By Rafael Caballero, Francisco Ruiz, Ralph E. Steuer (auth.), Prof. Rafael Caballero, Prof. Francisco Ruiz, Prof. Ralph Steuer (eds.)
In the box of a number of standards determination making, this quantity covers the most recent advances in a number of target and target programming as provided on the 2d overseas convention on Multi-Objective Programming and objective Programming, Torremolinos, Spain, might sixteen - 18, 1996. The e-book is an undispensable resource of the newest study effects, awarded via the prime specialists of the sector.
Read or Download Advances in Multiple Objective and Goal Programming: Proceedings of the Second International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16–18, 1996 PDF
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Additional info for Advances in Multiple Objective and Goal Programming: Proceedings of the Second International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16–18, 1996
Their scope and robustness as well as extension to other GP variants is discussed. A hybrid algorithm which semi-automates the procedure of choosing a method is detailed. Keywords: Goal Programming, :,,[odeJling 1 Introduction Goal Programming is a powerful multi-criteria decision making technique. Instead of minimising a single objective as in linear programming, the sum of unwanted deviations from target values of a number of objectives are minimised. This minimisation may be as a vector of deviations, ordered in terms of the importance of their respective objectives.
X, n,p 2: 0 Where li(x) is a linear function(objective) of x, and bi is the target value for that objective. ni and Pi represent the negative and positive deviations from this target value. Ui and Vi are the respective weights attached these deviations in the achievement function z. These weights take a strictly positive value if the associated deviation is unwanted and a zero value otherwise. C. is an optional set of hard constraints as found in linear programming. Incommensurability in a WGP, or within a priority level of an LGP, occurs when deviational variables measured in different units are summed directly.
Therefore a suggested automatic normalisation algorithm is given as: 1. :'tleasure incommensurability index 0 of model. 2. If 0:'50 1 then Goto (5). 3. If 0 1 :'5 0 :'5 O 2 then apply Euclidean normalisation. Goto (5). 4. If 0;::: 02 then apply Summation normalisation. Goto (5) 5. Solve model and output results. The only parameters needed to be specified by the modeller are the threshold values 0 1 and O 2 . These values are dependent on the degree of incommensurability regarded as serious enough by the modeller to require the normalisation type beyond the threshold value.
Advances in Multiple Objective and Goal Programming: Proceedings of the Second International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16–18, 1996 by Rafael Caballero, Francisco Ruiz, Ralph E. Steuer (auth.), Prof. Rafael Caballero, Prof. Francisco Ruiz, Prof. Ralph Steuer (eds.)