Relevant bibliographies by topics / Piecewise linear programming

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Piecewise linear programming'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Piecewise linear programming"

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Cavichia, Mario Conrado, and Marcos Nereu Arenales. "Piecewise linear programming via interior points." Computers & Operations Research 27, no. 13 (2000): 1303–24. http://dx.doi.org/10.1016/s0305-0548(99)00075-1.

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Rebennack, Steffen, and Vitaliy Krasko. "Piecewise Linear Function Fitting via Mixed-Integer Linear Programming." INFORMS Journal on Computing 32, no. 2 (2020): 507–30. http://dx.doi.org/10.1287/ijoc.2019.0890.

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Piecewise linear (PWL) functions are used in a variety of applications. Computing such continuous PWL functions, however, is a challenging task. Software packages and the literature on PWL function fitting are dominated by heuristic methods. This is true for both fitting discrete data points and continuous univariate functions. The only exact methods rely on nonconvex model formulations. Exact methods compute continuous PWL function for a fixed number of breakpoints minimizing some distance function between the original function and the PWL function. An optimal PWL function can only be compute
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Nickel, Stefan, and Margaret M. Wiecek. "Multiple objective programming with piecewise linear functions." Journal of Multi-Criteria Decision Analysis 8, no. 6 (1999): 322–32. http://dx.doi.org/10.1002/1099-1360(199911)8:6<322::aid-mcda260>3.0.co;2-5.

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Kiwiel, K. C. "Finding normal solutions in piecewise linear programming." Applied Mathematics & Optimization 32, no. 3 (1995): 235–54. http://dx.doi.org/10.1007/bf01187901.

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Yang, Lingjian, Songsong Liu, Sophia Tsoka, and Lazaros G. Papageorgiou. "Mathematical programming for piecewise linear regression analysis." Expert Systems with Applications 44 (February 2016): 156–67. http://dx.doi.org/10.1016/j.eswa.2015.08.034.

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Premoli, Amedeo. "Piecewise-linear programming: The compact (CPLP) algorithm." Mathematical Programming 36, no. 2 (1986): 210–27. http://dx.doi.org/10.1007/bf02592026.

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Al-Subhi, Ahmad A., and Hesham K. Alfares. "Economic Load Dispatch Using Linear Programming." International Journal of Applied Industrial Engineering 3, no. 1 (2016): 16–36. http://dx.doi.org/10.4018/ijaie.2016010102.

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This paper presents an optimum solution of the economic dispatch (ED) problem without considering transmission losses using linear programming (LP). In the ED problem, several on-line units (generators) are available, and it is needed to determine the power to produce by each unit in order to meet the required load at minimum total cost. To apply LP, the nonlinear cost functions of all generators are approximated by linear piecewise functions. To examine the effectiveness of this linearization method, a comprehensive set of benchmark test problems is used consisting of 3, 6, 18, 20, 38, and 40
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Julian, Pedro, Jose Guivant, and Alfredo Desages. "A parametrization of piecewise linear Lyapunov functions via linear programming." International Journal of Control 72, no. 7-8 (1999): 702–15. http://dx.doi.org/10.1080/002071799220876.

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Guder, Faruk, and Francis J. Nourie. "A Dual Simplex Algorithm for Piecewise-Linear Programming." Journal of the Operational Research Society 47, no. 4 (1996): 583. http://dx.doi.org/10.2307/3010733.

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MATSUDA, Haruki, Akinori HARADA, and Yoshikazu MIYAZAWA. "Trajectory Optimization using Piecewise Linear Approximation Dynamic Programming." AEROSPACE TECHNOLOGY JAPAN, THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 14 (2015): 33–41. http://dx.doi.org/10.2322/astj.14.33.

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Dissertations / Theses on the topic "Piecewise linear programming"

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Kumar, Manish. "Converting some global optimization problems to mixed integer linear problems using piecewise linear approximations." Diss., Rolla, Mo. : University of Missouri-Rolla, 2007. http://scholarsmine.umr.edu/thesis/pdf/Kumar_09007dcc803c8e68.pdf.

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Thesis (M.S.)--University of Missouri--Rolla, 2007.<br>Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed December 7, 2007) Includes bibliographical references (p. 28).
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Croxton, Keely L., Bernard Gendon, and Thomas L. Magnanti. "A Comparison of Mixed-Integer Programming Models for Non-Convex Piecewise Linear Cost Minimization Problems." Massachusetts Institute of Technology, Operations Research Center, 2002. http://hdl.handle.net/1721.1/5233.

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We study a generic minimization problem with separable non-convex piecewise linear costs, showing that the linear programming (LP) relaxation of three textbook mixed integer programming formulations each approximates the cost function by its lower convex envelope. We also show a relationship between this result and classical Lagrangian duality theory.
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Van, der Westhuizen Magdelena Marianna. "Robust techniques for regression models with minimal assumptions / M.M. van der Westhuizen." Thesis, North-West University, 2011. http://hdl.handle.net/10394/6689.

