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 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).