By William W. Cooper, Lawrence M. Seiford, Visit Amazon's Joe Zhu Page, search results, Learn about Author Central, Joe Zhu,
This guide covers DEA themes which are commonly used and solidly established. the aim of the guide is to (1) describe and elucidate the country of the sphere and (2), the place acceptable, expand the frontier of DEA study. It defines the state of the art of DEA method and its makes use of. This guide is meant to symbolize a milestone within the development of DEA. Written by way of specialists, who're quite often significant members to the subjects to be lined, it contains a accomplished evaluation and dialogue of easy DEA types, which, within the current factor extensions to the fundamental DEA tools, and a suite of DEA functions within the components of banking, engineering, healthiness care, and companies. The handbook's chapters are equipped into different types: (i) uncomplicated DEA versions, strategies, and their extensions, and (ii) DEA purposes. First variation members have lower back to replace their work.
The moment version comprises up to date types of chosen first variation chapters. New chapters were extra on:
· diverse ways without having for a priori offerings of weights (called “multipliers) that replicate significant trade-offs.
· development of static and dynamic DEA technologies.
· Slacks-based version and its extensions
· DEA versions for DMUs that experience inner buildings community DEA that may be used for measuring provide chain operations.
· collection of DEA purposes within the provider region with a spotlight on construction a conceptual framework, study layout and analyzing results.
Read Online or Download Handbook on Data Envelopment Analysis PDF
Similar linear programming books
This e-book is devoted to the spectral idea of linear operators on Banach areas and of components in Banach algebras. It provides a survey of effects referring to numerous sorts of spectra, either one of unmarried and n-tuples of parts. ordinary examples are the one-sided spectra, the approximate element, crucial, neighborhood and Taylor spectrum, and their versions.
The target of this monograph is to deal with the problem of the worldwide controllability of partial differential equations within the context of multiplicative (or bilinear) controls, which input the version equations as coefficients. The mathematical types we study contain the linear and nonlinear parabolic and hyperbolic PDE's, the Schrödinger equation, and matched hybrid nonlinear dispensed parameter structures modeling the swimming phenomenon.
Protecting intimately either theoretical and useful views, this booklet is a self-contained and systematic depiction of present fuzzy stochastic optimization that deploys the bushy random variable as a middle mathematical instrument to version the built-in fuzzy random uncertainty. It proceeds in an orderly model from the considered necessary theoretical elements of the bushy random variable to fuzzy stochastic optimization types and their real-life case reports.
Influenced by means of sensible difficulties in engineering and physics, drawing on quite a lot of utilized mathematical disciplines, this booklet is the 1st to supply, inside of a unified framework, a self-contained accomplished mathematical concept of duality for common non-convex, non-smooth structures, with emphasis on tools and functions in engineering mechanics.
- Numerical optimization theoretical and practical aspects
- Systèmes multi-échelles : Modélisation et simulation (Mathématiques et Applications)
- Topics in calculus of variations: lectures given at the 2nd 1987 session of the Centro internazionale matematico estivo
- Inequalities: selecta of Elliott H. Lieb
Additional resources for Handbook on Data Envelopment Analysis
2007) for a formal development of this transformation and modification of the expression for e > 0. 2). 6). 9) is calculated in a twostage process. First, we calculate ’Ã by ignoring the slacks. Then we optimize the slacks by fixing ’Ã in the following linear programming problem, max m X i¼1 sÀ i þ s X sþ r r¼1 subject to n X xij lj þ sÀ i ¼ xio j¼1 n X Ã yrj lj À sþ r ¼ ’ yro i ¼ 1; 2; . . ; m; r ¼ 1; 2; . . ; s; j¼1 lj ! 0 j ¼ 1; 2; . . 10) We then modify the previous input-oriented definition of DEA efficiency to the following output-oriented version.
Sþ r r2OD i ¼ 1; 2; . . ; m; j¼1 n X j¼1 n X yrj lj À sþ r ¼ ’yro r 2 OD ; yrj lj À sþ r ¼ yro r 2 ON ; j¼1 lj ! 0 j ¼ 1; 2; . . 12) We should point out that there can be subtle issues associated with the concept of controllable outputs that may be obscured by the symmetry of the input/output model formulations. Specifically, switching from an input to an output orientation is not always as straightforward as it may appear. Interpretational difficulties for outputs not directly controllable may be involved as in the case of outputs influenced through associated input factors.
1 of this chapter. These definitions then provided the guides that were used for their subsequent research. The name of Pareto is assigned to the first of these two definitions for the following reasons. , the part of economics concerned with evaluating public policies, by noting that a social policy could be justified if it made some persons better off without making others worse off. In this way, the need for making comparisons between the value of the gains to some and the losses to others could be avoided.
Handbook on Data Envelopment Analysis by William W. Cooper, Lawrence M. Seiford, Visit Amazon's Joe Zhu Page, search results, Learn about Author Central, Joe Zhu,