A joint economic lot-sizing model for the hospital’s supplier with capacitated warehouse constraint

Modeling the Production and Replenishment Decisions in a Supply Chain when the Vendor Has Limited Space

“…This chapter intends to extend the study in Wang and Lee (2013). Specifically, this chapter proposes a general JELS model for a supply chain with one buyer and one vendor, both belonging to the same organization.…”

“…where it is obvious to see both the variables u and v influence the replenishment decisions in the capacitated JELS model. Readers are referred to Wang and Lee (2013) for the note that TC (n, u, v, Q) in 16is not a convex function of W since the marginal costs are not monotonic, and for the detailed proof of the following Theorem 3 on how the supplier's limited warehouse capacity affects the maximum inventory levels of two parties while achieving the optimal replenishment policy.…”

“…In such a scenario, the buyer pays for items only when they are used and further has the guarantee that the inventory never drops below a predetermined level. Wang and Lee (2013) proposed a general JELS model in determining the production and shipment policy for a two-layer supply chain, and attained a specific threshold value which defines those existing JELS problems as a special case of the proposed model, while the supplier's warehouse capacity exceeds it. Most recently, Hariga et al (2014) considered a supply chain where the single vendor manages its multiple retailers' inventory under a contract that specifies maximum stock levels allowed by the retailers.…”

“…Applications of Contemporary Management Approaches in Supply ChainsWe then state in Lemma 3 the vendor's maximum inventory levels while the manufacturer's warehouse capacity is "big enough" as shown in Figures 2. Proof of Lemma 3 can be, again, referred toWang and Lee (2013). In the JELS model without warehouse capacity constraints, the manufacturer's maximum inventory levels, I max,m , is…”

Joint lot sizing and scheduling of a multi-product multi-period supply chain

“…The basic JELP with various costs modelling is tackled by a number of researchers (ERTOGRAL; DARWISH; BEN-DAYA, 2007;FU, 2014;WANG;LEE, 2013;MARCHI et al, 2016). Extensions of the basic JELP can be found in (VAN HOESEL et al, 2005), were the decision variables were taken over a number of periods.…”