Evaluating the Performance of Iranian Football Teams Utilizing Linear Programming

Jahangir Soleimani-Damaneh, Mehrzad Hamidi, Nasrollah Sajadi

Faculty of Physical Education and Sport Science, University of Tehran, Tehran, Iran.

DOI: 10.4236/ajor.2011.12010                

Abstract

In this paper, we utilize Data Envelopment Analysis (DEA), which is a linear programming-based technique, for evaluating the performance of the teams which operate in the Iranian primer football league. We use Analytical Hierarchy Process (AHP) technique for aggregating the sub-factors which involve in input-output factors, and then DEA is used for calculating the efficiency measures. Also, AHP is used to construct some weight restrictions for increasing the discrimination power of the used DEA model. For calculating the efficiency measures, input-oriented weight-restricted BCC model is utilized.

Keywords

DEA, Linear Programming, Sport Management, Football

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	W. W. Cooper, L. M. Sieford and K. Tone, “Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA Solver Software,” Kluwer Academic Publishers, 2000.
[2]	E. Thanassoulis, “Introduction to the Theory and Application of Data Envelopment Analysis,” Kluwer Academic Publishers, Norwell, 2001.
[3]	A. Charnes, W. W. Cooper and E. Rhodes, “Measuring the Efficiency of Decision Making Units,” European Journal of Operational Research, Vol. 2, No. 6, 1978, pp. 429-444. doi:10.1016/0377-2217(78)90138-8
[4]	R. D. Banker, A. Charnes and W. W. Cooper, “Some Models For Estimating Technical and Scale Efficiencies in Data Envelopment Analysis,” Management Science, Vol. 30, No. 9, 1984, pp. 1078-1092. doi:10.1287/mnsc.30.9.1078
[5]	A. Emrouznejad, B. R. Parker and G. Tavares, “Evaluation of Research in Efficiency and Productivity: A Survey and Analysis of the First 30 Years of Scholarly Literature in DEA,” Socio-Economic Planning Sciences, Vol. 42, No. 3, 2008, pp. 151-157. doi:10.1016/j.seps.2007.07.002
[6]	P. Dawson, and S. Dobson, “Managerial Efficiency and Human Capital: An Application to English Association Football,” Managerial and Decision Economics, Vol. 23, No. 8, 2002, pp. 471-486. doi:10.1002/mde.1098
[7]	C. P. Barros and S. Leach, “Performance Evaluation of the English Premier Football League with Data Envelopment Analysis,” Applied Economics, Vol. 38, No. 12, 2006, pp. 1449-1458. doi:10.1080/00036840500396574
[8]	C. P. Barros and Garcia-del-Barrio, “Efficiency Measurement of the English Football Premier League with a Random Frontier Model,” Economic Modelling, Vol. 25, No. 5, 2008, pp. 994-1002. doi:10.1016/j.econmod.2008.01.004
[9]	C. P. Barros and S. Leach, “Analyzing the Performance of the English F. A. Premier League With an Econometric Frontier Model”, Journal of Sports Economics, Vol. 7, No. 4, 2006, pp. 391-407. doi:10.1177/1527002505276715
[10]	C. P. Barros and S. Leach, “Technical Efficiency in the English Football Association Premier League with a Stochastic Cost Frontier,” Applied Economics Letters, Vol. 14, No. 10, 2007, pp. 731-741. doi:10.1080/13504850600592440
[11]	Guzman and S. Morrow, “Measuring Efficiency and Productivity in Professional Football Teams: Evidence from the English Premier League,” Central European Journal of Operations Research, Vol. 15, No. 4, 2007, pp. 309-328. doi:10.1007/s10100-007-0034-y
[12]	C. P Barros, A. Assaf and F. Sa-Earp, “Brazilian Football League Technical Efficiency: A Bootstrap Approach,” School of Economics and Management, Vol. 27, No. , 2009, working paper.
[13]	C. P. Barros, A. Assaf and F. S. Earp, “Brazilian Football League Technical Efficiency: A Bootstrap Approach,” Working Papers from Department of Economics at the School of Economics and Management (ISEG), Technical University of Lisbon, http://www.repository.utl. pt/bitstream/10400.5/1860/1/getFile27.pdf.
