Humboldt-Universität zu Berlin - Wirtschaftswissenschaftliche Fakultät

Publications (complete list)

1. Refereed publications

  • Brandt, A. and B. Lisek. On the approximation of GI/GI/m/0 by means of GI/GI/∞. Elektron. Informationsverarb. Kybernetik 16 (1980) 597-600.
  • Brandt, A. and B. Lisek. On the continuity of G/GI/m/∞ queues. Math. Operationsforsch. Statist., Ser. Statist. 14 (1983) 577-587.
  • Brandt, A. and B. Lisek. Recursive stochastic equations and their application to queueing theory. Wissenschaftliche Sitzungen zur Stochastik WSS-04/83. (1983) Akademie der Wissenschaften der DDR, Institut für Mathematik.
  • Brandt, A., P. Franken and B. Lisek. Ergodicity and steady state existence. Continuity of stationary distributions of queueing characteristics, Lecture Notes in Control and Information Sciences, vol. 60, Springer-Verlag, Berlin-Heidelberg-New York (1984) 275-296.
  • Brandt, A.. On stationary waiting times and limiting behaviour of queues with many servers I: The general G/G/m/∞ case. Elektron. Informationsverarb. Kybernetik 21 (1985) 47-64.
  • Brandt, A.. On stationary waiting times and limiting behaviour of queues with many servers II. The G/GI/m/∞ case. Elektron. Informationsverarb. Kybernetik 21 (1985) 151-162.
  • Brandt, A.. The stochastic equation Yn+1=AnYn+Bn with stationary coefficients. Adv. in Appl. Probab. 18 (1986) 211-220.
  • Brandt, A. and H. Sulanke. On the calculation and approximation of the mean time between failure of a system with two and three component subsystems. Elektron. Informationsverarb. Kybernetik 22 (1986) 635-645.
  • Brandt, A., P. Franken and B. Lisek. Stationary queueing systems. Existence and stability. Proceedings of the 1st World Congress of the Bernoulli-Society. Editors Yu.V. Prohorov and V.V. Sazonov, Taschkent, September 1986, VNU Science Press 1988.
  • Brandt, A.. On stationary queue length distributions for G/M/s/r queues. Queueing Systems 2 (1987) 321-332.
  • Brandt, A. and H. Sulanke. On the GI/M/∞ queue with batch arrivals of constant size. Queueing Systems 2, 87-200. (Acknowledgement of priority. Queueing Systems 3 (1988) 199-200
  • Brandt, A. and H. Sulanke. Reliability analysis of a standby system with repairable components. J. Inf. Process. Cybern. EIK 23 (1987) 277-282.
  • Brandt, A. and H.R. Künsch. On the stability of robust filter-cleaners. Stoch. Process. Appl. 30 (1988) 253-262.
  • Brandt, A.. On the GI/M/∞ queue with batch arrivals and several kinds of service distributions. Queueing Systems 4 (1989) 351-365.
  • Brandt, A., B. Lisek and O. Nerman. On stationary Markov chains and independent random variables. Stoch. Process. Appl. 34 (1990) 19-24.
  • Brandt, A., M. Brandt and H. Sulanke. A representation of a discrete distribution by its binomial moments. J. Appl. Prob. 27 (1990) 208-214.
  • Brandt, A., M. Brandt and H. Sulanke. A single server model for packetwise transmission of messages. Queueing Systems 6 (1990) 287-310.
  • Brandt, A. and H. Sulanke. Reliability analysis of a standby system with repair and intermediate stocks for failed and repaired units. Applied Stochastic Models and Data Analysis 6 (1990) 129-141.
  • Brandt, A. and H. Sulanke. A queueing network model for a communication system with channel allocation. Prob. in the Engineering and Inform. Sciences 5 (1991) 171-183.
  • Brandt, A. and D. Weber. Correlated input processes in switching systems and some applications. Proceedings of the 14th International Teletraffic Congress, June 1994, Antibes Juan-les-Pins, pp. 285-293. (Preprint PDF, Postscript)
  • Brandt, A. and M. Brandt. On the distribution of the number of packets in the fluid flow approximation of packet arrival streams. Queueing Systems 17 (1994) 275-315.
  • Brandt, A. and G. Last. On the pathwise comparison of jump processes driven by stochastic intensities. Math. Nachrichten 167 (1994) 21-42.
  • Brandt, A.. Individual blocking probabilities in the loss system GI+M/ \vec{M} /N/0. Math. Methods of Operations Research 44 (1996) 49-74.
  • Brandt, A., Brandt, M., Spahl, D. and D. Weber. Modelling and optimization of call distribution systems. Proceedings of the 15th International Teletraffic Congress - ITC 15, Washington D.C., USA, June 1997, pp. 275-284.
