References
S. Afriat, Efficiency estimation of production functions, International, Economic Review 13 (1977) 568.
D.T. Aigner, T. Anemiya and P.J. Poirier, On the estimation of production frontiers: Maximum likelihood estimation of the parameters of a discontinuous density function. International Economic Review 17, No. 2 (1976) 377.
D.T. Aigner and S.F. Chu, On the estimation of the industry production function. American Economic Review 55, No. 4 (1968) 826.
D.T. Aigner, C.A.K. Lovell and P.J. Schmidt, Formulation and estimation of stochastic frontier production models, Journal of Econometrics 6, No. 1 (1977) 21.
R.D. Banker, A game theoretic approach to measuring efficiency, European Journal of Operational Research 5 (1980) 262.
R.D. Banker, Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research 17 (1984) 35.
R.D. Banker, Studies in cost allocation and efficiency evaluation, DBA thesis (Harvard University Graduate School of Business Administration, Boston, 1980).
R.D. Banker, A. Charnes and W.W. Cooper, Input inefficiencies and output synergies in data envelopment analysis (University of Texas Center for Cybernetic Studies Research Report, Austin, Dec., 1983).
R.D. Banker, A. Charnes and W.W. Cooper, Models for estimating technical and scale efficiencies in data envelopment analysis. Management Science 30, No. 9 (1984) 1078.
R.D. Banker, A. Charnes, W.W. Cooper and A. Maindiratta, A, comparison of DEA and translog estimates of production frontiers using simulated observations, from a known technology, Current Issues in Productivity (to appear).
R.D. Banker, A. Charnes, W.W. Cooper and A. Schinnar, A bi-extremal principle for frontier estimation and efficiency evaluation. Management Science 27, No. 12 (1981) 1370.
R.D. Banker, R. Conrad and R. Strauss, An application of data envelopment analysis to a study of hospital efficiencies and scale sizes, Working paper 81-89 (Carnegie-Mellon University, Dec., 1981).
R.D. Banker and A. Maindiratta, Nonparametric estimation of production frontiers, Econometrica (submitted).
R.D. Banker and R.C. Morey, Efficiency analysis for exogenously fixed inputs and outputs. Operations Research (submitted).
A. Bessent and W. Bessent, Determining the comparative efficiency of schools through data envelopment analysis, Educational Administration Quarterly 16, No. 2 (1980) 57.
A. Bessent, W. Bessent, A. Charnes, W.W. Cooper and N. Thorogood, Evaluation of educational proposals by means of DEA, Educational Administration Quarterly 19, No. 2 (1983) 82.
A. Bessent, W. Bessent, C.T. Clark and J. Elam, Constrained facet analysis, a new method for evaluating local frontiers of efficiency and performance, Air Force Journal of Logistics (forthcoming).
A. Bessent, W., Bessent, J., Kennington and B. Regan, An application of mathematical programming to assess productivity in the Houston independent school district, Management Science 28, No. 12 (1982) 1355.
W.F. Bowlin, A data envelopment analysis approach to performance evaluation in not-forprofit entities with an illustrative application to the U.S. Air Force, Ph. D. thesis (the University of Texas Graduate School of Business, Austin, Texas, 1984).
W.F. Bowlin, J. Brennan, A. Charnes, W.W. Cooper and T. Sueyoshi, A model for measuring amounts of efficiency dominance (University of Texas Center for Cybernetic Studies Research Report, Austin, March, 1984).
G. Boyd and R. Färe, Measuring the efficiency of decision making units: a comment. See also: A Charnes and W.W. Cooper, The non-Archimedean CCR ratio for efficiency analysis: A rejoinder to Boyd and Färe, European Journal of Operational Research 15, No. 3 (1984) 331.
P. Byrnes R. Färe and S. Grosskopf, Measuring productive efficiency: An application to Illinois strip mines, Management Science 30, No. 6 (1984) 671.
D.E. Carlson, The production and cost behavior of higher education institutions, Ph. D. thesis (University of California at Berkeley, Berkeley, 1972).
A. Charnes, T. Clark, W.W. Cooper and B. Golany, A developmental study of data envelopment analysis in measuring the efficiency of maintenance units in the U.S. Air Forces, Research Report CCS 460 (Center for Cybernetic Studies, University of Texas at Austin, 1983).
A. Charnes and W.W. Cooper, Auditing and accounting for program efficiency in not-for-profit entities, Accounting, Organizations and Society 5, No. 1 (1980) 87.
A. Charnes and W.W. Cooper, Goal programming and constrained regression, Omega 3, No. 4 (1975) 403.
A. Charnes and W.W. Cooper, Goal programming and multiple objective optimizations, European Journal of Operational Research 1, No. 1 (1977) 39.
