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55 papers · 1 filter
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
This paper addresses the study and applications of polyhedral duality of locally convex topological vector (LCTV) spaces. We first revisit the classical Rockafellar's proper separa…
Optimization of Fully Controlled Sweeping Processes
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-cons…
Convex Analysis of Minimal Time and Signed Minimal Time Functions
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we first consider the class of minimal time functions in the general setting of locally convex topological vector (LCTV) spaces. The results obtained in this framewor…
Extremal Systems of Convex Sets with Applications to Convex Calculus in Vector Spaces
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam
In this paper we introduce and study the concept of set extremality for systems of convex sets in vector spaces without topological structures. Characterizations of the extremal sy…
Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls…
A Stochastic Programming Approach for Chemotherapy Appointment Scheduling
Nur Banu Demir, Serhat Gul, Melih Celik
Chemotherapy appointment scheduling is a challenging problem due to the uncertainty in pre-medication and infusion durations. In this paper, we formulate a two-stage stochastic mix…