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An explicit solution to the multi-level programming problem

Jonathan F. Bard, James E. Falk
<span title="">1982</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zfqmu5yfvjbg3f4h6f7a5j3jr4" style="color: black;">Computers &amp; Operations Research</a> </i> &nbsp;
Corollary 1 - 1 An optimal feasible solution to the bi-level programming problem P6 can be represented as a basic feasible solution to problem P9.  ...  In this paper , the t reatment of the multi-level program has been limited to the bi-level case.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0305-0548(82)90007-7">doi:10.1016/0305-0548(82)90007-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2u57s4hqy5cq3peym3dlur5kgu">fatcat:2u57s4hqy5cq3peym3dlur5kgu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829235641/http://www.dtic.mil/get-tr-doc/pdf?AD=ADA069310" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/47/17/47179017d43d5bb59011e80f3fff49973432d123.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0305-0548(82)90007-7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

A Multi–Parametric Optimization Strategy for Multilevel Hierarchical Control problems

Nuno P. Faísca, Konstantinos I. Kouramas, Efstratios N. Pistikopoulos
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
The main idea is to recast each optimisation subproblem in the multilevel hierarchy as a multi-parametric programming problem and then transform the multilevel problem into a single-level optimisation  ...  This allows for the control policies (decisions) at each level of the multilevel optimisation problem to be obtained as explicit functions of the state of the dynamic systems involved in each level and  ...  ACKNOWLEDGEMENTS The financial support of EU (Marie Curie European Project PRISM MRTN-CT-2004-512233) and EPSRC (GR/T02560/01) is greatfully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20080706-5-kr-1001.01064">doi:10.3182/20080706-5-kr-1001.01064</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a7c4zohopfgbtflue5rq7ywytm">fatcat:a7c4zohopfgbtflue5rq7ywytm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200322031209/https://folk.ntnu.no/skoge/prost/proceedings/ifac2008/data/papers/2289.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/00/59/005944a78c791e77e2b1549b807bd580b397e06f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20080706-5-kr-1001.01064"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

From multi-parametric programming theory to MPC-on-a-chip multi-scale systems applications

Efstratios N. Pistikopoulos
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/u3s73v5btvfqjfntuhxfqyeema" style="color: black;">Computers and Chemical Engineering</a> </i> &nbsp;
An overview of multi-parametric programming and control is presented with emphasis on historical milestones, novel developments in the theory of multi-parametric programming and explicit MPC as well as  ...  their application to the design of advanced controller for complex multi-scale systems.  ...  variables) and a Slave mp-NLP problem (to obtain the explicit solution).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2012.06.031">doi:10.1016/j.compchemeng.2012.06.031</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/63tvtepmprhztghhclyxplp2xm">fatcat:63tvtepmprhztghhclyxplp2xm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809121419/http://focapo.cheme.cmu.edu/2012/proceedings/data/papers/019.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0a/d2/0ad20cc6438d3f9c2c12066c148068e08e5bebb2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2012.06.031"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

A dynamic programming based approach for explicit model predictive control of hybrid systems

Pedro Rivotti, Efstratios N. Pistikopoulos
<span title="">2015</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/u3s73v5btvfqjfntuhxfqyeema" style="color: black;">Computers and Chemical Engineering</a> </i> &nbsp;
The index i represents the progression of an algorithm for the solution of the multi-stage problem based on a backwards dynamic programming recursion.  ...  Since the explicit solution of (2.17), obtained using multi-parametric programming, is an exact solution, well established stability results for model predictive control are inherited in the case of explicit  ...  Finally, the reference tracking problem in (G.3), where the output y is to be driven to the set-point y s p, over a time horizon N, is explicitly formulated as follows, by organising the mappings {Ψ j  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2014.06.003">doi:10.1016/j.compchemeng.2014.06.003</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jhqfjhx5nzfxlahfra7qmsxlxy">fatcat:jhqfjhx5nzfxlahfra7qmsxlxy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181101044132/https://spiral.imperial.ac.uk:8443/bitstream/10044/1/24432/1/Rivotti-P-2014-PhD-Thesis.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b3/4f/b34fd2b6ad7dcdcd1ba90e27599e17f4fdea9b68.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compchemeng.2014.06.003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Modelling of Multi-Scale Uncertainties in Biofuel Supply Chain Optimization

