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Front Matter Source: Operations Research, Vol. 19, No. 3 (May - Jun., 1971), pp. i-vi Published by: INFORMS Stable URL: http://www.jstor.org/stable/168892 . Accessed: 09/05/2014 20:01 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . INFORMS is collaborating with JSTOR to digitize, preserve and extend access to Operations Research. http://www.jstor.org This content downloaded from 195.78.109.51 on Fri, 9 May 2014 20:01:41 PM All use subject to JSTOR Terms and Conditions
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Page 1: Front Matter

Front MatterSource: Operations Research, Vol. 19, No. 3 (May - Jun., 1971), pp. i-viPublished by: INFORMSStable URL: http://www.jstor.org/stable/168892 .

Accessed: 09/05/2014 20:01

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

INFORMS is collaborating with JSTOR to digitize, preserve and extend access to Operations Research.

http://www.jstor.org

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Page 2: Front Matter

The Journal of the Operations Research Society of America

May-June 1971 VOLUME 19 NUMBER 3

Pages 559-844

PUBLISHED BIMONTHLY BY THE

OPERATIONS RESEARCH SOCIETY OF AMERICA

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Page 3: Front Matter

OPERATIONS RESEARCH The Journal of the Operations Research Society of America

EDITOR

HUGH J. MISER, University of Massachusetts MEs. HELEN N. WILSON, Executive Editorial Assistant

Address all correspondence to Box 525, Windsor, CT 0609,5

ASSOCIATE EDITORS EGON BALAS, Carnegie-Mellon University, Pitts-

burgh, Pennsylvania RICHARD W. COTTLE, Stanford University, Stan-

ford, California THOMAS B. CIRABILL, University of North Caro-

lina, Chapel Hill, N.C. WALTER L. DEEMER, U.S. Arms Control & Dis-

armament Agency, Washington, D.C. JAMES M. DOBwiIE, Arthur D). Little, Inc., Cam-

bridge, Massachusetts LAWRENCE J. DONDWRO, Research Analysis Corpo-

ration, McLean, Virginia RICHARD V. EVANS, University of Illinois, Urbana,

Illinois RAOUL J. FREEMAN, Systems Applications Inc.,

Beverly Hills, California MURRAY GREYSON, Stanford Research Institute,

Menlo Park, California CARL M. HARRIS, The George Washington Uni-

versity, Washington, D.C. JOSEPH 0. HARRISON, JR., National Bureau of

Standards, Washington, ).C. HARRY P. HATRY, The Urban Institute, 2100 M

St., N.W., Washington, D.C. WALTER HELLY, The Polytechnic Institute of

Brooklyn, Brooklyn, N.Y. ROBERT HERMAN, Ed., Transportalion Sience,

General Motors Technical Center, Warren, Michigan

WILLIAM J. HORVATH, University of Michigan, Ann Arbor, Michigan

RONA.) A. HOWARD, Stanford University, Stan- ford, California

T. C. HIT, University of Wisconsin, Madison, Wisconsin

JULIAN KE.ILSON, University of Rochester, Roch- ester, N.Y.

M. J. L. KIRBY, Dalhousie University, Halifax, N.S., Canada

WALTER R.. LYNN, Cornell University, Ithaca, N.Y.

KNEALE. T. MARSHALL2 Naval Postgraduate School, Monterey, California

CORDELL B. MOORE, General Dynamics, Fort Worth, Texas

MARCEL F. NEUTS, Purdue University, West Lafayette, Indiana

PAUL RANDOLPH, New Mexico State University, Las Cruces, New Mexico

WILLIAM A. REINKE, The Johns Hopkins Uni- versity, Baltimore, Maryland

MAURICE W. SASIENI, Unilever House, London, E.C.4, England

MARTIN K. STARR, Ed., Management Science, Columbia University, New York, N.Y.

BENJAMIN H. STEVENS, Regional Science Research Institute, Philadelphia, Pa.

CLAYTON J. THOMAS, Operations Analysis, USAF Hdq., Washington, D.C.

ARMAND B. WEISS, Ed., OR/SA Today, Logistics Management Institute, Washington, D.C.

