Lecture 10 Comparative analysis

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Lecture 10 Comparative analysis Chengcheng Fei 2018 Fall Based on material written by Gillig and McCarl; Improved upon by many previous lab instructors; Special thanks to Zidong Mark Wang.

Introduction Often we would like to exam the results under different scenarios. Two ways to conduct comparative analysis Use multiple GAMS submissions or multiple solves generating report writing output and then manually comparing the analysis results Use the GAMS LOOP procedure and set up a comparative scenario analysis system that creates cross scenario comparison tables

The example – Lexicography Example

GAMS code Lexico_example_multisub.gms

Lexico_example_multisub.gms

1. Multiple GAMS Submissions Lexico_example_multisub.gms

Lexico_example_multisub.gms

Steps of Multiple GAMS Submission …data section… …model structure… GOAL2("PROFIT1")=yes; Set up sets and parameters WEIGHTS(GOAL2)=1 SOLVE RESALLOC USING LP MINIMIZING GOALOBJ; solve the model WEIGHTS(GOAL2)=0.00001; Turn off the sets and reset parameters to original value GOAL2("PROFIT1")=NO; GOAL2(“lathetime")=yes; Change sets and parameters GOAL2(“lathetime")=NO;

Scenario Comparative Report

2. Loops LOOP procedure causes GAMS to repeat execution of statement enclosed in the parentheses for each value of the defining set. Within the Loop the index is treated as If it referenced only the single set element that the Loop index takes on during each pass. For example Lexico_Example.gms

Loop Steps Step1: Define scenario set Step2:Define parameters that will be altered by scenario Step3:Define parameters used in the loop (i.e. output) Lexico_Example.gms

Set weight of looped scenario to 1 Reset weight of looped scenario to original value, after the solve statement Lexico_Example.gms

Alternative Way Step1: Define scenario set Step2:Define parameters that will be altered by scenario Step3:Define parameters used in the loop (i.e. output) Lexico_Example_alter.gms

Loop: Structural Modification Many comparative studies involve model structure modification. One can introduce context sensitive structure by making constraints or terms conditionals.

Loop: Structural Modification Lec10_structural_modification.gms

Loop: Structural Modification Base Scenario Scenario1 Comparative Result

What if Lec10_structural_modification2.gms

Base: Comparative Result Scenario 1: