Ahmet Korhan Aras, PhD from North Carolina State University, main advisor Yunan Liu

• Heavy-Traffic Limit for the Initial Content Process. Submitted to Stochastic Systems (with A. Korhan Aras and Yunan Liu). [PDF].

Mor Armony, Stern School of Business, NYU

• The Impact of Delay Announcements in Many-Server Queues with Abandonment. Operations Research, vol. 57, No. 1, January-February 2009, pp. 66-81. (with Mor Armony and Nahum Shimkin). [PDF]
• The Impact of Delay Announcements in Many-Server Queues with Abandonment: Supplementary Material. working paper, 2005. Supporting material for paper with same title. (with Mor Armony and Nahum Shimkin). [PDF]

Efstathios Avdis, Alberta School of Business, University of Alberta

• Heavy-Traffic Limit for the Initial Content Process. Submitted to Stochastic Systems (with A. Korhan Aras and Yunan Liu). [PDF].

Andre B. Bondi, Member of Technical Staff, Scrum Alliance

• The Influence of Service-Time Variability in a Closed Network of Queues. Performance Evaluation, vol. 6, September 1986, pp. 219-234. [published PDF]

Sid Browne, Managing Director, Credit Suisse, New York City

• Piecewise-Linear Diffusion Processes. Advances in Queueing, J. Dshalalow, ed., CRC Press, Boca Raton, FL, 1995, pp. 463-480 (with Sid Browne). [published PDF]
• Portfolio Choice and The Bayesian Kelly Criterion. Advances in Applied Probability, vol. 28, 1996, pp. 1145-1176 (with Sid Browne). [published PDF]

Dr. Won Chul Cha, Samsung University Medical Center, Seoul, Korea

• Poisson and Non-Poisson Properties in Appointment-Generated Arrival Processes: the Case of an Endocrinology Clinic. Operations Research Letters, vol 43, 2015, pp. 247-253 (with Song-Hee Kim, Ponni Vel and Won Chul Cha). [PDF].
  • Appendix to "Poisson and Non-Poisson Properties in Appointment-Generated Arrival Processes: the Case of an Endocrinology Clinic". (with Song-Hee Kim, Ponni Vel and Won Chul Cha). [PDF].
• A Data-Driven Model of an Appointment-Generated Arrival Processes at an Outpatient Clinic. (with Song-Hee Kim and Won Chul Cha). [PDF].
  • Appendix to "A Data-Driven Model of an Appointment-Generated Arrival Processes at an Outpatient Clinic". (with Song-Hee Kim and Won Chul Cha). [PDF].
  • Slides for talk at INFORMS 2015 in Philadelphia (with Song-Hee Kim and Won Chul Cha). [PDF].

Hong Chen,

• Diffusion Approximations for Open Queueing Networks with Service Interruptions. Queueing Systems, vol. 13, No. 4, 1993, pp. 335-359.

MoonSoo Choi, Master of Science in Industrial Engineering, IEOR DEPT, Columbia University

• Managing the Pace of Play in Golf. 2017, (with MoonSoo Choi and Qi Fu),

Edward G. Coffman, Jr., Department of Electrical Engineering, Columbia University

• Recent Asymptotic Results in the Probabilistic Analysis of Schedule Makespans. Scheduling Theory and its Applications, P. Chrétienne, E. G. Coffman, Jr., J. K. Lenstra and Z. Liu (eds.), Wiley, New York, 1995, pp. 15-31.
• Stochastic Limit Laws for Schedule Makespans. Stochastic Models, vol. 12, No. 2, 1996, pp. 215-243 (with E. G. Coffman, Jr. and Leopold Flatto). [published PDF]

Charles (Chuck) Crow, IV, Columbia University doctoral student

• Two-Moment Approximations for Maxima. working paper, 2005. (with Chuck Crow and David Goldberg). [PDF]
• Two-Moment Approximations for Maxima: supplement. working paper, 2005. Supporting material for paper with same title. (with Chuck Crow and David Goldberg). [PDF]

Jimmie L. Davis, President, STEMflorida

• Sensitivity to the Service-Time Distribution in the Nonstationary Erlang Loss Model. Management Science, vol. 41, No. 6, 1995, pp. 1107-1116 (with Jimmie L. Davis and Bill Massey). [published PDF]

Emanuel Derman, Professor and Director of the Masters of Science Program in Financial Engineering, IEOR Dept., Columbia University

• Markov Chain Models to Estimate the Premium for Extended Hedge Fund Lockups. Wilmott Journal, vol. 1, No. 5-6, October-December 2009, pp. 263-293 (with Emanuel Derman and Kunsoo Park). [PDF].
• A Stochastic-Difference-Equation Model for Hedge-Fund Relative Returns. Quantitative Finance, vol. 10, 2010, pp. 701-733, (with Emanuel Derman and Kunsoo Park) [PDF].

Ralph Disney (1928-2014)

• Queueing Theory. McGraw-Hill Yearbook of Science and Technology, McGraw-Hill, New York, 1991, pp. 377-383 (with R. C. Larson and M. A. Wortman).

James Dong, doctoral student, ORIE Dept., Cornell University

• Stochastic Grey-Box Modeling of Queueing Systems: Fitting Birth-and-Death Processes to Data. Queueing Systems, vol. 79, 2015, pp. 391-426. (with James Dong). [PDF].
• Using a Birth-and-Death Process to Estimate the Steady-State Distribution of a Periodic Queue. Naval Research Logistics, vol. 62, No. 8, December 2015, pp. 664-685, DOI 10.1002nav.21672 (with James Dong). [PDF]
  • Stationary Birth-and-Death Processes Fit to Queues with Periodic Arrival Processes. Earlier version (with James Dong). [PDF].
  • Appendix to "Stationary Birth-and-Death Processes Fit to Queues with Periodic Arrival Processes". (with James Dong) [PDF].

Peter Donnelly, Department of Statistics, University of Oxford

• On Reinforcement-Depletion Compartmental Urn Models. Journal of Applied Probability, vol. 26, No. 3, 1989, pp. 477-489.

Stephen G. Eick,, Thought Leader, VisTracks

• The Physics of The M_t/G/infty Queue. Operations Research, vol. 41, No. 4, 1993, pp. 731-742 (with Stephen G. Eick). [published PDF]
• M_t/G/infty Queues with Sinusoidal Arrival Rates. Management Science, vol. 39, No. 2, 1993, pp. 241-252 (with Stephen G. Eick). [published PDF]

Zohar Feldman, Research Engineer, IBM, Armonk: Analytics and Optimization

• Staffing of Time-Varying Queues to Achieve Time-Stable Performance. working paper, 2004. Revised 2005. Submitted to Management Science. (with Zohar Feldman, Avishai Mandelbaum and Bill Massey) [PDF].
• Staffing of Time-Varying Queues to Achieve Time-Stable Performance, Unabridged Version: Internet Supplement. working paper, 2005. (with Zohar Feldman, Avishai Mandelbaum and Bill Massey) [PDF].

Anja Feldmann, Computer Science Department, Technical University of Berlin, Germany

• Fitting Mixtures of Exponentials to Long-Tail Distributions to Analyze Network Performance Models. IEEE Infocom `97, 1997, pp. 1098-1106. [published PDF]
• Fitting Mixtures of Exponentials to Long-Tail Distributions to Analyze Network Performance Models. Performance Evaluation, vol. 31, 1998, pp. 245-279 (with Anja Feldmann). [published PDF]

Leo Flatto, Mathematics Sciences Research Center, Bell Labs, retired

• Stochastic Limit Laws for Schedule Makespans. Stochastic Models, vol. 12, No. 2, 1996, pp. 215-243 (with E. G. Coffman, Jr.). [published PDF]

Qi Fu, Credit Suisse, Eleven Madison Avenue, New York, NY, USA

• Analyzing the Pace of Play in Golf. Journal of Sports Analytics, vol. 1, No. 1, 2015, pp. 43-64 (with Qi Fu), DOI 10.3233/JSA-150004. [PDF]
• Managing the Pace of Play in Golf. 2017, (with MoonSoo Choi and Qi Fu),

David A. Goldberg, ISyE Dept, Georgia Tech

• Two-Moment Approximations for Maxima. working paper, 2005. (with Chuck Crow and David Goldberg). [PDF]
• Two-Moment Approximations for Maxima: supplement. working paper, 2005. Supporting material for paper with same title. (with Chuck Crow and David Goldberg). [PDF]

Daniel Goroff, Vice President and Program Director, Alfred P. Sloan Foundation.

