Camanho AS, Dyson RG (2006) Data envelopment analysis and Malmquist indices for measuring group performance. J Product Anal 26:35–49
Caves DW, Christensen LR, Diewert WE (1982) The economic theory of index numbers and the measurement of input, output and productivity. Econometrica 50:1393–1414
Charnes A, Cooper WW (1962) Programming with linear fractional functionals. Nav Res Logist Q 2:429–444
Charnes A, Cooper WW (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2:429–444
Chen Y (2003) A non-radial Malmquist productivity index with an illustrative application to Chinese major industries. Int J Prod Econ 83:27–35
Chen Y, Ali AI (2003) DEA Malmquist productivity measure: new insights with an application to computer industry. Eur J Oper Res 159:239–249
Cherchye L, De Rock B, Dierynck B, Roodhooft F, Sabbe J (2013) Opening the black box of efficiency measurement: input allocation in multi-output settings. Oper Res 61:1148–1165
Cherchye L, De Rock B, Vermeulen F (2008) Cost-efficient production behavior under economies of scope: a nonparametric methodology. Oper Res 56:204–221
Cherchye L, De Rock B, Walheer B (2015) Multi-output efficiency with good and bad outputs. Eur J Oper Res 240:872–881
Cherchye L, De Rock B, Walheer B (2016) Multi-output profit efficiency and directional distance functions. Omega (West) 61(C):100–109
Cook WD, Seiford LM (2009) Data Envelopment Analysis (DEA) - Thirty years on. Eur J Oper Res 192:1–17
Cooper WW, Seiford LM, Tone K (2007) Data envelopment analysis: a comprehensive text with models, applications, references and DEA-Solver Software, 2nd edn. Springer, New York
Cooper WW, Seiford LM, Zhu J (2004) Handbook on data envelopment analysis, 2nd edn. Springer, New York
Debreu G (1951) The coefficient of resource utilization. Econometrica 19(3):273–292
Despic O, Despic M, Paradi J (2007) DEA-R: ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications. J Product Anal 28:33–44
Färe R, Grosskopf S, Lovell CAK (1994a) Production frontier. Cambridge University Press, Cambridge
Färe R, Grosskopf S, Norris M (1994b) Productivity growth, technical progress and efficiency change in industrialized countries. Am Econ Rev 84:66–83
Färe R, Grosskopf S, Norris M (1997) Productivity growth, technical progress and efficiency change in industrialized countries: reply. Am Econ Rev 87:1040–1043
Färe R, Grosskopf S, Whittaker G (2007) Network DEA. In: Zhu J, Cook W (eds) Modeling data irregularities and structural complexities in data envelopment analysis, Springer, New York
Farrell M (1957) The measurement of productive efficiency. J R Stat Soc 120:253–281
Fried H, Lovell CAK, Schmidt S (2008) The measurement of productive efficiency and productivity change. Oxford University Press, Oxford
Grosskopf S (2003) Some remarks on productivity and its decompositions. J Product Anal 20(3):459–474
Huang M-Y, Juo J-C (2015) Metafrontier cost Malmquist productivity index: an application to Taiwanese and Chinese commercial banks. J Product Anal 44:321–335
Kao C (2010) Malmquist productivity index based on common-weights DEA: the case of Taiwan forests after reorganization. Omega 38:484–491
Kao C, Hwang S-N (2014) Multi-period efficiency and Malmquist productivity index in two-stage production systems. Eur J Oper Res 232:512–521
Malmquist S (1953) Index numbers and indifference surfaces. Trab De Estat 4:209–242
Maniadakis N, Thanassoulis E (2004) A cost Malmquist productivity index. Eur J Oper Res 154:396–409
Mayer A, Zelenyuk V (2014) Aggregation of Malmquist productivity indexes allowing for reallocation of resources. Eur J Oper Res 238:774–785
O’Donnell CJ (2012) An aggregate quantity framework for measuring and decomposing productivity change. J Product Anal 38:255–272
Oh DH, Lee J-D (2010) A metafrontier approach for measuring Malmquist productivity index. Empir Econ 38:47–64
Pastor JT, Asmild M, Lovell CAK (2011) The biennial Malmquist productivity change index. Socioecon Plann Sci 45:10–15
Pastor JT, Lovell CAK (2005) A global Malmquist productivity index. Econ Lett 88:266–271
Peyrache A (2014) Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index. J Product Anal 41(3):435–442
Portela MCAS, Thanassoulis E (2010) Malmquist indices for measuring productivity in the presence of negative data: an application to bank branches. J Bank Financ 34:1472–1483
Ray S, Delsi E (1997) Productivity growth, technical progress and efficiency change in industrialized countries: Comment. Am Econ Rev 87:1033–1039
Salerian J, Chan C (2005) Restricting multiple-output multiple-input DEA models by disaggregating the output-input vector. J Product Anal 24:5–29
Sarkis J, Cordeiro JJ (2012) Ecological modernization in the electrical utility industry: an application of a bads-goods DEA model of ecological and technical efficiency. Eur J Oper Res 219:386–395
Shepard RW (1953) Cost and production functions. Princeton University Press, Princeton
Shepard RW (1970) Theory of cost and production functions. Princeton University Press, Princeton
Thanassoulis E, Shiraz RK, Maniadakis N (2015) A cost Malmquist productivity index capturing group performance. Eur J Oper Res 241:796–805
Tohidi G, Razavyan S, Tohidnia S (2012) A global cost Malmquist productivity index using data envelopment analysis. J Oper Res Soc 63:72–78
Tone K, Tsutsui M (2009) Network DEA: a slacks-based measure approach. Eur J Oper Res 197:243–252
Tone K, Tsutsui M (2011) Applying an efficiency measure of desirable and undesirable outputs in DEA to U.S. electric utilities approach. J Cent Cathedra 4:236–249
Tulkens H (1993) On FDH analysis: some methodological issues and applications to retail banking, courts and urban transit. J Product Anal 4:183–210
Varian HR (1984) The non-parametric approach to production analysis. Econometrica 52:579–598
Walheer B (2016a) A multi-sector nonparametric production-frontier analysis of the economic growth and the convergence of the European countries. Pac Econ Rev 21(4):498–524
Walheer B (2016b) Growth and Convergence of the OECD countries: a multi-sector production-frontier approach. Eur J Oper Res 252:665–675
Walheer B (2017) Disaggregation of the Cost Malmquist Productivity Index with joint and output-specific inputs. Omega, accepted 75:1–12
Wang Y-M, Lan Y-X (2011) Measuring Malmquist productivity index: a new approach based on double frontiers data envelopment analysis. Math Comput Model 54:2760–2771
Yang B, Youliang Z, Zhang H, Zhang R, Xu B (2016) Factor-specific Malmquist productivity index based on common weights DEA. Operation Res, forthcoming. 16(1):51–70
Yang YL, Huang CJ (2009) Estimating the Malmquist productivity index in the Taiwanese banking industry: a production and cost approach. Taiwan Econ Rev 37:353–378
Yu MM (2007) The capacity productivity change and the variable input productivity change: a new decomposition of the Malmquist productivity index. Appl Math Comput 185:375–381
Zelenyuk V (2006) Aggregation of Malmquist productivity indexes. Eur J Oper Res 174:1076–1086
