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The optimal solution of the inner optimization problem is also affected by the decision variables of the outer optimization problem.
The decision model allows for aligning context-specific process variants against the master process as well as for replacing the master process by context-specific variants, as expressed by the decision variables (x_{c}^{text{std}}).
We only considered staffing costs as a cost factor because other costs, such as facility overhead, can be regarded as fixed and unaffected by the decision variables x and staffing costs are the major cost drivers for SUDTPs.
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In a second part, the initial optimization problem is solved by PSO, the decision variables being the feedback gains.
RA strategy gives a robust decision making tool for handling the severe uncertainty of wind power, whereas the OS strategy makes benefit of possible uncertainties by adjusting the decision variables in a right way.
This paper generalizes and extends the basic block planning model by redefining the decision variables similar to Denizel and Süral (2006) and thus eliminating inventory variables and balance equations.
The most distinct property of this problem formulation is that the feasible path set of its lower-level problem is determined by the decision variable of upper-level problem, while in conventional transportation network design problems the feasible path set for lower-level traffic assignment problem is fixed to be all the viable paths between each specific origin-destination pair.
4. NPI implementation is modeled by the decision variable u(t), where 0 ≤ u(t) ≤ b < β.
Since the linear relaxation of such a formulation has a value of zero (due to the fact that the penalty variables are avoidable by fractional values on the decision variables), the solution process is effectively rendered to an enumeration of the integer solutions, which is inappropriate for realistically sized instances.
The search is then guided by the current best lower and upper bound; the current best lower bound is obtained from solving the linear relaxation of a set covering type formulation on the current column pool; the current best upper bound is computed by imposing integrality on the decision variables.
Step 2.. Step 3. Obtain the decision variables by (24).
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