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Good quality management decisions often rely on the evaluation and interpretation of data. One of the most popular ways to investigate possible relationships in a given data set is to follow a process of fitting models to the data. Regression models are often employed to assist with decision making. In addition to decision making, regression models can also be used for the optimization and prediction of data. The success of a regression model, however, relies heavily on assumptions made by the model builder. In addition, the model may also be influenced by the presence of outliers; a more robu
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González, Germán Iván Temoatzin. "Contributions to analysis and control of Takagi-Sugeno systems via piecewise, parameter-dependent, and integral Lyapunov functions." Doctoral thesis, Universitat Politècnica de València, 2018. http://hdl.handle.net/10251/101282.

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Esta tesis considera un enfoque basado en Lyapunov para el análisis y control de sistemas no lineales cuyas ecuaciones dinámicas son reescritas como un modelo Takagi-Sugeno o uno polinomial convexo. Estas estructuras permiten resolver problemas de control mediante técnicas de optimización convexa, más concretamente desigualdades matriciales lineales y suma de cuadrados, que son eficientes herramientas desde un punto de vista computacional. Después de proporcionar una visión general básica del estado actual en el campo de los modelos Takagi-Sugeno, esta tesis aborda cuestiones sobre las funcion
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Nguyen, Ngoc Anh. "Explicit robust constrained control for linear systems : analysis, implementation and design based on optimization." Thesis, Université Paris-Saclay (ComUE), 2015. http://www.theses.fr/2015SACLC012/document.

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Les lois de commande affines par morceaux ont attiré une grande attention de la communauté d'automatique de contrôle grâce à leur pertinence pour des systèmes contraints, systèmes hybrides; également pour l'approximation de commandes nonlinéaires. Pourtant, leur mise en oeuvre est soumise à quelques difficultés. Motivé par l'intérêt à cette classe de commandes, cette thèse porte sur leur analyse, mise en oeuvre et synthèse.La première partie de cette thèse a pour but le calcul de la marge de robustesse et de la marge de fragilité pour une loi de commande affine par morceaux donnée et un systèm
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Schardong, André. "Aplicação de técnicas de programação linear e extensões para otimização da alocação de água em sistemas de recursos hídricos, utilizando métodos de pontos interiores." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/3/3147/tde-01122006-171713/.

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Neste trabalho é apresentada uma ferramenta de otimização para análise de problemas de alocação de água em bacias hidrográficas utilizando técnicas de programação linear e linear por partes, integradas a um modelo de amortecimentos de ondas em canais. A otimização é feita de forma global, com uso de softwares de programação linear baseados nos métodos de pontos interiores. A metodologia de uso do sistema consiste em se obter uma solução ?ótima? para situações de disponibilidade de água insuficiente a todos os usos conflitantes na bacia. A ferramenta está sendo acoplada e incorporada ao AcquaNe
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Cheng, Jianqiang. "Stochastic Combinatorial Optimization." Thesis, Paris 11, 2013. http://www.theses.fr/2013PA112261.

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Dans cette thèse, nous étudions trois types de problèmes stochastiques : les problèmes avec contraintes probabilistes, les problèmes distributionnellement robustes et les problèmes avec recours. Les difficultés des problèmes stochastiques sont essentiellement liées aux problèmes de convexité du domaine des solutions, et du calcul de l’espérance mathématique ou des probabilités qui nécessitent le calcul complexe d’intégrales multiples. A cause de ces difficultés majeures, nous avons résolu les problèmes étudiées à l’aide d’approximations efficaces.Nous avons étudié deux types de problèmes stoch
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Pasin, Chloé. "Modélisation et optimisation de la réponse à des vaccins et à des interventions immunothérapeutiques : application au virus Ebola et au VIH." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0208/document.

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Les vaccins ont été une grande réussite en matière de santé publique au cours des dernières années. Cependant, le développement de vaccins efficaces contre les maladies infectieuses telles que le VIH ou le virus Ebola reste un défi majeur. Cela peut être attribué à notre manque de connaissances approfondies en immunologie et sur le mode d'action de la mémoire immunitaire. Les modèles mathématiques peuvent aider à comprendre les mécanismes de la réponse immunitaire, à quantifier les processus biologiques sous-jacents et à développer des vaccins fondés sur un rationnel scientifique. Nous présent
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Kameshwaran, S. "Algorithms For Piecewise Linear Knapsack Problems With Applications In Electronic Commerce." Thesis, 2004. http://hdl.handle.net/2005/1133.

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Li-Yu, Chang, and 張力友. "A Maximum Achievement Model for an Interdependent Multi-location Investment Problem Using Goal Programming and Piecewise-Linear Approximation." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/01903018383321061671.