  • Brandt, A. and M. Brandt. On the sojourn times for many queue-head-of-the-line processor-sharing systems with permanent customers. Math. Methods of Operations Research 47 (1998) 181 - 220. (Abstract, Preprint SC-95-34)
  • Brandt, A. and M. Brandt. A note on the stability of the many-queue head-of-the line processor-sharing system with permanent customers. Queueing Systems 32 (1999) 363-381, Konrad-Zuse-Zentrum für Informationstechnik Berlin (Preprint SC 96-55)
  • Brandt, A. and M. Brandt. On the M(n)/M(m)/s queue with impatient calls. Perfomance Evaluation 35 (1999) 1-18, Konrad-Zuse-Zentrum für Informationstechnik Berlin (Preprint SC 97-19)
  • Brandt, A. and M. Brandt. On a two-queue priority system with impatience and its application to a call center. Meth. and Comp. in Appl. Prob. 1 (1999) 191-210 (Preprint SC 98-21)
  • Brandt, A. and M. Brandt. Approximation for overflow moments of a multiservice link with trunk reservation. Perfomance Evaluation 43 (2001) 259-268. Proceedings of the SPIE Congress on Performance and Control of Network Systems III, Boston, Massachusetts, September 1999, SPIE Vol. 3841, 85-93 ( Preprint)
  • Brandt, A. and M. Brandt. Asymptotic results and a Markovian approximation for the M(n)/M(n)/s+GI system. Queueing Systems 41 (2002) 73-94 (Preprint ZUSE)
  • Brandt, A. and M. Brandt. On the moments of overflow and freed carried traffic for the GI/M/C/0 system. Meth. and Comp. in Appl. Prob. 4 (2002) 69-82 (Preprint ZUSE)
  • Brandt, A. and M. Brandt. On the two-class M/M/1 system under preemtive resume and impatience of the prioritized customers. Queueing Systems 47 (2004) 147-168. Konrad-Zuse-Zentrum für Informationstechnik Berlin (Abstract, Preprint SC ZR-02-28)
  • Brandt, A. and M. Brandt, S. Rugel, D. Weber Admission Control for Realtime Traffic: Improving Performance of Mobile Networks by Operating on Actual Throughput, In: Proc. IEEE WCNC 2005 Session: NET03-3 p.1-7, New Orleans, 13-17 March 2005 (PS)
  • Brandt, A. and M. Brandt. Individual Overflow and Freed Carried Traffics for a Link with Trunk Reservation. Telecommunication Systems - Modeling, Analysis, Design and Management, Vol. 29 (2005) No. 4, 283-308,  August 2005
  • A sample path relation for the sojourn times in G/G/1-PS systems and its applications. ZIB-Report 03-18, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Queueing Syst. (2006) 52: 281-286 (by A.Brandt and M.Brandt) PDF
  • On the stability of the multi-queue multi-server processor sharing with limited service, Queueing Syst. 56 (2007) 1-8. (by A.Brandt and M.Brandt) PDF
  • Waiting times for M / M systems under state-dependent processir sharing, Queueing Syst. 59 (2008) 297-319 (by A. Brandt, M. Brandt) (DOI 10.1007/s11134-008-9086-5) (PDF)
  • On sojourn times in M/GI systems under state-dependent processor sharing, Queueing Syst. 64, 2 (2010) 167-201 (by M. Brandt and A. Brandt) (PDF)
  • Insensitive bounds for the moments of the sojourn times in M/GI systems under state-dependent processor sharing, Adv. Appl. Prob. 42 (2010) 246-267 (by A. Brandt and M. Brandt) (PDF)
  • Additive functionals with application to sojourn times in infinite-server and processor sharing systems (by M. Brandt and A. Brandt), Queueing Systems 70 (2012) 369-409. ZIB-Report 11-28

2. Monographs

  • Brandt, A., P. Franken and B. Lisek (1990). Stationary Stochastic Models. Akademie-Verlag, Berlin and Wiley & Sons, Chichester.
  • Last, G. and A. Brandt (1995). Marked Point Processes on the Real Line. The Dynamical Approach. Springer-Verlag, New York. Series in Statistics Probability and Its Applications.

3. Further publications

  • Brandt, A. (1985). Methoden zur Bestimmung von Zuverlässigkeitskenngrößen für ein hierarchisches Rechnersystem. Nachrichtentechn. Elektron., Berlin 35, 2 (1985) 72-73.
  • Brandt, A. Analysis of a communication network with bursty traffic streams. Proceedings of the 16. Symposium on Operations Research, Trier, 9.-11.9. (1991) 236-239.
  • Brandt, A. (1992) Individual blocking probabilities in the loss system. Proceedings of the 17. Symposium on Operations Research, Hamburg, 25.-28.8.1992, S. 67-69.
  • Brandt, A. and M. Brandt. On the computation of the probability of a system failure. Proceedings of the ESREL'99- The Tenth European Conference on Safety and Reliability, TUM München-Garching, September 13-17 (1999) 457-461. Schuëller & Kafka (eds), Balkema, Rotterdam 1999