D. Yue, F. You
<span title="">2016</span> <i title="AIDIC Servizi S.r.l."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5re6yojrfja7da72zowrdasgca" style="color: black;">Chemical Engineering Transactions</a> </i> &nbsp;
The resulting multi-level mixed-integer linear programming model is solved by a decomposition-based column- and-constraint generation algorithm.  ...  To illustrate the application, a county-level case study on optimal design and operations of a spatially-explicit biofuel supply chain in Illinois is presented, which demonstrates the advantages and flexibility  ...  We modify the deterministic spatially explicit and multi-period MILP model in to handle strategic and operational uncertainties in a biofuel supply chain.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3303/cet1652035">doi:10.3303/cet1652035</a> <a target="_blank" rel="external noopener" href="https://doaj.org/article/11d6ed9f165b442082b193d1f641a3ac">doaj:11d6ed9f165b442082b193d1f641a3ac</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pixqbxnv4bbzdny64tbrla4wze">fatcat:pixqbxnv4bbzdny64tbrla4wze</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210607004436/https://www.aidic.it/cet/16/52/035.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3e/0d/3e0dde39d530818b8a2c9969b8776f374a487d28.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3303/cet1652035"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Solving multi-objective optimization problems in conservation with the reference point method [article]

Yann Dujardin, Iadine Chades
<span title="2016-11-23">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Our paper reviews some of the existing approaches to solve multi-objective decision problems and presents new multi-objective linear programming formulations of two multi-objective optimization problems  ...  The method is general and can be adapted to a wide range of ecological combinatorial problems.  ...  Goal programming, and compromise programming, which aim to minimize the deviation between the achievement of goals and their aspiration levels (fixed by the decision-maker in the goal programming case  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1611.07640v1">arXiv:1611.07640v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nnqxydqtzvhubd45sdzktedkaq">fatcat:nnqxydqtzvhubd45sdzktedkaq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191017032156/https://arxiv.org/pdf/1611.07640v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3d/b9/3db9f2e9f09615960ce73190fd249b93953bbac4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1611.07640v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Explicit and Emergent Cooperation Schemes for Search Algorithms [chapter]

Teodor Gabriel Crainic, Michel Toulouse
<span title="">2008</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The paper presents an overview of explicit cooperation mechanisms and describes issues related to the associated dynamic processes and the emergent computation they often generate.  ...  Cooperation as problem-solving and algorithm-design strategy is widely used to build methods addressing complex discrete optimization problems.  ...  Acknowledgments This work was financially supported through the Industrial Research Chair and Discovery grant programs of the Natural Sciences and Engineering Research Council of Canada (NSERC)  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-92695-5_8">doi:10.1007/978-3-540-92695-5_8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sfvhe2lanreo3gvxnrw7tldgt4">fatcat:sfvhe2lanreo3gvxnrw7tldgt4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809004546/https://www.cirrelt.ca/DocumentsTravail/CIRRELT-2008-04.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f4/bb/f4bb2fb94a02493d25a72e32707c3695db3a7580.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-92695-5_8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

On FGP Approach to Multiobjective Quadratic Fractional Programming Problem

Kailash Lachhwani
<span title="2017-01-17">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7657bmdvy5dkflqm5zk547je6y" style="color: black;">International Journal of Applied and Computational Mathematics</a> </i> &nbsp;
Mishra and Ghosh [16] proposed an interactive fuzzy programming method for obtaining a satisfactory solution to a bi-level quadratic fractional programming problem.  ...  [14] is an efficient solution selected by the decision maker (DM) as being the best solution where the selection is based on the DM's explicit or implicit criteria.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40819-017-0307-7">doi:10.1007/s40819-017-0307-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uh2vsafzlvfnbg2k7otz3jt7g4">fatcat:uh2vsafzlvfnbg2k7otz3jt7g4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200319162953/http://ijim.srbiau.ac.ir/article_2285_c2ceebb88aca066952e9e2992839e04e.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3b/db/3bdb96297743e7af0754b13ee04da7f072ad5c27.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40819-017-0307-7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Thread-Based Competitive Or-Parallelism [chapter]

