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

April 4, 2017 | Occupational Organizational | By admin | 0 Comments

By R Ramanathan

From the Foreword: 'This booklet is a wonderful device for practitioners who're drawn to the advantages and pitfalls of the technique…. (The author's) learn is an instance of inventiveness, diligence and accuracy' - Freerk A. Lootsma, Delft Institute of know-how info envelopment research is a Mathematical Programme for measuring functionality potency of organizational devices. The organizational devices, termed as decision-making devices (DMU) will be of any sort: production devices, a suite of colleges, banks, hospitals, strength vegetation, police stations, prisons, a suite of businesses and so forth. DEA has been unsuccessfully utilized to degree the functionality potency of those other forms of DMUs which percentage a typical 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 various exact inputs-say relating to a faculty: caliber of scholars, lecturers, delivers etc.,-to produce various exact outputs-number of scholars who go the ultimate 12 months, usual grades received through the scholars within the ultimate 12 months and so on. DEA assumes the functionality of the DMUs through the use of the thoughts of potency or productiveness that's measured because the ratio of overall outputs to overall inputs. additionally, the efficiencies expected are relative to the simplest acting DMU or DMUs. the simplest acting DMU is given a ranking of a hundred% and the functionality of alternative DMUs differ among zero -100%.

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1. It represents a standard of performance that the firms not on the frontier should try to achieve. Firms on the frontier (Firms A and C here) are considered 100 per cent efficient. 3 This efficiency frontier forms the basis of efficiency measurement. The efficiency frontier envelops the available data. Hence, the term Data Envelopment Analysis. In the DEA literature, Firms A and C are called efficient firms while Firms B and D that do not lie on the efficiency frontier are called inefficient firms.

1 because the line defines the best achieved performance. This is exemplified by Firm A in this case. Thus, Firm A defines the best achievable performance of Firm B. Hence Firm A is called the peer for Firm B. Peers are always efficient firms. Inefficient firms can try to emulate their peers in order to improve their efficiency. Given this best possible performance, one can measure the efficiency of Firm B as the ratio of distance OE to the distance OB. 44 per cent. Similarly, the relative efficiency of Firm D can be estimated.

The first subscript denotes the output, while the second subscript denotes the reference DMU. Using a similar notation, let uCAP, A and uEMP, A represent the weights of the two inputs, capital employed (CAP) and the number of employees (EMP), respectively. Thus, in DEA, the efficiency of Firm A, denoted as EA, is defined as follows. 8uEMP, A This efficiency is maximized subject to the following conditions. 6) The above mathematical program, when solved, will give the values of weights u and v that will maximize the efficiency of Firm A.

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