A. Charnes and W.W. Cooper,Management Models and Industrial Applications of Linear Programming (Wiley, New York, 1961).
A. Charnes and W.W. Cooper, Management science relations for evaluation and management accountability, Journal of Enterprise Management 2 (1980) 143.
A. Charnes and W. W. Cooper, Management science relations for evaluation and management accountability, Journal of Enterprise Managment 2, No. 24 (1978).
A. Charnes and W.W. Cooper, Managerial econnomics: past, present and future, Journal of Enterprise Management 1, No. 1 (1978) 5.
A. Charnes and W.W. Cooper, Programming with linear fractional functionals. Naval Research Logistics Quarterly 9 (1962) 181.
A. Charnes and W.W. Cooper, Structural sensitivity analysis in linear programming and an exact product form left inverse. Naval Research Logistics Quarterly 15, No. 4 (1968) 517.
A. Charnes, W.W. Cooper, D. Divine, G.A. Klopp and J. Stutz, An application, of data envelopment analysis to U.S. Army recruitment districts, Applications of Management Science, A Research Annual, ed. R.L. Schultz (JAI Press, Inc., Greenwich, Conn.) (forthcoming).
A. Charnes, W.W. Cooper and R.O. Ferguson, Optimal estimation of executive compensation by linear programming, Management Science A, No. 2 (1955) 138.
A. Charnes, W.W. Cooper, B. Golany, L. Seiford and J. Stutz, Pareto optimality, efficiency analysis and empirical production functions, Journal of Economentrics (forthcoming).
A. Charnes, W.W. Cooper, D.B. Learner and F.Y. Phillips, Management science and marketing management, Journal of Marketing, Vol. 49, No. 3 (Summer, 1985).
A. Charnes, W.W. Cooper, A. Lewin, R. Morey and J. Rousseau, An approach to positivity and stability analysis in DEA, Management Science (submitted).
A. Charnes, W.W., Cooper and E. Rhodes, An efficiency opening for managerial accounting in not-for-profit entities, in:Management Accounting 1980: Proc. of the University of Illinois Management Accounting Symposium (University of Illinois, Urbana, 1980), ed. H.P. Holzer.
A. Charnes, W. W. Cooper and E. Rhodes, Data envelopment analysis as an approach for evaluating program and managerial efficiency — with an illustrative application to the program follow through experiment in U.S. public school education, Management Science 27, No. 6 (1981)668.
A. Charnes, W. W. Cooper and E. Rhodes, Measuring efficiency of decision making units. European Journal of Operational Research 3, No. 4(1979)339.
A. Charnes, W. W. Cooper and E. Rhodes, Short communication: Measuring efficiency of decision making units, European Journal of Operational Research 3, No. 4(1979)339.
A. Charnes, W. W. Cooper and A. Schinnar, Transforms and approximations in cost and production function theory. Omega 10, No. 2(1982).
A. Charnes, W. W. Cooper, L. Seiford and J. Stutz, A multiplicative model for efficiency analysis, Socio-Economic Planning Sciences 16, No. 5(1982)223.
A. Charnes, W.W. Cooper, L. Seiford and J. Stutz, Invariant multiplicative efficiency and piecewise Cobb-Douglas envelopments. Operations Research Letters 2, No. 3 (1983)101.
A. Charnes, W. W. Cooper and R.M. Thrall, Classifying and characterizing efficiencies and inefficiencies in Data Envelopment Analysis, Oper. Res. Lett. (submitted).
C.T. Clark, Data envelopment analysis and extensions for decision support and management planning, Ph.D. thesis (University of Texas at Austin Graduate School of Business, Austin, 1983).
N.C. Churchill, W.W. Cooper and V. Govindarajan, Effects of audits on the behavior of medical professionals under the Bennett amendment, Auditing: A Journal of Practice and Theory 1, No. 2(1982).
W.W. Cooper, Understanding prediction and control — and other matters for scientific research,SUPALUM (Carnegie-Mellon University School of Urban and Public Affairs, Pittsburgh, 1975).
W.W. Cooper and Y. Ijiri, eds.,Kohler's Dictionary for Accountants, 6th edition, (Prentice-Hall, Inc., Englewood Cliffs, N.J., 1983).
G. Debreu, The coefficient of resource utilization, Econometrica 19(1951)273.
W.E. Diewert, Duality approaches to microeconomic theory, in:Handbook of Mathematical Economics, ed. K.J. Arrow and M.D. Intriligator (North-Holland, Amsterdam, 1982).