• Approximating the Admissible Set in Stochastic Dominance. Journal of Economic Theory, vol. 23, No. 2, October 1980, pp. 218-235. [published PDF]

Linda V. Green, Graduate School of Business, Columbia University

• Coping with Time-Varying Demand when Setting Staffing Requirements for a Service System. working paper, 2005. Production and Operations Management (POMS), forthcoming. (with Linda V. Green and Peter J. Kolesar). [PDF]

Nathaniel Grier,

• The Time-Dependent Erlang Loss Model with Retrials. Proceedings of INFORMS Telecommunications Conference, Telecommunications Systems, R. B. Cooperand and R. Doverspike (eds.), vol. 7, 1997, pp. 253-265 (with Nathaniel Grier, William A. Massey and Tyrone McKoy). [PostScript] [PDF] [published PDF]

Varun Gupta, The University of Chicago Booth School of Business School

• Analysis of Join-the-Shortest-Queue Routing for Web Server Farms. Performance Evaluation, vol. 64, October 2007, pp. 1062-1081. IFIP 7.3 International Symposium on Computer Performance, Modeling, Measurements and Evaluation (Performance 2007), Cologne, Germany, October 2007. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].
  • Simulation Results for JSQ Server Farms with Processor Sharing Servers. Supporting material for the paper above. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].

Shlomo Halfin, 1934-2009 (colleague at Bell Labs)

• Heavy-Traffic Limits for Queues with Many Exponential Servers. Operations Research, vol. 29, No. 3, May-June 1981, pp. 567-588 (with Shlomo Halfin). [published PDF]
• An Extremal Property of the FIFO Discipline Via An Ordinal Version of L = W. Stochastic Models, vol. 5, No. 3, 1989, pp. 515-529. [published PDF]

Ahmad Al Hanbali, Twente University, the Netherlands

• The Asymptotic Variance of Departures in Critically Loaded Queues. Advances in Applied Probability, vol. 43, No. 1, 2011, pp. 243-263 (with Ahmad Al Hanbali, Michel Mandjes and Yoni Nazarathy). [PDF].

Mor Harchol-Balter, CS Dept, Carnegie Mellon University

• Analysis of Join-the-Shortest-Queue Routing for Web Server Farms. Performance Evaluation, vol. 64, October 2007, pp. 1062-1081. IFIP 7.3 International Symposium on Computer Performance, Modeling, Measurements and Evaluation (Performance 2007), Cologne, Germany, October 2007. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].
  • Simulation Results for JSQ Server Farms with Processor Sharing Servers. Supporting material for the paper above. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].

Beixiang He, PhD from North Carolina State University, main advisor Yunan Liu

• Staffing a Service System with Non-Poisson Nonstationary Arrivals. Probability in the Engineering and Informational Sciences, vol. 30, June 2016, pp. 593-621. doi.10.1017/S206996481600019X (with Beixiang He and Yunan Liu). [PDF].

Daniel P. Heyman, AT&T Labs, retired

• The Asymptotic Behavior of Queues with Time-Varying Arrival Rates. Journal of Applied Probability, vol. 21, No. 1, March 1984, pp. 143-156.
• Limits for Queues as the Waiting Room Grows. Queueing Systems, vol. 5, No. 4, 1989, pp. 381-392. [PDF] [published PDF]

Gísli Hjálmtýsson, formerly Computer Science Department, Reykjavik University, Iceland

• Periodic Load Balancing. Queueing Systems, vol. 30, Nos. 1-2, 1998, pp. 203-250. [PostScript] [PDF] [published PDF]
• Approximations for Periodic Load Balancing. 37th IEEE Conference on Decision and Control, Tampa, Florida. [published PDF]

Otis B. Jennings, Big Data Advaanced Analytics at AT&T

• Server Staffing to Meet Time-Varying Demand. Management Science, vol. 42, No. 10, 1996, pp. 1383-1394 (with Otis B. Jennings and Avishai Mandelbaum). [published PDF]

