This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim. 2(3): 667-678, 2006; Asia-Pac. J. Oper. Res. 24(3): 353-371, 2007), and the study shows that we can obtain some previous results for variational ...

We revisit the notion of deep equality among objects in an ob ject database from a formal point of view We present three natural formalizations of deep equality one based on the in nite value trees associated with objects one based on the greatest xpoint of an oper ator on equivalence relations among objects and one based on indis tinguishability of objects using observations of atomic values r...

The optimal betting strategy for a gambler betting on a discrete number of outcomes was determined by Kelly (1956, A new interpretation of information rate. J. Oper. Res. Soc., 57, 975–985). Here, the corresponding problem is examined for spread betting, which may be considered to have a continuous distribution of possible outcomes. Since the formulae for individual events are complicated, the ...

This paper proposes an Optimal Power Flow for defining the minimum load to be shed maintain steady-state frequency between allowable limits in islanded microgrids. The droop coefficients and setpoints (no-load voltage of each Distributed Generator) are optimized considering microgrid frequency, nodal voltages, power generation (apparent reactive powers). approach is applied a 33 nodes, 24 hours...