Front MatterSource: Operations Research, Vol. 19, No. 3 (May - Jun., 1971), pp. i-viPublished by: INFORMSStable URL: http://www.jstor.org/stable/168892 .
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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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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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the Advanced Research Department RESEARCH ANALYSIS CORPORATION
sponsors a 5-day short course in
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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:
MODEL BUILDING DECISION ALGORITHMS
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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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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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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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(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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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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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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