zbMATH — the first resource for mathematics

Tandem queues with planned inventories. (English) Zbl 0758.90025
Summary: This paper explores a natural generalization of the classic tandem-queue model, designed specifically to represent make-to-stock production processes. In such systems, intermediate and finished goods can be produced and stored in advance of demand. We consider the simplest version of the model, where demand is a Poisson process, and the unit production times are exponentially distributed. We propose and test a tractable approximation scheme. The approximation appears to be quite accurate.

90B05 Inventory, storage, reservoirs
90B30 Production models
60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
Full Text: DOI