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In this paper we first introduce a class of set-valued quasiconvex maps with respect to cones, called cone quasiconvex maps, and obtain a characterization for cone quasiconvexity at a point in terms of star shapedness. We then introduce a general class of set-valued maps, called weak cone quasiconvex maps and discuss the relations of both these classes of maps with directional derivatives studied...
This paper is concerned with M/M/R machine interference model consisting of M operating and S spare units. The units are assumed to fail in two modes. The life times and repair times of units are assumed to follow a negative exponential distribution. The both failure modes have equal probability of repairing. The both types of failed units are served by a pool of R repairmen according to FIFO discipline...
s The concept of harmonic convexity (concavity) is used to derive duality in non-linear programming problems. Moreover, the concept is extended to duality in fractional programming, symmetric and self-dual programs under weaker convexity conditions.
In this paper, we study approximate saddle points in the context of vector-valued games with multiple objectives. Some of the decision-making sets introduced earlier by White has been generalized to take care of approximate saddle point problems in the context of vector-valued games. Some examples are also given. Finally, some questions regarding stability properties of programs in the present context...
A number of identities and inequalities are derived for coherent life functions and continuum structure functions of the Barlow-Wu type based on the coefficients of the simple form representation of the underlying binary structure function. These naturally lead to identities and inequalities for the mean time to failure and stochastic performance of these systems.
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