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Charles Tier - Publications

Affiliations: 
University of Illinois at Chicago, Chicago, IL, United States 
Area:
Mathematics
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46 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2005 Simakhina SV, Tier C. Computing the stability regions of Hill's equation Applied Mathematics and Computation. 162: 639-660. DOI: 10.1016/J.Amc.2004.01.002  0.349
2001 Knessl C, Tier C. A simple fluid model for servicing priority traffic Ieee Transactions On Automatic Control. 46: 909-914. DOI: 10.1109/9.928594  0.311
1999 Choi DI, Knessl C, Tier C. A queueing system with queue length dependent service times, with applications to cell discarding in ATM networks Journal of Applied Mathematics and Stochastic Analysis. 12: 35-62. DOI: 10.1155/S1048953399000052  0.465
1999 Knessl C, Tier C. Two tandem queues with general renewal input II: asymptotic expansions for the diffusion model Siam Journal On Applied Mathematics. 59: 1960-1997. DOI: 10.1137/S0036139997328477  0.441
1999 Knessl C, Tier C. Two tandem queues with general renewal input I: diffusion approximation and integral representations Siam Journal On Applied Mathematics. 59: 1917-1959. DOI: 10.1137/S0003613999732846  0.463
1999 Knessl C, Tier C. A ray approximation to a PDE that arises in the study of tandem queues Studies in Applied Mathematics. 102: 87-120. DOI: 10.1111/1467-9590.00105  0.349
1999 Knessl C, Tier C. A diffusion model for two tandem queues with general renewal input Stochastic Models. 15: 299-343. DOI: 10.1080/15326349908807538  0.457
1998 Knessl C, Tier C. Heavy traffic analysis of a Markov-modulated queue with finite capacity and general service times Siam Journal On Applied Mathematics. 58: 257-323. DOI: 10.1137/S003613995293853  0.474
1998 Knessl C, Tier C. Asymptotic approximations and bottleneck analysis in product form queueing networks with large populations Performance Evaluation. 33: 219-248. DOI: 10.1016/S0166-5316(98)00018-2  0.348
1996 Knessl C, Tier C. Mean time for the development of large workloads and large queue lengths in the GI/G/1 queue Journal of Applied Mathematics and Stochastic Analysis. 9: 107-142. DOI: 10.1155/S1048953396000147  0.422
1996 Knessl C, Tier C. Asymptotic properties of first passage times for two tandem queues:time to empty the system Stochastic Models. 12: 633-672. DOI: 10.1080/15326349608807404  0.476
1994 Mei J, Tier C. Asymptotic approximations for a queueing network with multiple classes Siam Journal On Applied Mathematics. 54: 1147-1180. DOI: 10.1137/S0036139992239443  0.313
1994 Knessl C, Tier C. A processor-shared queue that models switching times: heavy usage asymptotics Siam Journal On Applied Mathematics. 54: 854-875. DOI: 10.1137/S0036139992235068  0.481
1994 Knessl C, Tier C, Matkowsky BJ, Schuss Z. A state-dependent GI/G/1 queue European Journal of Applied Mathematics. 5: 217-241. DOI: 10.1017/S0956792500001418  0.527
1993 Mangel M, Tier C. Dynamics of Metapopulations with Demographic Stochasticity and Environmental Catastrophes Theoretical Population Biology. 44: 1-31. DOI: 10.1006/Tpbi.1993.1016  0.349
1992 Knessl C, Tier C. A processor-shared queue that models switching times: normal usage Siam Journal On Applied Mathematics. 52: 883-899. DOI: 10.1137/0152050  0.451
1992 Mankus ML, Tier C. Asymptotic analysis of an integrated digital network Siam Journal On Applied Mathematics. 52: 234-269. DOI: 10.1137/0152013  0.378
1992 Knessl C, Tier C. Asymptotic expansions for large closed queueing networks with multiple job classes Ieee Transactions On Computers. 41: 480-488. DOI: 10.1109/12.135560  0.37
1991 Mei JD, Tier C. Asymptotic analysis of multiple class queueing networks Applied Mathematics Letters. 4: 35-38. DOI: 10.1016/0893-9659(91)90140-Q  0.313
1990 Knessl C, Matkowsky BJ, Schuss Z, Tier C. An analytical approach to the M/G/2 queue Operations Research. 38: 506-518. DOI: 10.1287/Opre.38.3.506  0.644
1990 Knessl C, Tier C. Asymptotic expansion for large closed queuing networks Journal of the Acm. 37: 144-174. DOI: 10.1145/78935.78940  0.416
1989 Knessl C, Tier C, Matkowsky BJ, Schuss Z. Response times in processor-shared queues with state-dependent arrival rates Communications in Statistics. Stochastic Models. 5: 83-113. DOI: 10.1080/15326348908807100  0.626
1988 Knessl C, Matkowsky BJ, Schuss Z, Tier C. A state dependent M/M/1 queue: a production-inventory model Applied Mathematics Letters. 1: 235-239. DOI: 10.1016/0893-9659(88)90083-3  0.556