WILLIAM E. WILKINSON, Duke University,, Dur- ham, North Carolina

MANUSCRIPTS of papers and Letters to the Editor should be submitted to the Editor or to one to the Associate Editors. Submission of a manu- script is considered to be a representation that it has been neither copyrighted nor published, that it is not being submitted for publication elsewhere, and that, if the work results from a government contract, it has been released for open publica-

tion. Announcements should be sent to the Editor of the BULLETIN, PAUL GRAY, Stanford Re- search Institute, Menlo Park, California 04026; books for review to the Editor of The Analyst's Bookshelf, WALTER HELLY, The Polytechnic Insti- tute of Brooklyn, 333 Jay St., Brooklyn, N.Y. 11201.

MANAGING EDITOR AND ADVERTISING MANAGER CHARLES P. CHAnSEY 4600 Dorset Avenue

Chevy Chase, Maryland 20015

Copyright @ 1971 by the Operations Research Society of America.

Published bimonthly by the Operations Research Society of America at 428 East Preston Street Baltimore, Maryland 21202.

Second-class postage paid at the Post Office at Baltimore, Maryland 21202, and at additional mailing offices.

Subscription orders should be addressed to the Operations Research Society of American, 428 East Preston Street, Baltimore, Maryland 212092.

Subscription Rate: $12.50 per volume ($13.50 out- side U. S. and Canada).

Back issues: Volumes 1 through 13 are avail- able only from Kraus Reprint Corporation, 16 East 46th Street, New York, New York 10017. Volumes 14 to date are available from ORSA at the above address.

Reprints of individual articles are not available from the SOCIETY.

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Page 4: Front Matter

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Descriptive brochure available. For information write or call Mr. W. Charles Mylander

RAC SERVICES In the area of quantitive decision analysis, RAC has expertise in:

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OF MODEL ANALYSIS

In all the foregoing areas RAC can offer to private enterprise, in addition to government agencies,

CONSULTING SERVICE LONG-TERM CONTRACTURAL COMMITMENTS

Address inquiries to Mr. John F. Klar, Jr.

Research Analysis Corporation McLean, Virginia 22101 Area Code 703 893-5900

METROPOLITAN WASHINGTON, D.C. AREA

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Page 5: Front Matter

OPERATIONS, RESEARCH THE UNIVERSITY OF SYDNEY (AUSTRALIA)

AND LECTURESHIP IN MECHANICAL

SYSTEMS ANALYST ENGINEERING

The City of Peoria Police Department has an open- ing for an experienced research analyst. Duties include studies of manpower deployment and re- Applicants to be well qualified in source allocation and analysis of specific crime some field of mechanical engineering patterns to develop tactics and methods of and have active interest in research crime control. Salary $11,258 to $13,000 de- a u pending upon experience and training. Excellent and undergraduate and postgraduate benefits. teaching. Other things being equal, Send resume to Personnel Director, Room 304, preference to candidates with inter- City Hall, 419 Fulton St., Peoria, Illinois 61602. ests in industrial engineering or pro-

duction science. For information An Equal Opportunity Employer write to Registrar, University of

Sydney, N.S. W. 2006, A ustralia.

OPERATIONS RESEARCH R?CRUITIN?.i.. ENGINEER

A Problem? Ph.D. in Operations Research, Bachelor Degree in Industrial, Mechanical or Chemi- cal Engineer, 0-3 years experience. Addi- tional training in Economics or M.B.A.-an LET THE SOCIETY PUBLICATIONS asset. SERVE YOU.

The activity is in support of the Physical' Distribution System Operation of a major X

chemicals and plastics producer, and is re- lated to the optimization of the Inventory, Transportation and Customer Service func- or Telephone tions. Attractive New Jersey location, R & W o D Center. All inquiries confidential. Please C.P.CHADSEY,AdvertisingManager submit resume to: OPERATIONS RESEARCH

Box 71 01OPRTOSR EAC Operations Research 4600 Dorset Avenue 428 East Preston Street Chevy Chase Md. 20015 Baltimore, Maryland 21202 , 2

Telephone: 656-2593

An Equal Opportunity Employer

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Page 6: Front Matter

Contents OPERATIONS RESEARCH

Volume 19 May-June 1971 Number 3

MILITARY PROBLEMS STEPHEN M\f. POLLocK-Search Detection and Subsequent Action: Some

