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Download PDF by R Ramanathan: An Introduction to Data Envelopment Analysis - A Tool for

By R Ramanathan

From the Foreword: 'This booklet is a wonderful device for practitioners who're attracted to the benefits and pitfalls of the technique…. (The author's) study is an instance of inventiveness, diligence and accuracy' - Freerk A. Lootsma, Delft Institute of expertise information envelopment research is a Mathematical Programme for measuring functionality potency of organizational devices. The organizational devices, termed as decision-making devices (DMU) might be of any variety: production devices, a suite of faculties, banks, hospitals, strength crops, police stations, prisons, a collection of companies and so forth. DEA has been unsuccessfully utilized to degree the functionality potency of those other forms of DMUs which percentage a standard attribute - that they're non-profit association the place size of functionality potency is hard. DEA has been hired for assessing the relative functionality of a suite of businesses that use numerous exact inputs-say when it comes to a college: caliber of scholars, academics, gives you etc.,-to produce quite a few exact outputs-number of scholars who move the ultimate 12 months, typical grades bought by way of the scholars within the ultimate 12 months and so forth. DEA assumes the functionality of the DMUs by utilizing the strategies of potency or productiveness that's measured because the ratio of overall outputs to overall inputs. additionally, the efficiencies anticipated are relative to the simplest appearing DMU or DMUs. the simplest appearing DMU is given a rating of a hundred% and the functionality of alternative DMUs differ among zero -100%.

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17). The dual objective function for a firm corresponding to point E is min θ E − ε s EMP, E , * which is less than 1 as e and sEMP, B are positive. 1. Firms P and R are efficient. They represent the best practice. This implies that no other firm or no linear combination5 of firms can be identified which produces the same level of output for less than either or both the inputs. As we have seen earlier, the dual DEA program for these two firms will indicate zero slacks and unit efficiency. For example, the dual DEA optimal results for Firm P are the following, where 5 A linear combination of a set of variables is one in which each variable is multiplied by a coefficient and the products summed.

Thus, the weights assigned should be flexible and reflect the requirement (performance) of the individual DMUs. This issue of assigning weights is tackled in DEA by assigning a unique set of weights for each DMU. The weights for a DMU 40 An Introduction to Data Envelopment Analysis are determined, using mathematical programming, as those weights which will maximize its efficiency subject to the condition that the efficiencies of other DMUs (calculated using the same set of weights) is restricted to values between 0 and 1.

8) The weighted sum of inputs is constrained to be unity in this linear program. As the objective function is the weighted sum of outputs that has to be maximized, this formulation is referred to as the Output Maximization DEA program. An analogous LP formulation is possible by minimizing the weighted sum of inputs, setting the weighted sum of outputs equal to unity. That is the Input Minimization DEA program. The following is the Input Minimization DEA program for Firm A. , the value of efficiency) of the output maximization DEA program for Firm A.

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