Advances on axiomatic nonparametric approaches to productivity and efficiency analysis

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Keshvari, Abolfazl
dc.date.accessioned 2014-05-10T09:00:09Z
dc.date.available 2014-05-10T09:00:09Z
dc.date.issued 2014
dc.identifier.isbn 978-952-60-5661-6 (printed)
dc.identifier.issn 1799-4934 (printed)
dc.identifier.issn 1799-4934 (ISSN-L)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/13004
dc.description Julkaistu vain painettuna, saatavuus katso Bibid. Published only in printed form, availability see Bibid
dc.description.abstract This dissertation contains several important methodological results on nonparametric productivity and efficiency analysis. It spans both theoretically motivated and practically challenging topics in the planning, implementation, and interpretation of efficiency analysis. The dissertation consists of five articles, all of which contribute to the subject from closely related perspectives. Firstly, we study the connection between nonparametric nonconvex efficiency analysis and isotonic regression, and propose a mathematical programming approach for estimating multivariate isotonic regression. We also examine the estimation of non-convex frontier technologies in the presence and absence of stochastic noise. Secondly, we propose an enumeration technique for estimating the nonparametric nonconvex efficient frontiers under different returns to scale assumptions. Furthermore, we present an application of efficiency analysis to explore the changes in value added for a sample of Portuguese secondary schools over a four-year time period. A modified Malmquist index is proposed to measure how the value added evolves over time. We also study the linear relationship between the inputs and outputs of a nonparametric efficiency problem. We consider transformations that can be applied to inputs and outputs without disrupting the efficiency results. We use the concept of dominating cones to analyze the transformed problems. We focus on the selection of variables, and explain how this can impact the dominating cone. A discussion on using linear transformation for dealing with the curse of dimensionality is provided in the dissertation. Lastly, we build a transformation based on the Fourier-Motzkin elimination method, which permits the derivation of a single variable optimization problem from which efficiency scores could be estimated. We build the connection between the constraints of the transformed problem and the supporting hyperplanes of the production possibility set, and show that this transformation generates all the efficient and weakly supporting hyperplanes. Moreover, we show that the proposed transformation does not generate redundant constraints. Extensive numerical comparisons are done to show the performance of the proposed algorithm.  en
dc.format.extent 148
dc.language.iso en en
dc.publisher Aalto University en
dc.publisher Aalto-yliopisto fi
dc.relation.ispartofseries Aalto University publication series DOCTORAL DISSERTATIONS en
dc.relation.ispartofseries 57/2014
dc.relation.haspart Keshvari, Abolfazl; Kuosmanen, Timo. 2013. Stochastic non-convex envelopment of data: Applying isotonic regression to frontier estimation. European Journal of Operational Research, 231, 481-491. DOI: 10.1016/j.ejor.2013.06.005
dc.relation.haspart Keshvari, Abolfazl; Dehghan Hardoroudi, Nasim. 2008. An extended numeration method for solving free disposal hull models in DEA. Asia-Pacific Journal of Operational Research, 25, 5, 689-696. DOI: 10.1142/S021759590800195X
dc.relation.haspart Portela, Maria Conceição A. Silva; Camanho, Ana S.; Keshvari, Abolfazl. 2013. Assessing the evolution of school performance and value added: trends over four years. Journal of Productivity Analysis, 39, 1-14. DOI: 10.1007/s11123-012-0263-5
dc.relation.haspart Keshvari, Abolfazl; Korhonen, Pekka. 2013. On the use of a non-singular linear transformation of variables in data envelopment analysis. Aalto University publication series BUSINESS+ECONOMY, 5/2013, 1–21.
dc.relation.haspart Keshvari, Abolfazl. 2014. An enhanced Fourier-Motzkin method for data envelopment analysis. Aalto University School of Business. Unpublished. 1-20.
dc.subject.other Management en
dc.title Advances on axiomatic nonparametric approaches to productivity and efficiency analysis en
dc.type G5 Artikkeliväitöskirja fi
dc.contributor.school Kauppakorkeakoulu fi
dc.contributor.school School of Business en
dc.contributor.department Department of Information and Service Economy en
dc.contributor.department Tieto- ja palvelutalouden laitos fi
dc.subject.keyword productivity en
dc.subject.keyword efficiency en
dc.subject.keyword nonparametric en
dc.subject.keyword axioms en
dc.subject.keyword nonconvex en
dc.identifier.urn URN:NBN:fi:aalto-201405101779
dc.type.dcmitype text en
dc.type.ontasot Doctoral dissertation (article-based) en
dc.type.ontasot Väitöskirja (artikkeli) fi
dc.contributor.supervisor Kuosmanen, Timo, Professor, Aalto University, Department of Information and Service Economy, Finland
dc.contributor.supervisor Korhonen, Pekka, Professor Emeritus, Aalto University, Department of Information and Service Economy, Finland
dc.opn Olesen, Ole Bent, Professor, University of Southern Denmark, Denmark
dc.subject.helecon operational research
dc.subject.helecon processes
dc.subject.helecon productivity
dc.subject.helecon effectiveness
dc.subject.helecon evaluation
dc.subject.helecon management
dc.subject.helecon operaatiotutkimus
dc.subject.helecon prosessit
dc.subject.helecon tuottavuus
dc.subject.helecon tehokkuus
dc.subject.helecon arviointi
dc.subject.helecon johtaminen
dc.date.defence 2014-05-23
dc.identifier.bibid 681904


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