Return to Bibliography ListAlliance Security: NATO and the
No-First-Use Question. John D. Steinbruner and Leon V.
Sigal, editors. Washington, Brookings Institution, 1983. 222 p.
The Arithmetic of Force Planning, by William W. Kaufmann, pp
208-216. Lanchester's equations used in a model of the
NATO-Warsaw Pact balance by defense analyst Wm. Kaufmann.
Book call no.: 355.031091821 A436
Dupuy, Trevor N. (Col, USA, Ret). Numbers,
Predictions and War: The Use of History To Evaluate and Predict
the Outcome of Armed Conflict. Revised Edition. Fairfax,
VA, Hero Books, 1985. 256 p.
The QJM (Quantified Judgement Method) and Lanchester's Equations,
pp 148-150.
Book call no.: 355 D945n 1985
Epstein, Joshua M. The Calculus of
Conventional War; Dynamic Analysis Without Lanchester Theory.
Washington, Brookings Institution, 1985. 31 p. (Studies in
Defense Policy)
"In this study, Joshua Epstein contends that Lanchester's
equations fail to capture warfare's basic dynamics and present a
fundamentally misleading picture of war. He then presents new,
alternative equations of his own. These, he contends, more
accurately represent the core dynamics to which Lanchester theory
is oblivious." From the Foreword by Bruce K. McLaury.
Book call no.: 355.0332 E64c
Epstein, Joshua M. Strategy and
Force Planning: The Case of the Persian Gulf.
Washington, Brookings Institution, 1987. 169 p.
Appendix E: Critique of Lanchester Theory, pp146-155.
Book call no.: 355.0330536 E64s
International Conference on Operational
Research (8th, Toronto Canada, Jun 19-23, 1978). Operational
Research '78 Proceedings of the Eighth IFORS International
Conference on Operational Research. Edited by K.B.
Haley. Amsterdam, North-Holland Pub Co, 1979. 1114 p.
Recent Developments in the Lanchester Theory of Combat, by James
G. Taylor, pp 773-806. References, pp 803-806.
Book call no.: 658.072 I61p vol.8 1978
Lanchester, F. W. Aircraft in
Warfare: The Dawn of the Fourth Arm. London, Constable
and Co, Ltd, 1916. 222 p.
Chapter V: The Principle of Concentration; The Value of Numerical
Strength; The N-Square Law. Chapter VI: The Principle of
Concentration--(Continued); The N-Square Law in Its Application;
Applications of the N-Square Law in Naval Warfare; British Naval
Tactics in 1805; Nelson's Tactical Scheme--The N-Square Law at
Trafalgar.
Book call no.: 629.13 L22
Mathematics of Conflict,
edited by Martin Shubik. New York, North-Holand, 1983. 186 p.
(North-Holland Systems and Control Series, Volume 6)
Lanchester Attrition Processes and Theater-Level Combat Models,
by Alan F. Karr, pp 89-126 (References, pp 123-126).
Book call no.: 355.020151 M426
Morse, Philip M. and Kimball, George E. Methods
of Operations Research. First Edition Revised. New York,
Published jointly by the Technology Press of MIT and John Wiley
& Sons, 1951. 158 p.
Lanchester's Equations, pp 63-77. "The most influential
postwar operations research statement of the Lanchester
equations"...statement by John W.R. Lepingwell, in
International Security, Summer '87, p 89.
Book call no.: 507.2 M886m
Systems Analysis and Modeling in
Defense: Development, Trends, and Issues, edited by
Reiner K. Huber. New York, Plenum Press, 1984. 913 p.
Based on a NATO Defense Research Group symposium on Modeling and
Analysis of Defense Processes, held July 27-29, 1982, in
Brussels, Belgium. Extensions to Lanchester Theory of Combat, by
P.J. Haysman and K. Wand, pp 577-585.
Book call no.: 355.480151 S995
Taylor, James G. Force-on-Force
Attrition Modelling. Arlington, VA, Operations Research
Society of America, Military Applications Section, 1980. 160 p.
Appendix A: Annotated Short Bibliography on Lanchester-Type
Combat Models, pp 133-145. Appendix B: Comprehensive Bibliography
on the Lanchester Theory of Combat, pp 146-160.
Book call no.: 355.4072 T243f
Taylor, James G. Lanchester Models
of Warfare. Arlington, VA, Operations Research Society
of America, Military Applications Section, 1983. 2 vols.
Book call no.: 355.00151 T243L
The World of Mathematics: Volume
Four A Small Library of the Literature of Mathematics from
A'h-mose the Scribe to Albert Einstein, presented with
Commentaries and Notes by James R. Newman. New York,
Simon and Schuster, 1956. pp 2027-2535.
Mathematics in Warfare: The Principle of Concentration; The
"N-Square" Law, by Frederick William Lanchester, pp
2138-2157.
Book call no.: 510.82 N552w vol.4
Latchaw, John H. (Capt, USAF). A
Lanchester Model for Air Battles. Wright-Patterson AFB,
OH, Feb 1972. 78 p.
Chapter II. Lanchester Theory, pp 4-20. Thesis (M.S.)--Institute
of Technology. School of Engineering.
Doc. call no.: M-U 39567-5 L351L AJLanchester
Theory & Equations
Rand Corp. Contributions to
Lanchester Attrition Theory, by R.N. Snow. Santa Monica,
CA, Apr 1948. 33 p. (USAF Project MX-791; RA-15078)
"Lanchester's differential equations and subsequent
modifications sought to describe combat attrition of forces
composed of a single type of element. RAND's efforts have been
directed toward a generalization of Lanchester's equations to
include combat between heterogeneous forces. The information
deals with the first phase of a number of studies being conducted
by RAND on general attrition theory."
