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Sum of product forms solutions to msccc queues with job type dependent processing times.
| Content Provider | CiteSeerX |
|---|---|
| Author | Jeremy, Ivo Adan Visschers, Jeremy Wessels, Jaap |
| Abstract | Queueing models with simultaneous resource possession can be used to model production systems at which the production process occupies two or more resources (machines, operators, product carriers etc.) at the same time. A special class of these queueing models is the class of MSCCC queues, for which the stationary distribution has a product form. This was shown by Berezner et al. whose result depends on one special characteristic of MSCCC queues, being the processing times are job type independent exponentially distributed. However in many production situations processing times are job type dependent. Therefore we examined MSCCC queues with job type dependent exponentially distributed processing times. We determined the equilibrium probabilities of two special models using a detailed state description, for which a solution using an aggregated state description is known. Comparing these two solutions we gained more insight in the structure of the solution to more general models for whi... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Msccc Queue Product Form Solution Job Type Dependent Processing Time Job Type Dependent Detailed State Description Production Process Product Form Product Carrier Production System Aggregated State Description Stationary Distribution Special Class Simultaneous Resource Possession Special Characteristic Processing Time General Model Many Production Situation Equilibrium Probability Special Model |
| Content Type | Text |