Wanmo Kang, Department of Mathematical Sciences, KAIST, Seoul, Korea

• Exploiting Regenerative Structure to Estimate Finite Time Averages via Simulation. ACM Transactions on Modeling and Computer Simulation (TOMACS), forthcoming. (with Wanmo Kang and Perwez Shahabuddin). [PDF]
• Exploiting Regenerative Structure to Estimate Finite Time Averages via Simulation: Supplementary Material. working paper, 2005. Supporting material for paper with same title. (with Wanmo Kang and Perwez Shahabuddin). [PDF]

Masaaki Kijima, Graduate School of Economics, Kyoto University

• Decompositions of the M/M/1 Transition Function. Queueing Systems, vol. 9, No. 3, 1991, pp. 323-336 (with Joseph Abate). [published PDF]

John G. Klincewicz, Senior Technical Specialist in the Network Design and Performance Analysis Department of AT&T Labs

• On Approximations for Queues, II: Shape Constraints, AT&T Bell Laboratories Technical Journal, vol. 63, No. 1, January 1984, pp. 139-161. [published PDF]

Peter J. Kolesar, Emeritus Professor,Graduate School of Business, Columbia University

• Coping with Time-Varying Demand when Setting Staffing Requirements for a Service System. working paper, 2005. Production and Operations Management (POMS), forthcoming. (with Linda V. Green and Peter J. Kolesar). [PDF]

Richard C. Larson, Operations Research Center, MIT

• Queueing Theory. McGraw-Hill Yearbook of Science and Technology, McGraw-Hill, New York, 1991, pp. 377-383 (with M. A. Wortman and R. L. Disney).

Andrew Li, doctoral student, OR Center, MIT

• Approximate Blocking Probabilities for Loss Models with Independence and Distribution Assumptions Relaxed. Performance Evaluation, vol. 80, 2014, pp. 82-101 (with Andrew Li) [PDF].
• Staffing to Stabilize Blocking in Loss Models with Time-Varying Arrival Rates, Probability in the Engineering and Informational Sciences, vol. 30, No. 2, April 2016, pp. 185-211, doi:10.1017/S0269964815000340 (with Andrew Li and Jingtong Zhao). [PDF]

Armand Makowski, Department of Electrical Engineering, University of Maryland

• On Averages Seen By Arrivals in Discrete Time. Proceedings of the 28th IEEE Conference on Decision and Control, December 1989, pp. 1084-1086 (with Benjamin Melamed). [published PDF]

Michel Mandjes, the University of Amsterdam and CWI, the Netherlands

• The Asymptotic Variance of Departures in Critically Loaded Queues. Advances in Applied Probability, vol. 43, No. 1, 2011, pp. 243-263 (with Ahmad Al Hanbali, Michel Mandjes and Yoni Nazarathy). [PDF].

Clement McCalla, AT&T

• Applications of the Infinite-Server Queue to the Management of Private Line Services. Proceedings of 1997 AT&T Services and Infrastructure Symposium (SIPS-97), Middletown, NJ, November 18-19, 1997, pp. 132-141 (with William A. Massey).
• A Time-Dependent Queueing Network Model to Describe the Life-Cycle Dynamics of a Family of Private-Line Telecommunications Services. Telecommunication Systems, vol. 17, No. 1, 2002, pp. 9-38. [PostScript] [PDF] [published PDF]

Tyrone McKoy, Mathematics Department, The Community College of Baltimore County, CCBC Dundalk ([email protected])

• The Time-Dependent Erlang Loss Model with Retrials. Proceedings of INFORMS Telecommunications Conference, Telecommunications Systems, R. B. Cooperand and R. Doverspike (eds.), vol. 7, 1997, pp. 253-265 (with Nathaniel Grier, William A. Massey). [published PDF]

Yoni Nazarathy, Probability and Statistics Group, the University of Queensland

• The Asymptotic Variance of Departures in Critically Loaded Queues. Advances in Applied Probability, vol. 43, No. 1, 2011, pp. 243-263 (with Ahmad Al Hanbali, Michel Mandjes and Yoni Nazarathy). [PDF].

