{"id":5,"date":"2023-11-03T20:39:00","date_gmt":"2023-11-03T20:39:00","guid":{"rendered":"https:\/\/dataenvelopment.com\/gams\/?page_id=5"},"modified":"2024-06-10T06:55:10","modified_gmt":"2024-06-10T06:55:10","slug":"chapters","status":"publish","type":"page","link":"https:\/\/dataenvelopment.com\/gams\/","title":{"rendered":"GAMS codes for various DEA models (Free to download)"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>The following GAMS codes have been extracted from the book &#8220;<strong>Data Envelopment Analysis with GAMS<\/strong>&#8221; authored by <strong>Ali Emrouznejad, Konstantinos Petridis, and Vincent Charles<\/strong>. If you utilize any of these codes, please provide the appropriate citation as follows:<br><br>Emrouznejad, A.&nbsp;K. Petridis, and V. Charles (2023).&nbsp;<em>Data Envelopment Analysis with GAMS: A Handbook on Productivity Analysis, and Performance Measurement<\/em>, Springer, ISBN: 978-3-031-30700-3,  <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/978-3-031-30701-0\" target=\"_blank\">https:\/\/doi.org\/10.1007\/978-3-031-30701-0<\/a>.<br><br>&#8211; Please note that full details of each code is given in the book (<a href=\"https:\/\/www.amazon.co.uk\/Data-Envelopment-Analysis-GAMS-International\/dp\/3031307003\" target=\"_blank\" rel=\"noreferrer noopener\">Link at Amazon<\/a>).<br>&#8211; Access the book via your institution (<a rel=\"noreferrer noopener\" href=\"https:\/\/wayf.springernature.com\/?redirect_uri=https%3A%2F%2Flink.springer.com%2Fbook%2F10.1007%2F978-3-031-30701-0\" target=\"_blank\">Click HERE<\/a>).<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul>\n<li><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><font color=\"blue\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 1. Introduction to GAMS<\/mark><\/font><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 1. (Fig. 1.1).<\/span>&nbsp;(<strong>Mathematical formulation of the transportation model and the corresponding GAMS formulation<\/strong>):  <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-1-fig-1-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter1(Fig1-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 1. (Fig. 1.5).<\/span>&nbsp;(<strong>Mathematical formulation of the transportation model and the corresponding GAMS formulation &#8211; importing data to GAMS<\/strong>):  <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-1-fig-1-05\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter1(Fig1-05).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 2. Introduction to Data Envelopment Analysis<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.4)<\/span>.&nbsp;(<strong>The mathematical formulation of the CRS DEA model and the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\"><\/a><a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-04\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-04).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.13).<\/span>&nbsp;(<strong>Mathematical formulation of the multiplier CRS DEA model and the corresponding GAMS formulation<\/strong>):  <a rel=\"noreferrer noopener\" href=\"http:\/\/(Click To view the code)\" target=\"_blank\"><\/a><a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-13\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-13).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.17)<\/span><em>.<\/em>&nbsp;(<strong>The mathematical formulation of the multiplier VRS DEA model and the corresponding GAMS formulation)<\/strong>: <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-17\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-17).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.21)<\/span>.&nbsp;(<strong>Mathematical formulation of the multiplier VRS DEA model with Assurance Region (AR) constraints and the corresponding GAMS formulatio<\/strong>n): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-21\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-21).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.24)<\/span>.&nbsp;(<strong>The mathematical formulation of the radial super-efficiency CRS-DEA model and the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-24\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-24).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 2. (Fig. 2.27)<\/span>.&nbsp;(<strong>The mathematical formulation of the super-efficiency CRS-DEA model and the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-2-fig-2-27\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter2(Fig2-27).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 3. Extensions of DEA Models<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.1)<\/span>.&nbsp;(<strong>The mathematical formulation of the CRS-DEA model with exogenously fixed inputs and the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.5)<\/span>.&nbsp;(<strong>The mathematical formulation of the VRS-DEA model with exogenously fixed inputs and the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-05\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-05).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.9)<\/span>.&nbsp;<strong>(The mathematical formulation of the DEA model with undesirable outputs and the corresponding<\/strong>): (GAMS formulation): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-12\/\" target=\"_blank\">C<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-09\/\" target=\"_blank\" rel=\"noreferrer noopener\">lick To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-09).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.12)<\/span>.&nbsp;(<strong>The mathematical formulation of the input-oriented DEA model under strong and weak disposability and congestion index calculation with corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-12\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-12).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.16)<\/span>.&nbsp;(<strong>The mathematical formulation of the input DEA congestion using slack variables with the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-16\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-16).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.17)<\/span>.&nbsp;(<strong>The mathematical formulation of categorical variables in DEA under the VRS technol-ogy with the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-17\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-17).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 3. (Fig. 3.19)<\/span>.&nbsp;(<strong>The mathematical formulation of stochastic efficiency models with the corresponding GAMS formulation<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/gams\/chapter-1-fig-1-01\/\" target=\"_blank\">C<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-3-fig-3-19\/\" target=\"_blank\" rel=\"noreferrer noopener\">lick To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter3(Fig3-19).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 4. Non-radial DEA Models<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.1)<\/span>.&nbsp;<strong>(The mathematical formulation of the non-radial VRS DEA model<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.6)<\/span>.&nbsp;(<strong>The mathematical formulation of the RAM model<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-06\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-06).