Two-parameter process limits for an infinite-server queue with arrival dependent service times
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DOI: 10.1016/j.spa.2016.08.003
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References listed on IDEAS
- Avishai Mandelbaum & Petar Momčilović, 2012. "Queues with Many Servers and Impatient Customers," Mathematics of Operations Research, INFORMS, vol. 37(1), pages 41-65, February.
- Hongyuan Lu & Guodong Pang & Yuhang Zhou, 2016. "$$G/{ GI}/N(+{ GI})$$ G / G I / N ( + G I ) queues with service interruptions in the Halfin–Whitt regime," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(1), pages 127-160, February.
- Anatolii Puhalskii, 2013. "On the $$M_t/M_t/K_t+M_t$$ queue in heavy traffic," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(1), pages 119-148, August.
- Ward Whitt, 2006. "Fluid Models for Multiserver Queues with Abandonments," Operations Research, INFORMS, vol. 54(1), pages 37-54, February.
- William A. Massey, 1985. "Asymptotic Analysis of the Time Dependent M/M/1 Queue," Mathematics of Operations Research, INFORMS, vol. 10(2), pages 305-327, May.
- Hongyuan Lu & Guodong Pang & Yuhang Zhou, 2016. "$$G/{ GI}/N(+{ GI})$$ G / G I / N ( + G I ) queues with service interruptions in the Halfin–Whitt regime," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(1), pages 127-160, February.
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Cited by:
- Pang, Guodong & Zhou, Yuhang, 2018. "Functional limit theorems for a new class of non-stationary shot noise processes," Stochastic Processes and their Applications, Elsevier, vol. 128(2), pages 505-544.
- Guodong Pang & Yuhang Zhou, 2018. "Two-parameter process limits for infinite-server queues with dependent service times via chaining bounds," Queueing Systems: Theory and Applications, Springer, vol. 88(1), pages 1-25, February.
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Keywords
Gt/Gt/∞ queues; Arrival dependent services; Two-parameter processes; Functional limit theorems; Gaussian random fields; Method of chaining;All these keywords.
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