Paulo Moura, Ricardo Rocha, Sara C. Madeira
<span title="">2008</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The subgoals compete for providing an answer and the first successful subgoal leads to the termination of the remaining ones.  ...  We discuss the implementation of competitive orparallelism in the context of Logtalk, an object-oriented logic programming language, and present experimental results. ⋆ This work has been partially supported  ...  This is a simple programming solution, used in most of the Logtalk multi-threading programming examples.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-89982-2_63">doi:10.1007/978-3-540-89982-2_63</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bfbpm3oq3fhnxjmht3r3aazqd4">fatcat:bfbpm3oq3fhnxjmht3r3aazqd4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170830001931/http://www.dcc.fc.up.pt/~ricroc/homepage/publications/2008-ICLP-B.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ff/f4/fff4954677dd87e0f9e30ce36133b778dc69f7af.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-89982-2_63"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Solving multi-objective optimization problems in conservation with the reference point method

Yann Dujardin, Iadine Chadès, Majid Soleimani-damaneh
<span title="2018-01-02">2018</span> <i title="Public Library of Science (PLoS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s3gm7274mfe6fcs7e3jterqlri" style="color: black;">PLoS ONE</a> </i> &nbsp;
Our paper reviews some of the existing approaches to solve multiobjective decision problems and presents new multi-objective linear programming formulations of two multi-objective optimization problems  ...  The method is general and can be adapted to a wide range of ecological combinatorial problems.  ...  One can also compare the optimal solutions with the solutions provided by the usual explicit approaches. Given the combinatorial nature of the problem, an exhaustive search is of course not possible.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0190748">doi:10.1371/journal.pone.0190748</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/29293650">pmid:29293650</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5749871/">pmcid:PMC5749871</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yavdmkyrgjd7jcg5cr2bjhnesa">fatcat:yavdmkyrgjd7jcg5cr2bjhnesa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722102844/http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0190748&amp;type=printable" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ee/ff/eeffa6fcb72c7d8ab87277f7b19e51a42425ec80.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0190748"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> plos.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5749871" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Multi-period Portfolio Selection Using the Finite Difference Method

Xing Yu
<span title="2015-03-31">2015</span> <i title="Bentham Science Publishers Ltd."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/shtihqig3rdutlyvbolgxyric4" style="color: black;">Open Automation and Control Systems Journal</a> </i> &nbsp;
to derive explicit closed-form expressions for the efficient investment strategy and the mean-variance efficient frontier.  ...  Different from the general stochastic dynamic programming approach, such as using Hamilton-Jacobi-Bellman (HJB) equation, this paper adopts the Lagrange duality method and the finite difference approach  ...  Charnes [5] is the first to extent the single period portfolio selection to the multi-stage case with the dynamic programming method, but he did not get the analysis solution.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/1874444301507010199">doi:10.2174/1874444301507010199</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uqoet4gvpzemhmtt33lg2vhtmi">fatcat:uqoet4gvpzemhmtt33lg2vhtmi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724022943/https://benthamopen.com/contents/pdf/TOAUTOCJ/TOAUTOCJ-7-199.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f5/5f/f55f91373903f7c2ac25e72419f8cc6f9b220966.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/1874444301507010199"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

High Level Thread-Based Competitive Or-Parallelism in Logtalk [chapter]

