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dc.creatorArias Serna, María Andreaspa
dc.creatorPuerta Yepes, María Eugeniaspa
dc.creatorEscalante Coterio, César Edinsonspa
dc.creatorArango Ospina, Gerardospa
dc.date.accessioned2017-06-15T21:49:40Z
dc.date.available2017-06-15T21:49:40Z
dc.date.created2017
dc.identifier.citationArias Serna, M. A.; Puerta Yepes, M. E.; Escalante Coterio, C. E. & Arango Ospina, G. (2017).(Q; r) Model with CV aR of costs minimization. Journal of industrial and management optimization. Volume 13, number 1, pp. 135-146spa
dc.identifier.issn15475816
dc.identifier.urihttp://hdl.handle.net/11407/3350
dc.descriptionIn the classical stochastic continuous review, (Q,r) model [18,19], the inventory cost c(Q,r) has an averaging term which is given as an integral of the expected costs over the different inventory positions during the lead time on any given cycle. The main objective of the article is to study risk averse optimization in the classical (Q,r) model using CVaRα as a coherent risk measure with respect to the probability distribution of the demand D on inventory position costs (the sum of the inventory holding and backorder penality cost), for any given (generic) confidence level α∈[0,1). We show that the objective function is jointly convex in (Q,r). We also compare the risk averse solution and some other solutions in both analytical and computational ways. Additionally, some general and useful results are obtained.spa
dc.language.isoeng
dc.publisherAIMS - American Institute of Mathematical Sciencesspa
dc.relation.isversionofhttp://aimsciences.org/journals/pdfs.jsp?paperID=12311&mode=fullspa
dc.sourceJournal of industrial and management optimizationspa
dc.subject(Q,r) modelspa
dc.subjectCVaRspa
dc.subjectRisk averse optimizationspa
dc.subjectRisk measurespa
dc.subjectInventory modelsspa
dc.title(Q; r) model with Cv aRα of costs minimization
dc.typeArticleeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programIngeniería Financieraspa
dc.identifier.doidoi:10.3934/jimo.2016008
dc.publisher.facultyFacultad de Ingenieríasspa
dc.creator.affiliationArias Serna, María Andrea; Universidad de Medellínspa
dc.creator.affiliationPuerta Yepes, María Eugenia; Universidad EAFITspa
dc.creator.affiliationEscalante Coterio, César Edinson; Empresas Públicas de Medellínspa
dc.creator.affiliationArango Ospina, Gerardo; Universidad EAFITspa
dc.relation.ispartofesJournal of industrial and management optimization. Volume 13, number 1, january 2017 pp. 135-146spa
dc.title.english(Q,r) model with CVaRα of costs minimizationeng
dc.relation.referencesS. Ahmed, U. Cakmak and A. Shapiro, Coherent risk measures in inventory problems, European Journal of Operational Research, 1 (2007), 226-238.spa
dc.relation.referencesP. Artzner, F. Delbaen, J. Eber and D.Heath, Coherent measure of risk, Mathematical Finance, 9 (1999), 203-227.spa
dc.relation.referencesX. Chen, M. Sim, D. Simchi-Levi and P. Sun, Risk aversion in inventory management, Operations Research, 55 (2007), 828-842.spa
dc.relation.referencesL. Cheng and Z. Wana, Bilevel newsvendor models considering retailer with CVaR objective, Computers Industrial Engineering, 57 (2009), 310-318.spa
dc.relation.referencesA. Federgruen and Y. S. Zheng, A simple and efficient algorithm for computing optimal (r, Q) Policies in continuous-review stochastic inventory systems, Operations Research, 40 (1992), 808-813.spa
dc.relation.referencesJ. Gotoh and Y. Takano, Newsvendor solutions via conditional value-at-risk minimization, EuropeanJournal of Operational Research, 179 (2007), 80-96.spa
dc.relation.referencesG. Hadley and M. Whittin, Analysis of Inventory Systems, edition, Prentice-Hall, New York, 1963.spa
dc.relation.referencesW. J. Hopp and M. L. Spearman, Factory Physics, edition, McGraw-Hill, New York, 2001.spa
dc.relation.referencesS. Moosa, A. Mohammed and S. S. Yadavalli, A note on evaluating the risk in continuous review inventory systems, International Journal of Production Research, 47 (2009), 5543-5558.spa
dc.relation.referencesJ. G. Murillo, M. A. Arias and L. C. Franco, Riesgo Operativo: Técnicas de modelación cuantitativa, Sello Editorial Universidad de Medellín, Colombia, 2014.spa
dc.relation.referencesG. Pflug, Some remarks on the value-at-risk and the conditional value-at-risk, in Probabilistic Constrained Optimization, Nonconvex Optim. Appl., 49, Kluwer Acad. Publ., Dordrecht, 2000, 272-281.spa
dc.relation.referencesD. E. Platt, L. W. Robinson and R. B. Freund, Tractable (Q, R) heuristic models for constrained service levels, Management Science, 43 (1997), 951-965.spa
dc.relation.referencesM. E. Puerta, M. A. Arias and J. I. Londoño, Matemáticas Aplicadas: Optimización de Inventarios Aleatorios, Sello Editorial Universidad de Medellín, Colombia, 2011.spa
dc.relation.referencesR. T. Rockafellar and S. P. Uryasev, Conditional Value-at-Risk for general loss distributions, Journal of Banking and Finance, 23 (2002), 1443-1471.spa
dc.relation.referencesH. N. Shi, D. Li and Ch. Gu, The Schur-convexity of the mean of a convex function, Applied Mathematics Letters, 22 (2009), 932-937.spa
dc.relation.referencesR. Vinod, S. Amitabh and J. B. Raturi, On incorporating business risk into continuous review inventory models, European Journal of Operational Research, 75 (1994), 136-150.spa
dc.relation.referencesX. M. Zhang and Y. M. Chu, Convexity of the integral arithmetic mean of a convex function, Rocky Mountain Journal of Mathematics, 40 (2010), 1061-1068.spa
dc.relation.referencesY. Zheng, On properties of stochastic inventory systems, Rocky Mountain Journal of Mathematics, 38 (1992), 87-101.spa
dc.relation.referencesP. H. Zipkin, Foundations of Inventory Management, edition, McGraw-Hill, New York, 2000.spa
dc.identifier.eissn1553166X
dc.type.driverinfo:eu-repo/semantics/article


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