Professor


Contact

 Groseclose 428
  Contact

Education

  • Ph.D. Industrial & Operations Engineering (1979), The University of Michigan
  • M.S. Industrial & Operations Engineering (1976), The University of Michigan
  • B.S. Mathematics (1975), The University of Michigan

Expertise

  • Applied Probability

About

Robert Foley is a Professor in the H. Milton Stewart School of Industrial and Systems Engineering.

Research

My research is the area of stochastic processes especially analyzing rare events.

Teaching

I enjoy teaching courses in probability and  in stochastic processes.

Representative Publications

 

Foley, R. D., “The Non-Homogeneous M/G/∞ Queue,” Opsearch,
Vol. 19, pp. 40-48, March 1982.

Foley, R. D. and Frazelle, E. H., “Analytical Results for Miniload
Throughput and the Distribution of Dual Command Travel Times,”
IIE Transactions 23, pp. 273–281, 1991.

Robert D. Foley and David Goldsman, “Confidence Intervals Using
Orthonormally Weighted Standardized Time Series,” ACM Transac-
tions on Modelling and Computer Simulation, Vol. 9, No. 4, (1999),
297–325.

R. D. Foley and D. R. McDonald, “Join the Shortest Queue: Stability
and Exact Asymptotics,” Annals of Applied Probability, 11, pp. 569–
607, 2001.

John J. Bartholdi, III, Donald D. Eisenstein, and Robert D. Foley,
“Performance of Bucket Brigades when Work is Stochastic,” Opera-
tions Research, 49, 2001.

R. D. Foley and D. R. McDonald, “Large Deviations of a Modified
Jackson Network: Stability and Rough Asymptotics,” Annals of Ap-
plied Probability, 15, pp. 519–541, 2005.

R. D. Foley and D. R. McDonald, “Bridges and Networks: Exact
Asymptotics,” Annals of Applied Probability, 15, pp. 542–586, 2005.

I. Adan, R. D. Foley, and D. R. McDonald “Exact asymptotics for
the stationary distribution of a Markov chain: a production model,”
Queueing Systems, Vol. 62, pp. 311—344, 2009.

R. D. Foley, and D. R. McDonald “Constructing a harmonic func-
tion for an irreducible non-negative matrix with convergence pa-
rameter R > 1,” Bulletin of the London Mathematical Society, Vol. 44,
pp. 533—544, 2012.

R. D. Foley, and D. R. McDonald “Yaglom limits can depend on the
starting state,” Advances in Applied Probability, Advances in Applied
Probability, Vol. 50, pp. 1-34, 2018.