Back Matter

Back MatterSource: Operations Research, Vol. 13, No. 1 (Jan. - Feb., 1965), pp. 168-xxivPublished by: INFORMSStable URL: http://www.jstor.org/stable/167969 .

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A announcements SCHEDULE OF FUTURE SOCIETY MEETINGS

No. Dates Location Chairman Deadline for abstracts(a)

27 May 6-7, 1965 Boston DAVID M. BOODMAN January 1, 1965 4 Linmoor Terrace Lexington 73, Mass.

28 November, 1965 Houston JAMES A. BIRDWELL July 1, 1965 P. 0. Box 8423 Southmore Station Houston 4, Texas

29 May, 1966 Los Angeles JOHN E. WALSH January 1, 1966 System Development Corporation 2500 Colorado Avenue Santa Monica, Calif.

30 October, 1966 Chapel Hill GEORGE E. NICHOLSON, JR. June 1, 1966 Dept. of Statistics University of North Carolina Chapel Hill, N. C.

(a) Abstracts of papers should be submitted to the Chairman of the desired meeting.

T HE Publications Committee of ORSA has invited the Washington Operations Research Council (WORC) to edit an issue of Operations Research, to be de-

voted exclusively to applications and case histories. Although the history of Lan- chester Prize papers is heavily oriented to applications, the general literature gives a stronger methodological orientation; this issue is an experiment in determining whether there is a good supply of such papers, and whether there is a real demand for them.

WORC has accepted the invitation, and has named W. EDWARD CUSHEN as Guest Editor for the issue. He will work with a WORC Editorial Board, and a group of Associate Editors. Papers will be reviewed in accordance with standards established for Operations Research, with the exception that ingenuity and success of applications will dominate criteria related to methodology. The WORC Editorial Board for this issue consists of ALFRED BLUMSTEIN, WORC's President, as Chair- man, EDWARD CUSHEN, MURRAY GREYSON, BOYD LADD, and WINSTON RILEY III.

We now look to the operations-research community to demonstrate that suffi- cient good applications exist to justify such an outlet. We solicit applications papers to be published in this special issue, to be received by July 31, 1965. Manuscripts should be submitted to:

DR. W. EDWARD CUSHEN

Institute for Applied Technology National Bureau of Standards Washington, D. C. 20234

168



Problem-Makers Have a Future at Bellcomm Bellcomm's highly professional and programming, mathematics,

staff does systems engineering engineering, flight mechanics, for the National Aeronautics and physics, chemistry, propulsion, Space Administration's manned aerodynamics and aeronautical space flight effort. engineering.

It solves problems. Bellcomm welcomes the resu- It also thinks up problems. De- mes of highly qualified thinkers.

fines them. Uncovers them. Address: Mr. N. W. Smusyn, Per- sonnel Director, Bellcomm, Inc.,

If setting up problems pleases Room 1300-H, 1100 17th St., N. W., you as much as solving them, Washington, D. C. 20036. you might find work at Bellcomm . ' more interesting-more reward- We'll give your resume a prompt ing-and more unusual. Fields and careful review. of interest include computing An equal opportunity employer.

(iX Bellcomm, Inc. A Bell System Company

xiii



OPERATIONS RESEARCH

SCIENTISTS

All degree levels are sought to fill the needs of the many employers in every conceivable field who have adopted this technique for the solution of the varied problems that beset the many facets of all industry.

Professional men well qualified in mathematics, statistics, economics and in the physical, engineering and biological sciences are highly desirable.

Submit your resume and outline your career objectives and let us help you reach your goat.

BARNEY CORRIGAN, Director Theoretical Sciences Division

CADILLAC ASSOCIATES, INC. 29 E. Madison Bldg. FI 6-9400 Chicago 2, Illinois

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L> NEW FROM McGRAW-HILL QUANTITATIVE APPROACHES TO MANAGEMENT

By RICHARD I. LEVIN and C. A. KIRKPATRICK, both of the University of North Carolina. Off Press. Treats the most common techniques of operations research which can be understood by per- sons who have studied only high school algebra. All other math needed is developed within the text.

