this paper studies a maintenance policy for a system composed of two components, which are subject to continuous deterioration and consequently stochastic failure. the failure of each component results in the failure of the system. the components are inspected periodically and their deterioration degrees are monitored. the components can be maintained using different maintenance actions (repair...

We investigate the question, " how does time flow? " and show that time may change by inversions as well. We discuss its implications to a simple class of linear systems. Instead of introducing any unphysical behaviour, inversions can lead to a new multi-time scale evolutionary path for the linear system exhibiting late time stochastic fluctuations. We explain how stochastic behaviour is inject...

This paper presents a new approach to real-time system scheduling. The approach, called real-time queueing theory, includes customer timing requirements into queueing models. With real-time queueing models, one is able to explicitly characterize the dynamic behavior of the customer lead-tame profile process where lead-time = deadline minus current time. In spite of the injinite dimensionality o...

The present paper addresses an effective cyber defense model by applying information fusion based game theoretical approaches‎. ‎In the present paper, we are trying to improve previous models by applying stochastic optimal control and robust optimization techniques‎. ‎Jump processes are applied to model different and complex situations in cyber games‎. ‎Applying jump processes we propose some m...

Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved.  Uniqueness and converg...

In “Dynamic Stochastic Matching Under Limited Time,” Aouad and Sar?taç analyze the design of matching policies in dynamic markets such as carpooling platforms kidney exchange schemes. A crucial distinction with previous literature is that agents’ arrivals departures are fully dynamic. The demand supply side constantly replenished; each market participant remains available for potential matches ...