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碩士<br>國防管理學院<br>國防決策科學研究所<br>95<br>In this thesis we consider an enterprise entity who wants to extend its business scale in global for sustainable competitive advantage. Therefore, the enterprise hopes to “set-up the basis of long-term business in Asia Market” which is the fundamental objective (FO) for initial market extension program. In order to realize the FO, suppose the enterprise had been chosen several cities located in Asia Market, as well as endowed with a business goal and time limit for achievement for each planning investment city (PIC). Such a goal refers to each subsidiary in e
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Books on the topic "Piecewise linear programming"

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Birge, John R. A separable piecewise linear upper bound for stochastic linear programs. Naval Postgraduate School, 1987.

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Hajian, Mozafar Taghi. Design, implementation and testing of an integrated branch and bound algorithm for piecewise linear and discrete programming problems within an LP framework. Brunel University, Department of Mathematics and Statistics, 1992.

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Book chapters on the topic "Piecewise linear programming"

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Melzer, D. "On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions." In Mathematical Programming Studies. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0121142.

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Geißler, Björn, Alexander Martin, Antonio Morsi, and Lars Schewe. "Using Piecewise Linear Functions for Solving MINLPs." In Mixed Integer Nonlinear Programming. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1927-3_10.

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Teixeira de Freitas, J. A. "Piecewise-Linear Elastic-Plastic Stress-Strain Relations." In Mathematical Programming Methods in Structural Plasticity. Springer Vienna, 1990. http://dx.doi.org/10.1007/978-3-7091-2618-9_6.

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Magnanti, Thomas L., and Dan Stratila. "Separable Concave Optimization Approximately Equals Piecewise Linear Optimization." In Integer Programming and Combinatorial Optimization. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-25960-2_18.

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Maros, István. "A Piecewise Linear Dual Procedure in Mixed Integer Programming." In New Trends in Mathematical Programming. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4757-2878-1_12.

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Ho, James K. "Relationships among linear formulations of separable convex piecewise linear programs." In Mathematical Programming Essays in Honor of George B. Dantzig Part I. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0121047.

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Nickel, Stefan, and Malgorzata M. Wiecek. "A Flexible Approach to Piecewise Linear Multiple Objective Programming." In Operations Research Proceedings. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60744-8_4.

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Refalo, Philippe. "Tight Cooperation and Its Application in Piecewise Linear Optimization." In Principles and Practice of Constraint Programming – CP’99. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-540-48085-3_27.

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Xiyang, Yang, Zhang Jing, Yu Fusheng, and Li Zhiwei. "Mathematical Programming for Piecewise Linear Representation of Discrete Time Series." In Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-32591-6_17.

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"Piecewise linear control." In Iterative Dynamic Programming. Chapman and Hall/CRC, 2000. http://dx.doi.org/10.1201/9781420036022.ch7.

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Conference papers on the topic "Piecewise linear programming"

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Xu, Zhiming, Yu Bai, and Shuning Wang. "Sequential Global Linear Programming Algorithm for Continuous Piecewise Linear Programming*." In 2018 13th World Congress on Intelligent Control and Automation (WCICA). IEEE, 2018. http://dx.doi.org/10.1109/wcica.2018.8630336.

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Harada, Akinori, Haruki Matsuda, and Yoshikazu Miyazawa. "Dynamic Programming Trajectory Optimization by Piecewise Linear Approximation." In AIAA Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-1075.

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Bolender, Michael, and David Doman. "Non-Linear Control Allocation Using Piecewise Linear Functions: A Linear Programming Approach." In AIAA Guidance, Navigation, and Control Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-5019.

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Li Ying, Shuning Wang, and Huang Xiaolin. "Finding all solutions of piecewise-linear circuits using mixed linear programming algorithm." In 2008 Chinese Control and Decision Conference (CCDC). IEEE, 2008. http://dx.doi.org/10.1109/ccdc.2008.4598121.

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Yamamura, Kiyotaka, and Hiroki Takahara. "Complete Analysis of Piecewise-Linear Resistive Circuits using Integer Programming." In 2017 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2017. http://dx.doi.org/10.1109/ecctd.2017.8093298.

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Xi, Xiangming, Jun Xu, Xiaomu Mu, and Shuning Wang. "Continuous piecewise linear programming via concave optimization and genetic algorithm." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426584.

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Yamamura, Kiyotaka, and Takahiro Ueda. "Finding all solutions of piecewise-linear resistive circuits using integer programming." In 2011 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2011. http://dx.doi.org/10.1109/ecctd.2011.6043621.

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Yamamura, Kiyotaka, and Hideki Tanaka. "Finding all solutions of piecewise-linear resistive circuits using separable programming." In 2013 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2013. http://dx.doi.org/10.1109/ecctd.2013.6662275.

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Huang, Xiaolin, Jun Xu, and Shuning Wang. "Operation optimization for centrifugal chiller plants using continuous piecewise linear programming." In 2010 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2010. http://dx.doi.org/10.1109/icsmc.2010.5642350.

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Xu, Zhiming, Kuangyu Liu, Xiangming Xi, and Shuning Wang. "Method of hill tunneling via simplex centroid for continuous piecewise linear programming." In 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, 2015. http://dx.doi.org/10.1109/cdc.2015.7403260.

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