PROBABILITY, RANDOM VARIABLES, AND STOCHASTIC PROCESSES

By ANTHANASIOS PAPOULIS, University of California, Los Angeles. McGraw-Hill System Sciences Series. 512 pages, $12.75. Offers a treatment of probability theory as a basic discipline. Rigorous enough to serve as a text in courses offered by departments of mathematics.

COMMUNICATION NETS: Stochastic Message Flow and Delay

By LEONARD KLEIN ROCK, University of California, Los Angeles, Lincoln Laboratory Publications. 209 pages, $12.50. Focuses attention on the stochastic flow of message traffic through connected networks of communication centers. Emphasizes the operational aspects of communication systems.

EXAMINATION COPIES AVAILABLE ON REQUEST

McGRAW-HILL BOOK COMPANY 330 WEST 42ND STREET/NEW YORK, N. Y. 10036

xiv



The obvious

may be suspect Elimination of false assumptions is vital to solving problems correctly. Truth or truism, this is why the ability to question creatively is required of all professional staff members of the Center for Naval Analyses of The Franklin Institute.

CNA is a private scientific organization engaged in operations research and broad-based studies for the United States Navy. Common to these tasks is the goal of providing Navy executives with analytical assistance to aid decisions.

At CNA, a small group of physical scientists, operations analysts, mathematicians, and research engineers apply their analytical talents to problems of undersea, air, surface, am- phibious, electronic, and nuclear warfare and to matters of tactics, strategy, and logistics.

A few CNA staff appointments are available to scientists of superior competence. For more information, write:

Director CENTER FOR NAVAL ANALYSES Dept. RSJ 1401 Wilson Blvd., Arlington 9, Va.

CENTER FOR NA VAL ANAL YSES of The Franklin Institute

OEG * Operations Evaluation Group INS * Institute of Naval Studies An equal opportunity employer NAVWAG * Naval Warfare Analysis Group

XV



.... Announce Appointments For

L][ELIN OPERATIONS

Li INSTITUTE ANALYSTS LABORATORIES

The Operations Research Division of The Franklin Institute is expanding its professional staff in the area of military operations analysis and cost effectiveness studies. The design of systems involving the in- teraction of men and machines are of particular interest. Positions are open for Operations Research Scientists, Economists & Systems Design- ers, with experience in the analysis, simulation, and synthesis of problems associated with the control of military operations.

Current projects include the analysis of military command, control and communication systems, the assessment of air traffic control systems, and the development of mathematical models for psychomotor performance in control tasks and decision making.

Staff members of the laboratories work as members of interdiscipli. nary teams in close collaboration with Psychologists, Mathematicians, and military and civilian government personnel.

The Franklin Institute is a non-profit scientific institution located in center city Philadelphia. Good housing, cultural institutions, universities, and recreational facilities are all conveniently located. These Appointment. Offer MR. EZRA S. KRENDEL, Technicol Director Exceptional Opportunities. OPERATIONS RESEARCH DIVISION For Inform4tion- WRITE TO: THE FRANKLIN INSTITUTE

Philadelphia, Pa. 19103

An Equal Opportunity Employer

-uuum mii WEAPONS uuumimiiii SYSTEMS

iuuum-miiii ANALYSTS

STANFORD RESEARCH INSTITUTE SR

has several openings for Senior Weapons Systems Analysts. Activities involve engineering analyses and evaluations of advanced design alternatives on a variety of existing and newly proposed weapons systems, with special emphasis on Air and Ballistic Missile De- fense Systems. Opportunities exist to participate both individually and as team members on highly challenging research programs.