Ardavan Nozari, Nozari Advisors, New York City

• Estimating Average Production Intervals Using Inventory Measurements: Little's Law for Partially Observable Processes. Operations Research, vol. 36, No. 2, March-April 1988, pp. 208-223.

Geraldine A. Parker, undergraduate advisee at Bell Labs

• Estimating the Parameters of a Nonhomogeneous Poisson Process with Linear Rate. Telecommunication Systems, vol. 5, 1996, pp. 361-388 (with William A. Massey). [PostScript] [PDF] [published PDF]

Martin I. Reiman, Bell Labs, Lucent; IEOR Dept. at Columbia University since 2016

• Fluid and Diffusion Limits for Queues in Slowly Changing Random Environments. Stochastic Models, vol. 13, No. 1, 1997, pp. 121-146 (with Gagan Choudhury, Avishai Mandelbaum and Martin I. Reiman). [published PDF]

Otmar Schlunk, Moby Games

• Using Distributed-Event Parallel Simulation to Study Many Queues in Series. Probability in the Engineering and Informational Sciences, vol. 7, No. 2, 1993, pp. 159-186 (with Albert G. Greenberg). [PostScript] [PDF]

Moshe Segal, supervisor at AT&T, retired

• A Queueing Network Analyzer for Manufacturing. Teletraffic Science for New Cost-Effective Systems, Networks and Services, Proceedings of ITC 12 (ed. M. Bonatti), North-Holland, Amsterdam, 1989, pp. 1146-1152 (with Moshe Segal). [published PDF]

Perwez Shahabuddin (1962-2005), Professor in IEOR Department, Columbia University, deceased, November 17, 2005

• Exploiting Regenerative Structure to Estimate Finite Time Averages via Simulation. ACM Transactions on Modeling and Computer Simulation (TOMACS), forthcoming. (with Wanmo Kang and Perwez Shahabuddin). [PDF]
• Exploiting Regenerative Structure to Estimate Finite Time Averages via Simulation: Supplementary Material. working paper, 2005. Supporting material for paper with same title. (with Wanmo Kang and Perwez Shahabuddin). [PDF]

Nahum Shimkin, Electrical Engineering Department, The Technion

• The Impact of Delay Announcements in Many-Server Queues with Abandonment. working paper, 2005. Submitted to Management Science. (with Mor Armony and Nahum Shimkin). [PDF]
• The Impact of Delay Announcements in Many-Server Queues with Abandonment: Supplementary Material. working paper, 2005. Supporting material for paper with same title. (with Mor Armony and Nahum Shimkin). [PDF]

Martin Shubik, Department of Economics, Yale University

• Fiat Money in an Economy with one Nondurable Good and No Credit (A Noncooperative Sequential Game). Topics in Differential Games, A. Blaquiere (Editor), North-Holland Publishing Co., 1973, pp. 401-448. [published PDF].

Xu Sun, doctoral student, IEOR Dept., Columbia University

• Creating Work Breaks from Available Idleness. (with Xu Sun). [PDF].
  • Appendix to: "Creating Work Breaks from Available Idleness" (with Xu Sun). [PDF].

S. Suresh, PhD from North Carolinna State University, Bell Labs colleague.

• Arranging Queues in Series: A Simulation Experiment. Management Science , vol. 36, No. 2, 1990, pp. 1080-1091. [PostScript] [PDF]
• The Heavy-Traffic Bottleneck Phenomenon in Open Queueing Networks. Operations Research Letters, vol. 9, No. 6, 1990, pp. 355-362 (with S. Suresh). [published PDF]

Ponni Vel, undergraduate student, IEOR Dept., Columbia University; consultant at Oliver Wyman

• Poisson and Non-Poisson Properties in Appointment-Generated Arrival Processes: the Case of an Endocrinology Clinic. Operations Research Letters, vol 43, 2015, pp. 247-253 (with Song-Hee Kim, Ponni Vel and Won Chul Cha). [PDF].
  • Appendix to "Poisson and Non-Poisson Properties in Appointment-Generated Arrival Processes: the Case of an Endocrinology Clinic". (with Song-Hee Kim, Ponni Vel and Won Chul Cha). [PDF].

