This paper considers the multi-item dynamic lot size model where joint business volume discount is applied for all items purchased whenever the total dollar value of an order reaches a certain level. Multi-item discounts are prevalent in practical applications, yet the literature has only considered limited instances of single-item models. We establish the mathematical formulation and design an...

This paper examines the optimal production lot size decisions for clinical trial supply chains. One unique aspect of clinical trial supply chains is the risk of failure, meaning that the investigational drug is proven unsafe or ineffective during human testing and the trial is halted. Upon failure, any unused inventory is essentially wasted and needs to be destroyed. To avoid waste, manufacture...

In this paper, we use integer programming (IP) to compute minimal forecast horizons for the classical dynamic lot-sizing problem (DLS). As a solution approach for computing forecast horizons, integer programming has been largely ignored by the research community. It is our belief that the modelling and structural advantages of the IP approach coupled with the recent significant developments in ...

We present lot-sizing heuristics that are both e cient and stable for the dynamic lot-sizing problem(DLSP) with constant or variable unit costs, including setup, inventory holding and production costs. These heuristics are myopic variants of the forward Wagner-Whitin algorithm with rolling horizons. Large scale computational experiments show that these heuristics considerably outperform other w...

In this paper, an inventory model for two-stage supply chain is investigated. A supply chain with single vendor and single buyer is considered. We assume that shortage as a backorder is allowed for the buyer and the vendor makes the production set up every time the buyer places an order and supplies on a lot for lot basis. With these assumptions, the joint economic lot size model is introduced ...

This article develops an integrated JIT lot-splitting model for a single supplier and a single buyer. In this model we consider reduction of setup time, and the optimal lot size are obtained due to reduced setup time in the context of joint optimization for both buyer and supplier, under deterministic condition with a single product. Two cases are discussed: Single Delivery (SD) case, and Multi...

Considerable attention to coordinate the system between buyer and vendor has become an interesting issue to efficiently increase the performance of supply chain activities. Joint economic lot size model (JELS) has been introduced by many researchers as the spirit of coordinating the flow of material from the vendor to its downstream. As an inventory replenishment technique, JELS model is center...