We study monotonicity results for optimal policies of various queueing and resource sharing models. The standard approach is to prove, for each speciic model, certain properties of the dynamic programming value function. By concentrating on the events instead of the entire value function we come to a uniied treatment of monotonicity results for symmetric two-dimensional models. Several models f...

In this paper we study monotonicity results for optimal policies of various queueing and resource sharing models. The standard approach is to propagate, for each speciic model, certain properties of the dynamic programming value function. By concentrating on the events and the properties instead of on the value function we propose a uniied treatment of monotonicity results for Markovian models....

Motivated by applications in mathematical finance [3] and stochastic analysis [16], we continue our study of second order backward stochastic equations (2BSDE). In this paper, we derive the dynamic programming equation for a certain class of problems which we call as the second order stochastic target problems. In contrast with previous formulations of similar problems, we restrict control proc...

We introduce a rapid grid search method in solving the dynamic programming problems in economics. Compared to mainstream grid search methods, by using local information of the Bellman equation, this method can significantly increase the efficiency in solving dynamic programming problems by reducing the grid points searched in the control space.

This paper presents the numerical results of electro-osmotic flows in micro- and nanofluidics using a lattice Poisson-Boltzmann method (LPBM) which combines a potential evolution method on discrete lattices to solve the nonlinear Poisson equation (lattice Poisson method) with a density evolution method on discrete lattices to solve the Boltzmann-BGK equation (lattice Boltzmann method). In an el...

In this article, the time-dependent stress redistribution analysis of magneto-electro-elastic (MEE) thick-walled sphere subjected to mechanical, electrical, magnetic and uniform temperature gradient as well as moisture concentration gradient is presented. Combining constitutive equations of MEE with stress-strain relations as well as strain-displacement relations results in obtaining a differen...

fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). it is well known that the structure and prope...

over the admissible controls U . Both g and κ · u (u ∈ U) may take positive and negative values. This paper studies the corresponding dynamic programming equation (DPE), a second-order degenerate elliptic partial differential equation of HJB-type with a state constraint boundary condition. Under the controllability condition GU = R and the finiteness of H(q) = supu∈U1{−Gu · q− κ · u}, q ∈ R , w...