Optimal two-stage lot sizing and inventory batching policies

Article Abstract:

Two-stage lot sizing problems with a constant demand rate and finite production rates are analyzed. Under distinct system characteristics and lot sizing and inventory policies, different lot sizing and inventory batching, namely, operation-unit batching (OUB) and unit-unit batching (UUB) models are developed. The analysis of the optimality of the lot size ratio between the two stages shows that both non-increasing and non-decreasing lot sizing policies can be optimal in both OUB and UUB. A simple optimal solution method to the two-stage lot sizing and inventory batching problem is presented.

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Single facility, multi-item lot sizing under just-in-time and "cyclic scheduling for improvement." (Mathematical Modelling of Inventories)

Article Abstract:

An economic lot scheduling model is applied to a just-in-time (JIT) system by incorporating process variables. The model serves to address expanded lot sizing problems through continuous performance of cycle time analysis. The results show that the generation of creative ideas involving capital investments can result in improvements. Cost components generally are not be quantifiable, although some are easily quantified. All data needs to be taken and used in the model for analysis.

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Just-in-time purchasing: single or multiple sourcing?

Article Abstract:

Just-in-Time (JIT) purchasing involves a continuous purchase of small lot sizes from a single or a few suppliers. The deterministic order-splitting EOQ model was analyzed for single- and multiple-vendor JIT models with the assumption that aggregate ordering cost is a non-decreasing function of delivery number. Hypothetical aggregate orderimg cost functions were likewise analyzed, namely the convex exponential, concave logarithmic, and linear step functions.

Models, Purchasing, Industrial suppliers, Costs, Industrial, Industrial costs

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