W.E. Diewert and C. Parkan, Linear programming tests of regularity conditions for production functions, in:Quantitative Studies on Production and Prices, ed. W. Eickhorn, R. Henn, K. Neumann and R.W. Shephard (Physica-Verlag, Wurzburg-Wien, 1983).
R. Färe and C.A.K. Lovell, Measuring the technical efficiency of production, Journal of Economic Theory 19, No. 1(1978)150.
M.J. Farrell, The measurement of productive efficiency, Journal of the Royal Statistical Society, Series A, 120, part 3 (1957)253.
M.J. Farrell and M. Fieldhouse, Estimating efficient production frontiers under increasing returns to scale, Journal of the Royal Statistical Society, Series A, (1962)252.
M. Feldstein,Economic Analysis for Health Service Efficiency (North-Holland, Amsterdam, 1968).
W. Fenchel,Convex Sets, Cones and Functions (Princeton University Press, Princeton, 1953).
F.R. Førsund, C.A.K. Lovell and P. Schmidt, A survey of frontier production functions and of their relationship to efficiency measurement, ed. D.J. Aigner and P. Schmidt, Journal of Econometrics, Suppl. 13, No. 1(1980)5.
G. Hanoch and M. Rothschild, Testing the assumptions of production theory: A nonparametric approach, Journal of Political Economy 80(1972)256.
T.C. Koopmans, Analysis of production as an efficient combination of activities, in:Activity Analysis of Production and Allocation, ed. T.C. Koopmans (Wiley, New York, 1951).
R. Kopp, The measurement of productive efficiency: A reconsideration, Quarterly Journal of Economics 96, No. 3(1981)477.
R. Kopp and W.E. Diewert, The decomposition of frontier cost function deviations into measures of technical and allocative efficiency. Journal of Economentrics 19, Nos. 2 and 3 (1982)319.
K. Laitinen,A Theory of the Multiproduct Firm (North-Holland, Amsterdam, 1980).
A.Y. Lewin and R.C. Morey, Measuring the relative efficiency of output potential of public sector organizations: An application of data envelopment analysis, Journal of Policy Analysis and Information Systems (1981).
A. Y. Lewin, R.C. Morey and T.J. Cook, Evaluating the administrative efficiency of courts, Omega (1982).
C.A.L. Lovell and P. Schmidt, A comparison of alternative approaches to the measurement of productive efficiency, Current issues in Productivity Analysis (to appear).
D. McFadden, Cost, revenue and profit functions, in:Production Economics: A Dual Approach to Theory and Applications, ed. M. Fuss and D. McFadden (North-Holland, Amsterdam, 1978).
E. Rhodes, Data envelopment analysis and related approaches for measuring the efficiency of decision making units with an application to program follow through in U.S. education, Ph.D. thesis Carnegie-Mellon University, School of Urban and Public Affairs, Pittsburgh, 1978).
J. Richmond, Estimating the efficiency of production, International Economic Review 15 (1974)515
D. Sato,Production Functions and Aggregation (North-Holland, Amsterdam, 1975).
A.P. Schinnar, Frameworks for social accounting and monitoring of invariance, efficiency and heterogeneity, Fels discussion paper 147 (University of Pennsylvania, School of Public and Urban Policy, Philadelphia, 1980).
P. Schmidt and C.A.K. Lovell, Estimating stochastic production and cost frontiers when technical and allocative efficiency are correlated, Journal of Econometrics 13, No. 1(1980)83.
R.W. Shephard,Cost and Production Functions (Princeton University Press, Princeton, 1953).
R.W. Shephard,Theory of Cost and Production Functions (Princeton University Press, Princeton, 1970).
H.D. Sherman, Measurement of hospital technical efficiency: A comparative evaluation of data envelopment analysis and other approaches for locating inefficiency in health care organizations, DBA thesis (Harvard University Graduate School of Business Administration, Boston, 1981).
H.R. Varian, The nonparametric approach to production analysis, Econometrica 52, No. 3(1984)579.
Author information
Authors and Affiliations
Additional information
This research was partly supported by ONR Contract N00014-80-C0582 with the Center for Applied Business Research, Fuqua School of Business, Duke University and partly by USARI Contract MDA 903-82-M-1340 and U.S. Air Force Contract F 49642-82-C-0129 with the Center for Cybernetic Studies of the University of Texas at Austin. Reproduction in whole or in part is permitted for any purpose of the U.S. Government.
Rights and permissions
About this article
Cite this article
Charnes, A., Cooper, W.W., Lewin, A.Y. et al. Sensitivity and stability analysis in dea. Ann Oper Res 2, 139–156 (1984). https://doi.org/10.1007/BF01874736
Issue Date:
DOI: https://doi.org/10.1007/BF01874736