Abstract
Decision variables are the independent variables; the decision maker has to determine their optimum values and based on those, other variables (dependent) can be determined. For instance, in an optimum generation scheduling problem, the active power generations of power plants may be the decision variables. The dependent variables can be the total fuel consumption, system losses, etc. which can be calculated upon determining the decision variables. In a capacitor allocation problem, the locations and the sizing of the capacitor banks are the decision variables, whereas the dependent variables may be bus voltages, system losses, etc.
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- 1.
The optimum seeking methods are generally known as programming techniques or operations research; a branch of mathematics. For more details, the interested reader may consult the list of the references at the end of the chapter.
- 2.
It is important to note that the problem to be used at each stage is irrelevant to our discussion here. In fact, it may be LP, NLP or any other problem.
- 3.
This type of constraint is called minimum down time of a unit.
- 4.
The combination 0000 is considered infeasible.
- 5.
The so called, curse of dimensionality, in DP problems.
- 6.
For details, see the list of the references at the end of the chapter.
- 7.
\( s_{i}^{k + 1} = s_{i}^{k} + v_{i}^{k + 1} \).
- 8.
\( \overline{w} \), \( \underline{w} \) and \( \overline{iter} \) are the maximum w, the minimum w and the maximum number of iterations, respectively.
- 9.
Those with undesirable (higher for a minimization problem) objective functions.
References
Hillier FS, Lieberman GJ (2010) Introduction to operations research, 9th edn. McGraw Hill, New York
Rao SS (2009) Engineering optimization, 4th edn. Wiley, New Jersey
Chong EKP, Zak SH (2001) An introduction to optimization, 2nd edn. Wiley, New York
Branke J, Deb K, Miettinen K, Slowinski R (eds) (2008) Multiobjective optimization. Springer, Berlin
Bartholomew-Biggs M (2008) Nonlinear optimization with engineering applications. Springer, Boston
Burke EK, Kendall G (2005) Search methodologies: introductory tutorials in optimization and decision support techniques. Springer, New York
Extensive books are published on optimizations techniques. Some typical ones are introduced here. The reader may consult specific books on detailed applications and algorithms of each subject.
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© 2011 Springer-Verlag Berlin Heidelberg
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Seifi, H., Sepasian, M.S. (2011). Optimization Techniques. In: Electric Power System Planning. Power Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17989-1_2
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DOI: https://doi.org/10.1007/978-3-642-17989-1_2
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