Paulo Moura, Ricardo Rocha, Sara C. Madeira
<span title="">2008</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The individual subgoals usually correspond to predicates implementing different procedures that, depending on the problem specifics, are expected to either fail or succeed with different performance levels  ...  The subgoals compete for providing an answer and the first successful subgoal leads to the termination of the remaining ones.  ...  We are grateful to Jan Wielemaker, Vítor Costa, Terrance Swift and Rui Marques for their groundwork implementing Prolog multithreading core support and for helpful discussions on the subject of this paper  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-92995-6_8">doi:10.1007/978-3-540-92995-6_8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4s33cu4owrgu5kn2x5jnpmruti">fatcat:4s33cu4owrgu5kn2x5jnpmruti</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706072734/http://www.dcc.fc.up.pt/leap/past_publications/pub05.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d2/d6/d2d6b9c1f4996a55752753ee221614a86f6a15ef.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-92995-6_8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

EXPLICIT MIN-MAX MODEL PREDICTIVE CONTROL OF CONSTRAINED NONLINEAR SYSTEMS WITH MODEL UNCERTAINTY

Alexandra Grancharova, Tor A. Johansen
<span title="">2005</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
This paper presents an approximate multi-parametric nonlinear programming approach to explicit solution of constrained nonlinear model predictive control (MPC) problems in the presence of model uncertainty  ...  The approach is applied to design an explicit min-max MPC controller for a continuous stirred tank reactor, where the heat transfer coefficient is an uncertain parameter.  ...  This paper suggests an approximate mp-NLP approach to explicit solution of constrained nonlinear MPC problems in the presence of model uncertainty.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20050703-6-cz-1902.00826">doi:10.3182/20050703-6-cz-1902.00826</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2mitsffdenaujbzpjads5bzmxq">fatcat:2mitsffdenaujbzpjads5bzmxq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070418132955/http://www.itk.ntnu.no/ansatte/Johansen_Tor.Arne/Grancharova_Johansen_IFAC_2005.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/64/9c6442a03f93e58aed80b998211b8becbd0df8c1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20050703-6-cz-1902.00826"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Hard Constraints Explicit Model Predictive Control of an Inverted Pendulum

Haider A. F. Mohamed, Masood Askari and M. Moghavvemi
<span title="2010-06-28">2010</span> <i title="University of Basrah"> Iraqi Journal for Electrical And Electronic Engineering </i> &nbsp;
Explicit solutions to constrained linear model predictive controller can be computed by solving multi-parametric quadratic programs.  ...  In this paper, explicit model predictive controller is applied to an inverted pendulum apparatus.  ...  This research is funded in part by Ministry of Science, Technology and Innovation (MOSTI) under the e-Science fund project no. 06-02-12-SF0072.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.33762/eeej.2010.54340">doi:10.33762/eeej.2010.54340</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v5dhktwginauhd7xpxl5lmohaq">fatcat:v5dhktwginauhd7xpxl5lmohaq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809114622/http://www.ijeee.org/volums/volume6/IJEEE6PDF/Paper66.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/30/19/30190dc946204ac7785dd52e5990a2da1a4920c1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.33762/eeej.2010.54340"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Modeling supply chain operations as multi-level programming problems and their parametric programming based computation methodology

Jun-Hyung Ryu
<span title="2010-10-21">2010</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2kcxxoesnvhejpjcxydf27w6ja" style="color: black;">Korean Journal of Chemical Engineering</a> </i> &nbsp;
A multiparametric programming-based computation methodology is proposed to compute the solution of the problems.  ...  Supply chain operation problems are mathematically formulated into a multilevel programming problem.  ...  Example 2 Consider the following three-level linear programming problem: According to the proposed methodology, the most inner level programming problem can be formulated as the following multi-parametric  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11814-010-0418-x">doi:10.1007/s11814-010-0418-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wp3gvdcssbdkvalcikfnggystu">fatcat:wp3gvdcssbdkvalcikfnggystu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170814034842/https://www.cheric.org/PDF/KJChE/KC27/KC27-6-1681.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/03/a6/03a6670097d344f60f742a93d6c84136bfafd58e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11814-010-0418-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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