Problems on the Interfaces .................................. 559 ROLAND V. TIEDE AND LEWIS A. LEAKE-A Method for Evaluating the

Combat Effectiveness of a Tactical Information System in a Field Army ............................................... 587

FREDERIC A. MIERCORT AND RICHARD M. SOLAND Optimal Alloca- tion of Missiles against Area and Point Defenses ............... 605

CRAIG C. SHERBROOKE-An Evaluator for the Number of Operationally Ready Aircraft in a Multilevel Supply System ................. 618

HAROLD J. BREAUX AND LYNN S. MOHLER-A Computational Proce- dure for a Class of Coverage Problems for Multiple Shots ......... 636

FRANK E. GRUBBS, HAROLD J. BREAUX, AND HELEN J. COON-Ap- proximation Procedures and Some Key Results for Estimating Ex- pected Target Damage ...................................... 645

CHARLES N. BRESSEL-Expected Target Damage for Pattern Firing .... 655 HERMANN JOSEF HELGERT-On the Computation of Hit Probability ... 668 JACK NADLER AND JOAN EILBOTT-Optimal Sequential Aim Correc-

tions for Attacking a Stationary Point Target .................. 685 STEPHEN R. KIMBLETON-Attrition Rates for Weapons with Markov-

Defendent Fire . ........................... .............. 698 TECHNICAL NOTES ............................................. 707

PAUL J. SCHWEITZER-Threshold Probabilities when Searching for a Mov- ing Target .................................................... 707

JAMES G. TAYLOR-A Note on the Solution to Lanchester-Type Equations with Variable Coefficients ....................................... 709

LETTER TO THE EDITOR ......................................... 713 ROBERT L. BOVEY-Military Intelligence Analysis in Lilliput .......... 713

U. YECHIALI AND P. NAOR-Queuing Problems with Heterogeneous Ar- rivals and Service ......................................... 722

DONALD GROSS AND CARL M. HARRIS-On One-for-One-Ordering In- ventory Policies with State-Dependent Leadtimes ................ 735

(Continued on next page)

Composed and Printed by Waverly Press Inc. Baltimore, Maryland 21202

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Page 7: Front Matter

(Contents-continued)

R. M. SIMON-Stationary Properties of a Two-Echelon Inventory Model for Low Demand Items ..................................... 761

J. B. WILLIAMS-Stability in Noncooperative Games ................. 774

PAUL J. SCHWEITZER-Multiple Policy Improvements in Undiscounted Markov Renewal Programming .............................. 784

MICHAEL M. CONNORS AND WILLARD I. ZANGWILL-COst Minimiza- tion in Networks with Discrete Stochastic Requirements .......... 794

LEONARD J. PARSONS AND FRANK M. BASS-Optimal Advertising- Expenditure Implications of a Simultaneous-Equation Regression Analysis................................................. 822

THE ANALYST'S BOOKSHELF ..................................... 822

REVIEWS....................................................... 832

BOOKS RECEIVED ............................................... 838

ANNOUNCEMENT............................................... 842

INFORMATION FOR CONTRIBUTORS ............................... 843

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Page 8: Front Matter

Operations Research Society of America 1971-1972

OFFICERS OF THE SOCIETY

President: ROBERT E. MACHOL, Graduate School of Management, Northwestern University, 339 East Chicago Avenue, Chicago, IL 60611

Vice President: LESLIE C. EDIE, The Port of New York Authority, 111 Eighth Avenue, New York, NY 10011

Secretary: ROBERT M. OLIVER, Operations Research Center, 3115 Etcheverry Hall, University of California, Berkeley, CA 94720

Treasurer: DAVID M. BOODMAN, Arthur D. Little, Inc., Acorn Park, Cambridge, MA 02140

COUNCIL OF THE SOCIETY

1969-72 Past President: JOSEPH H. ENGEL, Systems Engineering Department, College of Engineering, University of Illinois at Chicago Circle, Box 4348, Chicago, IL 60680

1970-73 Past President: THOMAS E. CAYWOOD, Caywood-Schiller Division, A. T. Kearney & Company, 625 N. Michigan Avenue, Chicago, IL 60611

1971-74 Past President: W. EDWARD CUSHEN, Technical Analysis Division, Na- tional Bureau of Standards, Washington, DC 20234