In addition to a broad advanced systems background, experience in one or more of the following areas is of immediate interest: Nuclear Weapons Effect, Re-entry I Physics and Decoy Discrimination, Radar Systems, Radar Signal and Data Proc-

essing, Missile Guidance & Electronics, Computer Simulation and Missile Systems Cost Evaluation.

* Engineers, Physicists and Mathematicians, preferably with advanced degrees and with broad systems backgrounds, or specialists in the areas mentioned who desire to apply their experience to systems problems, are invited to submit resumes. Industrial level salaries and benefits are provided.

For further information, I STANFORD RESEARCH 333 Ravenswood | -an equal I ~~~~~~~~~Menlo Park, opportunity please contact: R. B. Cantu | INSTITUTE California | employer-

xvi



Scientifically trained individuals with grounding in operations research are being sought by the Weapons Systems Evaluation Division of the Institute for Defense Analyses. Working near the Pentagon with military members of the Defense Department's Weapons Systems Evaluation Group, staff members of this private research organization apply techniques of military operations research and related sciences to problems of highest importance to national defense. The goal of their effort is to provide complete evaluations for use by the Joint Chiefs of Staff and the Director of Defense Research and Engineering, as well as by other elements of the Office of the Secretary of Defense. In service to the Nation, in intellectual challenge, and in personal growth potential, a position in this body offers unique opportunities. Individual inquiries are invited and should be addressed to Mr. Thomas J. Shirhall.

B. 0. KOOPMAN, Director Weapons Systems Evaluation Division

IDA

INSTITUTE FOR DEFENSE ANALYSES 400 Army-Navy Drive, Arlington, Virginia 22202

An equal opportunity employer sponsored by twelve of the nation's leading universities.

xvii



ENGINEERS * PHYSICISTS * MATHEMATICIANS

At_~V CAAREER APPOINTMENTS

IN OPERATIONS ANALYSIS The Applied Physics Laboratory of The Johns Hopkins Univer- sity now offers highly attractive career appointments to the professional staff of its Military Operations Analysis Group. The atmosphere within the Group is one of imagination, origi- nality of thought, informality and independence . . . there is a minimum of formal organization. Staff members will enjoy a freedom to define and redefine problems and methods of solution, working individually for the most part, in an essentially academic atmosphere.

The Group receives its assignments from other divisions at APL, the APL management and the Navy, although a considerable number of projects are self-generated by Group members. Cur- rent problem areas include anti-air warfare, Marine Corps tactical operations, tactical data systems, strategic weapons systems, weapon control, radar systems analysis, and operational readiness.

Respondents must have a degree in one of the physical sciences and three or more years experience in a scientific or technical field. Creativeness should be balanced by a practical-minded attitude, and the ability to function effectively with scant supervision.

APL's modern facilities are located in Silver Spring, Md., a residential suburb of Washington, D. C., affording a choice of city, suburban or country living. The area is known for its high living standards, excellent public schools and extensive opportunities for graduate study.

Direct your inquiry to: Professional Staff Appointments

The Applied Physics Laboratory . The Johns Hopkins University 8681 Georgia Avenue, Silver Spring, Maryland (Suburb of Washington, D. C.)

ALL QUALIFIED APPLICANTS WILL RECEIVE CONSIDERATION FOR EMPLOYMENT WITHOUT REGARD TO RACE, CREED. COLOR. OR NATIONAL ORIGIN.

xviii



This General Motors personnel expert is searching out bright young talent. He and others like him are charged with the im- portant task of selecting the best prospects from among thou- sands of qualified people for jobs in industry. He conducts interviews at dozens of colleges every year.

His job calls for an analytical and understanding mind. He is very careful to get all the facts before making a decision. He looks into the background of each student-scholarship, mental attitude, previous work experience, health and scope of interests. Often the difference between the merely competent person and the future leader can be reduced to a matter of desire. It takes expert judgment to spot the real thing.

