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V. S. Rublev, N. B. Chaplygina
The choice of optimisation criterion in the uniform assignment problem
In many optimisation problems, an optimisation criterion is introduced whose part may be played by a numerical functional which has to be maximised or minimised. The situation is rather common where several functionals may be put for the part of criterion. As a rule, the choice of criterion is a result of certain intuitive reasons and influences the way of solving the problem. Considering a problem with different criteria, one can get different solutions, so a need for additional studies arises in order to make the best choice among optimisation criteria.
In the uniform assignment problem, any symmetric functional which has the properties of a norm can be taken as the uniformity criterion. But the solutions which minimise a particular criterion, namely, the square deviation of the number of jobs of a worker from the average, minimise all other criteria as well, and it is reasonable to choose precisely this functional as the optimisation criterion.
Discrete Mathematics and Applications, Walter de Gruyter
Print ISSN: 0924-9266
Volume: 15, 11/2005
Seiten: 591 - 598
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