Mathematical Programming
Applied Mathematical Programming.
AGEC 641 – Applied Mathematical Programming
GAMS with Excel
GAMS and Excel - Using GDX to Transfer Data
Sets
MITx: 15.053x Optimization Methods in Business Analytics
MITx: 15.053x Optimization Methods in Business Analytics
MITx: 15.053x Optimization Methods in Business Analytics OpenSolver validation Google Sheets
When the integrality constrains are relaxed, the feasible region gets larger. The optimal objective value won’t get worse. It can stay the same or get better. In this case, the optimal objective value increases or remains the same.
SOLUTION
y≤x1. If x1=0 , then y≤0. y≤x2. If x2=0, then y≤0. y≥x1+x2−1. If x1=x2=1, then y≥1. This enforces y=x1x2, x1,x2∈{0,1}
On choosing the parameter M
Any redundant constraint will be OK.
But, it is often best to choose M minimal:
l choose M so that constraint is redundant
l with any lower value of M, it is not redundant.
Binary Logic
| a valid transformation when the objective is to minimize z subject to z=max{2x−4, | x−y | } |
Min {z:z≥2x−4,z≥x−y,z≥y−x}.
Business 36106:
Business 36900: Linear Programming
Excel Solver
How to Install Excel Solver(Courtesy of Professor Che-Lin Su)