in this research, an innovative numerical simulating approach for time domain analysis of multi degrees of freedom structures with uncertainty in dynamic properties is presented. a full scale finite element model of multi-story and multi bays of three sample structures has been constructed. the reduced order model of structure with holding the dominant and effective gramians in the balanced sta...

This paper studies convergence properties of optimal values and actions for discounted and averagecost Markov Decision Processes (MDPs) with weakly continuous transition probabilities and applies these properties to the stochastic periodic-review inventory control problem with backorders, positive setup costs, and convex holding/backordering costs. The following results are established for MDPs...

The paper develops a simple economic model of a biological invasion. The natural growth of the invasion is non-convex and the immediate cost of controlling the invasion depends on the level of current control as well as the current size of the invasion. Greater control raises control costs today while reducing damages now and in the future. In addition, by decreasing the size of the invasion, i...

This paper studies the optimal production run length for the economic manufacturing quantity model with maintenance, scrap and rework actions under the imperfect production system where the process state is classified as either in-control or out-of-control. Suppose that a production process starts to produce in an in-control state, however, after a period of time, the process may evolve from th...

W hen we walk to a shop in a town, we want to get there in the shortest time. However, finding the shortest route in a big city is quite tricky, because there are countless possible routes and the time taken for each segment of a route is uncertain. This is a typical problem of discrete optimal control, which aims to find the optimal sequence of actions to minimize the total cost from any given...

In order to simplify computational methods based on dynamic programming, a relaxed procedure based on upper and lower bounds of the optimal cost was recently introduced. The convergence properties of this procedure are analyzed in this paper. In particular, it is shown that the computational effort in finding an approximately optimal control law by relaxed value iteration is related to the poly...

The linear-quadratic-Gaussian control paradigm is well-known in literature. The strategy of minimizing the cost function is available, both for the case where the state is fully known and where it is estimated through an observer. The situation is different when the cost function has an exponential discount factor, also known as a prescribed degree of stability. In this case, the optimal contro...

The effect of intelligent semi-active thermal exchange-fuzzy controller in structural rehabilitation by attenuating seismic responses of structural systems is investigated. In the suggested control system, MR dampers and sensors are employed as a semi-active controller. Resultant control forces of MR damper are administrated by providing external voltage supply, during the earthquakes and high ...