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Simple Bounds for Finite Single-Server Exponential Tandem Queues
14 references·8 citing·43 second hop
Simple Bounds for Finite Single-Server Exponential Tandem Queues (1988)Simple Bounds for Finite Single-Server Ex…Jobshop-Like Queueing Systems (2004)Jobshop-Like Queueing SystemsSimple bounds and monotonicity results for finite multi-server exponential tandem queues (1989)Simple bounds and monotonicit…Stochastic Modelling and Analysis: A Computational Approach. (1987)Stochastic Modelling and Anal…Comparison Methods for Queues and Other Stochastic Models. (1986)Comparison Methods for Queues…A Concept of Monotonicity and Its Characterization for Closed Queueing Networks (1985)A Concept of Monotonicity and…Performance bound hierarchies for queueing networks (1983)Performance bound hierarchies…Poisson Arrivals See Time Averages (1982)Poisson Arrivals See Time Ave…Balanced job bound analysis of queueing networks (1982)Balanced job bound analysis o…Approximate analysis of exponential tandem queues with blocking (1982)Approximate analysis of expon…Comparing counting processes and queues (1981)Comparing counting processes …Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking (1980)Efficient Algorithmic Solutio…Approximate analysis of exponential queueing systems with blocking (1980)Approximate analysis of expon…Two queues in series with a finite, intermediate waitingroom (1968)Two queues in series with a f…Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach (1967)Finite Queues in Series with …Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks (2010)Error Bounds and Comparison R…Erlang loss bounds for OT–ICU systems (2009)Erlang loss bounds for OT–ICU…The symmetric longest queue system (1997)The symmetric longest queue s…Buffer allocation for an integer nonlinear network design problem (1997)Buffer allocation for an inte…Buffer allocation for a class of nonlinear stochastic knapsack problems (1995)Buffer allocation for a class…Open finite queueing networks with M/M/C/K parallel servers (1994)Open finite queueing networks…Equivalencies between open and closed queueing networks with finite buffers (1989)Equivalencies between open an…Stochastic inequalities for an overflow model (1987)Stochastic inequalities for a…The Output of a Queuing System (1956)Introduction to Operations Research (1968)A Classified Bibliography of Research on Optimal Design and Control of Queues (1977)Transient solutions in markovian queueing systems (1977)On the Interface Between Operations and Human Resources Management (2003)The Single Server Queue. (1983)A Decomposition Method For The Approximate Evaluation Of Capacitated Transfer Lines With Unreliable Machines And Random Processing Times (1987)Buffer Space Allocation in Automated Assembly Lines (1988)On Decomposition Methods for Tandem Queueing Networks with Blocking (1993)Introduction to Stochastic Processes (2014)Sequential Arrays of Waiting Lines (1956)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)On equivalencies of blocking mechanisms in queueing networks with blocking (1986)Approximate Analysis of Queues in Series with Phase-Type Service Times and Blocking (1989)The throughput rate of multistation unreliable production lines (1993)A Proof for the Queuing Formula: L = λ W (1961)Computational algorithms for closed queueing networks with exponential servers (1973)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)Asymptotic Expansions and Integral Representations of Moments of Queue Lengths in Closed Markovian Networks (1984)Queueing Networks With Blocking. (1987)On the design of generalized kanban control systems (1995)On the theory of queues with many servers (1955)Multiple channel queues in heavy traffic. I (1970)Resource Sharing for Efficiency in Traffic Systems (1981)Open and Closed Models for Networks of Queues (1984)Queueing Networks: A Survey of Their Random Processes (1985)Networks of Waiting Lines (1957)Closed Queuing Systems with Exponential Servers (1967)The Single Server Queue (1983)Asymptotic behavior of the expansion method for open finite queueing networks (1988)Large production line optimization using simulated annealing (2000)The Timing of Competitive Market Entry: An Exploratory Study of New Industrial Products (1990)Queueing theory in manufacturing: A survey (1999)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)The Operational Analysis of Queueing Network Models (1978)Lot Sizes, Lead Times and In-Process Inventories (1987)Inventory Management of Remanufacturable Products (2000)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin (1995)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Queueing systems with vacations ? A survey (1986)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)
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References

  • 1982Poisson Arrivals See Time Averages1,220 cited
  • 1986Comparison Methods for Queues and Other Stochastic Models.938 cited
  • 2004Jobshop-Like Queueing Systems733 cited
  • 1987Stochastic Modelling and Analysis: A Computational Approach.714 cited
  • 1967Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach295 cited
  • 1981Comparing counting processes and queues184 cited
  • 1982Balanced job bound analysis of queueing networks129 cited
  • 1982Approximate analysis of exponential tandem queues with blocking127 cited
  • 1980Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking103 cited
  • 1980Approximate analysis of exponential queueing systems with blocking100 cited
  • 1968Two queues in series with a finite, intermediate waitingroom87 cited
  • 1985A Concept of Monotonicity and Its Characterization for Closed Queueing Networks55 cited
  • 1983Performance bound hierarchies for queueing networks52 cited
  • 1989Simple bounds and monotonicity results for finite multi-server exponential tandem queues48 cited

Cited by

  • 2009Erlang loss bounds for OT–ICU systems40 cited

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  • 1994Open finite queueing networks with M/M/C/K parallel servers39 cited
  • 1987Stochastic inequalities for an overflow model28 cited
  • 1997Buffer allocation for an integer nonlinear network design problem26 cited
  • 1995Buffer allocation for a class of nonlinear stochastic knapsack problems21 cited
  • 1989Equivalencies between open and closed queueing networks with finite buffers20 cited
  • 1997The symmetric longest queue system19 cited
  • 2010Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks18 cited