• Stefan M. Stefanov
Part of the Applied Optimization book series (APOP, volume 53)


If it is allowed for problem (C): \(i)\;{d'_j}({x_j}) \equiv 0\;or\;ii)\;{d'_j}({x_j}) \ne 0\) but \({d'_j}\left( {{a_j}} \right) = 0\,and\,/\,or\,{d'_j}\left( {{b_j}} \right) = 0\) for some j ∈ J in (5.2), then for such j’s we cannot construct the expressions \( - \frac{{{{c'}_j}({a_j})}}{{{{d'}_j}({a_j})}}\;and\;/\;or\; - \frac{{{{c'}_j}({b_j})}}{{{{d'}_j}({b_j})}},\), by means of which we define the sets \(J_a^\lambda (5.4),J_b^\lambda (5.5),J_c^\lambda (5.6)\). In case i) we have \({d_j}\left( {{x_j}} \right) = :{d_j} = const\) and x j ’s are not involved in (5.2) for such j’s.


Computational Complexity Feasible Region Theoretical Aspect Extended Version Nondecreasing Function 


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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Stefan M. Stefanov
    • 1
  1. 1.Department of MathematicsSouth West UniversityBlagoevgradBulgaria

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