## Content

### April 1968, Volume 16, Issue 2

**450-453 Letter to the Editor—A Note on the Generalized Lagrange Multiplier Solution to an Integer Programming Problem***by*George L. Nemhauser & Zev Ullmann**453-454 Letter to the Editor—On King's Note***by*Samuel Eilon

### February 1968, Volume 16, Issue 1

**1-9 Some Points in the Methodology of Urban Population Distributions***by*C. A. Wilkins**10-17 Effectiveness of Imperfect Decoys***by*A. Hershaft**18-27 Reliability Applications of a Bivariate Exponential Distribution***by*Robert Harris**28-35 Reliability of a Parallel Redundant Complex System***by*D. K. Kulshrestha**36-51 A Renewal Theoretic Approach to the Estimation of Future Demand for Replacement Parts***by*Richard M. Soland**52-63 Allocation of Transportation Units to Alternative Trips—A Column Generation Scheme with Out-of-Kilter Subproblems***by*M. R. Rao & S. Zionts**64-71 The Stationary Solution of a Multiserver Queuing Model with Discouragement***by*John F. Reynolds**72-82 On the Capacity of Tandem Server, Finite Queue, Service Systems***by*David K. Hildebrand**83-90 An Additional Special Channel, Limited Space Queuing Problem with Service in Batches of Variable Size***by*K. Murari**91-102 A Decomposition Algorithm for Shortest Paths in a Network***by*T. C. Hu**103-121 Dynamic Programming Algorithms for the Integer Programming Problem—I: The Integer Programming Problem Viewed as a Knapsack Type Problem***by*Jeremy F. Shapiro**122-141 Metric: A Multi-Echelon Technique for Recoverable Item Control***by*Craig C. Sherbrooke**142-149 Chance-Constrained Games with Partially Controllable Strategies***by*A. Charnes & M. Kirby & W. Raike**150-173 An Experimental Comparison of Techniques for the Assignment of Facilities to Locations***by*Christopher E. Nugent & Thomas E. Vollmann & John Ruml**174-186 Letter to the Editor—A Selected Bibliography on the Application of Optimal Control Theory to Economic and Business Systems, Management Science, and Operations Research***by*G. S. Tracz**186-189 Letter to the Editor—Some Results for the Bulk-Arrival Infinite-Server Poisson Queue***by*John F. Reynolds**189-192 Letter to the Editor—Multichannel Queuing System with Bulk Service***by*P. M. Ghare**193-198 Letter to the Editor—An Extension of the Algorithm of Driebeek for Solving Mixed Integer Programming Problems***by*Paul R. Rebelein**198-202 Letter to the Editor—Remarks on “Linear Programming Under Uncertainty”***by*A. C. Williams & M. Avriel**202-205 Letter to the Editor—Common Terminal Multicommodity Flow***by*W. Rothfarb & N. P. Shein & I. T. Frisch**205-209 Letter to the Editor—A Constrained Shortest Route Problem***by*Romesh Saigal**209-211 Letter to the Editor—An Optimal Strategy for a Whereabouts Search***by*Keith P. Tognetti**211-216 Letter to the Editor—A Note on Radial Distributions***by*Frank McNolty**216-220 Letter to the Editor—An Analysis of Economic System Subdivision—A Rule for Just Partition***by*Richard J. Treadwell**220-221 Letter to the Editor—Comments on a Paper by A. Novaes and E. Frankel: “A Queuing Model for Unitized Cargo Generation”***by*Emil S. Bahary**222-222 Erratum***by*Santosh Kumar**222-223 Letter to the Editor—The Long-Range Planning Committee of the ORSA Council***by*C. J. Ancker

