Queueing theory, especially models motivated by applications in computer engineering and telecommunications (in particular, vacation models and polling models -  see PUBLICATIONS 1969, 1970, 1985, 1995, 1996, 1998, 1999).  Especially interested in probabilistic models in which mathematical analysis and common-sense intuition interact to produce results that are insightful, and sometimes counterintuitive.



PUBLICATIONS   (Printer-friendly version)

Papers Published in Refereed Journals:

Cooper, R.B., S.-C. Niu, and M.M. Srinivasan. Setups in Polling Models: Does it Make Sense to Set Up if No Work is Waiting? JOURNAL OF APPLIED PROBABILITY 36 (1999), 585-592.
Cooper, R.B., S.-C. Niu, and M.M. Srinivasan. Some Reflections on the Renewal-Theory Paradox in Queueing Theory. JOURNAL OF APPLIED MATHEMATICS AND STOCHASTIC ANALYSIS 11 (1998), 355-368.
Cooper, R.B., S.-C. Niu, and M.M. Srinivasan. When Does Forced Idle Time Improve Performance in Polling Models? MANAGEMENT SCIENCE 44 (1998), 1079-1086.
Cooper, R.B., S.-C. Niu, and M.M. Srinivasan. A Decomposition Theorem for Polling Models: The Switchover Times are Effectively Additive. OPERATIONS RESEARCH 44 (1996), 629-633.
Srinivasan, M.M., S.-C. Niu, and R.B. Cooper. Relating Polling Models with Zero and Nonzero Switchover Times. QUEUEING SYSTEMS 19 (1995), 149-168.
Cooper, R.B. An Infinite Sum of Erlang Loss Functions. SIAM REVIEW 36 (1994), 113-114.
Cooper, R.B. and M.K. Solomon. Teletraffic Theory Applied to the Analysis of Hash-Structured Files. INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS 47 (1993), 336-341.
Niu, S.-C. and R.B. Cooper. Transform-Free Analysis of M/G/1/K and Related Queues. MATHEMATICS OF OPERATIONS RESEARCH 18 (1993), 486-510.
Cooper, R.B. and D. Gross. On the Convergence of Jacobi and Gauss-Seidel Iteration for Steady-State Probabilities of Finite-State Continuous-Time Markov Chains. STOCHASTIC MODELS 7 (1991), 185-189.
Niu, S.-C. and R.B. Cooper. A Duality Relation for Busy Cycles in GI/G/1 Queues. QUEUEING SYSTEMS 8 (1991), 203-210.
Niu, S.-C. and R.B. Cooper. Duality and Other Results for M/G/1 and GI/M/1 Queues, via a New Ballot Theorem. MATHEMATICS OF OPERATIONS RESEARCH 14 (1989), 281-293.
Cooper, R.B. and S. Palakurthi. Heterogeneous-Server Loss Systems with Ordered Entry: An Anomaly. OPERATIONS RESEARCH LETTERS 8 (1989), 347-349.
Cooper, R.B. Queues with Ordered Servers that Work at Different Rates: An Exact Analysis of a Model Solved Approximately by Others. PERFORMANCE EVALUATION 7 (1987), 147-149.
Cooper, R.B. and S.-C. Niu. Benes's Formula for M/G/1-FIFO 'Explained' by Preemptive-Resume LIFO. JOURNAL OF APPLIED PROBABILITY 23 (1986), 550-554.
Fuhrmann, S.W. and R.B. Cooper. Application of Decomposition Principle in M/G/1 Vacation Model to Two Continuum Cyclic Queueing Models- Especially Token-Ring LANs. AT&T TECHNICAL JOURNAL 64 (1985), 1091-1099.
Fuhrmann, S.W. and R.B. Cooper. Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations. OPERATIONS RESEARCH 33 (1985), 1117-1129.
Cooper, R.B. and M.K. Solomon. The Average Time Until Bucket Overflow. ACM TRANSACTIONS ON DATABASE SYSTEMS 9 (1984), 392-408.
Cooper, R.B. and B. Tilt. On the Relationship Between the Distribution of Maximal Queue Length in the M/G/1 Queue and the Mean Busy Period in the M/G/1/n Queue. JOURNAL OF APPLIED PROBABILITY 13 (1976), 195-199.
Cooper, R.B. Queues with Ordered Servers that Work at Different Rates. OPSEARCH 13 (1976), 69-78.
Carter, G.M. and R.B. Cooper. Queues with Service in Random Order. OPERATIONS RESEARCH 20 (1972), 389-405.
Cooper, R.B. Queues Served in Cyclic Order: Waiting Times. THE BELL SYSTEM TECHNICAL JOURNAL 49 (1970), 399-413.
Cooper, R.B. and G. Murray. Queues Served in Cyclic Order. THE BELL SYSTEM TECHNICAL JOURNAL 48 (1969), 675-689.
Cooper, R.B. and S.S. Katz. Analysis of Alternate Routing Networks with Account Taken of the Nonrandomness of Overflow Traffic. Unpublished Bell Labs Technical Memorandum (1964).


Book, Survey Papers:  

Cooper, R.B. INTRODUCTION TO QUEUEING THEORY. Macmillan, 1972. Second Edition, North-Holland (Elsevier), 1981.  Solutions Manual by Børge Tilt.
Cooper, R.B. Queueing Notation. WILEY ENCYCLOPEDIA OF OPERATIONS RESEARCH AND MANAGEMENT SCIENCE, 2010.
Cooper, R.B. Queueing Theory. ENCYCLOPEDIA OF COMPUTER SCIENCE, Fourth Edition (A. Ralston, D.E. Reilly, D. Hemmendinger, eds.), Nature Publishing Group, 2000, 1496-1498.
Cooper, R.B. and D.P. Heyman. Teletraffic Theory and Engineering. Froehlich/Kent ENCYCLOPEDIA OF TELECOMMUNICATIONS, Vol. 16, Dekker, 1998, 453-483.
Cooper, R.B. Queueing Theory. Chapter 10 in STOCHASTIC MODELS (D.P.Heyman and M.J. Sobel, eds.), North-Holland, 1990, 469-518.
Akimaru, H. and R.B. Cooper. TELETRAFFIC ENGINEERING. Ohmsha, 1985 (In Japanese).


Home