@article{BrandtBrandt2005, author = {Brandt, Andreas and Brandt, Manfred}, title = {Individual overflow and freed carried traffics for a link with trunk reservation}, series = {Telecommunication Syst.}, volume = {29}, journal = {Telecommunication Syst.}, pages = {283 -- 308}, year = {2005}, language = {en} } @inproceedings{BrandtBrandtRugeletal.2005, author = {Brandt, Andreas and Brandt, Manfred and Rugel, S. and Weber, D.}, title = {Admission control for realtime traffic}, series = {Proc. IEEE Wireless Communications \& Networking Conference WCNC 2005}, booktitle = {Proc. IEEE Wireless Communications \& Networking Conference WCNC 2005}, address = {New Orleans, USA}, year = {2005}, language = {en} } @article{BrandtBrandt2004, author = {Brandt, Andreas and Brandt, Manfred}, title = {On the two-class \$M/M/1\$ system under preemptive resume and impatience of the prioritized customers}, series = {Queueing Syst.}, volume = {47}, journal = {Queueing Syst.}, pages = {147 -- 168}, year = {2004}, language = {en} } @article{BrandtBrandt2002, author = {Brandt, Andreas and Brandt, Manfred}, title = {On the moments of overflow and freed carried traffic for the \$GI/M/C/0\$ system}, series = {Methodol. Comput. Appl. Probab.}, volume = {4}, journal = {Methodol. Comput. Appl. Probab.}, pages = {69 -- 82}, year = {2002}, language = {en} } @article{BrandtBrandt2002, author = {Brandt, Andreas and Brandt, Manfred}, title = {Asymptotic results and a Markovian approximation for the \$M(n)/M(n)/s+GI\$ system}, series = {Queueing Syst.}, volume = {41}, journal = {Queueing Syst.}, pages = {73 -- 94}, year = {2002}, language = {en} } @article{BrandtBrandt2001, author = {Brandt, Andreas and Brandt, Manfred}, title = {Approximation for overflow moments of a multiservice link with trunk reservation}, series = {Perform. Eval.}, volume = {43}, journal = {Perform. Eval.}, pages = {259 -- 268}, year = {2001}, language = {en} } @article{BrandtBrandt2010, author = {Brandt, Andreas and Brandt, Manfred}, title = {Insensitive bounds for the moments of the sojourn times in \$M/GI\$ systems under state-dependent processor sharing}, series = {Adv. Appl. Probab.}, volume = {42}, journal = {Adv. Appl. Probab.}, pages = {246 -- 267}, year = {2010}, language = {en} } @misc{Brandt, author = {Brandt, Manfred}, title = {Approximations for the Distribution Function of the Sum of iid Random Variables with Compact Support in R+}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-1990}, number = {SC-95-33}, abstract = {In this paper a unified approach to central and decentral approximations of the distribution function \$F(x,n)\$ of the sum of \$n\$ iid random variables with compact support in \$I\!\!R_+\$ is given. This approach yields direct Edgeworth expansion (especially the Central limit theorem) and indirect Edgeworth expansion (Theorem of Bahadur-Rao, large deviation results) within a unified framework. An approximative inversion of the LST of \$F(x,n)\$ (approximation of the complex inversion integral over a line by an integral over a proper bounded arc with a proper integrand) allows to get these approximations and moreover explicit error bounds.}, language = {en} }