The amount of detail to include in a performance model is usually regarded as a judgment to be made by an expert modeler and the question “how much detail is necessary?” is seldom asked and difficult to answer. However, if a simpler model gives essentially the same performance predictions, it may be more useful than a detailed model. It may solve more quickly, for instance. Or a model for a com...

Abstract We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue a different way. Inter-event times all are Mittag-Leffler distributed, which is heavy tail distribution with no moments. For of we answer question being at zero infinitely often (the ‘recurrence’ regime) or not transient regime). Aside from this question, analytical propertie...

Large scale scientific projects generate and use huge amounts of data. For example, the NASA EOSDIS project is expected to archive one petabyte per year of raw satellite data. This data is made automatically available for processing into higher level data products and for dissemination to the scientific community. Such large volumes of data can only be stored in robotic storage libraries (RSLs)...

 In this paper a single server queuing production system is considered which is subject to gradual deterioration. The system is discussed under two different deteriorating conditions. A planning horizon is considered and server which is a D/M/1 queuing system is gradually deteriorates through time periods. A maintenance policy is taken into account whereby the server is restored to its initial ...

Queuing theory provides a theoretical framework for quantitative understanding of the performance of streaming applications. There are questions, however, as to the suitability of queuing models to real applications. Here, we investigate the correspondence between a relatively simple queuing model of an FPGA-accelerated BLAST implementation and empirical measurements taken from executions of th...

As input traffic at various nodes in packet switched telecommunication networks typically exhibits considerable correlation, there is a continuing interest in queuing systems with correlated arrivals. The class of M/G/∞ arrival models can account for various types of arrival correlation, has a twolevel structure which is appealing in the context of network protocol stacks, and is characterised ...

Queuing theory is the branch of Operations research in applied mathematics and deals with phenomenon of waiting lines. Queuing theory is concerned with the mathematical modeling and analysis of systems which provides service to random demands. In this paper, we have focused the applications of queuing theory in the field of healthcare (hospital) i.e. one of the biological paradigm. The health s...