Lot sizes, lead times and inprocess inventories
Management Science
Aclips: a Capacity and Lead Time Integrated Procedure for Scheduling
Management Science
Simulation with Arena
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Optimal lot-sizing with capacity constraints and auto-correlated interarrival times
WSC '04 Proceedings of the 36th conference on Winter simulation
Design and Analysis of Experiments
Design and Analysis of Experiments
Observations on material flow in supply chains
Proceedings of the 38th conference on Winter simulation
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Most research on lot-size optimization has concentrated on single-stage batch production systems. However, in practice it is of interest to optimize performance over multiple processing stages, where stages are not independent. The models in this study consider two stages, where multiple products are produced using the processing stages sequentially. The objective is to minimize total lot flow times across both stages by selecting the optimal lot sizes for each product, subject to these remaining constant across both stages. Analytical relationships can be developed but rely on the assumption of lot interarrival time independence. This is clearly not the case in most manufacturing problems. Better solutions can be obtained experimentally using simulation and response surface methods. Alternatively, an approach has been developed that allows dynamic feedback to be used in adjusting analytical relations to compensate for auto-correlation. Results using this approach compare well with those obtained experimentally.