### December 1967, Volume 15, Issue 6

**985-1010 A Tutorial on Production Smoothing and Work Force Balancing***by*Edward A. Silver**1011-1039 Algorithms for Optimal Production Scheduling and Employment Smoothing***by*Steven A. Lippman & Alan J. Rolfe & Harvey M. Wagner & John S. C. Yuan**1040-1050 Mathematical Models in Marketing***by*Shiv K. Gupta & K. S. Krishnan**1051-1056 Exact Solution of a Simple Cutting Problem***by*S. Barnett & G. J. Kynch**1057-1062 On the Distribution of Stock Price Differences***by*Benoit Mandelbrot & Howard M. Taylor**1063-1067 Functional Selection for the Stochastic Assignment Model***by*Roman L. Weil**1068-1087 A Decomposable Nonlinear Programming Approach***by*Willard I. Zangwill**1088-1095 The Use of Uncertainty in a Simultaneous Search***by*A. O. Converse**1096-1108 An Analytical Technique for Urban Casualty Estimation from Multiple Nuclear Weapons***by*Jeffrey J. Hunter**1109-1116 A Simple Proof of: L = λ W***by*William S. Jewell**1117-1130 An Imbedded Chain Approach to a Queue with Moving Average Input***by*C. Pearce**1131-1144 A General Model of a Single-Channel Queue: Discrete and Continuous Time Cases***by*John U. Beusch**1145-1156 Queuing Systems with Enforced Idle Time***by*B. A. Powell & B. Avi-Itzhak**1157-1163 Letter to the Editor—Allocation of Launch Vehicles to Space Missions: A Fixed-Cost Transportation Problem***by*John William Stroup**1163-1169 Letter to the Editor—Some Aspects of a Minimax Location Problem***by*Richard L. Francis**1169-1171 Letter to the Editor—A Note on the Efficiency of Balas' Algorithm***by*Karl M. Brauer**1171-1174 Letter to the Editor—Reduction of Integer Polynomial Programming Problems to Zero-One Linear Programming Problems***by*Lawrence J. Watters**1174-1177 Letter to the Editor—Stronger Cuts in Integer Programming***by*Fred Glover**1177-1180 Letter to the Editor—On the Nature and Form of Operations Research***by*William R. King**1180-1182 Letter to the Editor—On King's Note***by*Robert E. Machol**1182-1182 Acknowledgment***by*William J. Gordon & Gordon F. Newell

### October 1967, Volume 15, Issue 5

**779-796 A General Dynamic Model for Air Defense***by*Eric Brodheim & Ivo Herzer & Laurence M. Russ**797-812 Learning by Doing—An Adaptive Approach to Multiperiod Decisions***by*Charles C. Ying**813-819 “Optimal” Policy in a Maintenance Cost Problem***by*Regina C. Elandt-Johnson**820-827 The Sequential Unconstrained Minimization Technique (SUMT) Without Parameters***by*Anthony V. Fiacco & Garth P. McCormick**828-829 Note on “The Sequential Maximization Technique”***by*John M. Danskin**830-846 Geometric Distribution in Some Two-Dimensional Queuing Systems***by*Richard V. Evans**847-856 Queues with Hyper-Poisson Input and Exponential Service Time Distribution with State Dependent Arrival and Service Rates***by*S. K. Gupta**857-865 Bayes Markovian Decision Models for a Multiperiod Reject Allowance Problem***by*Leon S. White**866-871 Existence of a Stationary Control for a Markov Chain Maximizing the Average Reward***by*Anders Martin-Löf**872-881 Optimal Control of a Continuous-Time Markov Chain with Periodic Transition Probabilities***by*Anders Martin-Löf**882-891 Pseudo-Concave Programming and Lagrange Regularity***by*K. O. Kortanek & J. P. Evans**892-914 Direct Search Algorithms for Zero-One and Mixed-Integer Programming***by*Carlton E. Lemke & Kurt Spielberg**915-957 Discrete Programming by the Filter Method***by*Egon Balas**958-959 Letter to the Editor—Some Comments on the Paper by B. V. Dean and E. S. Marks, “Optimal Design of Optimization Experiments”***by*Regina C. Elandt-Johnson**960-964 Letter to the Editor—Some Comments on Letter and Paper by Regina C. Elandt-Johnson, “‘Optimal’ Policy in a Maintenance Cost Problem”***by*Eli S. Marks & Burton V. Dean**964-969 Letter to the Editor—A Note on Some Classical Methods in Constrained Optimization and Positively Bounded Jacobians***by*K. Kortanek & R. Jeroslow**969-970 Letter to the Editor—Comments on the Note by Kortanek and Jeroslow, “Some Classical Methods in Constrained Optimization and Positively Bounded Jacobians”***by*Richard W. Cottle**970-972 Letter to the Editor—Counts Delayed but Not Lost—A Note on a Paper of Haight***by*J. A. Anderson & J. F. Bithell**972-975 Letter to the Editor—Some Remarks Concerning the Departure Process of a Queue with Poisson Arrivals and no Balking***by*D. N. Shanbhag**976-977 Letter to the Editor—The Use of Branching in Dynamic Programming for Parametric Analysis***by*Harvey J. Greenberg**978-979 Letter to the Editor—Choosing Among Investment Possibilities with Stochastic Pay-Off Minus Expenditure***by*Yrjö Seppälä