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.9)<\/span>.&nbsp;(<strong>The mathematical formulation of the dual RAM model<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\"><\/a><a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-09\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-09).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.14)<\/span>.&nbsp;(<strong>The mathematical formulation of the RDM for negative data (inputs\/outputs)<\/strong>): (<a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-14\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-14).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.18)<\/span>.&nbsp;(<strong>The mathematical formulation of MSBM for negative data (inputs\/outputs)<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-18\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-18).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 4. (Fig. 4.21)<\/span>.&nbsp;(<strong>The mathematical formulation of the SORM model<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-4-fig-4-21\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter4(Fig4-21).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 5. Allocative, Cost, Technical, Revenue, and Profit Efficiency<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 5. (Fig. 5.1)<\/span>.&nbsp;(<strong>The mathematical formulation for Allocative and Cost Efficiency<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-5-fig-5-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter5(Fig5-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 5. (Fig. 5.6)<\/span>.&nbsp;(<strong>The mathematical formulation for Technical and Revenue Efficiency<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-5-fig-5-06\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter5(Fig5-06).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 5. (Fig. 5.7)<\/span>.&nbsp;(<strong>The mathematical formulation for profit efficiency<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-5-fig-5-07\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter5(Fig5-07).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 6. Special Cases in DEA<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 6. (Fig. 6.1)<\/span>.&nbsp;(<strong>The GAMS formulation for BoD<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-6-fig-6-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter6(Fig6-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 6. (Fig. 6.4)<\/span>.&nbsp;(<strong>The GAMS formulation for the Modified MOLP DEA model for output values<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-6-fig-6-04\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter6(Fig6-04).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Chapter 7. Productivity Change<\/mark><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 7. (Fig. 7.1)<\/span>.&nbsp;(<strong>The GAMS formulation for MPI<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-7-fig7-01\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter7(Fig7-01).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span style=\"text-decoration: underline;\">Chapter 7. (Fig. 7.8)<\/span>.&nbsp;(<strong>The GAMS formulation for MLPI<\/strong>): <a rel=\"noreferrer noopener\" href=\"http:\/\/chapter-5-2-allocative-and-cost-efficiency\" target=\"_blank\">(<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/gams\/chapter-1-fig-1-01\/\" target=\"_blank\">C<\/a><a href=\"https:\/\/dataenvelopment.com\/gams\/chapter-7-fig-7-08\/\" target=\"_blank\" rel=\"noreferrer noopener\">lick To view the code<\/a>) (<a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/GAMS-DEA\/Chapter7(Fig7-08).gms\" target=\"_blank\">Download GMAS<\/a>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<pre class=\"wp-block-preformatted\"><figure class=\"wp-block-table\"><table><tbody><tr><td><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/dea2024\/\" target=\"_blank\"><img decoding=\"async\" loading=\"lazy\" width=\"189\" height=\"189\" class=\"wp-image-206\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide2.png\" alt=\"\" srcset=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide2.png 189w, https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide2-150x150.png 150w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/course\/\" target=\"_blank\"><img decoding=\"async\" loading=\"lazy\" width=\"189\" height=\"189\" class=\"wp-image-227\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/DEA-Course.png\" alt=\"\" srcset=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/DEA-Course.png 189w, https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/DEA-Course-150x150.png 150w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/workshop\/\" data-type=\"URL\" data-id=\"https:\/\/dataenvelopment.com\/dea2024\/\" target=\"_blank\"><img decoding=\"async\" loading=\"lazy\" width=\"189\" height=\"189\" class=\"wp-image-210\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide1-1.png\" alt=\"\" srcset=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide1-1.png 189w, https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide1-1-150x150.png 150w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/www.linkedin.com\/in\/dataenvelopment\/\" target=\"_blank\"><img decoding=\"async\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/DEA-LinkedIn-1.png\" alt=\"\"><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/www.linkedin.com\/company\/cbap\/\" target=\"_blank\"><img decoding=\"async\" loading=\"lazy\" width=\"189\" height=\"189\" class=\"wp-image-212\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide3-1.png\" alt=\"\" srcset=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide3-1.png 189w, https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/Slide3-1-150x150.png 150w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/emrouznejad.com\/ali\/surveys\" target=\"_blank\"><img decoding=\"async\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/DEA-Surveys.png\" alt=\"\"><\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/\" target=\"_blank\"><img decoding=\"async\" style=\"width: 150px;\" src=\"https:\/\/dataenvelopment.com\/gams\/wp-content\/uploads\/sites\/8\/2024\/03\/AE000.gif\" alt=\"\"><\/a><\/td><\/tr>\n<\/tbody><\/table><\/figure><a rel=\"noreferrer noopener\" href=\"https:\/\/dataenvelopment.com\/course\/\" target=\"_blank\"><img decoding=\"async\" class=\"wp-image-171\" style=\"width: 1050px;\" src=\"https:\/\/dataenvelopment.com\/dea2024\/wp-content\/uploads\/sites\/7\/2024\/05\/DEAcourse.png\" alt=\"\"><\/a>\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>The following GAMS codes have been extracted from the book &#8220;Data Envelopment Analysis with GAMS&#8221; authored by Ali Emrouznejad, Konstantinos Petridis, and Vincent Charles. If you utilize any of these codes, please provide the appropriate citation as follows: Emrouznejad, A.&nbsp;K. Petridis, and V. Charles (2023).&nbsp;Data Envelopment Analysis with GAMS: A Handbook on Productivity Analysis, and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/pages\/5"}],"collection":[{"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":46,"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":231,"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/pages\/5\/revisions\/231"}],"wp:attachment":[{"href":"https:\/\/dataenvelopment.com\/gams\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}