Malmquist Productivity Index Based on Time Effect

Subject Areas : Statistics

M. Vaez-Ghasemi ¹ ( Department of Mathematics, Islamic Azad University, Rasht branch, Iran )

Received: 2015-11-09 Accepted : 2016-02-09 Published : 2016-02-01

Keywords: اندیس بهره وری مالمکوئیست, ارزش زمانی پول, استهلاک, تحلیل پوششی داده ها, بهرهوری,

Abstract :

In recent years, measuring and analyzing productivity changes is the main focus of variousresearches who study performance of organizations. All through widespread application ofMalmquist Productivity Index, different types of data should be considered thoroughly,otherwise any defective study of the related data and deciding factors may yield poor results.Practical Malmquist Productivity Index (PMPI) models, presented in this research, arefundamentally capable of measuring the productivity of units in a competitive atmosphere,along with the hidden economic indexes such as time value of money, amortization andpromoted skills of employees. Also these models would provide the productivity comparisonover different periods of time. Moreover, these models are reliable as well as tangible forsuperior managers and it is noteworthy that they would offer significantly favorableconditions, lack of which may cause the unit under evaluation to face a great deal ofregression.

References:

[1] Armagan G., Ozden A., Bekcioglu S.: Efficiency and total factor productivity of crop production at NUTS1 level in Turkey: Malmquist index approach.Qual Quant DOI 10.1007/s11135-008-9216-5. (2008).

[2] Bezdek J.C.:Fuzzy models-What are they, and Why?. IEEE T FUZZY SYST. 1, 1-9. (1993).

[3] Blank L., Tarquin A., 1983. Eng. Econ. Mc Graw-Hill. (1983).

[4] Caves D.W., Christensen L.R., Diewert W.E., 1982. The economic theory of index numbers and the measurement of input, output and productivity. Econometrica. 50, 1393_ 1414 (1982).

[5] Charnes, A., Cooper, W.W., and Rhodes, E., Measureing the efficiency of decision making units, European journal of operational reaserch. 2 (1978), pp.429-444.

[6] Chen Y.: A non-radial Malmquist productivity index with an illustrative application to Chinese major industries. In. J. Pro. Econ. 83, 27_ 35 (2003).

[7] Dubois D, Prade H.: Fuzzy Sets theory and systems: theory and applications. Academic Press. New york. (1980).

[8] Hosseinzadeh Lotfi F, Jahanshahloo G.R, Vaez-Ghasemi M, Moghaddas Z, Modified Malmquist Productivity Index Based on Present Time Value of Money. Applied mathematics, (2013a).