Doc. call no.: M-U 30352 no.15078
Technical Operations, Inc. Combat
Operations Research Group. Historical Data and
Lanchester's Theory of Combat. Fort Belvoir, VA, Aug
1964. 132 p.
Doc. call no.: M-U 39223-21 no.190
Bach, Ralph E., Jr., Dolansky, Ladislav,
and Stubbs, Harold L. Some Recent Contributions to the
Lanchester Theory of Combat. Operations Research
10:314-326 May-Jun '62.
References, p 326.
Deitchman, S. J. A Lanchester Model of
Guerrilla Warfare. Operations Research 10:818-827
Nov-Dec '62.
References, p 827.
Dolansky, Ladislav. Present State of the
Lanchester Theory of Combat. Operations Research
12:344-358 Mar-Apr '64.
Bibliography, pp 356-358
Dupuy, T. N. (Col, USA, Ret). Can We
Rely Upon Computer Combat Simulations? Armed Forces
Journal International 125:58+ Aug '87.
"...the weight of the data from 601 battles since 1600
strongly suggests that there is no direct relationship between
strength ratios and either advance or attrition rates. It is
clear that increasing the strength of the stronger force in a
battle is not likely to increase either its attrition-causing
capability, or its rate of advance. What is the effect of this on
the famous Lanchester equations which provide the theoretical
basis for the attrition methodologies of most of the models in
current use? ...my evidence merely shows that the Lanchester
equations are not being used properly in a fashion that Frederick
W. Lanchester would approve in these models."
Engel, J. H. A Verification of
Lanchester's Law. Operations Research Society of
America Journal 2:163-171 May '54.
"The validity of Lanchester's equations is demonstrated in
an actual combat situation where U.S. forces captured the island
of Iwo Jima."
Fain, Janice B. The Lanchester Equations
and Historical Warfare: An Analysis of Sixty World War II Land
Engagements. History, Numbers, and War 1:34-52 Spring
'77.
Notes, pp 43-44.
Helmbold, Robert L. A Modification of
Lanchester's Equations. Operations Research
13:857-859 Sep-Oct '65.
Homer-Dixon, Thomas F. A Common
Misapplication of the Lanchester Square Law: A Research Note.
International Security 12:135-139 Summer '87.
Kupchan, Charles A. Setting Conventional
Force Requirements: Roughly Right or Precisely Wrong? World
Politics 41:536-578 Jul '89.
Essay review on the books, "Strategy and Force Planning: The
Case of the Persian Gulf," by Joshua Eqstein, and
"Conventional Forces and American Defense Policy,"
edited by Steven Miller. The Lanchester family of equations
discussed, p539; pp555-557.
The Lanchester Equations: Lanchester's
Original Article with a Commentary by Trevor N. Dupuy. History,
Numbers, and War 1:142-150 Fall '77.
Commentary: History and the Validity of the Lanchester
Hypotheses, by Trevor N. Dupuy, pp 146-150.
Lepingwell, John W. R. Lanchester
Revived? A Critique of Lanchester Modeling in U.S. Army Guard and
Reserve: Rhetoric, Realities, Risks. Defense Analysis
6:399-404 Dec '90.
Lepingwell, John W R. The Laws of
Combat? Lanchester Reexamined. International Security
12:89-134 Summer '87.
Appendix: Solutions for the Lanchester equations, pp 128-134.
Excellent notes throughout the article.
Tankins, Edwin S. (Maj, USAR). War
Gaming. Military Review 47:88-96 '67.
A general description of war gaming including brief explanations
of the Lanchester Model and model equations.
Taylor, James G. Lanchester-Type Models
of Warfare and Optimal Control. Naval Research
Logistics Quarterly 21:79-106 Mar '74.
References, pp 104-106.
Taylor, James G. On the Relationship
Between the Force Ratio and the Instantaneous Casualty-Exchange
Ratio for Some Lanchester-Type Models of Warfare. Naval
Research Logistics Quarterly 23:345-352 Jun '76.
References, p 352.
Taylor, James G. Optimal Commitment of
Forces in Some Lanchester-Type Combat Models. Operations
Research 27:96-114 Jan-Feb '79.
References, pp 113-114.
Taylor, James G. Solving Lanchester-Type
Equations for 'Modern Warfare' with Variable Coefficients. Operations
Research 22:756-770 Jul-Aug '74.
References, pp 769-770.
Taylor, James G. and Brown, Gerald G. Annihilation
Prediction for Lanchester-Type Models of Modern Warfare. Operations
Research 31:752-771 Jul-Aug '83.
References, pp 769-771.
Taylor, James G. and Comstock, Craig. Force-Annihilation
Conditions for Variable-Coefficient Lanchester-Type Equations of
Modern Warfare. Naval Research Logistics Quarterly
24:349-371 Jun '77.
References, pp 370-371.
Taylor, James G. and Parry, Samuel H. Force-Ratio
Considerations for Some Lanchester-Type Models of Warfare. Operations
Research 23:522-533 May-Jun '75.
References, pp 532-533
Weiss, Herbert K. Lanchester-Type Models
of Warfare, in Proceedings of the First International
Conference on Operational Research, Oxford 1957. Baltimore, MD,
Operations Research Society of America, Dec 1957, pp 82-99.:
Located in Vertical File under subject heading: Wargaming.
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