Getting its share of outstanding young men each year is vital to General Motors' future. And so, naturally, are the t"talent scouts" who find them for us. They deserve much of the credit for the continuing success of the GM team.

GENERAL MOTORS IS PEOPLE. Making Better Things ForYou

Xix



HANDBOOK of NONPARAMETRIC STATISTICS, J fjSEARCH VOL. II By John E. Walsh is the second vol- RIANE ume of a study that will constitute -%NSTI7U7E in complete and usable form an or- ganized presentation of all the im- portant experimental nonparametric procedures developed prior to 1958. First relating the material presented RESARCH TNG PARK in Volume I to the present volume, the author then considers two sample NOTH CARNA and several sample problems (both with categorical and noncategorical data), the investigation of population excellent opportunities symmetry, the investigation of extreme populations, and observations. This text is written in connection with a research project sponsored in the OPERA TIONS ANAI YSTS public interest by the System Development Corporation of Santa IMAGINATION and resourcefulness are Monica, California.

needed at all levels for expanding programs January 1965 620 pp. Approx. $15.00 in civil and military defense, information-

D. VAN NOSTRAND COMPANY, INC. management systems, transportation, tex-

120 Alexander Street Princeton New Jersey tile and other types of industrial operations 10AeadrSre P o, Nresearch. Unusual opportunities are offered experienced operations analysts and exceptionally well-qualified recent gradu- ates in mathematics, statistics, engineering, the physical sciences, and economics. Abil- WEAPON SYSTEMS ity to write fluently is essential.

ANALYSTS STIMULATING environment for profes- Openings for PhDs or equivalent ex- sional and cultural development is provided perience in Mathematics, Statistics, by close association with the Triangle uni- Operations Research, Electrical Engi- versities: Duke, University of North Caro- neering, or Physics is required. Famil- lina, and North Carolina State. Nearby iarity with Military Operations or mountains and beaches enhance pleasant Nuclear Ordnance is desirable; inter- living conditions. est in such areas is indispensable. Evidence of individual contribution APPLY-but only if prepared to meet the commensurate with work experience continuing challenges of interdisciplinary is necessary. projects and deadlines! Sandia Corporation is a Bell System subsidiary and a prime contractor of the Atomic Energy Commission en- For further information, gaged in research, design and develop- please write: ment of the non-nuclear phases of Dr. Edgar A. Parsons, Director nuclear weapons. Liberal employee Orati onsR Division benefits. Paid relocation allowance. Operations Research Division Consideration of applicants is based solely on qualifications and without regard to race, creed, color or national RESEARCH TRIANGLE origin. U. S. Citizenship is, however, required. INSTITUTE Send resume to Professional Employ- ment Section 500, Sandia Corpora- Box 490, Durham, North Carolina tion, Albuquerque, New Mexico.

An independent non-profit research organi- SANDIA CORPORATION zation located on its own campus in North ALBUQUERQUE, NEW MEXICO Carolina's Research Triangle Park.

hi LIVERMORE, CALIFORNIA "An equal opportunity employer"

xx



MAN AND HUMAN PROGRESS... ONE IN A SERIES

I~~~~~~\ A

""Peace i's noot achieved merelyb desiring it.I May 27, 1959. For official Washington and In the national interest, the much of the free world, it was a day of mourn- Research Analysis Corpo- ing . . .the day of John Foster Dulles' funeral. ration applies scientific

Ironically, it was also the deadline, set forth thought to major military, in an ultimatum six months earlier by Nikita technical, ebolnom icand Khrushchev, for the West to get out of Berlin.proliticand polmutds.ipNon-

But because Dulles had stood firm-as he had RAC invites scientists and in so many earlier showdowns between West- engineers with advanced ern determination and Communist expansion- degrees and superior capa- ism-May 27, 1959 was a carefree spring day abilities to investigate its in Berlin, nothing more, nothing less. career opportunities; please ,Dulles,- often stressing that peace is not to send your resume to Mr.

