Publications
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Stochastic (max,+) linear systems
- J.K. Kim and H. Ayhan, Tandem Queues with Subexponential Service Times
and Finite Buffers, under review , [paper: paper ].
- H. Ayhan and J.K. Kim, A General Class of Closed Fork and
Join Queues with Subexponential Service Times, Stochastic Models , 23, (2007), 523--535
- H. Ayhan, Asymptotics
of Closed Fork and Join Queues with Subexponential
Service Times, [paper: paper ]
- H. Ayhan , Zbigniew Palmowski and Sabine Schelegel,
Cyclic Queueing Networks with Subexponential Service
Times , Journal of Applied Probability, 41, (2004),
791-801.
- H. Ayhan and D-W. Seo, Tail Probability of
Transient and Stationary Waiting Times in (max,+)-Linear
Systems , IEEE Trans. on Automatic Control
, 47-1, (2002), 151-157 ,
- H. Ayhan and D-W. Seo, Laplace Transform
and Moments of Waiting Times in (Max,+) Linear
Systems with Poisson Input, QUESTA., 37,
(2001), 405-438.
- H. Ayhan and F. Baccelli,Expansions
for Joint Laplace Transform of Stationary
Waiting Times in (Max,+) Linear Systems with
Poisson Input, QUESTA. , 37, (2001), 291-328.
, full paper: full (376 Kbytes)
- A.F. de Kort, B. Heidergott and H. Ayhan,
A Probabilistic (max,+) Approach for Determining
Railway Infrastructure Capacity, EJOR ,
148, (2003), 644-661.
- H. Ayhan and M.A. Wortman,
, Job Flow Control in Assembly Operations,
IEEE Trans. on Automatic Control
, 44, (1999), 864-868.
- H. Ayhan and M.A. Wortman,
, An Approximation for Computing the
Throughput of Closed Assembly-Type Queueing
Networks, EJOR , 112, (1999), 107-121
Series Expansions
- H. Ayhan and S. Schlegel, Expansion Formulae
for Characteristics of Cumulative Cost in Finite
Horizon Production Models, EJOR, 132, (2001),
50-61.
The fourth, fifth and sixth papers in the above
category also fit into this area of research.
Markov Decision Processes with applications to admission and production/inventory
control
- Bo Zhang and H. Ayhan, Optimal Admission Control for Tandem
Queues with Loss,
under review , [paper: paper ].
- S. Andradottir
, H. Ayhan, and D. G. Down , Design Principles for Flexible Systems,
under review , [paper: paper ].
- H. Eser Kirkizlar, S. Andradottir
, and H. Ayhan, Flexible Servers in Understaffed Tandem Lines,
under review , [paper: paper ].
- H. Eser Kirkizlar, S. Andradottir
, and H. Ayhan, Robustness of Effective Server Assignment
Policies to Service Time Distributions,
under review , [paper: paper ].
- S. Andradottir
, H. Ayhan, and D. G. Down , Queueing Systems with Synergistic Servers,
under review , [paper: paper ].
- S. Andradottir
, H. Ayhan, and D. G. Down , Maximizing
the Throughput of Tandem Lines with Flexible Failure-Prone Servers and
Finite Buffers,
Probability in Engineering and Informational Sciences, 22, (2008), 191--211
- S. Ziya
, H. Ayhan, and R. D. Foley ,
Optimal Pricing for Finite Capacity Queueing Systens with
Multiple Customer Classes, Naval Research Logistics, 55, (2008), 412--418.
- I. Maoui, H. Ayhan, and R. D. Foley ,
Congestion Dependent Pricing in a Stochastic Service System,
Advances in Applied Probability, 39, (2007), 898--921.
- S. Andradottir
, H. Ayhan, and D. G. Down , Dynamic
Assignment of Dedicated and flexible Servers in tandem Lines,
Probability in Engineering and Informational Sciences, 21, (2007), 497--538
- I. Maoui, H. Ayhan, and R. D. Foley ,
Optimal Static Pricing for a Service Facility with Holding
Costs, to appear EJOR
- T. Aktaran-Kalayci, and H. Ayhan,
Sensitivity of Optimal Prices to System Parameters in a Service
Facility, EJOR, 193, (2009), 120--128
- S. Ziya
, H. Ayhan, R. D. Foley, and E.
Pekoz , A Monotonicity Result for the Blocking Probability
in a G/GI/c/m Queueing System, Journal of Applied
Probability,43,
(2006), 1201--1205.
- S. Ziya
, H. Ayhan, and R. D. Foley
, Optimal Pricing for Finite Capacity Queueing Systems,
OR Letters 34, (2006) 214-218.
- S. Ziya
, H. Ayhan, and R. D. Foley ,
Relationships Among Three Assumptions in Revenue Management,
Operations Research 52, (2004) 804-809.
- S. Andradottir
, H. Ayhan, and D. G. Down , Compensating
for Failures with Flexible Servers, Operations
Research, 55, (2007), 753--768.
- S. Andradottir
, and H. Ayhan , Throughput Maximization for Tandem
Lines with Two Stations and Flexible Servers,
Operations Research 53, (2005) 516-531.
- S. Andradottir
, H. Ayhan, and D. G. Down , Dynamic
Server Allocation for Queueing Networks
with Flexible Servers, Operations Research
51, (2003) 952-968
- S. Andradottir
, H. Ayhan, and D. G. Down , Server
Assignment Policies for Maximizing the
Steady-State Throghput of Finite Queueing Sytems,
Management Science 47, (2001) 1421-1439
-
M. Lewis
, H. Ayhan, and R. D. Foley , Optimal
Admission Policies for a Multi-Class Nonstationary
Queueing System, Journal of Applied Probability.
39, (2002) 20-37.
- M. Lewis
, H. Ayhan, and R.
D. Foley , Bias Optimality in a Queue
with Admission Control, Probability in the
Engineering and Informational Sciences. 13, (1999),
309-327.
- H. Arslan, H. Ayhan, and T.L. Olsen
,Analytic Models for When and How to Expedite
in Make-To-Order Systems, IIE Transactions,
33 (2001) 1019-1029.
Others
- J. Chang, H.
Ayhan, J.G. Dai
and Cathy H. Xia , Dynamic scheduling of a multiclass
fluid model with transient overload, QUESTA
48, (2004) 263-307 longer version
.
-
H. Ayhan and T.L. Olsen
, Scheduling of a Multi-Class Single Server Queue Under Non-Traditional
Performance Measures, Operations Research , 48, (2000), 482-489.
- H. Ayhan, J. Limon-Robles and M.A. Wortman,
,On the Time-Dependent Occupancy and
Backlog Distributions for the $GI/G/\infty$ Queue,
Journal of Applied Probability , 36, 1999,
558-569.
- H. Ayhan, J. Limon-Robles and M.A. Wortman,
,An Approach for Computing Tight Numerical
Bounds on Renewal Functions, IEEE Trans.
on Reliability , 48, 1999, 182-188.
- G-A.
Klutke, , M.A. Wortman,
and H. Ayhan, The Availability of Inspected
Systems Subjected to Random Deterioration, Probability
in the Engineering and Informational Sciences.
, 10, 1996, 109-118.
- M.A. Wortman,
,G-A.
Klutke, , and H. Ayhan, A Maintenance
Strategy for Systems Subjected to Deterioration
Governed by Random Shocks, IEEE Trans. on Reliability
, 43, (1994), 439-445.
Last Modified:
March 2005.