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A novel optimal configuration of sensor and actuator using a non-linear integer programming genetic algorithm for active vibration control

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JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES 2017年第15期28卷 2074-2081页

作者： Zhang, Chunyou Wang, Lihua Wu, Xiaoqiang Gao, Weijin Inner Mongolia Univ Nationalities Coll Mech Engn Tongliao Peoples R China Beihang Univ Dept Automat Sci & Elect Engn 37 Xueyuan Rd Beijing 100191 Peoples R China

Due to widespread applications of a large number of flexible structures, to obtain the best dynamic control performance of a system, optimal locations of the actuators and sensors are necessary to be determined. This article proposes a novel optimal criterion for the actuators or sensors ensuring good controllability or observability of a structure, and also considering the remaining modes to control the spillover effect. Based on the proposed optimization criteria, a non-linear integer programming genetic algorithm is employed to achieve the optimal configurations. Active vibration control is investigated for a cantilever plate with the actuators in optimal positions to suppress the specified modes utilizing linear quadratic regulator controller. Several simulation results validate the efficiency and feasibility of the proposed optimal criteria.

关键词： flexible structures optimization criteria non-linear integer programming active vibration control

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Optimization of economic production scheduling under sales and operations constraints in consumer goods industries

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INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT 2024年第3期19卷 189-198页

作者： Fruytier, Pierre-Andre M. Georgiadis, Michael C. Freelance Management Consultant St John NB Canada Aristotle Univ Thessaloniki Dept Chem Engn Thessaloniki Greece

A non-linear integer programming formulation is developed to solve a production scheduling problem at an industrial consumer goods producer. Its production runs are assigned to pre-set time slots economically sized for long setups and changeovers. The mathematical model applies to a mix of backlogged, or not, sales orders involving multi-product, multi-stage production with finite capacity, material, and storage constraints. It aims at maximizing various strategic objectives (direct margin, resource utilization, and customer service) over rolling workday horizons. Real-life scheduling problems are solved to illustrate the efficiency and applicability of the proposed optimization framework. The results indicate that minimizing stockouts over a 40-workday period during peak season leads to absolute two-digit service level improvements compared to man-made schedules.

关键词： non-linear integer programming decision support systems production planning and control scheduling optimization consumer goods

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Balancing, sequencing, and job rotation scheduling of a U-shaped lean cell with dynamic operator performance

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COMPUTERS & INDUSTRIAL ENGINEERING 2020年 143卷 106363-106363页

作者： Ayough, Ashkan Zandieh, Mostafa Farhadi, Farbod Shahid Beheshti Univ Management & Accounting Fac Dept Ind Management Tehran Iran Roger Williams Univ Bristol RI 02809 USA

Performance of a manufacturing cell is dependent on an efficient layout design, and optimal work schedules. However, the operator-dependent factors such as learning, forgetting, motivation, and boredom, can considerably impact the output of the system. In this study, we consider heterogeneous operators with dynamic performance metrics and integrate the job assignment, and job rotation scheduling problems, with the balancing and production sequencing in a U-shaped lean manufacturing cell. We present a novel multi-period nonlinear mixed-integer model to minimize the deviations from takt time, and the number of operators, in a finite planning horizon. An efficient meta-heuristic approach is developed to solve the problem and the results are compared to a static case where no human factor is included. Our computational results demonstrate that including the operator-dependent metrics can improve the performance of the cell design. We conduct a sensitivity analysis of the scheduling parameters including, rotation frequencies, takt time, cell size, and task types, and derive that the obtained solutions with the static settings, are not sufficient for an efficient lean cell design in the presence of dynamic human factors.

关键词： U-shaped lean cell Balancing and sequencing Rotation scheduling Human factor non-linear integer programming Variable neighborhood search

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An improved test set approach to nonlinear integer problems with applications to engineering design

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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2015年第2期62卷 565-588页

作者： Gago-Vargas, J. Hartillo, I. Puerto, J. Ucha, J. M. Univ Seville Dept Algebra E-41080 Seville Spain Univ Seville Dept Matemat Aplicada 1 ETS Ingn Informat E-41012 Seville Spain Univ Seville Fac Matemat Dept Estadist & Invest Operat E-41012 Seville Spain

Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not been frequently applied because of computation costs. The walk-back procedure based on a test set gives an exact method to obtain an optimal point of an integer programming problem with linear and nonlinear constraints, but the calculation of this test set and the identification of an optimal solution using the test set directions are usually computationally intensive. In problems for which obtaining the test set is reasonably fast, we show how the effectiveness can still be substantially improved. This methodology is presented in its full generality and illustrated on two specific problems: (1) minimizing cost in the problem of scheduling jobs on parallel machines given restrictions on demands and capacity, and (2) minimizing cost in the series parallel redundancy allocation problem, given a target reliability. Our computational results are promising and suggest the applicability of this approach to deal with other problems with similar characteristics or to combine it with mainstream solvers to certify optimality.

