The Measurement of Efficiency in Multiunit Public Services

1987 ◽  
Vol 19 (11) ◽  
pp. 1511-1524 ◽  
Author(s):  
W D Macmillan
Keyword(s):  
Linear Programming ◽  
Data Envelopment Analysis ◽  
Fractional Programming ◽  
Policy Formulation ◽  
Operating Conditions ◽  
Data Envelopment ◽  
Linear Fractional Programming ◽  
New Concepts ◽  
Nonlinear Version ◽  
Efficiency And Effectiveness

After a review of the concepts of efficiency and effectiveness in multiunit nonmarket organisations, a recently developed technique known as Data Envelopment Analysis (DEA) is described and illustrated in this paper, and it is shown how this technique may be used in performance measurement. The linear fractional programming and equivalent linear programming formulations of the DEA problem are presented and an illustrative problem is solved. Some new concepts concerned with the application of DEA are introduced. A nonlinear version of the DEA problem is then described and illustrated. A comparison is made between the solutions of the linear and the nonlinear DEA problems. Last, brief consideration is given to the problems of uncontrollable operating conditions, policy formulation, and the acceptability of the technique to unit managers.

scholarly journals An Equivalent Linear Programming Form of General Linear Fractional Programming: A Duality Approach

Mathematics ◽  
2021 ◽  
Vol 9 (14) ◽  
pp. 1586
Author(s):  
Mehdi Toloo
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Fractional Programming ◽  
Linear Programming Problem ◽  
Functional Programming ◽  
General Linear ◽  
Data Envelopment ◽  
Linear Fractional Programming ◽  
Duality Approach ◽  
Fractional Functional

Linear fractional programming has been an important planning tool for the past four decades. The main contribution of this study is to show, under some assumptions, for a linear programming problem, that there are two different dual problems (one linear programming and one linear fractional functional programming) that are equivalent. In other words, we formulate a linear programming problem that is equivalent to the general linear fractional functional programming problem. These equivalent models have some interesting properties which help us to prove the related duality theorems in an easy manner. A traditional data envelopment analysis (DEA) model is taken, as an instance, to illustrate the applicability of the proposed approach.

scholarly journals Ranking Function Application for Optimal Solution of Fractional programming problem

2020 ◽  
Vol 25 (1) ◽  
Author(s):  
Rasha Jalal
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Fractional Programming ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Ranking Function ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Linear Programming Problems

The aim of this paper is to suggest a solution procedure to fractional programming problem based on new ranking function (RF) with triangular fuzzy number (TFN) based on alpha cuts sets of fuzzy numbers. In the present procedure the linear fractional programming (LFP) problems is converted into linear programming problems. We concentrate on linear programming problem problems in which the coefficients of objective function are fuzzy numbers, the right- hand side are fuzzy numbers too, then solving these linear programming problems by using a new ranking function. The obtained linear programming problem can be solved using win QSB program (simplex method) which yields an optimal solution of the linear fractional programming problem. Illustrated examples and comparisons with previous approaches are included to evince the feasibility of the proposed approach.

Strategic Choice and Data Envelopment Analysis: Comparing Computers across Many Attributes

1994 ◽  
Vol 9 (1) ◽  
pp. 61-69 ◽  
Author(s):  
John Doyle ◽  
Rodney Green
Keyword(s):  
Linear Programming ◽  
Regression Analysis ◽  
Data Envelopment Analysis ◽  
Multiple Regression Analysis ◽  
Multiple Regression ◽  
Strategic Choice ◽  
Programming Approach ◽  
Data Envelopment ◽  
Linear Programming Approach

A linear programming approach (Data Envelopment Analysis) is described to determine the relative merits of a set of multi-input, multi-output systems, in which more output for less input is considered good. The method is applied to benchmarks of microcomputers, and is contrasted with a multiple regression analysis of the same data. It is also argued that the essence of two opposing strategic outlooks can be captured within the method.

Decision to bid or not to bid: a data envelopment analysis approach

2010 ◽  
Vol 37 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Mohammad S. El-Mashaleh
Keyword(s):  
Linear Programming ◽  
Data Envelopment Analysis ◽  
Analysis Approach ◽  
Programming Approach ◽  
Data Envelopment ◽  
Parametric Linear Programming ◽  
Linear Programming Approach ◽  
Selection Decisions ◽  
Dea Approach ◽  
Benchmarking Performance

One of the most crucial decisions that is regularly exercised by construction contractors is to determine whether to bid or not to bid on a certain project. The purpose of this paper is to propose a data envelopment analysis (DEA) approach for the bid–no-bid decision. DEA is a robust non-parametric linear programming approach that is used for benchmarking performance and for making selection decisions. Based on a contractor's database of previous considerations of bidding opportunities, DEA creates a “favorable frontier” that consists of favorable bidding opportunities. New bidding opportunities are evaluated in reference to this “favorable frontier” and the bid–no-bid decision is consequently made. The proposed approach incorporates subjective management expertise and deals systematically with bidding situations to guide contractors in their bid–no-bid determination. A major strength of the proposed DEA approach is that it is deployable by organizations facing the bid–no-bid problem regardless of size, country of operation, number and type of factors considered in bidding, or even industry.

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