Input/output lot sizing in single stage batch production systems under constant demand

This paper develops an integrated input/output lot sizing model under deterministic conditions for a single product manufactured within a batch production environment. Our analysis incorporates the effects of work-in-process inventories resulting from multiple input items that are converted to output at finite rates in a single stage process and encompasses, simultaneously, the lot sizing decisions for the end product, as well as the externally procured input items. The resulting model represents a nonlinear mixed integer optimization problem, for which an efficient heuristic solution technique is suggested.