Evaluating the performance of Iranian football team utilizing linear programming

This in turn has a positive effect on the overall performance of the entire system. A major advantage that is experienced is that the analysis of the performance of the system can help the managers to come up with a sketch of a suitable plan for the allocation of the budget, common club revenues, rewards and the shared costs to decision making units (Cooper et al 2000).
Charnes et al proposed a CCR model of Data envelopment analysis (DEA) which is a technique based on non parametric linear programming. It is normally used for measuring the relative efficiencies of a given set of decision making units which normally consume multiple inputs to produce multiple outputs. Through further studies, more improvement was done on the previous work on the BCC model. A number of publications have done addressing the application of Data envelopment analysis (DEA) in football. In regard to this Guzman and Morrow made use of information from club’s financial statements in measuring the cooperate performance using the malmquist non parametric technique to measure the efficiency and production. A study conducted in the Spanish football league whereby comparison was done and the results were obtained on the basis of the potential. The Spanish league was also analyzed from a financial point of view (Guzman amp. Morrow, 2007).
The need for analysis of complex decision making arises from the need to monitor the performance of football teams in Iran based on the available records of finance, performance trends and all activities associated with the management of football teams. This will help to make more informed decisions and improve the management and performance of football teams.
Assume that we have n number of Decision making units whereby DMUj. j=1,2,……,n using the input levels Xiij. i=1,2,…,m to produce output levels yrj, r=1,2,….,s. let (xj, yj) denote the input output vector of Decision making units. Consider DMU0(x0, y0) which 0ϵ{1,2,…,n}.
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