Article details

Title: On the Operations Management Modeling
Author(s): Alexandru Ghiţă   Ion Bădoi            

Abstract: The paper presents a dynamical system theoretical approach to operations management modeling. It presents a selective overview on actual operations management modeling which justifies a dynamical system. It also describes the foundations of Dynamical Systems Theory, which can be used for operations management modeling, and the way they are implemented in the modeling of operations management.

Keywords: management theory, systemic approach, operations management, modeling and simulation, dynamical system theory, differential games, control systems, war games.

References:
[1] G. ABRETT, S. DEUTSCH, S. DOWNES-MARTIN, S. SWARTS – What-If Combat Simulation Support for Military Planning, In S.J. Andriole (Ed.), “Advanced Technology for Command and Control Systems Engineering”, pp. 121-146, AFCEA International Press, Fairfax, VA, 1990
[2] B.W. BENNETT – Flexible Combat Modeling, Simulation and Gaming, Vol. 24, No. 2, pp. 213-229, Jun. 1993
[3] W.G. BOLTIANSKI – Mathematical Methods of Optimal Control, Science, Moscow, Russia, 1969 (in Russian)
[4] G.A. COLE – Management Theory and Practice, 6th Edition, Thomson Learning, London, U.K., 2004
[5] G. VASEND – Corps Battle Simulation, Interservice / Industry Training Simulation and Education, Orlando, FL, Dec. 2, 2002, http://trs-new.jpl.nasa.gov/dspace/handle/2014/11099
[6] C4ISR Architecture Framework, Version 2.0, C4ISR Architecture Working Group (AWG), Dec. 18, 1997, http://www.afcea.org/education/courses/ archfwk2.pdf
[7] T.N. DUPUY – Numbers, Predictions and War: Using History to Evaluate Combat Factors and Predict the Outcome of Battles, Hero Books, Fairfax, VA, 1985
[8] T.N. DUPUY, C. JOHNSON, D.L. BONGARD, A.C. DUPUY – How to Defeat Saddam Hussein, Warner Books, New York, NY, 1991
[9] T.N. DUPUY – Future Wars: The World’s Most Dangerous Flashpoints, Warner Books, New York, NY, 1993
[10] A. FRIEDMAN – Differential Games, Wiley-Interscience, New York, NY, 1971
[11] A. GHIŢĂ – Operative Differential Games, Military Technical Academy Publishing House, Bucharest, Romania, 1998 (in Romanian)
[12] A. GHIŢĂ – Modeling, Simulation and Optimal Operations Planning, Military Technical Academy Publishing House, Bucharest, Romania, 2001 (in Romanian)
[13] A. GHIŢĂ – The JSIMS Architecture Oriented Operations Modeling, Proc. of the 30th Internationally Attended Scientific Conference “Modern Technologies in the 21st Century”, pp. 47-58, Military Technical Academy, Bucharest, Romania, Nov. 6-7, 2003
[14] A. GHIŢĂ, V. PĂUN, I. BĂDOI – Military Modeling: Model Theoretical Approach (I): Model Theory Fundamentals, MTA Review, Vol. XIV, No. 1, pp. 15-22, 2004
[15] A. GHIŢĂ, V. PĂUN, I. BĂDOI – Military Modeling: Model Theoretical Approach (II): M&S Development from the Point of View of Model Theory, MTA Review, Vol. XIV, No. 3, pp. 3-12, 2004
[16] A. GHIŢĂ, S. VICOL – Integrated Combat Modeling, Proc. of the NATO PfP/PWP Workshop “Simulators and Simulations – Powerful Means Enabling Allied Forces to Reach Interoperability”, Brno, Czech Republic, May 3-5, 1999
[17] R. ISAACS – Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization, Wiley, New York, NY, 1965
[18] Joint Technical Architecture: Volume I, Version 6.0, Department of Defense, Oct. 3, 2003, http://www.acq.osd.mil/osjtf/pdf/jta-vol-I.pdf
[19] R.E. KALMAN, P.L. FALB, M.A. ARBIB – Topics in Mathematical System Theory, McGraw-Hill, New York, NY, 1969
[20] N.N. KRASOVSKII, A.I. SUBBOTIN – Positional Differential Games, Science, Moscow, Russia, 1974 (in Russian)
[21] NATO Modeling and Simulation Master Plan, Version 1.0, Document AC/323 (SGMS)D/2, North Atlantic Treaty Organization, Aug. 7, 1998
[22] R.J. MIGHT – Principles for the Design and Selection of Combat Simulations, Simulation & Gaming, Vol. 24, No. 2, pp. 190-212, Jun. 1993
[23] Modeling and Simulation (M&S) Master Plan, DoD 5000.59-P, Department of Defense, Oct. 1995, http://www.dtic.mil/whs/ directives/corres/pdf/500059p1.pdf
[24] I. OSWALT – Current Applications, Trends, and Organizations in U.S. Military Simulation and Gaming, Simulation & Gaming, Vol. 24, No. 2, pp. 153-189, Jun. 1993
[25] Operational Requirements Document (ORD) for Joint Simulation Systems (JSIMS), A713433, Joint Warfighting Center, Fort Monroe, VA, Feb. 1, 1996, http://www.stormingmedia.us/71/7134/A713433.html
[26] E.T. POWELL, D.R. PRATT – The Joint Simulation System Architecture: A Foundation for Future Training Systems, Proc. of the Interservice/Industry Training, Simulation & Education Conference, I/ITSEC, Orlando, FL, Nov. 1997
[27] J.G. TAYLOR – Some Differential Games of Tactical Interest, Operations Research, Vol. 22, No. 2, pp. 304-317, Mar.-Apr. 1974
[28] J.G. TAYLOR – Lanchester Models of Warfare, Vol. I&II, Operations Research Society of America, Military Applications Section, Arlington, VA, 1983
[29] D.H. TIMIAN, J. LACETERA, C. WERTMAN, M.R. HIEB, A. TOLK, K. BRANDT – Report Out of the C4I Study Group, Simulation Interoperability Standards Organization, 2000 Fall SIW, http://www.sisostds.org/index.php?tg=articles&idx=More&topics=51&article=166
[30] H.K. WEISS – Some Differential Games of Tactical Interest and the Value of a Supporting Weapon System, Operations Research, Vol. 7, No. 2, pp. 180-196, Mar.-Apr. 1959