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IIE Transactions Volume 39, 2007 - Issue 10
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ORIGINAL ARTICLES

Approximate mean waiting time in a GI/D/1 queue with autocorrelated times to failures

Bariş Balcio[gtilde]lu Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Rd., Toronto, ON M5S 3G8, Canada
,
David L. Jagerman RUTCOR, Rutgers University, 640 Bartholomew Rd., Piscataway, NJ, 08854, USA
&
Tayfur Altiok Department of Industrial and Systems Engineering, Rutgers University, 96 Frelinghuysen Rd., Piscataway, NJ, 08854, USA
Pages 985-996 | Received 01 Sep 2006, Accepted 01 Dec 2006, Published online: 26 Sep 2007

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Mojtaba Araghi & Barış Balcıog˜lu. (2020) Using discrete event simulation to fit probability distributions for autocorrelated service times. INFOR: Information Systems and Operational Research 58:1, pages 124-140.
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Articles from other publishers (13)

Pedram Sahba, Barış Balcıog̃lu & Dragan Banjevic. (2015) The impact of disruption characteristics on the performance of a server. Annals of Operations Research 317:1, pages 239-252.
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B. Ya. Likhttsinder, I. A. Blatov & E. V. Kitaeva. (2022) On Estimates of the Mean Queue Length for Single-Channel Queuing Systems in Terms of Statistical Unconditional Second-Order Moments of the Modified Arrival Flow. Automation and Remote Control 83:1, pages 92-105.
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M. Buranova & I Kartashevskiy. (2021) Application of EM-Algorithm for Approximation of Correlated Traffic Probabilities Density by Hyperexponents. Proceedings of Telecommunication Universities 7:4, pages 10-17.
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Vyacheslav Kartashevskiy, Marina Buranova & Dinara Ergasheva. (2020) Application of EM-Algorithm for Approximation of Mixture Distribution by Hyperexponents for Correlated Traffic Processing Systems. Application of EM-Algorithm for Approximation of Mixture Distribution by Hyperexponents for Correlated Traffic Processing Systems.
Igor Blatov, Boris Likhttsinder & Elena Kitaeva. (2020) On Estimates of Average Queue Length for Queueing Systems in The Case of Correlated Input Flow. On Estimates of Average Queue Length for Queueing Systems in The Case of Correlated Input Flow.
Igor Kartashevskiy & Marina Buranova. 2019. Internet of Things, Smart Spaces, and Next Generation Networks and Systems. Internet of Things, Smart Spaces, and Next Generation Networks and Systems 610 620 .
Dieter Fiems & Stijn De Vuyst. (2018) From Exhaustive Vacation Queues to Preemptive Priority Queues with General Interarrival Times. International Journal of Applied Mathematics and Computer Science 28:4, pages 695-704.
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Marina Buranova, Olga Karaulova, Vyacheslav Kartashevskiy & Natalia Kireeva. (2017) An analysis of the waiting time for the M/G/1 system while processing a correlated traffic. An analysis of the waiting time for the M/G/1 system while processing a correlated traffic.
Hoang M. Tran & Satish T.S. Bukkapatnam. (2015) Modeling and analysis of the coupled dynamics of machine degradation and repair processes using piecewise affine stochastic differential equations. International Journal of Non-Linear Mechanics 76, pages 87-99.
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Pedram Sahba, Bariş Balciog̃lu & Dragan Banjevic. (2013) Analysis of the finite‐source multiclass priority queue with an unreliable server and setup time. Naval Research Logistics (NRL) 60:4, pages 331-342.
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Evsey Morozov, Dieter Fiems & Herwig Bruneel. (2011) Stability analysis of multiserver discrete-time queueing systems with renewal-type server interruptions. Performance Evaluation 68:12, pages 1261-1275.
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Thomas Demoor, Dieter Fiems, Joris Walraevens & Herwig Bruneel. 2010. Analytical and Stochastic Modeling Techniques and Applications. Analytical and Stochastic Modeling Techniques and Applications 59 71 .
Barış Balcıog˜lu, David L. Jagerman & Tayfur Altıok. (2008) Merging and splitting autocorrelated arrival processes and impact on queueing performance. Performance Evaluation 65:9, pages 653-669.
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