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It is based on thermodynamic analysis, mathematical programming, and rigorous simulation.
The HEN problem has been addressed separately by Pinch technology, mathematical programming, and stochastic optimisation.
Mathematical programming and the item response theory (IRT) are often used in automating this task.
The rail transportation industry has many problems that can be modeled by mathematical programming and solved using soft computing techniques.
Two different approaches are used for finding the optimum solution the nonlinear mathematical programming, and the genetic algorithm.
In the past, mathematical programming and a general heuristics algorithm were used to solve globalized supply chain network design problems.
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We note that the problem (HEVP) includes some problems, for example, mathematical program and hierarchical minimization problems as special cases.
The presentation of mathematical programs and heuristics is commonly used to solve scheduling problems (Stafford et al. 2005).
On the other hand, a number of mathematical programs and iterative algorithms have been developed to resolve complex real world problems.
The optimization problem is formulated as a nonlinear and non-convex mathematical program and solved by a specialized steepest descent direction algorithm.
Here, ({c}_{mathcal {M}_{t}}) (binary integer) and ({p}_{mathcal {M}_{t}}) (continuous) are variables in this mathematical program, and we have to deal with their product ({c}_{mathcal {M}_{t}}{p}_{mathcal {M}_{t}}).
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