COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Optimization and Incentives Seminar > Busy Periods in Fluid Queues with Multiple Emptying Input States

## Busy Periods in Fluid Queues with Multiple Emptying Input StatesAdd to your list(s) Download to your calendar using vCal - Prof. Peter Harrison, Imperial College London.
- Monday 12 October 2009, 14:30-15:30
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Neil Walton. A semi-numerical method is derived to compute the Laplace transform of the equilibrium busy period probability density function in a fluid queue with constant output rate when the buffer is non-empty. The input process is controlled by a continuous time semi-Markov chain (CTSMC) with $n$ states such that in each state the input rate is constant. The holding time in states with net positive output rate—so called {\em emptying states}—is assumed to be an exponentially distributed random variable, whereas in states with net positive input rate—{\em filling states}—it may have an arbitrary probability distribution. The result is demonstrated by applying it to various systems, including fluid queues with two on-off input sources. The latter exercise in part shows consistency with prior results but also solves the problem in the case where there are two emptying states. Numerical results are presented for selected examples which expose discontinuities in the busy period distribution when the number of emptying states changes, e.g. as a result of increasing the fluid arrival rate in one or more states of the controlling CTSMC . This talk is part of the Optimization and Incentives Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- Economics and Computer Science Talks
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Optimization and Incentives Seminar
- School of Physical Sciences
- Statistical Laboratory info aggregator
- Trust & Technology Initiative - interesting events
- bld31
Note that ex-directory lists are not shown. |
## Other listsAMOP list Developmental Biolo Arctic Ocean Geopolitics Programme## Other talksMicrosporidia: diverse, opportunistic and pervasive pathogens Grammar Variational Autoencoder Electrophysiological approaches in Lewy body dementia: helpful or not? A domain-decomposition-based model reduction method for convection-diffusion equations with random coefficients The Knotty Maths of Medicine Is Demand Side Response a womanâ€™s work? Gender dynamics in a field trial of smart meters and Time of Use tariffs in east London. |