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University of the Witwatersrand, Johannesburg, Frank Beichelt

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Professor Frank Beichelt

MSc (Jena) PhD (Freiberg) Dr Sc Techn (Dresden)


Research Interests

Reliability theory, maintenance theory, safety analysis, stochastic methods in finance.

 

Academic degrees:
1966: Diplommathematician (MSc. Math.), specialized in probability theory and mathematical statistics, Friedrich-Schiller-University Jena (Germany).
1972: Dr. rer. nat. (PhD) in mathematics with "summa cum laude", Technical University Mining Academy Freiberg (Germany).
1978: Dr. sc. techn. (=Dr.-Ing. habil.) in reliability and maintenance theory. University for Transportation and Communication Dresden, Germany

Lecturing Responsibilites:
Honours courses: Stochastic processes in finance, operations research, reliability theory.

Academic Employment Record and Events:
1974 - 79: Deputy head engineer for science and technology; lignite mining industry in the town of Roeblingen am See.

1979 - 81: University docent for reliability, safety and maintenance of traffic systems; University for Transportation & Communication "Friedrich List" Dresden, Department of Traffic Cybernetics.

1981 - 92: Professor of mathematics and head of the department of mathematics; University of Engineering Mittweida.

1997 - 08 University of the Witwatersrand, Johannesburg, Professor of Operations Research.

2008 - Retirement

01.03.2008 - 31.12.2010: Sessional Lecturer

1990 - 98: Visiting professor and visiting scientist, respectively, at the University of Wuerzburg, University of Applied Sciences Wuerzburg-Schweinfurt, University of Fribourg (Switzerland), Arizona State University Tempe (USA).

Since 1992 short biographies of F. Beichelt have been published in Who's Who in the World, Marquis Publishers, USA; Wer ist Wer-The German Who's Who, Publishing House Schmidt-Roemhild, Luebeck, Germany, and Dictionary of International Biography, The International Biographical Centre Cambridge, England. He has published eleven books and about 100 papers.

2006: Lifetime achievement award for "outstanding research in the area of reliability theory"

Mountaineering/Hiking

2001, September: Ascent of Thabana Ntletyana (3486m), highest mountain in

Southern Africa )with Tod Collins and his great team from the

Underberg area), Lesotho

2003, September: Grand Drakensberg Traverse with Thea Mari du Rand and James

Voortman. 220 Km on the ridge of the Drakensberg from

Witsieshook to Bushmans Nek at an altitude between 2800m and

3450m, South Africa.

2003, October: Ascent of Mount Kilimanjaro up to the Uhuru Peak (5895m),

Tanzania.

2004, June: Inca-Hiking Trail to Machu Picchu, Peru.

2004, December: Aconcagua, up to Camp 1 at the normal route (5000m), Argentina.

2006, June: Ascent of Mount Elbrus (5642m), Russia

2008, June: Fish River Canyon Hiking Trial Namibia, 85 km desert Backpacking
2008, September: Ascent of Mt. Agarats (4090m), Armenia (South, West and North summit).
2008, September: Ascent of Mt. Damavand (5671 m), Iran, North-East Route
Many thanks to Mohammad and Nasir (www.mountainzone.ir) for excellent professional support.



Professor Beichelt on Mafadi (3450m), May 2009, South Africa



Publications

Some recent books, chapters in books, journal articles

1. (With P. Franken) Reliability and Maintenance - Mathematical Methods, Verlag Technik, Berlin 1983, 460pp (in German).

Carl Hanser - Verlag, Munich- Vienna, 1984, Radio i Svjas, Moscov 1988 (editor: I. Uschakov)

2. (With P. Tittmann) A splitting formula for the K-terminal reliability of stochastic networks. Communications in Statistics. Stochastic Models 8 (1992) 2, 307-323.

3. A unifying approach to a class of replacement policies with minimal repair. Naval Research Logistics 40 (1993) 1, 58-75.

4. Zuverlaessigkeits- und Instandhaltungstheorie, B.G. Teubner Stuttgart 1993, 312pp.

5. Decomposition and Reduction Methods. Chapter 3 in: New Trends in Reliability Theory (Editor: K.B. Misra). Elsevier, Amsterdam, New York (1994)

6. Stochastik fuer Ingenieure - Einfuehrung in die Wahrscheinlichkeitstheorie und Mathematische Statistik (Stochastics for Engineers-An Introduction into Probability Theory and Mathematical Statistics). B.G. Teubner Stuttgart (1995), 404pp.

7. Stochastische Prozesse fuer Ingenieure (Stochastic Processes for Engineers) B.G. Teubner Stuttgart 1997, 335pp.

English editon (with L. Paul Fatti): Stochastic Processes and their Applications Taylor and Francis; London, New York, 2002, 2nd reprint: CRC Press, 2004

8. Decomposition and Reduction Methods in Network Reliability Analysis. Proc. of the 2nd Int Conf on Mathematical Methods in Reliability Theory, Bordeaux 2000, pp 179-184 (invited semi-plenary lecture).

9. (with B. Anrig) Disjoint sum forms in reliability theory. South African Journ. of Operations Research (ORION), 16 (2000) 1, 75-86.

10. A replacement policy based on limiting the cumulative maintenance cost. Internat. Journ. on Reliability and Quality Management, 18 (2001) 1, pp 76-83.

11. (with D. C. Montgomery) Teubner Taschenbuch der Stochastik (Teubner Handbook of Stochastics). B.G. Teubner, Stuttgart, Leipzig, Wiesbaden (2003).

12. (with R.S. Mamabolo) Replacement policies with minimal repair. Economic Quality Control-Int. Journ. on Reliability and Quality, vol.19 (2004), 2, 143-166.

13. Stochastic Processes in Science, Engineering and Finance, Chapman & Hall, CRC Press, 430pp, 2006 (with Solutions Manual for lecturers, 120pp)

14. (with R.M. Nkadimeng and S.S Yadavalli) Maintenance policies based on time-dependent repair cost limits. South African Journal of Science 102(2006), 597-600

15. Reliability Preserving Network Transformation-Theory, Applications and Problems. Intern. Journ. of Reliability, Quality and Safety Engineering, 14(2007)3, 189-199

16. A First Passage Time Problem in System Replacement, in: Lecture Notes in Management Science (ed.: K. Sheibani), TADBIR Tehran, vol. 1. Sept.2008, pp 222-229.

Recent Keynote Addresses/Plenary Talks

1. Reliability Preserving Network Reduction-Theory, Application and Problems.
Keynote Address at the International Conference on Quality, Reliability, and InfoCom Technology
(ICQRIT), New Delhi, December 2006.

2. Stochastic Modelling in Operations Research
Plenary Talk at the International Conference on Mathematics and Computer Sciences, Abudja,
October 2007.

3. Reliability Analysis of Complex Systems with Dependent Elements.
Plenary talk at the 1st International Conference on Applied Operation Research, Yerevan
Septermber 2008.