In this research, as the main contribution, a comprehensive study is carried out on the mathematical modeling and analysis of the inverse kinematics and dynamics of an over-constraint three translational degree-of-freedom parallel manipulator. Due to the inconsistency between the number of equations and unknowns, the problem of obtaining the constraint forces and torques of an over-constraint m...

We formulate an infinite-horizon optimal investment and consumption problem, in which individual forms a habit based on the exponentially weighted average of her past rate, she invests Black--Scholes market. The is constrained to consume at rate higher than certain proportion $\alpha$ habit. Our habit-formation model allows for both addictive ($\alpha=1$) nonaddictive ($0<\alpha<1$) habits. pol...

We study the aggregation of two risks when marginal distributions are known and dependence structure is unknown, under additional constraint that one risk smaller than or equal to other. Risk problems with order closely related recently introduced notion directional lower (DL) coupling. The largest aggregate in concave (thus, smallest convex order) attained by DL These results further generaliz...

We consider Coulomb gas models for which the empirical measure typically concentrates, when number of particles becomes large, on an equilibrium minimizing electrostatic energy. study behavior is conditioned a rare event. first show that special case quadratic confinement and linear constraint exactly solvable due to remarkable factorization, conditioning has then simple effect shifting cloud w...

Given a social network where the users are associated with non-uniform selection cost, problem of Budgeted Influence Maximization (BIM in short) asks for selecting subset nodes within an allocated budget initial activation, such that due to cascading effect, influence is maximized. In this paper, we study variation, marked as target users, each them assigned benefit and can be earned by influen...