Mathematical Methods in Defense Analyses

419 Pages·2000·14.09 MB·English

by  Air Force Institute of Technology J. Przemieniecki

7
3
1
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

7
3
1
62 Mathematical Methods
8
4.
4/
51 in Defense Analyses
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

7
13 This page intentionally left blank
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

Mathematical Methods
in Defense Analyses
7
13 Third Edition
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or J. S. Przemieniecki, Ph.D., D.Sc.
a.
a
ai
c.
ar Air Force Institute of Technology
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
oa EDUCATION SERIES
nl
w
o J. S. Przemieniecki
D
Series Editor-in-Chief
Air Force Institute of Technology
Wright-Patterson Air Force Base, Ohio
Published by
American Institute of Aeronautics and Astronautics, Inc.
1801 Alexander Bell Drive, Reston, VA 20191-4344
Purchased from American Institute of Aeronautics and Astronautics

7
3
1
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
PUI MATLAB™ is a registered trademark of The Math Works, Inc.
U
at I American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia
y
ar
br 1 2 3 45
Li
y
ersit Library of Congress Cataloging-in-Publication Data
v
ni
U Przemieniecki, J. S.
y
b Mathematical methods in defense analyses, 3rd Edition / J. S. Przemieniecki
d
de p. cm.—(AIAA education series)
a
o Includes bibliographical references and index.
nl
w 1. Military art and science-Mathematical models. 2. Operations research.
o
D I. Title II. Series.
U104.P859 2000 355.4'0r5118-dc21 00-033138
ISBN 1-56347-397-6 (alk. paper)
Copyright © 2000 by the American Institute of Aeronautics and Astronautics, Inc. All rights
reserved. Printed in the United States of America. No part of this publication may be repro-
duced, distributed, or transmitted, in any form or by any means, or stored in a data base or
retrieval system, without the prior written permission of the publisher.
Data and information appearing in this book are for informational purposes only. AIAA is not
responsible for any injury or damage resulting from use or reliance, nor does AIAA warrant
that use or reliance will be free from privately owned rights.
Purchased from American Institute of Aeronautics and Astronautics

AIAA Education Series
7
13 Editor-in-Chief
2
6
4.8 John S. Przemieniecki
4/
1 Air Force Institute of Technology (retired)
5
2
0.
1
OI:
D
g |
or
a. Editorial Board
a
ai
arc. Earl H. Dowell Michael L. Smith
p:// Duke University U.S. Air Force Academy
htt
2 |
1
0
2
30, Eric J. Jumper Peter J. Turchi
ber University ofNotre Dame Ohio State University
m
e
pt
e
S
n
o
UI Robert G. Loewy David M. Van Wie
P
U Georgia Institute of Technology Johns Hopkins University
at I
y
ar
br
Li
y Michael N. Mohaghegh Anthony J. Vizzini
ersit The Boeing Company University of Maryland
v
ni
U
y
b
d
de Conrad F. Newberry Jerry Wallick
a
o
nl Naval Postgraduate School Institute for Defense Analysis
w
o
D
Terrence A. Weisshaar
Purdue University
Purchased from American Institute of Aeronautics and Astronautics

7
13 This page intentionally left blank
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

7
3
1
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
a.or Dedicated to the freedom fighters throughout the world and those who made the
a
ai ultimate sacrifice for freedom and human rights.
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

7
13 This page intentionally left blank
2
6
8
4.
4/
1
5
2
0.
1
OI:
D
g |
or
a.
a
ai
c.
ar
p://
htt
2 |
1
0
2
0,
3
er
b
m
e
pt
e
S
n
o
UI
P
U
at I
y
ar
br
Li
y
ersit
v
ni
U
y
b
d
e
d
a
o
nl
w
o
D
Purchased from American Institute of Aeronautics and Astronautics

Foreword
The publication of Mathematical Methods in Defense Analyses by John
Przemieniecki—an important contribution in the Education Series of the American
Institute of Aeronautics and Astronautics—marks a significant step in the com-
37 ing of age of the application of mathematical and scientific methods in defense
1
62 analyses. The initial major impulse for this movement goes back to the famous
8
4. operations-research triumphs of World War II. Originally classified, many of the
4/
51 more relevant techniques have continued, for a variety of reasons, to be less ac-
2
10. cessible than is desirable or convenient, especially for the beginning student. This
OI: book will do much to fill the gap.
D
g | As both Senior Dean of the Air Force Institute of Technology, and the Editor-
or in-Chief of the AIAA Education Series of the American Institute of Aeronautics
a.
aia and Astronautics, Dr. Przemieniecki is exceptionally well qualified to translate
c.
ar the lore of his subject into a useful text, and to aid the student he has augmented
p:// the standard material with his own work. His chapters give techniques applicable
htt
2 | to analyses of reliability and many different combat processes such as search,
01 detection, allocation of effort, and attrition. To test its effectiveness, the text has
2
0, been used in draft form by students at the Air Force Institute of Technology.
3
er The reader will find it rewarding and especially important to reflect on the words
b
m
e of the final chapter on modeling. It forcefully reminds us that not all mathematical
pt
Se treatments of a subject are useful, and not all models are good representations
on of reality. Moreover, there are many important aspects of combat where our un-
UI derstanding is inadequate for a quantitative representation. Dr. Przemieniecki's
P
U
at I final chapter thus brings into focus the current resurgence of interest in model
y verification and validation.
ar
br
Li
y Clayton J. Thomas
ersit Chief Scientist
v
ni Studies and Analyses
U
y Headquarters United States Air Force
b
ed Washington, DC, 1990
d
a
o
nl
w
o
D
IX