be had simply for the wanting, fought all his John G. Burke, Professional life for a just and moral peace, a peace founded Staffing, Research Analysis on interdependence of nations and the dignity Copoaion, Mc2101 (sub rb-o of man. We have not yet achieved his objec- ahnton D. C.). An tives. But time has both vindicated his judg- equal opportu-_ ment and'affirmed the remarkable breadth of nitty employer. his accomplishment. RESEARCH ANALYSIS CORPORATION



DECOMPOSITION OF LINEAR

?cCRJITINiQ\. . PROGRAMS

A few copies of the lecture notes, prepared

a4 'Problem? for MATHEMATICA's well known course, are available at a special reduced price of $12.50 for ORSA-TIMS members.

LET THE SOCIETY PUBLICATIONS The notes consist of original papers by SERVE YOU.

M. L. Balinski, W. J. Baumol, T. Fabian, R. E. Quandt, A. W. Tucker, P. Wolfe and A. Yaspan. Examples; dictionary of L. P. terms. Approximately 300 pages, 8yf x 11 size.

Write or Telephone

C.P.CHADSEY,AdvertisingManager ORDER YOUR COPY FROM

OPERATIONS RESEARCH Research Analysis Corporation MAT H E M A T I C A

McLean, Virginia, 22101 Telephone: 703-893-5121 70 Nassau Street

Princeton, N.J. 08540

MARKETING ANALYST Univis is a medium-sized multiplant growth company. It offers optical,

plastic, and electromechanical products for both industrial and consumer markets. The company is in its 45th year of financial and professional accomplishment.

Our Marketing department reports to the President, developing and implementing objectives, policies, and plans, within the context of our corporatewide requirements.

We wish to fill a newly created position, subordinate to the Vice President for Marketing, applying mathematical and logical analyses to the collection, evaluation, and dissemination of information pertinent to the current description and conditional simulation of demand for products, processes, and services.

The incumbent will possess Masters Degree proficiency related to marketing econometrics with specific capabilities in mathematical-statistical demand analysis, location theory, and design of experiments, preferably derived from a background in the physical sciences or engineering coupled with subsequent exposure in economics, business, and marketing.

Candidates should be in their late 20s. Send detailed resume to D. B. COTTON, DIRECTOR of CORPORATE PLANNING, UNIVIS INCORPORATED, FORT LAUDERDALE, FLORIDA. UNIVIS

xxii



Journal of THIE AMERICAN STATISTICAL ASSOCIATION

Volume 59 December 1964 Number 308

TABLE OF CONTENTS THE PREDICTIVE ABILITY OF CONSUMER ATTITUDES, STOCK PRICES, AND NON-ATTI-

TUDINAL VARIABLES .............. Irwin Friend and F. Gerard Adams

SEQUENTIAL ANALYSIS WITH DELAYED OBSERVATIONS ............... T. W. Anderson

RESPONSE VARIANCE AND ITS ESTIMATION .............................. I. P. Fellegi A UNIFIED DERIVATION OF SOME NONPARAMETRIC DISTRIBUTIONS

Carl-Erik Sarndal SAMPLE SELECTION AND THE CHOICE OF ESTIMATOR IN TWO-WAY STRATIFIED POPU-

LATIONS . ................................................ W. H. Williams THE ESTIMATION OF A CHANGING SEASONAL PATTERN ................ E. J. Hannan

ON LEAST SQUARES WITH INSUFFICIENT OBSERVATIONS .... ....... John S. Chipman

INTERVAL ESTIMATION IN LINEAR REGRESSION WHEN BOTH VARIABLES ARE SUBJECT

TO ERROR ................................................. Max Halperin THE EXTENT OF REPEATED MIGRATION: AN ANALYSIS BASED ON THE DANISH POPU-

LATION REGISTER .............................................. Sidney Goldstein

CRITERIA FOR BEST SUBSTITUTE INTERVAL ESTIMATORS, WITH AN APPLICATION TO THE NORMAL DISTRIBUTION .......................................H. Leon Harter

