Document Type: Research Paper

Authors

1 M.Sc. Applied Mathematics of Islamic Azad University, Lahijan Branch

2 Department of Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.

Abstract

In this paper, the efficiency of the performance of some independent units of police organization was evaluated to optimize the total used inputs and the total produced outputs of each unit. For this purpose, with regard to the efficiency and inefficiency of each unit, based on the location of the units to one another, and also due to the limitations on number and the way of transferring the forces of some units, and using the super effective model, a model was presented to reallocate the inputs of the organization units in order to increase and improve the efficiency of inefficient units and to emphasize maintaining the efficiency of efficient units.

Keywords

Main Subjects

Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in data envelopment analysis. Management science, 39(10), 1261-1264.

Anvari Rostami, E.A., Nik Nafas, E., & Khosrovanjam, D. (2009). The application of DEA technique in determining the relative efficacy of police stations. Quarterly periodical of security managemet studies, 4(3), 289-305.

Anvari Rostami, E.A., Nik Nafas, H., & Khosrovanjam, D.(2011). The evaluation of relative efficacy of police units using the DEA method: review study.

Avkian, N. (2001). Investigating technical and scale efficiency of Australian Universities through data envelopment analysis. Socio Economic Planning Sciences, 35,57-80.

Cooper, W.W.,  Seiford, L.M., & Tone, K. (2006). Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software. 2nd Edition, Boston, Kluwer, Springer.

Dadras, M. H., Valivand Zamani, H. (2013). A Performance assessment of the Non-Industrial researches: A case study of the army of the Islamic Republic of Iran. A research Quarterly in military management winter 12(48), 11-42.

Drake, L. M., & Simper, R. (2005). Police efficiency in offences cleared: An analysis of English “Basic command units”. International Review of Law and Economics, 25(2), 186-208.

Gorman, M. F., & Ruggiero, J. (2008). Evaluating US state police performance using data envelopment analysis. International Journal of Production Economics, 113(2), 1031-1037.

Hosseinzadeh, A. A., Hosseinzadeh Lotfi, F., & Moghaddas, Z. (2016). Fuzzy efficiency: Multiplier and enveloping CCR‎ models‎. International Journal of Industrial Mathematics, 8(1), 1-8.

Mosadq Khah, M.,  Izadi Khah, M., Hoseini, S.E.,  & Molaii Azadbani, M. (2011).The evaluation of the performance of educational groups of universities using the interval DEA. The third international conference on DEA, Firooz Kuh, Islamic Azad University Of Firooz Kuh.

Noura, A. A., Lotfi, F. H., Jahanshahloo, G. R., & Rashidi, S. F. (2011). Super-efficiency in DEA by effectiveness of each unit in society. Applied Mathematics Letters, 24(5), 623-626.

Roodposhti, F. R., Lotfi, F. H., & Ghasemi, M. V. (2010). Performance evaluation through data envelopment analysis technique and balanced scorecards approach and its application in bank. Applied Mathematical Sciences, 4(71), 3537-3547.

 Shokrollahpour, E., Lotfi, F. H., & Zandieh, M. (2016). An integrated data envelopment analysis–artificial neural network approach for benchmarking of bank branches. Journal of Industrial Engineering International, 12(2), 137-143.

 Siaby-Serajehlo, H., Rostamy-Malkhalifeh, M., Hosseinzadeh Lotfi, F., & Behzadi, M. H. (2016). Usage of Cholesky Decomposition in order to Decrease the Nonlinear Complexities of Some Nonlinear and Diversification Models and Present a Model in Framework of Mean-Semivariance for Portfolio Performance Evaluation. Advances in Operations Research.

Tangen, S. (2004). Performance measurement: from philosophy to practice. International journal of productivity and performance management, 53(8), 726-737.

Vaez-Ghasmi, M., & Moghaddas, Z. (2017). Productivity Assessment in Data Envelopment Analysis. In Data Envelopment Analysis and Effective Performance Assessment (pp. 217-264). IGI Global..

Wu, T. H., Chen, M. S., & Yeh, J. Y. (2010). Measuring the performance of police forces in Taiwan using data envelopment analysis. Evaluation and Program Planning, 33(3), 246-254.

Zare Haghighi, H.,  Adeli, S.,  Hosseinzadeh Lotfi, F., &  G.R. Jahanshahloo, (2016).Revennue Congestion: An Application of Data Envelopment Analysis, Journal of Indestrial and Management Optimization, 12, 1311-1322.