Rodney B. Wallace, IBM ([email protected])

• A Staffing Algorithm for Call Centers with Skill-Based Routing. Manufacturing and Service Operations Management (M&SOM), vol. 7, 2005, pp. 276-294 (with Rodney B. Wallace). [published PDF]
  • A Staffing Algorithm for Call Centers with Skill-Based Routing: Supplementary Material. (Extra material related to previous paper), 2004. (with Rodney B. Wallace). [PDF]

Amy R. Ward, Marshall School of Business, University of Southern California

• Predicting Response Times in Processor-Sharing Queues. In Analysis of Communication Networks: Call Centres, Traffic and Performance, Proceedings of the Fields Institute Conference on Communication Networks, D. J. MacDonald and S. J. Turner, (eds.), American Math. Society, Providence, RI, 2000, pp. 1-29. [PostScript] [PDF]

Martin A. Wortman, Department of Industrial Engineering, Texas A&M

• Queueing Theory. McGraw-Hill Yearbook of Science and Technology, McGraw-Hill, New York, 1991, pp. 377-383 (with R. C. Larson and R. L. Disney).

Wei You, doctoral student, IEOR Dept., Columbia University

• Using Robust Queueing to Expose the Impact of Dependence in Single-Server Queues, submitted to Operations Research (with Wei You) [PDF].
• Time-Varying Robust Queueing, submitted to Operations Research (with Wei You) [PDF].
• Heavy-Traffic Limit of the GI/GI/1 Stationary Departure Process and its Variance Function, Stochastic Systems, vol. 8, No. 2, 2018, pp. 143-165, DOI 10.1287/stsy.2018.0011 (with Wei You). [PDF].
• The Advantage of Indices of Dispersion in Queueing Approximations. Operations Research Letters, vol. 47, 2019, pp. 99-104; doi/10.1016/j.orl.2019.01.001 (with Wei You). [PDF].
• Heavy Traffic Limits for Stationary Network Flows. Queueing Systems, vol. 95, 2020, pp. 53-68; doi/10.1007/s11134-019-09645-8 (with Wei You). [PDF].
  • Longer version. (with Wei You) [PDF].
• A Robust Queueing Network Analyzer Based on Indices of Dispersion. Naval Research Logistics, vol. 69, Number 1, February 2022, pp. 36-56; https://doi.org/10.1002/nav.22010 (with Wei You). [PDF].
  • Supplement to: "A Robust Queueing Network Analyzer Based on Indices of Dispersion" (with Wei You). [PDF].

Yao Yu, doctoral student, North Carolina State University, main advior Yunan Liu

• Approximations for Heavily-Loaded G/GI/n+GI Queues. Naval Research Logistics, vol. 63, No. 3, April 2016, pp. 187-217, DOI: 10.1002/nav.21688 (with Yunan Liu and Yao Yu). [PDF].

Xiaopei Zhang, doctoral student, IEOR Dept., Columbia University

• A Data-Driven Model of an Emergency Department. Operations Research for Health Care, vol. 12, No. 1, 2017, pp. 1-15. DOI: 10.1016/j.orhc.2016.11.001 [PDF].
  • A Data-Driven Model of an Emergency Department, Appendix: Additional Details. [PDF].

  Periodic Little's Law, Operations Research, vol. 67, No. 1, January-February 2019, pp. 267-280; doi/10.1287/opre.2018.1766 [PDF].

• A Central-Limit-Theorem Version of the Periodic Little's Law, Queueing Systems, vol. 91, 2019, pp. 15-47; doi/10.1007/s11134-018-9588-8 [PDF].
• Forecasting Arrivals and Occupancy Levels in an Emergency Department. Operations Research for Health Care, vol. 21, 2019, pp. 1-18, https://doi.org/10.1016/j.orhc.2019.01.002, (with Xiaopei Zhang). [PDF].

Jingtong Zhao, undergraduate, then doctoral student, IEOR Dept., Columbia University

• Staffing to Stabilize Blocking in Loss Models with Time-Varying Arrival Rates, Probability in the Engineering and Informational Sciences, vol. 30, No. 2, April 2016, pp. 185-211, doi:10.1017/S0269964815000340 (with Andrew Li and Jingtong Zhao). [PDF]
• Staffing to Stabilize Blocking in Loss Models with Non-Markovian Arrivals. (with Jingtong Zhao). [PDF].