preemptively scheduling a set of independent jobs with release time on one processor is a historical problem. in this paper, the same problem has been considered in which objective is to minimize the mean flow time. to prepare a perfect branch-and-bound, some optimality conditions have been represented and they have been compared with the optimality conditions which have been proposed before. o...

"Fe consider multi-criteria sequential decision making problems ,,,,here the vector-valued evaluations arc cOluparcd by it given, fixed total order­ ing. Conditions for the optimality of stationary policies and the Bell­ lUan optimality eqnation arc given for a special, hut importrmt cla...,s of problems when the evaluation of policies can be computed for the cri­ teria independently of each ot...

In this paper, we study optimal experimental design problems with a broad class of smooth convex optimality criteria, including the classical A-, Dand pth mean criterion. In particular, we propose an interior point (IP) method for them and establish its global convergence. Further, by exploiting the structure of the Hessian matrix of the optimality criteria, we derive an explicit formula for co...

This paper addresses the optimal design of residential ventilation systems in an apartment floor plan in Korea. The term “optimal design” refers to the selection of a ventilation method (mechanical, hybrid), type of heat recovery (total, sensible only), outdoor airflow rate, and the optimal sizing and location of supply diffusers/exhaust registers. Decision-making criteria include initial and o...

This paper is concerned with the axiomatic foundation and explicit construction of a general class of optimality criteria that can be used for investment problems with multiple time horizons, or when the time horizon is not known in advance. Both the investment criterion and the optimal strategy are characterized by the Hamilton-Jacobi-Bellman equation on a semi-infinite time interval. In the c...

Metamodeling approach has been widely used due to the high computational cost of using high-fidelity simulations in engineering design. The accuracy of metamodels is directly related to the experimental designs used. Optimal experimental designs have been shown to have good “space filling” and projective properties. However, the high cost in constructing them limits their use. In this paper, a ...

Reinforcement Learning (Sutton and Barto 1998) is a theoretical framework for optimizing the behavior of artificial agents. The notion that behavior in the natural world is in some sense optimal is explored by areas such as biomechanics and physical anthropology. These fields propose a variety of candidate optimality criteria (?, e.g.,)]eng,cost as possible formulations of the principles underl...

The sequential detection of an abrupt and persistent change in the dynamics of an arbitrary continuous-path stochastic process is considered; the optimality of the cumulative sums (cusum) test is established with respect to a modified Lorden’s criterion. As a corollary, sufficient conditions are obtained for the optimality of the cusum test when the observed process is described by a fractional...