Abstract Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In addition, none of these surveys consider models including the combination of batch arrivals and a server operating under...

We recently introduced a new stochastic Petri net model called “batch deterministic and stochastic Petri nets” (BDSPNs) capable of describing the synchronization of discrete and batch token flows in discrete batch processes. It is a powerful formal model for the study of inventory systems and supply chains where materials are processed or ordered in finite discrete quantities (batches) and many...

This paper discusses many of the important themes in design of the early operating systems and their libraries. Historically, the library preceded the development of the early batch system but many of its utility functions gradually migrated to the system proper. Important ideas concerning system structure which were further elaborated in the sixties are briefly discussed.

In this paper we propose a queueing model with a batch service with both event and time counter. Its lower power consumption is an improvement over the batch service with only an event counter which probably causes a longer mean response time. If there are few events in the queue, the event counter cannot reach the lower boundary of the number of events, and thus the computer system will requir...