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Mixed Convexity and Optimization Results for Functions with Integer and Real Variables with Applications to Queueing Systems
(2012)
In this dissertation, a new method for obtaining convexity and optimization results for functions with integer and real (i.e. mixed) variables is introduced and this new method is applied to obtain mixed convexity and ...
SEPARATION AND FENCHEL-TYPE DUALITY THEOREMS FOR FUNCTIONS WITH INTEGER AND REAL VARIABLES
(2011)
The concepts of convex and concave functions are of critical importance in optimization theory. These concepts arise for both functions of real (that is, continuous) variables and functions of integer variables (that is, ...
Mixed Convexity and Optimization Results for Functions with Integer and Real Variables with Applications to Queueing Systems
(2012)
In this dissertation, a new method for obtaining convexity and optimization results for functions with integer and real (i.e. mixed) variables is introduced and this new method is applied to obtain mixed convexity and ...