Lot-sizing and capacity planning are important supply chain decisions, and competition and cooperation affect the performance of these decisions. In this paper, we look into the dynamic lot sizing and resource competition problem of an industry consisting of multiple firms. A capacity competition model combining the complexity of time-varying demand with cost functions and economies os scale ar...

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...

The challenges faced by classical supply chain management affect efficiency with regard to business. Classical is associated high risks due a lack of accountability and transparency. use optimization algorithms considered decision-making support improve the operations processes in green manufacturing. This paper suggests solution lot size problem using bio-inspired algorithms, specifically, but...