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@inproceedings{Casale:2019:10.1145/3374888.3374900,
author = {Casale, G and Harrison, P and Wai, Hong O},
doi = {10.1145/3374888.3374900},
publisher = {ACM},
title = {Novel solutions for closed queueing networks with load-dependent stations},
url = {http://dx.doi.org/10.1145/3374888.3374900},
year = {2019}
}

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TY  - CPAPER
AB  - Load-dependent closed queueing networks are difficult toapproximate since their analysis requires to consider state-dependent service demands.  Commonly employed evaluationtechniques,  such  as  mean-value  analysis,  are  not  equallyefficient in the load-dependent setting, where mean queue-lengths are insufficient alone to recursively determine themodel equilibrium performance.In this paper, we contribute to addressing this problem byobtaining novel solutions for the normalizing constant of stateprobabilities in the load-dependent setting.  For single-classload-dependent models, we provide the first explicit exactformula for the normalizing constant that applies to modelswith arbitrary load-dependent rates, while retainingO(1)complexity with respect to the total population size.  Fromthis result, we derive two novel integral forms for the normal-izing constant in multiclass load-dependent models, whichinvolve integration in the real and complex domains.  Thepaper also illustrates through experiments the computationalgains and accuracy of the obtained expressions.
AU  - Casale,G
AU  - Harrison,P
AU  - Wai,Hong O
DO  - 10.1145/3374888.3374900
PB  - ACM
PY  - 2019///
TI  - Novel solutions for closed queueing networks with load-dependent stations
UR  - http://dx.doi.org/10.1145/3374888.3374900
UR  - https://dl.acm.org/doi/10.1145/3374888.3374900
UR  - http://hdl.handle.net/10044/1/72090
ER  -

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