This work considers stochastic comparisons of lifetimes series and parallel systems with dependent heterogeneous components having following the proportional odds (PO) model. The joint distribution component is modeled by Archimedean survival copula. We discuss some potential applications our findings in system reliability actuarial science.

In this paper, we consider vulnerable systems which can have different states corresponding to different combinations of available elements composing the system. Each state can be characterized by a performance rate, which is the quantitative measure of a system’s ability to perform its task. Both the impact of external factors (attack) and internal causes (failures) affect system survivability...

One of the best solutions provided to improve the availability of industrial and communication systems is to add redundant elements. Usually this task tries to achieve a performance level with minimal cost. The problem of total investment cost minimization, subject to availability constraints, is a pure redundancy optimization problem which is known to be intractable and for which no determinis...

In this paper we consider vulnerable systems which can have different states corresponding to different combinations of available elements composing the system. Each state can be characterized by a system performance rate, which is the quantitative measure of a system’s ability to perform its task. Both the impact of external factors (attack) and internal causes (failures) affect system surviva...

in this paper the real time operation of an automatic teller machine (atm) is analyzed using atimed petri net (tpn) model. in the modeling, the probability of arrivals, the speed andattentiveness of customers (clients) are taken to account. different parameters are based onthe statistical data. the model is simulated for 24 hours. the diagrams of number ofsucceeded customers, failed references ...