Lernmaterialien für Modeling and Optimization an der TU München

SheetConnection excelFile ("Excel.xlsx");

parameterJ to SheetWrite(excelFile, "Blatt1!H3");

SheetConnection ExcelFile("Excel.xlsx");

parameterJ from SheetRead(ExcelFile, "Blatt1!B3");

execute{

var maxDemand = 0;

for (var i in I) {

  if (demand[i] > maxDemand) {

     maxDemand = demand [i];

     }

  }

writeln(maxDemand);

}

Math.min(), Math.max()

Math.round()

Math.abs()

Math.sqrt()

var d = new Date();

d.getTime();

The shadow price of the i'th resource in the primal equals the value of the i'th decision variable in the optimal solution of the dual.

Interpretation:

In the PPP, the shadow price of the i'th resource represents the increase/decrease of total income in case we increase/decrease resoure i by one unit. Oportunity Costs

Range, in which a change of income coefficient has no influence on objective.

Calculation: Income coef. - reduced costs

Mathematical method to achieve the best outcome in a mathematical model for some list of requirements as linear relationship

All non-zero variables

Infeasible or unbounded Dual

Primal problem in unbounded -> dual problem is infeasible

• shadow prices
• decision variables
• marginal income value of each product