INTERVALESTIMATION FOR LINEAR COMBINATIONS OF MEANS ........ Minoru Siotani

THE IDENTIFICATION OF EFFECTIVE INTERVIEWERS ........... Stanley W. Steinkamp A NOTE ON THE MAXIMUM LIKELIHOOD ESTIMATION OF A LINEAR STRUCTURAL RELA-

TIONSHIP ............... ................................. M. W. Birch EFFICIENCIES FOR STEPWISE REGRESSIONS ........ ................... T. D. Wallace

THE VARIABILITY OF PROFITABILITY WITH SIZE OF FIRM, 1947-1958... .H. 0. Stekler

INCOME, INCOME CHANGE, AND DURABLE GOODS DEMAND ............. Maw Lin Lee

CONDITIONAL MEANS AND COVARIANCES OF NORMAL VARIABLES WITH SINGULAR COVARIANCE MATRIX ............... ... George Marsaglia

2P FACTORIAL EXPERIMENTS WITH THE FACTORS APPLIED SEQUENTIALLY R. R. Prairie and W. J. Zimmer

ON THE ANALYSIS OF GROUP DIVISIBLE DESIGNS.... C. H. Kapadia and D. L. Weeks

A NOTE ON THE NEGATIVE MOMENTS OF A TRUNCATED POISSON VARIATE.. M. L. Tiku

THE UTILIZATION OF A KNOWN COEFFICIENT OF VARIATION IN THE ESTIMATION PRO- CEDURE. .Donald T. Searls

A SIMPLE APPROACH TO THE BAYES CHOICE CRITERION: THE METHOD OF EXTREME PROBABILITIES. Alvise Braga-Illa

A SUPPLEMENT TO MENDENHALL'S BIBLIOGRAPHY ON LIFE TESTING AND RELATED Topics................................................... Zakkula Govindarajulu

BOOK REVIEWS

INDEX TO VOLUME 59

For further information, please contact: AMERICAN STATISTICAL ASSOCIATION

810 18th Street, N. W.

Washington, D. C. 20006

xxiii



Exceptional Opportunities for

EXPERIENCED OPERATIONS RESEARCHERS

As a result of our Firm's continuing expansion of its OPERATIONS RESEARCH capability, we have need for thoroughly seasoned practitioners in all phases of OPERATIONS RESEARCH consulting-from initial client contact through the implementation phase.

We are so sure of the merits of what we have to offer that we invite you to get in touch with us to explore how your talents and our needs can be combined to great mutual advantage.

For our part, we offer opportunity to use to the full your skill and versatility, in many industrial and business contexts. This means the challenge to meet high standards of professional performance, with commensurate rewards -in job satisfaction-in association with other highly- qualified professionals from our own and other disciplines- and in other and more usual ways.

We'd prefer to hear from you now-but are always on the lookout for the right men. Write to the personal attention of:

Dr. E. Leonard Arnoff Principal and

Director of Operations Research

Ernst & Ernst Cleveland, Ohio 44114

xxiv



PUBLICATIONS in

I o AOPERATIONS RESEARCH

Sponsored by the Operations Research Society of America.

Number 10

DECISION AND VALUE THEORY By PETER C. FISHBURN, Case Institute of Technology

Using a rigorous mathematical approach, the present work considers the application of recently developed decision and value theory. In so doing, it stresses the optimal use of partial information about probabilities and values. Decision and Value Theory recognizes two major requirements in every decision situation: to formulate strategies that will aid in the pursuit of objectives and to select a strategy which can be implemented according to a prescriptive criterion of choice. I964. 45i pages. $i3.75.