1987 Knessl C, Matkowsky BJ, Schuss Z, Tier C. ASYMPTOTIC EXPANSIONS FOR A CLOSED MULTIPLE ACCESS SYSTEM Siam Journal On Computing. 16: 378-398. DOI: 10.1137/0216028  0.633
1987 Knessl C, Matkowsky BJ, Schuss Z, Tier C. The two repairman problem: a finite source M/G/2 queue Siam Journal On Applied Mathematics. 47: 367-397. DOI: 10.1137/0147024  0.627
1987 Knessl C, Matkowsky BJ, Schuss Z, Tier C. Two Parallel M/G/1 Queues Where Arrivals Join the System with the Smaller Buffer Content Ieee Transactions On Communications. 35: 1153-1158. DOI: 10.1109/Tcom.1987.1096701  0.566
1987 Knessl C, Schuss Z, Tier C, Matkowsky BJ. Distribution of the maximum buffer content during a busy period for state-dependent M/G/L queues Communications in Statistics. Stochastic Models. 3: 191-226. DOI: 10.1080/15326348708807053  0.613
1987 Knessl C, Matkowsky BJ, Schuss Z, Tier C. Busy period distribution in state-dependent queues Queueing Systems. 2: 285-305. DOI: 10.1007/Bf01158903  0.634
1987 Knessl C, Matkowsky BJ, Schuss Z, Tier C. A Markov-modulated M/G/1 queue II: Busy period and time for buffer overflow Queueing Systems. 1: 375-399. DOI: 10.1007/Bf01150671  0.636
1986 Baer SM, Tier C. An analysis of a dendritic neuron model with an active membrane site Journal of Mathematical Biology. 23: 137-161. PMID 3958632 DOI: 10.1007/Bf00276954  0.668
1986 Knessl C, Matkowsky BJ, Schuss Z, Tier C. Two Parallel Queues with Dynamic Routing Ieee Transactions On Communications. 34: 1170-1175. DOI: 10.1109/Tcom.1986.1096486  0.608
1986 Knessl C, Schuss Z, Tier C, Matkowsky BJ. System crash in a finite capacity M/G/1 queue Communications in Statistics. Stochastic Models. 2: 171-201. DOI: 10.1080/15326348608807032  0.631
1986 Knessl C, Schuss Z, Tier C, Matkowsky BJ. A finite capacity single-server queue with customer loss Communications in Statistics. Stochastic Models. 2: 97-121. DOI: 10.1080/15326348608807026  0.654
1986 Knessl C, Matkowsky BJ, Schuss Z, Tier C. ASYMPTOTIC ANALYSIS OF A STATE-DEPENDENT M/G/1 QUEUEING SYSTEM Siam Journal On Applied Mathematics. 46: 483-505. DOI: 10.1016/0166-5316(85)90015-X  0.684
1986 Knessl C, Matkowsky BJ, Schuss Z, Tier C. Boundary behavior of diffusion approximations to Markov jump processes Journal of Statistical Physics. 45: 245-266. DOI: 10.1007/Bf01033090  0.59
1986 Knessl C, Matkowsky BJ, Schuss Z, Tier C. A singular perturbation approach to first passage times for Markov jump processes Journal of Statistical Physics. 42: 169-184. DOI: 10.1007/Bf01010845  0.625
1985 Knessl C, Matkowsky BJ, Schuss Z, Tier C. ASYMPTOTIC THEORY OF LARGE DEVIATIONS FOR MARKOV JUMP PROCESSES Siam Journal On Applied Mathematics. 45: 1006-1028. DOI: 10.1137/0145062  0.633
1984 Matkowsky BJ, Schuss Z, Knessl C, Tier C, Mangel M. Asymptotic solution of the Kramers-Moyal equation and first-passage times for Markov jump processes Physical Review A. 29: 3359-3369. DOI: 10.1103/Physreva.29.3359  0.626
1984 Knessl C, Mangel M, Matkowsky BJ, Schuss Z, Tier C. Solution of Kramers–Moyal equations for problems in chemical physics Journal of Chemical Physics. 81: 1285-1293. DOI: 10.1063/1.447815  0.604
1983 Matkowsky BJ, Schuss Z, Tier C. DIFFUSION ACROSS CHARACTERISTIC BOUNDARIES WITH CRITICAL POINTS Siam Journal On Applied Mathematics. 43: 673-695. DOI: 10.1137/0143046  0.578
1982 Tier C. An analysis of neutral-alleles and variable-environment diffusion models Journal of Mathematical Biology. 12: 53-71. DOI: 10.1007/Bf00275203  0.363
1981 Hanson FB, Tier C. An Asymptotic Solution of the First Passage Problem for Singular Diffusion in Population Biology Siam Journal On Applied Mathematics. 40: 113-132. DOI: 10.1137/0140009  0.435
1981 Tier C, Hanson FB. Persistence in density dependent stochastic populations Mathematical Biosciences. 53: 89-117. DOI: 10.1016/0025-5564(81)90041-9  0.42
1979 Tier C. A tri-allelic diffusion model with selection, migration, and mutation Bellman Prize in Mathematical Biosciences. 44: 41-60. DOI: 10.1016/0025-5564(79)90028-2  0.368
1978 Tier C, Keller JB. A Tri-Allelic Diffusion Model with Selection Siam Journal On Applied Mathematics. 35: 521-535. DOI: 10.1137/0135044  0.508
1978 Tier C, Keller JB. Asymptotic Analysis of Diffusion Equations in Population Genetics Siam Journal On Applied Mathematics. 34: 549-576. DOI: 10.1137/0134044  0.573
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