Humboldt-Universität zu Berlin - Wirtschaftswissenschaftliche Fakultät

Prof. Dr. Andreas Brandt

Prof. Dr. A. Brandt

 

 

 

 

 

 

 

 

 

 

(1955 - 2014 †) 

 

Contents

Research Interests

  • applied probability and stochastic models in operations research
  • stochastic processes and their applications
  • queueing theory
  • performance analysis of computer and communication systems
  • reliability theory
  • marked point processes

Selected Publications

For the complete list see here

Papers
  • 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
  • Workload and busy period for M/GI/1 with a general impatience mechanism (by A. Brandt and M. Brandt). ZIB-Report 11-43 (2011)
  • Approximations für the secound moments of sojourn times in M/GI systems under state-dependent processor sharing (by A. Brandt and M. Brandt) ZIB-Report 09-25 (2009)
  • Waiting times for M/M systems under generalizes processor (by A. Brandt and M. Brandt). ZIB-Report 06-46 (2006) 1 - 25
  • Insensitive bounds for the moments of the sojourn times in M/GI systems under state-dependent processor sharing (by A. Brandt and M. Brandt), Adv. Appl. Prob., 42 (2010) 246-267. ZIB-Report 09-02 (2009) 1 - 25
  • On the stability of the multi-queue multi-server processor sharing with limited service (by A. Brandt and M. Brandt), Queueing Systems 56 (2007) 1- 8. ZIB-Report 06-25 (2006) 1 - 16
  • A sample path relation for the sojourn times in G/G/1-PS systems and its applications (by A. Brandt and M. Brandt), Queueing Systems, 52 (2006) 281 - 286. ZIB-Report 03-18
  • Individual Overflow and Freed Carried Traffics for a Link with Trunk Reservation (by A. Brandt and M. Brandt), Telecommunication Systems - Modeling, Analysis, Design and Managment, Vol.29 (2005) No.4, 283-308. ZIB-Report 01-35 (2001) 1 - 25
  • Admission Control for Realtime Traffic: Improving Performance of Mobile Networks by Operating on Actual Throughput (by A. Brandt and M. Brandt, S. Rugel, D. Weber) In: Proc. IEEE WCNC 2005 Session: NET03-3 p.1-7, New Orleans, 13-17 March 2005.  Postscript. Additional Technical Report: A Birth-Death Approximation for a Fluid Source in a Token Bucket Model (by A.Brandt and M.Brandt). PDF
  • On the two-class M/M/1 system under preemtive resume and impatience of the prioritized customers (by A. Brandt and M. Brandt), Queueing Systems 47 (2004) 147-168. ZIB-Report 02-28 (2002) 1 - 26
  • On the moments of overflow and freed carried traffic for the GI/M/C/0 system (by A. Brandt and M. Brandt), Meth. and Comp. in Appl. Prob. 4 (2002) 69-82. ZIB-Report 01-09 (2001) 1 - 18
  • Approximation for overflow moments of a multiservice link with trunk reservation (by A. Brandt and M. Brandt), Performance Evaluation 43 (2001) 259-268, Proceedings of the SPIE Congress on Performance and Control of Network Systems III, Boston, Massachusetts, SPIE Vol. 3841 (September 1999) 85-93. Postscript
  • On the M(n)/M(m)/s queue with impatient calls (by A. Brandt and M. Brandt), Performance Evaluation 35 (1999) 1-18. ZIB-Report SC 97-19 (1997) 1 - 25
  • Modelling and optimization of call distribution system (by A. Brandt, M. Brandt, D. Spahl and D. Weber), Proceedings of the ITC-15 (1997) Washington, 133-144.
  • Individual Blocking probabilities in the loss system GI+M/\vec{M}/N/0 (by A. Brandt), Math. Methods of Operations Research 44 (1996) 49-74.
  • On the pathwise comparison of jump processes driven by stochastic intensities (by A. Brandt and G. Last), Mathematische Nachrichten 167 (1994) 21-42.
  • On the distribution of the number of packets in the fluid flow approximation of packet arrival streams (by A. Brandt and M. Brandt), Queueing Systems 17 (1994) 275-315.
  • Correlated input processes in switching systems and some applications (by A. Brandt and D. Weber), Proceedings of the 14th International Teletraffic Congress, June 1994, Antibes Juan-les-Pins, 285-293 PDF, Postscript
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.