### August 1967, Volume 15, Issue 4

**591-591 Special Applications Issue***by*Walter Edward Cushen**592-640 On the Selection of Unmanned Probes and Launch Vehicles for Exploration of the Solar System***by*George W. Morgenthaler**641-642 C. S. Pierce on Benefit-Cost Analysis of Scientific Activity***by*W. Edward Cushen**643-648 Note on the Theory of the Economy of Research***by*C. S. Peirce**649-659 Truck Queues at Country Grain Elevators***by*Heber D. Bouland**660-679 Simulation and Adaptive Forecasting as Applied to Inventory Control***by*A. H. Packer**680-693 Heuristic Approach to Nonstandard Form Assignment Problems***by*J. A. Joseph**694-705 Computer Aids to Clinical Treatment Evaluation***by*Robert S. Ledley**706-719 A Multivariate Statistical Model for Indirect Bomb Damage Assessment***by*M. Orr & R. H. Spohn**720-737 The Use of Models in Marketing Timing Decisions***by*Sidney W. Hess**738-751 Evaluating Aircraft Requirements in the Light of Varying or Uncertain Mission Mixes***by*James G. Abert & Murray Kamrass & Joseph A. Navarro**752-767 On the Uses of Industrial Dynamic Models***by*David A. Wismer

### June 1967, Volume 15, Issue 3

**373-387 The Costs and Effectiveness of Reenlistment Incentives in the Navy***by*Franklin M. Fisher & Anton S. Morton**388-406 The Status of Developments in the Theory of Stochastic Duels—II***by*C. J. Ancker**407-426 Decision CPM: A Method for Simultaneous Planning, Scheduling, and Control of Projects***by*W. Crowston & G. L. Thompson**427-447 A Model for Measuring Stock Depletion Costs***by*Yu Sang Chang & Powell Niland**448-466 Sufficient Conditions for Some Optimum-Property Facility Designs***by*Richard L. Francis**467-472 An Application of Regenerative Stochastic Processes to a Problem in Inventory Control***by*Arthur P. Hurter & Frank C. Kaminsky**473-481 Flow-Shop Scheduling with the Branch-and-Bound Method***by*G. B. McMahon & P. G. Burton**482-494 A Principal Pivoting Simplex Algorithm for Linear and Quadratic Programming***by*Robert L. Graves**495-512 Deterministic Solutions for a Class of Chance-Constrained Programming Problems***by*Gifford H. Symonds**513-529 Initial Provisioning with Spare Deterioration***by*Paul J. Schweitzer**530-536 Capacity of Queuing Networks***by*Richard V. Evans**537-542 Letter to the Editor—Additive Utilities with Incomplete Product Sets: Application to Priorities and Assignments***by*Peter C. Fishburn**542-545 Letter to the Editor—On the Necessary Conditions for the Existence of the Solution of the Multi-Index Transportation Problem***by*J. Morávek & M. Vlach**545-546 Letter to the Editor—Note on the Letter by Morávek and Vlach***by*K. B. Haley**546-548 Letter to the Editor—Polar vs. Rectangular Road Networks***by*Sheldon J. Einhorn**548-551 Letter to the Editor—Remarks on Network Simplification***by*Arthur M. Hobbs**552-557 Letter to the Editor—Optimum Locations on Graphs with Correlated Normal Demands***by*H. Frank**557-558 Letter to the Editor—On the “Logarithmic Law” of Attrition and its Application to Tank Combat***by*R. H. Peterson**559-561 Letter to the Editor—A Test for Suboptimal Actions in Markovian Decision Problems***by*J. MacQueen**562-564 Letter to the Editor—An Optimal Stopping Rule***by*Paul Randolph**565-566 Letter to the Editor—Quality Improvement by Operational Testing***by*S. K. Bhattacharya**567-570 Letter to the Editor—A Note on a Graph Theoretic Game of Hakimi's***by*H. Frank**570-572 Letter to the Editor—Improper Solutions of the Vector Maximum Problem***by*Allen Klinger**572-575 Letter to the Editor—Comments on a Paper by A. Novaes and E. Frankel, “A Queuing Model for Unitized Cargo Generation”***by*J. F. Brown**575-576 Letter to the Editor—Duality of Finite Markovian Queues***by*Terrell J. Harris**577-578 Letter to the Editor—On Brochure by American Management Association***by*Robert Machol

