Publication: Measuring the balance space sensitivity in vector optimization
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2002
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Abstract
Recent literature has shown that the balance space approach may be a significant a1ternative to address several topics concerning vector optimization. Although this new look also leads lo the eflicient set and, consequently, is equivalent to the classical viewpoint, it yields new results and a1gorithms, as well as new economic interpretations, that may be very useful in theoretical framevorks and practical applications. The present paper focuses on the sensitivity of The balance set. We prove a general envelope theorem that yields the sensitivity with respect to any parameter considered in the problem. Fulthermore, we provide a dual problem that characlerizes the primal balance space and its sensitivity. Finally, we a1so give the implications of our results with respect to the sensitivity of the efficient set.
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Trzaskalik, Tadeusz; Michnik, Jerzy (Eds.). Multiple objective and goal programming : recent developments. Heildelberg: Physica-Verlag (Springer), 2002, p. 3-14