关键词： non-linear integer programming Test set Grobner basis Chance constrained programming

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Using nonlinear programming to Optimize the Fiber Packing Density of Optical Fiber Cables- A Short Problem-Based Learning Course

Using Nonlinear Programming to Optimize the Fiber Packing De...

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ASEE Annual Conference

作者： Jackson, Kenneth W. Wiles, Gregory L. Southern Polytech State Univ Marietta GA 30060 USA Southern Polytech State Univ Ind Engn Technol Marietta GA USA

A need for time-compressed, low credit hour, problem-based courses for upper division students frequently arises. These courses may be used to support universities' honors program by extending the learning mastery of traditional subjects through experiential learning and challenging the exceptional student. In addition, such courses can facilitate and allow some students to graduate on schedule. Although short, problem-based courses with low enrollment (25 students) do not map conveniently to the traditional teaching schedule of faculty, they can provide a unique opportunity for service both to students and to the university, especially in summer semesters. In addition, the National Academy of Engineering has recognized experiential learning which involves solving open-ended problems that are complex and ill structured as a critical competency for engineers in the 21st century. This paper describes the design of a special problem course in which we use the case method to teach industrial engineering technology students nonlinear integer programming, while providing a collaborative learning experience in solving a simulated real world problem. The basic problem uses nonlinear integer programming to explore the optimization space for optical fiber ribbon-based cables, which are subject to a variety of practical constraints. Students learn to use the LINGO software package to maximize the fiber packing density for a number of exemplary cable configurations. Students also learn a variety of skills and acquire an intuitive understanding of optimization algorithms. The problem complexity and the scope of the course can be adjusted to serve the needs and abilities of the students. End-of-course deliverables include a formal engineering report and the preparation and presentation of a poster paper. The special problem course provides students with a collaborative learning experience solving an ill-structured practical problem and it provides faculty a unique service opportu

关键词： Problem based learning nonlinear optimization honors program non-linear integer programming

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A Study on Path Optimization of Multimodal Military Transportation Based on Road Transfer

A Study on Path Optimization of Multimodal Military Transpor...

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32nd Chinese Control Conference (CCC)

作者： Zhang Jin Wang Shuxin Shen Jun Chen Feng PLA ZhenJiang Watercraft Coll Zhenjiang 212003 Peoples R China

ISBN: (纸本)9789881563835

As multimodal transportation has become an increasingly popular research topic, the relevant military transportation issues have also begun to be paid attention to. This paper took path optimization issue in multimodal military transportation as the subject, in which, a multimodal military transportation network was established on the basis of road transfer, and a path optimization model for multimodal military transportation was thus structured. Due to the high order model which was caused by the security attribute in military transportation, this paper furthermore introduced phase safety probability and improved the original model to a second order 0-1 planning model. Then, a typical case which involves 53 nodes was selected to do simulate analysis, with time, cost and safety probability as the goals of optimization. After separately using Lingo 9.0 to get the solutions of the high order and secondary models, the consistent results proved the models' correctness and the realizability of getting solutions. It was specially worth noting that the improved model only took around one second to obtain the globally optimal solution, demonstrating very good real-time performance, stability and ability to get globally optimal solutions.

关键词： multimodal transport non-linear integer programming model path selection

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An algebraic approach to integer portfolio problems

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2011年第3期210卷 647-659页

作者： Castro-Jimenez, F. J. Gago, J. Hartillo, I. Puerto, J. Ucha, J. M. Univ Seville Dpto Algebra E-41080 Seville Spain Univ Seville ETS Ingn Informat Dpto Matemat Aplicada 1 E-41012 Seville Spain Univ Seville Fac Matemat Dpto Estadist & Invest Operat E-41012 Seville Spain

integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected return under a given admissible level of risk measured by the covariance matrix. To reach an optimal portfolio it is an essential ingredient the computation of different test sets (via Grobner basis) of linear subproblems that are used in a dual search strategy. (C) 2010 Elsevier B.V. All rights reserved.

