Humboldt-Universität zu Berlin - Wirtschaftswissenschaftliche Fakultät

(1955 - 2014 †) 

Contents

• Research Interests
• Selected Publications
  • complete list of Publications (new page)
  • Papers
  • Monographs
• Working Papers
• Patent
• Cooperation with Industry and the Zuse Institut Berlin
• Curriculum Vitae
  • Education
  • Academic Positions
  • Professional Activities

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//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

• A multi-server batch arrival retrial system (by A. Brandt and T. Schiemann), Technical Report 2003, Institute for Operations Research, Humboldt-Universität zu Berlin. PDF Postscript
• A Birth-Death Approximation for a Fluid Source in a Token Bucket Model (by A. Brandt and M. Brandt). PDF
• Software tool for computing the probability of a system failure and the reliability for a complex repairable system in discrete time (by A. Brandt and M. Brandt). Postscript
• Approximation der Überlaufströme bei Systemen mit selektiver Trunk-Reservation für heterogene Quellen (by A. Brandt, M. Brandt and H. Pohl). Postscript

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)
  • Performance analysis for Inbound and Outbound Call Center, Siemens AG (Munich), 08.96-12.97. Related Publication I, Related Publication II
  • Dimensioning and optimization of ACD-Systems (I-III), Siemens AG (Munich), 05.94-06.96. Related Publication
• 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

Academic Positions

Professional Activities

• Associate Editor, Queueing Systems
• member GOR,
• member ITG.