Previously published volumes . No. I QUEUES, INVENTORIES and MAINTENANCE The Analysis of Operational Systems with Variable Supply and

Demand By PHILIP MORSE, Massachusetts Institute of Technology. i958. 202 pages. $6.95. No. 2 FINITE QUEUING TABLES By LESLIE G. PECK and R. NICHOLS HAZELWOOD, both of Arthur D. Little, Inc. i958. 2I0 pages. $8.So. No. 3 EFFICIENCY IN GOVERNMENT THROUGH SYSTEMS

ANALYSIS With Emphasis on Water Resource Development By ROLAND N. MCKEAN, The RAND Corporation. I958. 336 pages. $8.95. No. 5 PROGRESS IN OPERATIONS RESEARCH-Volume I Edited by RUSSELL L. ACKOFF, Case Institute of Technology. i96i. 5O0 pages. $ii.75.

No. 6 STATISTICAL MANAGEMENT OF INVENTORY SYSTEMS By HARVEY M. WAGNER, Stanford University. I962. 235 pages. $8.95. No. 7 PRICE, OUTPUT, AND INVENTORY POLICY A Study in the Economics of the Firm and Industry By EDWIN S. MILLS, The Johns Hopkins University. I962. 27I pages. $8.So. No. 8 A COMPREHENSIVE BIBLIOGRAPHY ON OPERATIONS

RESEARCH 1957-1958 Compiled by the OPERATIONS RESEARCH GROUP of the Case Institute of Technology. I963. 403 pages. $8.7.f. No. 9 PROGRESS IN OPERATIONS RESEARCH-Volume 11 Edited by DAVID B. HERTZ, Principal and Director of Operations Research, McKinsey & Company, Inc.; and ROGER T. EDDISON, Director of Operations, SIGMA (Science in General Management, Ltd.). i964. 455 pages. $ii. oo.

No. 4 is out of print.

N.B. All volumes in the ORSA series are available to members of the Society at a discount of 25 %. To secure this discount, members should send checks, made out to John Wiley & Sons, Inc., to the Business Manager of the Society.

JOHNrWILEY&SONS, Inc., 605Third Avenue, New York, N. Y. 10016



Contents

OPERATIONS RESEARCH

Volume 13 January-February Number 1

FRANKLIN C. BROOKs-The Stochastic Properties of Large Battle Models................................................... 1

GEORGE MARSAGLIA-Some Problems Involving Circular and Spherical Targets ........... e ....................................... 18

PETER C. FISHBURN-Independence in Utility Theory with Whole Product Sets ............................................... 28

J. J. MARTIN-Distribution of the Time through a Directed, Acyclic Network.................................................. 46

WILLIAM R. KING-A Stochastic Personnel-Assignment Model ...... 67

EGON BALAs-Solution of Large-Scale Transportation Problems through Aggregation ............................................... 82

P. C. GILMORE AND R. E. GOMORY-Multistage Cutting Stock Prob- lems of Two and More Dimensions ........................... 94

HENRY D. FRIEDMAN-Reduction Methods for Tandem Queuing Systems................................................... 121

SPENCER B. SMITH-Planning Transistor Production by Linear Pro- gramming ................................................. 132

LETTERS To THE EDITOR ...................................... 140

GEORGES BRIGHAM-The Lanchester Prize ......................... 140

D. J. A. WELSH-Errors Introduced by a PERT Assumption ........... 141

D. T. TANG-Comments on Feasibility Conditions of Simultaneous Flows in a Network ................................................. 143

S. M. ROBERTS AND BENITO FLOREs-Solution of a Combinatorial Prob- lem by Dynamic Programming . . 146

ROBERT E. MACHOL AND DAVID B. HERTZ-Policy Statement for PORS. 157

THE ANALYST'S BOOKSHELF ..................................... 159

REVJEWS ..................................................... 159

BOOKS R ECEIV D ................................................R E 164

NOTES..166

ANNOUNCEMENTS .............................................. 168

Composed and Printed by Waverly Press, Inc.

Baltimore, Maryland, 21202



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