### April 1967, Volume 15, Issue 2

**185-210 A Nonlinear Programming Model for Launch Vehicle Design and Costing***by*Benjamin C. Rush & Jerome Bracken & Garth P. McCormick**211-220 A Damage-Limiting Shelter-Allocation Strategy***by*Grace J. Kelleher**221-232 The Lanchester Attrition-Rate Coefficient***by*Seth Bonder**233-244 Stochastic Duels with Varying Single-Shot Kill Probabilities***by*N. Bhashyam & Naunihal Singh**245-253 Nonpreemptive Priorities in Machine Interference***by*Vincent Hodgson & Thomas L. Hebble**254-265 Closed Queuing Systems with Exponential Servers***by*William J. Gordon & Gordon F. Newell**266-277 Cyclic Queuing Systems with Restricted Length Queues***by*William J. Gordon & Gordon F. Newell**278-285 A Priority Queuing System with Server-Walking Time***by*Charles E. Skinner**286-303 Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach***by*Frederick S. Hillier & Ronald W. Boling**304-318 Optimum Bribing for Queue Position***by*Leonard Kleinrock**319-341 A Finite Renewal Algorithm for the Knapsack and Turnpike Models***by*Jeremy F. Shapiro & Harvey M. Wagner**342-347 Optimal Linear Inventory Control and First Order Exponential Smoothing***by*Dale M. Landi & B. McK. Johnson**348-356 Laplace's Equation and Network Flows***by*T. C. Hu**357-358 Letter to the Editor—Some Comments on Sven Erlander's Paper: The Remaining Busy Period for a Single Server Queue with Poisson Input***by*N. U. Prabhu**358-359 Letter to the Editor—Nonoptimality of Planned Replacement in Intervals of Decreasing Failure Rate***by*Eric V. Denardo & Bennett L. Fox**360-362 Letter to the Editor—Optimal Replacement Policies for Hyperexponentially and Uniformly Distributed Lifetimes***by*Paul J. Schweitzer**363-366 Letter to the Editor—Analysis of Dominance with Inequality Sets***by*Lee R. Abramson