1969-72

JACK R. BORSTING, Department of Operations Research & Administrative Sciences, Naval Postgraduate School, Monterey, CA 93940

CLAYTON J. THOMAS, Headquarters USAF, Operations Analysis, AF/OAR, Washington, DC 20330

1970-73

CLINTON J. ANCKER, JR., Department of Industrial & Systems Engineering, University of Southern California, Los Angeles, CA 90007

JOHN D. C. LITTLE, Operations Research Center, 24-215, Massachusetts In- stitute of Technology, Cambridge, MA 02139

1971-74

GEORGE L. NEMHAUSER, Department of Operations Research, Upson Hall, Cornell University, Ithaca, NY 14850 THOMAS E. OBERBECK, Computing & Software, Incorporated, 1200 Robert Road, Slidell, LA 70458

BUSINESS OFFICE

Requests for membership information and applications as well as subscriptions and orders for back issues of Society publications should be addressed to:

Operations Research Society of America 428 East Preston Street Baltimore, Maryland 21202 (301) 727-2870

ADVERTISING MANAGER

CHARLES P. CHADSEY, 4600 Dorset Avenue, Chevy Chase, MD 20015 (301) 656-2593

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Page 9: Front Matter

EDITORS OF ORSA PUBLICATIONS

OPERATIONS RESEARCH HUGH J. MISER, Editor, Post Office Box 525, Windsor, CT 06095. WALTER HELLY, Review Editor, The Polytechnic Institute of Brooklyn, 333 Jay Street, Brooklyn, NY 11201

TRANSPORTATION SCIENCE ROBERT HERMAN, Editor, GM Research Laboratories, 12 Mile and Mound Roads, Warren, MI 48090

OR/SA TODAY ARMAND WEISS, Editor, Logistics Management Institute, 4701 Sangamore Road, Washington, DC 20016

PUBLICATIONS IN OPERATIONS RESEARCH DAVID B. HERTZ, Editor, McKinsey & Company, Inc., 245 Park Avenue, New York, NY 10017

COMMITTEES AND REPRESENTATIVES

Amendments Committee JACK BORSTING, Chairman, Department of Operations Research and Administra- tive Sciences, Naval Postgraduate School, Monterey, CA 93940

Education Committee DAVID A. SCHRADY, Chairman and Director of Visiting Lectureship Program, Department of Operations Research and Administrative Sciences, Naval Post- graduate School, Monterey, CA 93940

Geographical Section Committee THOMAS R. TUCKER, Chairman, Montgomery Ward & Company, 140 South State Street-SS4, Chicago, IL 60603

Lanchester Prize Committee JOSEPH ENGEL, Chairman-1970, Systems Engineering Department, College of Engineering, University of Illinois at Chicago Circle, Box 4348, Chicago, IL 60680 THOMAS E. CAYWOOD, Chairman-1971, Caywood-Schiller Associates, 401 N. Michigan Avenue, Chicago, IL 60611

Meetings Committee LEO ROGIN, Chairman, U.S. Naval Air Development Center, SAED (SR), Warminster, PA 18974

Membership Committee JOHN HONIG, Chairman, 7701 Glenmore Spring Way, Bethesda, MD 20034

Nominating Committee KENNETH YARNOLD, Chairman, P.O. Box 2232, San Ysidro, CA 92073

Publications Committee PAUL GRAY, Chairman, Stanford Research Institute, Menlo Park, CA 94025

Student Affairs Committee STEPHEN POLLOCK, Chairman, Department of Industrial Engineering, Uni- versity of Michigan, Ann Arbor, MI 48104

Technical Sections Committee BURTON V. DEAN, Chairman, Department of Operations Research, Case Western Reserve University, University Circle, Cleveland, OH 44106

Representative to IFORS JOSEPH ENGEL, Systems Engineering Department, College of Engineering, University of Illinois at Chicago Circle, Box 4348, Chicago, IL 60680

Representative to NRC HUGH J. MISER, School of Engineering, University of Massachusetts, Amherst, MA 01002

Committee for Liaison with the AAAS WALTER L. DEEMER, Chairman & Representative, 3624 Appleton Street, NW, Washington, DC 20008 GEORGE W. MORGENTHALER, Vice Chairman & Representative, 4859 Tule Lake Drive, Littleton, CO 80123

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