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M/M/1 queue in two alternating environments and its heavy traffic approximation
16 references·2 citing·42 second hop
M/M/1 queue in two alternating environments and its heavy traffic approximation (2018)M/M/1 queue in two alternating environmen…Analysis of the M/G/1 queue in multi-phase random environment with disasters (2015)Analysis of the M/G/1 queue i…On some time non-homogeneous queueing systems with catastrophes (2014)On some time non-homogeneous …The M/G/1 queue with disasters and working breakdowns (2013)The M/G/1 queue with disaster…AN M/M/1 QUEUE IN RANDOM ENVIRONMENT WITH DISASTERS (2013)AN M/M/1 QUEUE IN RANDOM ENVI…A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation (2011)A Double-ended Queue with Cat…Stochastic Models in Queueing Theory (2003)Stochastic Models in Queueing…On the M/M/1 Queue with Catastrophes and Its Continuous Approximation (2003)On the M/M/1 Queue with Catas…The M / G /1 queue with two service speeds (2001)The M / G /1 queue with two s…Strong Approximations for Time-Dependent Queues (1995)Strong Approximations for Tim…Diffusion approximation to a queueing system with time-dependent arrival and service rates (1995)Diffusion approximation to a …Stochastic Models in Queueing Theory. (1994)Stochastic Models in Queueing…The transient solution of time-dependent M/M/1 queues (1991)The transient solution of tim…An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals (1986)An Asymptotic Analysis of a Q…M/M/1 Queueing Decision Processes with Monotone Hysteretic Optimal Policies (1984)M/M/1 Queueing Decision Proce…The M/M/1 Queue with Randomly Varying Arrival and Service Rates. (1977)The M/M/1 Queue with Randomly…Queuing Problems with Heterogeneous Arrivals and Service (1971)Queuing Problems with Heterog…Hub Network Design Problem with Capacity, Congestion, and Stochastic Demand Considerations (2023)Hub Network Design Problem wi…On limiting characteristics for a non-stationary two-processor heterogeneous system (2019)On limiting characteristics f…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues (1984)A multiclass feedback queue in heavy traffic (1988)The semi-markovian queue: theory and applications (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)An introduction to queueing theory (1993)A sample path analysis of theM/M/1 queue (1989)Transient solution of an M/M/1 queue with catastrophes (2000)On truncations for weakly ergodic inhomogeneous birth and death processes (2014)Geometric Brownian motion under stochastic resetting: A stationary yet nonergodic process (2021)A Many-Server Queue with Service Interruptions (1968)Poisson Arrivals See Time Averages (1982)Queues with system disasters and impatient customers when system is down (2007)Analysis of a finite-capacity system with working breakdowns and retention of impatient customers (2017)A queueing model with server breakdowns, repairs, vacations, and backup server (2019)Queuing with Preemptive Priorities or with Breakdown (1958)A Waiting Line with Interrupted Service, Including Priorities (1962)Some Queuing Problems with the Service Station Subject to Breakdown (1963)A Markovian Queue with N Servers Subject to Breakdowns and Repairs (1979)A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results (1980)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)Theory of Martingales (1989)The truncated normal distribution: Applications to queues with impatient customers (2014)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Staffing and scheduling under nonstationary demand for service: A literature review (2015)Queueing Systems with a Removable Service Station (1963)Optimal Operating Policies for M / G /1 Queuing Systems (1968)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Scheduling, Routing, and Flow Control in Stochastic Networks (1988)Average Cost Semi-Markov Decision Processes and the Control of Queueing Systems (1989)A queueing control model for retail services having back room operations and cross-trained workers (2003)Handbook of Brownian Motion — Facts and Formulae (1996)Transient analysis of a single server queue with catastrophes, failures and repairs (2007)Queues with paired customers (1981)N parallel queueing systems with server breakdown and repair (1995)The UnreliableM/M/1 Retrial Queue in a Random Environment (2012)A Single Server Poisson Input Queue with a Second Optional Channel (2002)Price Competition with the Attraction Demand Model: Existence of Unique Equilibrium and Its Stability (2006)State-dependent M/G/1 queueing systems (2015)Equilibrium joining strategies in batch service queueing systems (2017)
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References

  • 1994Stochastic Models in Queueing Theory.351 cited
  • 2003Stochastic Models in Queueing Theory284 cited
  • 1971Queuing Problems with Heterogeneous Arrivals and Service172 cited
  • 1995Strong Approximations for Time-Dependent Queues144 cited
  • 2003On the M/M/1 Queue with Catastrophes and Its Continuous Approximation108 cited
  • 1984M/M/1 Queueing Decision Processes with Monotone Hysteretic Optimal Policies80 cited
  • 1977The M/M/1 Queue with Randomly Varying Arrival and Service Rates.78 cited
  • 2013The M/G/1 queue with disasters and working breakdowns75 cited
  • 1986An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals70 cited
  • 2011A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation67 cited
  • 1995Diffusion approximation to a queueing system with time-dependent arrival and service rates44 cited
  • 2013AN M/M/1 QUEUE IN RANDOM ENVIRONMENT WITH DISASTERS43 cited
  • 1991The transient solution of time-dependent M/M/1 queues41 cited
  • 2015Analysis of the M/G/1 queue in multi-phase random environment with disasters41 cited
  • 2001The M / G /1 queue with two service speeds40 cited

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  • 2014On some time non-homogeneous queueing systems with catastrophes35 cited
  • Cited by

    • 2023Hub Network Design Problem with Capacity, Congestion, and Stochastic Demand Considerations26 cited
    • 2019On limiting characteristics for a non-stationary two-processor heterogeneous system14 cited