关键词： Finance Portfolio non-linear integer programming Grobner bases

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Integrated modelling of cost-effective siting and operation of flow-control infrastructure for river ecosystem conservation

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WATER RESOURCES RESEARCH 2011年第5期47卷 W05519.1-W05519.14页

作者： Higgins, A. J. Bryan, B. A. Overton, I. C. Holland, K. Lester, R. E. King, D. Nolan, M. Connor, J. D. CSIRO Ecosyst Sci St Lucia Qld 4067 Australia CSIRO Ecosyst Sci Urrbrae SA 5064 Australia CSIRO Land & Water Urrbrae SA 5064 Australia

Wetland and floodplain ecosystems along many regulated rivers are highly stressed, primarily due to a lack of environmental flows of appropriate magnitude, frequency, duration, and timing to support ecological functions. In the absence of increased environmental flows, the ecological health of river ecosystems can be enhanced by the operation of existing and new flow-control infrastructure (weirs and regulators) to return more natural environmental flow regimes to specific areas. However, determining the optimal investment and operation strategies over time is a complex task due to several factors including the multiple environmental values attached to wetlands, spatial and temporal heterogeneity and dependencies, nonlinearity, and time-dependent decisions. This makes for a very large number of decision variables over a long planning horizon. The focus of this paper is the development of a nonlinear integer programming model that accommodates these complexities. The mathematical objective aims to return the natural flow regime of key components of river ecosystems in terms of flood timing, flood duration, and interflood period. We applied a 2-stage recursive heuristic using tabu search to solve the model and tested it on the entire South Australian River Murray floodplain. We conclude that modern meta-heuristics can be used to solve the very complex nonlinear problems with spatial and temporal dependencies typical of environmental flow allocation in regulated river ecosystems. The model has been used to inform the investment in, and operation of, flow-control infrastructure in the South Australian River Murray.

关键词： regulated river systems conservation planning non-linear integer programming

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Multi-impact optimization to reduce aviation noise and emissions

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TRANSPORTATION RESEARCH PART D-TRANSPORT AND ENVIRONMENT 2010年第2期15卷 82-93页

作者： Zachary, Daniel S. Gervais, Jessica Leopold, Ulrich Ctr Rech Publ Henri Tudor Ctr Ressources Technol Environm L-4421 Esch Sur Alzette Luxembourg ArcelorMittal Esch Belval L-4008 Esch Belval Luxembourg

This paper describes a multi-indicator assessment and minimization problem focused on aviation "Community" noise. The model explores a combined noise and emission objective for airfreight movements at Luxembourg's Findel Airport. Community noise is evaluated via four population impact indicators emissions are tabulated from in-flight segments in the proximity of the airport and from the contribution of taxiing. A set of scenarios based on trajectory, aircraft scheduling, fleet composition, operational procedures are implemented in software. An integer programming methodology is used to search for minimal environmental impact. An on/off switch allows for an evaluation of each indicator in the objective. Different impacts on the population are explored in a case study involving the Cargolux Airlines International S.A. (C) 2009 Elsevier Ltd. All rights reserved.

关键词： Aviation noise Geospatial mapping Day-evening-night penalty non-linear integer programming

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Integrated analytical hierarch process and mathematical programming to supplier selection problem with quantity discount

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APPLIED MATHEMATICAL MODELLING 2009年第3期33卷 1417-1429页

作者： Kokangul, Ali Susuz, Zeynep Cukurova Univ Dept Ind Engn TR-01330 Adana Turkey Alize Design & Graph Adana Turkey

In this article an integration of analytical hierarchy process and non-linear integer and multi-objective programming under some constraints such as quantity discounts, capacity, and budget is applied to determine the best suppliers and to place the optimal order quantities among them. This integration-based multi-criteria decision making methodology takes into account both qualitative and quantitative factors in supplier selection. While the analytical hierarchy process matches item characteristics with supplier characteristics, non-linear integer programming model analytically determines the best suppliers and the optimal order quantities among the determined suppliers. The objectives of the mathematical models constructed are maximizing the total value of purchase (TVP), minimizing the total cost of purchase (TCP) or maximizing TVP and minimizing TCP simultaneously. In addition, several "what if" scenarios are facilitated and the quality of the resulting models is evaluated on real-life data. (C) 2008 Elsevier Inc. All rights reserved.

关键词： Supplier selection Discounted cost AHP non-linear integer programming

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