The widely used METRIC-based sparing models assume that equipment failures are generated by an infinite working item population. These models were first developed and applied in the US which maintains large fleets of specific platforms obscuring the errors introduced by this simplification. However, in countries like Canada where fleet sizes tend to be small, the errors introduced by this assum...

This paper considers a single-echelon, continuous review, inventory system with a warehouse facing compound Poisson customer demand. The replenishment lead-time is constant. Demand that cannot be met directly is backordered. There are standard linear holding and backorder costs but no set-up or ordering cost. It is assumed that the demand process starts at a certain given time. Consequently, be...

We consider a multiproduct assemble-to-order system. Components are built to stock with inventory controlled by base-stock rules, but final products are assembled to customer orders only. There are multiple types of orders, which arrive at the system following batch Poisson processes. The leadtimes for replenishing component inventory are stochastic. We study the optimal allocation of a given b...

In this paper we consider the inventory problem with backorder such that both order and total demand quantities are triangular fuzzy numbers Q̃ = (q1, q0, q2), and R̃ = (r1, r0, r2) respectively, where q1 = q0−Δ1, q2 = q0+Δ2,r1 = r0−Δ3, r2 = r0+Δ4 such that 0 < Δ1 < q0, 0 < Δ2, 0 < Δ3 < r0, 0 < Δ4. Let s denote the maximum inventory quantity. Under conditions s ≤ q1 < q0 < q2 < r1 < r0 < r2, we f...