Capacity & Technical Efficiency Toolbox
The Capacity & Technical Efficiency Toolbox contains selected literature, examples, and programs about measuring efficiency and capacity in fisheries. These examples use Data Envelopment Analysis (DEA) and are written in GAMS -- the General Algabraic Modeling System. More information about GAMS can be obtained from GAMS Development Corporation.
The Toolbox has recently been updated to reflect changes that have occurred in the GAMS programming language. Specifically, GAMS Development has released the GUSS utility which can be used to solve multiple instances of the same linear programming problem, which is what a DEA program does. Simply put, a DEA program solves the same linear programming problem multiple times by changing the data considered during each model run. This page has now been updated with a separate section showing examples of DEA programs using the GUSS solver. These examples are equivalent models to those found in the “Oriented Models” section.
The Capacity & Technical Efficiency Toolbox was developed by John Walden, NOAA Fisheries economist, at the Northeast Fisheries Science Center in Woods Hole, MA.
Technical Efficiency
These programs measure technical efficiency from either an input or output orientation. Programs are based on algorithms found in Production Frontiers by Färe, Grosskopf, and Lovell (1994). All programs are written in GAMS and are available in PDF format.
GUSS with GAMS
Input-Oriented Technical Efficiency | Output-Oriented Technical Efficiency |
Constant Returns to Scale, Strong Disposability | Constant Returns to Scale, Strong Disposability |
Variable Returns to Scale, Strong Disposability | |
Nonincreasing Returns to Scale, Strong Disposability | |
Variable Returns to Scale, Weak Disposability |
Older Programs
Oriented Models
Input-Oriented Technical Efficiency | Output-Oriented Technical Efficiency |
Constant Returns to Scale, Strong Disposability | |
Variable Returns to Scale, Strong Disposability | |
Nonincreasing Returns to Scale, Strong Disposability | |
Variable Returns to Scale, Global Weak Disposability |
Non-Oriented Models
Directional Distance Function | Graph Efficiency |
Constant Returns to Scale | Constant Returns to Scale |
Variable Returns to Scale |
Capacity and Capacity Utilization
Listed below are a series of programs for estimating capacity based on the Johansen (1968) definition of plant capacity. In these models, fixed factors do not constrain production. There are several different approaches used including: the standard output oriented model, the graph efficiency approach, and the directional distance function approach. The directional distance function approach includes example programs where there are undesirable outputs.
Standard Output-Oriented Model | Graph Efficiency with both Desirable and Undesirable Outputs | Directional Distance Function with Desirable and Undesirable Outputs |
Constant Returns to Scale, Strong Disposability | Constant Returns to Scale, Weak Disposability | Constant Returns to Scale, Weak Disposability |
Variable Returns to Scale, Strong Disposability | Variable Returns to Scale, Weak Disposability | Variable Returns to Scale, Weak Disposability |
Variable Returns to Scale, Global Weak Disposability |