### February 1967, Volume 15, Issue 1

**1-10 Operations Research in Wartime Naval Mining***by*George Shortley**11-31 An Attrition Game***by*Leif Appelgren**32-38 Two-Dimensional Collision in Parallel Paths***by*Celso de Renna e Souza**39-54 Solving Bicriterion Mathematical Programs***by*Arthur M. Geoffrion**55-70 Two-Stage Programming under Uncertainty with Discrete Distribution Function***by*M. El Agizy**71-82 A General Algorithm for Solution of the n -Job, M -Machine Sequencing Problem of the Flow Shop***by*Richard D. Smith & Richard A. Dudek**83-103 Methods for the Solution of the Multidimensional 0/1 Knapsack Problem***by*H. Martin Weingartner & David N. Ness**104-116 Time Dependent Priority Queues***by*Leonard Kleinrock & Roy P. Finkelstein**117-130 Queues with State-Dependent Stochastic Service Rates***by*Carl M. Harris**131-134 Stream of Overflows from a Finite Queue***by*Erhan Çinlar & Ralph L. Disney**135-138 Comparing a Scheduled Process with an Analogous Poisson Process***by*Rodger D. Parker**139-146 A Discrete Version of Pontryagin's Maximum Principle***by*C. L. Hwang & L. T. Fan**147-152 The Supporting Hyperplane Method for Unimodal Programming***by*Arthur F. Veinott**153-155 Letter to the Editor—Computational Experience with the Algorithm of Balas***by*Bernhard Fleischmann**155-157 Letter to the Editor—Stronger Cuts in Gomory's All-Integer Integer Programming Algorithm***by*Robert B. Wilson**157-159 Letter to the Editor—Comments on “Reliability Considerations for a Two Element Redundant System with Generalized Repair Times”***by*W. S. Jewell**160-165 Letter to the Editor—Circular Distribution Estimation***by*Edmund H. Inselmann & William Granville**165-169 Letter to the Editor—Kill Probability for Multiple Shots***by*Frank McNolty**169-170 Letter to the Editor—Editor's Note***by*Joseph O. Harrison**170-172 Letter to the Editor—On the Convexity of Quadratic Forms Over Convex Sets***by*Richard W. Cottle

### December 1966, Volume 14, Issue 6

**977-991 Cost-of-Research Index, 1920–1965***by*Helen S. Milton**992-1013 Allocating Weapons to Target Complexes by Means of Nonlinear Programming***by*Richard H. Day**1014-1023 Damage to a Circular Target by a Gaussian Distributed Warhead with Uniformly Distributed Bomblets***by*M. P. Jarnagin & A. R. DiDonato**1024-1036 The Effect of Standby Redundancy in System’s Failure with Repair Maintenance***by*V. S. Srinivasan**1037-1044 A Many Server Bulk Queue***by*P. B. M. Roes**1045-1074 The Theory and Computation of Knapsack Functions***by*P. C. Gilmore & R. E. Gomory**1075-1097 A Model of Adaptive Control of Promotional Spending***by*John D. C. Little**1098-1112 A Method for Solving Discrete Optimization Problems***by*E. L. Lawler & M. D. Bell**1113-1120 Chance-Constrained Generalized Networks***by*A. Charnes & M. Kirby & W. Raike**1121-1129 Feasibility of Two Commodity Network Flows***by*B. Rothschild & A. Whinston**1130-1136 Solution of the Lorie-Savage and Similar Integer Programming Problems by the Generalized Lagrange Multiplier Method***by*Seymour Kaplan**1137-1138 Letter to the Editor—Winning Probability in an Ambush Engagement***by*Takasi Kisi & Tadasi Hirose**1139-1143 Letter to the Editor—Expected Coverage of a Circular Target by Bombs all Aimed at the Center***by*M. P. Jarnagin**1143-1148 Letter to the Editor—A Note on Recent Developments in Additive Utility Theories for Multiple-Factor Situations***by*Peter C. Fishburn**1149-1153 Letter to the Editor—Finding Everett's Lagrange Multipliers by Linear Programming***by*R. Brooks & A. Geoffrion**1153-1154 Letter to the Editor—Some Invalid Properties of Markov Chains***by*Paul J. Schweitzer

