A reliability model of packaged products in transportation has been built in terms of a generalized shock assumption. Shocks acting on products are assumed to come from an unexpected source following Poisson stochastic process in which each shock has a standard normal distributed response acceleration, and the transportation package reliability is defined as the probability that within a given time period, the maximal response acceleration on the packaged products does not exceed a specified value, i.e. fragility of the products. A formula of the transportation package reliability is deduced and a numerical example is presented to illustrate the results. If packaging designers could follow the results given in the paper, packaged products could achieve minimum packaging cost while guarantee delivery safety without causing damage or quality Ices.
The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short （less than some critical value） do not result in system failure, and such a repair interval is omitted from the downtime record. Usually, the underlying process is Markov process if the durations of working and repair time have the negative-exponential distributions, but the new system has not the Markov properties, which is worth to study. The reliability indexes such as instantaneous availability and steady-state availabilities for the new system are given through probability analysis. A numerical example is given to illustrate the results.