Working Papers

Patent

  • 10118190: Method for the Dimensioning of Communication Networks (jointly with Dr. M. Brandt), 28.04.2005

Cooperation with Industry and the Zuse Institut Berlin

  • Performance Analysis of Computer and Communication Systems
    • Analytische Modellierung der Aufspaltung von Paketströmen, Detecon International GmbH (Dresden), 03.11-09.11.
    • Überlagerung von Paketstromen, Detecon International GmbH (Dresden), 03.10-09.10.
    • Analytical Models for the Delay of IP Packets, Detecon International GmbH (Dresden), 03.07-09.08. Project description, Poster
    • Algorithms for computing performance measures for multi-processor-systems, Siemens AG (Munich), 04.06-09.06. Project description, Poster, Related Publication
    • Multi-queue multi-server processor sharing with limited service, Siemens AG (Munich), 10.05-03.06. Project description, Poster, Related Publication
    • Analysis of the PoC voice quality under circuit switched load in a mobile cell, Siemens AG (Munich), 10.04-09.05.
    • Admission control for realtime traffic, Siemens AG (Munich), 10.03-09.04. Project description, Poster, Related Publication, Technical Report
    • Performance analysis of a processor for ISDN- and GPRS-networks, Siemens AG (Munich), 10.02-09.03. Project description, Poster, Related Publication
    • Tools for the performance analysis of Hicom-networks with mobile participants, Siemens AG (Munich), 10.01-09.02.
    • Mobile participants at Hicom networks; Performance analysis of a dynamic single cell in a mobile network, Siemens AG (Munich), 01.01-09.01.
    • Overflow and freed carried traffic for a single link, Siemens AG (Munich), 01.00-01.01. Project description, Poster, Related Publication
    • Approximation of the buffer occupancy distribution and sojourn time of calls in a Round-Robin-Scheduler, Siemens AG (Munich), 01.00-01.01.
    • Individual overflow and freed carried traffics for a link with trunk reservation, Siemens AG (Munich), 01.98-12.99. Project description, Poster, Related Publication
    • Performance analysis for a Fair Share Scheduler, Siemens AG (Munich), 01.98-12.98.
    • Approximation for overflow moments of a multiservice link with trunk reservation, Deutsche Telekom AG (FTZ Darmstadt), 05.95-06.96. Related Publication
    • Performance analysis and stability conditions for processor sharing models, Siemens AG (Munich), 10.93-09.94. Related Publication
    • On the distribution of the number of packets in the fluid flow approximation of packet arrival streams, Deutsche Telekom AG (FTZ Darmstadt), 02.92-09.94. Related Publication
    • Communication networks with channel allocations, ZFTN (Center for Telecommunication) (Berlin), 01.88-12.89. Related Publication
    • Single server model with packetwise transmission of messages, ZFTN (Center for Telecommunication) (Berlin), 01.87-12.88. Related Publication
  • Dimensioning of Call Center Modells (ACD-Systems)
  • Reliability Analysis and Maintenance
    • Reliability analysis for technical systems with inspection, repair and maintenance, BMW Rolls-Royce AeroEngines GmbH (Dahlewitz), 05.97-12.97. Related Publication
    • Reliabilty analysis of standby systems with repair and intermediate stocks for failed and repaired units, ZFTN (Center for Telecommunication) (Berlin), 01.86-12.86. Related Publication
    • Reliability investigations for a large terminal system, Robotron (Dresden), 01.84-12.84. Related Publication
    • Production processes with buffers, Robotron (Dresden), 01.84-12.84.

Curriculum Vitae

Education
Master's Degree (Diplom) in Mathematics (Probability Theory),
Humboldt University Berlin
Research Fellowship
Ph. D. in Mathematics (Dr. rer. nat.) Probability Theory,
Humboldt University Berlin
Dr. sc. nat. (equiv. habilitation) Dep. Mathematics,
Humboldt University Berlin
Facultas docendi for Mathematical Statistics and Probability Theory,
Humboldt University Berlin
Academic Positions
Scientific Assistent, Dept. Mathematics, Humboldt University Berlin
Assistant Professor (wissenschaftlicher Oberassistent), Dept. Mathematics, Humboldt University Berlin
Head of the group Applied Probability, Dept. Mathematics, Humboldt University Berlin
Professor for Operations Research, Faculty of Economy, Humboldt University Berlin
Head of the Institute of Operations Research, Faculty of Economy, Humboldt University Berlin
Professional Activities
  • Associate Editor, Queueing Systems
  • member GOR,
  • member ITG.