### October 1966, Volume 14, Issue 5

**759-790 Combat Models and Historical Data: The U.S. Civil War***by*Herbert K. Weiss**791-800 Transfer of Detection Contacts to Tracking Contacts in Surveillance***by*James M. Dobbie**801-811 Two-Way Traffic on a Single Line of Railway***by*Ove Frank**812-821 Time-Dependent Delays at Traffic Merges***by*D. P. Gaver**822-834 The Double-Ended Queue with Bulk Service and Limited Waiting Space***by*B. R. K. Kashyap**835-840 The Probability of an “Excessive Nonfunctioning Interval”***by*A. von Ellenrieder & A. Levine**841-846 Probability Bounds on the Size of Storage Areas***by*Irving Weiss**847-873 An Infeasibility-Pricing Decomposition Method for Linear Programs***by*Egon Balas**874-887 Multistage Planned Replacement Strategies***by*V. P. Marathe & K. P. K. Nair**888-901 A Hierarchy of Deterministic Procurement—Inventory Systems***by*W. J. Fabrycky & Jerry Banks**902-908 Some Stochastic Properties of a Compound-Renewal Damage Model***by*Richard C. Morey**909-913 The Routing Problem with “K” Specified Nodes***by*J. P. Saksena & Santosh Kumar**914-924 One-Pass Algorithms for Some Generalized Network Problems***by*A. Charnes & W. M. Raike**925-931 Letter to the Editor—Bibliography on Network-Based Project Planning and Control Techniques: 1962–1965***by*Sergio Lerda-Olberg**931-935 Letter to the Editor—An Extention of Lanchester's Linear Law***by*Olavi Hellman**935-941 Letter to the Editor—Computational Experience with a “Balasian” Integer Programming Algorithm***by*Raoul J. Freeman**941-942 Letter to the Editor—Some Remarks on a Numerical Example of Balas and on the Note by Glover and Zionts***by*Willard D. James**942-942 Letter to the Editor—Comments on the Preceding Note***by*Egon Balas**943-945 Letter to the Editor—A Poisson Generalization Based on Counts that are Delayed but Not Lost***by*Frank A. Haight**945-946 Letter to the Editor—Reliability Estimates in the Exponential Case***by*E. G. Enns**947-949 Letter to the Editor—On a Duality Principle in the Theory of Queues***by*D. N. Shanbhag**950-956 Letter to the Editor—Fractional Functionals Programming with a Quadratic Constraint***by*S. P. Aggarwal & Kanti Swarup

### August 1966, Volume 14, Issue 4

**555-567 A Stochastic Model of Supermarket Traffic Flow***by*John U. Farley & L. Winston Ring**568-594 The Synchronization of Traffic Signals by Mixed-Integer Linear Programming***by*John D. C. Little**595-606 A Generalization of Linear Car-Following Theory***by*Gentry Lee**607-613 Road Networks in an Expanding Circular City***by*T. Tan**614-618 The Intersection Delay Problem with Correlated Gap Acceptance***by*George H. Weiss**619-623 Networks and Basic Solutions***by*Ellis L. Johnson**624-635 A “Universal” Attrition Model***by*Robert L. Helmbold**636-645 An Approach to Some Structured Linear Programming Problems***by*John M. Bennett**646-651 On Finding a Maximal Assignment***by*A. Yaspan**652-657 On Programming under Uncertainty***by*Robert Wilson**658-669 Optimum Policy Regions for Markov Processes with Discounting***by*Richard D. Smallwood**670-684 The Queue M / G /1 with the Shortest Remaining Processing Time Discipline***by*Linus E. Schrage & Louis W. Miller**685-694 The M -Server Queue with Poisson Input and Gamma-Distributed Service of Order Two***by*Saul Shapiro**695-698 Random Service, Finite-Source Delay Distribution for One Server with Constant Holding Time***by*Paul J. Burke**699-719 Branch-and-Bound Methods: A Survey***by*E. L. Lawler & D. E. Wood**720-722 Letter to the Editor—The Time-Dependent Solution to the Many-Server Poisson Queue***by*R. R. P. Jackson & J. C. Henderson