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A snapshot of the summary  Operation Research Techniques 1

1 Mathematically modelling

Give the definition of solution of an optimization problemA solution to an optimization problem is a collection of values of the decision variables.

Give the definition of feasible region of an optimization problemThe feasible region of an optimization problem is the set of feasible solutions to the problem.

Give the definition of unbounded problem of an
optimization problemAnoptimization problem isunbouded if for any feasible solution x, there exists another feasible solution y whose value is better than the value of x. It has nofinite optimal solution. 
Give the definition of infeasible problem of an optimization problemA mathematical program is infeasible if there are no feasible solutions. No solution that satisfies all constraints and bounds.

What is the proportionality assumption of linear programming?The
assumption that when it takes 3 eggs to make 1 chocolate cake. It takes 9 eggs to make 3 chocolate cakes.
Thisassumption has to hold to be able to applylinear programming . 
What is meant with the divisibility assumption?A variable can be infinitely divisible and still have meaning.

When are problems called discrete or combinatorial optimization problems?When all the variables are binary.

What is meant with a static and a dynamic model?In a static model the decision variables do not involve a sequence of decisions over multiple periods. In a dynamic model the decision variables do involve sequences of decisions over multiple periods.

What is meant with deterministic and stochastic models?In a deterministic problem the value of the objective function and whether or not the constraints are satisfied is known with certainty. Otherwise stochastic.

What is the isocost line?The line on which you can find an optimal solution considering a minimization problem.
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