nobili, Paolo Sassano, Antonio Univ Sannio Dipartimento Ingn I-82100 Benevento Italy Univ Tuscia DAFNE I-01100 Viterbo Italy Sapienza Univ Roma Dipartimento Ingn Informat Automat & Gestionale DI I-00185 Rome Italy

The climate change emergency calls for a reduction in energy consumption in all human activities and production processes. The radio broadcasting industry is no exception. However, reducing energy requirements by uniformly cutting the radiated power at every transmitter can potentially impair the quality of service. A careful evaluation and optimization study are in order. In this paper, by analyzing the Italian frequency modulation analog broadcasting service, we show that it is indeed possible to significantly reduce the energy consumption of the broadcasters without sacrificing the quality of the service, rather, even getting improvements.

关键词： Climate change Energy consumption mixed integer linear programming Power system management Energy conservation Optimization methods Power system reliability Power system measurements Human factors Quality of service Broadcasting Broadcast networks FM power reduction mixed-integer programming

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Combining Geographic Information Systems for Transportation and mixed integer linear programming in Facility Location-Allocation Problems

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Journal of Software Engineering and Applications 2014年第10期7卷 844-858页

作者： Silvia Maria Santana Mapa Renato da Silva Lima Federal Office for Education Science and Technology of Minas GeraisCongonhasBrazil Federal University of Itajuba Industrial Engineering and Management InstituteItajubáBrazil

In this study, we aimed to assess the solution quality for location-allocation problems from facilities generated by the software TransCAD®?, a Geographic Information System for Transportation (GIS-T). Such facilities were obtained after using two routines together: Facility Location and Transportation Problem, when compared with optimal solutions from exact mathematical models, based on mixed integer linear programming (MILP), developed externally for the GIS. The models were applied to three simulations: the first one proposes opening factories and customer allocation in the state of Sao Paulo, Brazil;the second involves a wholesaler and a study of location and allocation of distribution centres for retail customers;and the third one involves the location of day-care centers and allocation of demand (0 - 3 years old children). The results showed that when considering facility capacity, the MILP optimising model presents results up to 37% better than the GIS and proposes different locations to open new facilities.

关键词： Geographic Information Systems for Transportation Location-Allocation Problems mixed integer linear programming Transportation TransCAD^(█)

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Cost Optimization of Combined Building Heating/Cooling Equipment via mixed-integer linear programming

Cost Optimization of Combined Building Heating/Cooling Equip...

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American Control Conference

作者： Michael J. Risbeck Christos T. Maravelias James B. Rawlings Robert D. Turney University of Wisconsin-Madison Johnson Controls Milwaukee WI

ISBN: (纸本)9781479917730

In this paper, we propose a mixed-integer linear program to economically optimize equipment usage in a central heating/cooling plant subject to time-of-use and demand charges for utilities. The optimization makes both discrete on/off and continuous load decisions for equipment while determining utilization of thermal energy storage systems. This formulation allows simultaneous optimization of heating and cooling subsystems, which interact directly when heat-recovery chillers are present. Nonlinear equipment models are approximated as piecewise-linear to balance modeling accuracy with the computational constraints imposed by online implementation and to ensure global optimality for the computed solutions. The chief benefits of this formulation are its ability to tightly control on/off switching of equipment, its consideration of cost contributions from auxiliary equipment such as pumps, and its applicability to large systems with multiple heating and cooling units in which a combinatorial problem must be solved to pick the optimal mix of equipment. These features result in improved performance over heuristic scheduling rules or other formulations that do not consider discrete decision variables. We show optimization results for a system with four conventional chillers, two heat-recovery chillers, and one hot water boiler. With a timestep of 1 h and a horizon of 48 h, the optimization problem can be solved to optimality within 5 minutes, indicating suitability for online implementation.

关键词： EQUIPMENT CHILLER mixed integer linear programming Demand Charges Auxiliary equipment optimality Pumps

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A mixed-integer programming model for an integrated production planning problem with preventive maintenance in the pulp and paper industry

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ENGINEERING OPTIMIZATION 2023年第8期55卷 1352-1369页

作者： Aviles, Francisco N. Etchepare, Renato Maynard Aguayo, Maichel M. Valenzuela, Mario Univ San Sebastian Fac Ingn Arquitectura & Diseno Lientur 1457 Concepcion 4080871 Chile

Production planning and scheduling in the pulp and paper industry can be very challenging. In most cases, practitioners address the production planning process manually, which is time-consuming and sub-optimal. This study deals with production planning encountered in a pulp mill company involving different wood species, parallel heterogeneous lines, inventory limits, sequence-independent setup times and preventive maintenance. To tackle the problem, an efficient mixed-integer formulation is proposed that optimizes when, where and how much to produce of different wood species and schedules preventive maintenance to minimize the total setup times. Several computational experiments are conducted to solve a case study in a pulp mill company in Chile. The results show the capability of the model to support the decision-making process in the pulp and paper industry, providing an efficient tool for practitioners to solve the problem in a reasonable amount of time.

关键词： Production planning preventive maintenance pulp and paper industry mixed integer linear programming lot-sizing

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