In this paper, we consider a dynamic stochastic inventory model with fixed inventory holding and shortage costs in addition to a fixed ordering cost. WE discuss a sufficient and necessary condition for an (s,S) policy to be optimal in the class of such stochastic inventory models. Furthermore, we explore how such a sufficient and necessary condition can be rewritten when the demand distribution...

The aim of this study is performing free vibration analysis segmented Timoshenko beams on two parameter elastic foundation by using the transfer matrix method (TMM). Pasternak model which has an incompressible shear layer vertical elements attached to Winkler springs was considered. formulations are based closed-form solutions equations motion were obtained. natural frequencies calculated equat...