[14]	G. M. Caloba and M. P. Lins, “Performance Assessment of the Soccer Teams in Brazil Using DEA,” Pesquisa Operacional, Vol. 26, No. 3, 2006, pp. 521-536.
[15]	T. Tiedemann and T. Francksen, “Assessing the performance of German Bundesliga Football Players: An On-Parametric Meta Frontier Approach,” Unpublished. doi:10.1590/S0101-74382006000300005
[16]	D. J. Haas, M. G. Kocher and M. Sutter, “Measuring efficiency of German football Teams By Data Envelopment Analysis,” Central European Journal of Operations Research and Economics, Vol. 12, No. , 2004, pp. 251-268.
[17]	M. E. Escuer and L. I. G. Cebrian, “Measurement of the Efficiency of FootballTeams in the Champions League,” Journal Managerial and Decision Economics, Vol. 31, No. 6, 2010, pp. 373-386. doi:10.1002/mde.1491
[18]	I. Guzman, “Measuring Efficiency and Sustainable Growth in Spanish Football Teams,” European Sport Management Quarterly, Vol. 6, No. 3, 2006, pp. 267-287. doi:10.1080/16184740601095040
[19]	G. Gomez and A. J. Tadeo, “Can We be Satisfied with Our Football Team? Evidence from Spanish Professional Football,” Journal of Sports Economics, Vol. 11, No. 4, 2010, pp. 418-442. doi:10.1177/1527002509341020
[20]	M. Jardin, “Efficiency of French Football Clubs and Its Dynamics,” University of Rennes 1, CREM (UMR CNRS 6211), MPRA, Vol. 23, No. 19828, 2009, pp.
[21]	J. Douvis and C. P. Barros, “Comparative Analysis of Football Efficiency among Two Small European Countries: Portugal and Greece”, International Journal of Sport Management and Marketing, Vol. 6, No. 2, 2009, pp. 183-199. doi:10.1504/IJSMM.2009.028801
[22]	J. E. Bosca, V. Liern, A. Martinez and R. Sala, “Increasing Offensive or Defensive Efficiency? An Analysis Of Italian and Spanish Football,” Omega, Vol. 37, No. 1, 2009, pp. 63-78. doi:10.1016/j.omega.2006.08.002
[23]	Y. H. Lee, “Evaluating Management Efficiency of Korean Professional Teams Using Data Envelopment Analysis (DEA),” International Journal of Applied Sports Sciences, Vol. 21, No. 2, 2009, pp. 93-112.
[24]	Ch. Papahristodoulou, “Team Performance in UEFA Champions League,” June 2005. http://mpra.ub.uni-muen-chen.de/138/
[25]	T. L. Saaty, “The Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process,” RWS Publications, 2000.
[26]	B. E. Fad, “Analytical Hierarchy Process (AHP) Approach to Size Estimation,” Unpublished.
[27]	J. Soleimani-damaneh, M. Soleimani-damaneh and M. Hamidi, “Efficiency Analysis of Provincial Departments of Physical Education in Iran,” Submitted.
[28]	G. R. Jahanshahloo and M. Soleimani-damaneh. “A Note on Simulating Weights Restrictions in DEA: An Improvement of Thanassoulis and Allen’s Method,” Computers and Operations Research, Vol. 32, No. 4, 2005, pp. 1037-1044. doi:10.1016/j.cor.2003.08.020
[29]	http://www.ffiri.ir.
[30]	S. Szymanski and T. Kuypers, “Winners and Losers: The Business Strategy of Football,” 1999, Unpublished.
[31]	S. Szymanski and R. Smith, “The English Football Industry: Profit, Performance and Industrial Structure,” International Review of Applied Economics, Vol. 11, No. 1, 1997, pp. 135-154.
[32]	S. Hamil, J. Michie, Ch. Oughton and L. Shailer, “The State of the Game: The Corporate Governance of Football Clubs,” New Academy Review, Vol. 1, No. 1, 2002, pp. 179-92.
[33]	D. J. Haas, M. G. Kocher and M. Sutter “Measuring Efficiency of German Football Teams by Data Envelopment Analysis,” Central European Journal of Operations Research and Economics, Vol. 12, No. , pp. 251-268.
[34]	M. Kern and B. Sussmuth, “Managerial Efficiency in German Top League Soccer: An Econometric Analysis of Club Performances on and off the Pitch,” German Economic Review, Vol. 6, No. 4, 2005, pp. 485-506. doi:10.1111/j.1468-0475.2005.00143.x