摘要: DEA is a well-established, widely used, and powerful analytical resource in the toolbox of OR/MS analyst. It used to assess relative efficiency many, functionally similar, entities. has applications diverse areas including finance banking, education, healthcare. computationally intensive and, as scale grows, this intensity rapidly becomes one limiting factors its utility. In paper, we explore computations DEA. We investigate theory behind schemes, procedures algorithms performing study report on current practices ranging from basic standard advanced sophisticated. Our objective give researchers practitioners an appreciation for computational aspects that will permit them understand performance, problems, complications, limitations, well potential technique.
readcube.com 参考文章(31)
José H. Dulá, Richard V. Helgason, Betty L. Hickman, Preprocessing Schemes and a Solution Method for the Convex Hull Problem in Multidimensional Space Computer Science and Operations Research. pp. 59- 70 ,(1992) , 10.1016/B978-0-08-040806-4.50009-5
Jose H. Dula, Francisco Javier Lopez, Algorithms to obtain the frame of a finitely generated unbounded polyhedron The University of Mississippi. ,(1999)
Matthew L. Durchholz, Large-Scale Data Envelopment Analysis Models and Related Applications ,(1994)
Richard S. Barr, Matthew L. Durchholz, Parallel and hierarchical decomposition approaches for solving large-scale Data Envelopment Analysis models Annals of Operations Research. ,vol. 73, pp. 339- 372 ,(1997) , 10.1023/A:1018941531019
Ole B. Olesen, N. C. Petersen, Identification and Use of Efficient Faces and Facets in DEA Journal of Productivity Analysis. ,vol. 20, pp. 323- 360 ,(2003) , 10.1023/A:1027303901017
Donald R. Chand, Sham S. Kapur, An Algorithm for Convex Polytopes Journal of the ACM. ,vol. 17, pp. 78- 86 ,(1970) , 10.1145/321556.321564
José H Dulá, Richard V Helgason, N Venugopal, An Algorithm for Identifying the Frame of a Pointed Finite Conical Hull Informs Journal on Computing. ,vol. 10, pp. 323- 330 ,(1998) , 10.1287/IJOC.10.3.323
José H Dulá, Richard V Helgason, A new procedure for identifying the frame of the convex hull of a finite collection of points in multidimensional space European Journal of Operational Research. ,vol. 92, pp. 352- 367 ,(1996) , 10.1016/0377-2217(94)00366-1
JH Dulá, N Venugopal, None, On characterizing the production possibility set for the CCR ratio model in DEA International Journal of Systems Science. ,vol. 26, pp. 2319- 2325 ,(1995) , 10.1080/00207729508929171
Roger J. B. Wets, Christoph Witzgall, Algorithms for frames and lineality spaces of cones Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics. ,vol. 71B, pp. 1- ,(1967) , 10.6028/JRES.071B.001