Taxonomy of batch queueing models in manufacturing systems

•We give comprehensive classifications for batch queueing models in manufacturing systems.•Eight types of batch models have been identified.•We propose new batch queue models based on the classification.•The newly proposed models give reliable evaluation of system performance in heavy traffic.

Batching plays an important role in performance evaluation of manufacturing systems. Three types of batching are commonly seen: transfer batches, parallel batches and serial batches. To model the batching behavior correctly, a comprehensive classification of batching is proposed. Eight types of batching behavior are classified and corresponding queueing models are given. The newly proposed models are validated by simulation.