We analyze a data-processing system with n clients producing jobs which are processed in batches by m parallel servers; the throughput critically depends on batch size and corresponding sub-additive speedup function that arises due to overhead amortization. In practice, optimization relies numerical searches for optimal is computationally cumbersome. this paper, we model terms of closed queuein...

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...

Discrete{time analysis (DTA) is a modelling technique that is mainly applied to the analysis of communication systems. In this paper, we show how DTA can be adopted to the numerical analysis of manufacturing systems. The modelling concepts of DTA are introduced and the advantages of DTA over other methods like discrete{event simulation are indicated. We apply DTA to two sample applications, nam...

Compared with batch systems, flowthrough and countercurrent reactors have important potential advantages for pretreating cellulosic biomass, including higher hemicellulose sugar yields, enhanced cellulose digestibility, and reduced chemical additions. Unfortunately, they suffer from high water and energy use. To better understand these trade-offs, comparative data are reported on xylan and lign...

This paper focuses on batch environment of an enterprise. We use various data sources such as dependency data, alert and ticket data, and run history data of the jobs in batch systems to build a model of batch operations. We enrich the model with various attributes derived by graph analysis of dependency data, time-series analysis of execution history of jobs, and text and statistical analysis ...

The control of batch processes poses difficult issues as these processes are neither continuous nor discrete, but have the characteristics of both. ISA society introduced a multi-part S88 standard where the first part [1] defines the models and terminology for batch plants and control systems. S88 provides a framework for the development of technologies that not only support control activities ...

In this paper some problems of the mathematical modelling and high control algorithms of feed-batch fermentation process of Escherichia coli are considered. An unstructured mathematical model for E. coli feed-batch fermentation is developed on the base of FIA measurements. Methodology for the models’ parameters estimation is proposed on the basis of nonlinear optimization methods. The model acc...