We study a continuous-review, two-echelon inventory system with one central warehouse, multiple local facilities, and each facility facing random demand. Local facilities replenish their stock from the central warehouse (or distribution center), which in turn places orders at an outside supplier...

We consider the classic continuous-review N-stage serial inventory system with a homogeneous Poisson demand arrival process at the most downstream stage (Stage 1). Any shipment to each stage, regardless of its size, incurs a positive fixed setup cost and takes a positive constant leadtime. The...

As a supplement to Zhu et al. (2020), this document consists of five parts. First, it provides technical proofs of some theoretical results in Zhu et al. (2020). Second, it introduces some preliminary results on stochastic distribution systems with fixed shipment costs. Third, it provides some...