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Optimality of routing and servicing in dependent parallel processing systems
14 references·16 citing·31 second hop
Optimality of routing and servicing in dependent parallel processing systems (1991)Optimality of routing and servicing in de…On the Optimality of the Generalized Shortest Queue Policy (1990)On the Optimality of the Gene…J.comput. appl. math (1990)J.comput. appl. mathA Queueing Model to Analyze the Value of Centralized Inventory Information (1990)A Queueing Model to Analyze t…Deciding which queue to join: Some counterexamples (1986)Deciding which queue to join:…Deciding Which Queue to Join: Some Counterexamples (1986)Deciding Which Queue to Join:…Comparison Methods for Queues and Other Stochastic Models. (1986)Comparison Methods for Queues…The shortest queue problem (1985)The shortest queue problemComparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues…On the optimal assignment of customers to parallel servers (1978)On the optimal assignment of …Two queues in parallel (1977)Two queues in parallelOptimality of the shortest line discipline (1977)Optimality of the shortest li…Dynamic Scheduling of a Multiclass Queue: Discount Optimality (1975)Dynamic Scheduling of a Multi…Two Similar Queues in Parallel (1961)Two Similar Queues in ParallelTWO QUEUES IN PARALLEL (1958)TWO QUEUES IN PARALLELAsymptotic Optimality of Power-of- d Load Balancing in Large-Scale Systems (2020)Asymptotic Optimality of Powe…SCALABLE LOAD BALANCING IN NETWORKED SYSTEMS: UNIVERSALITY PROPERTIES AND STOCHASTIC COUPLING METHODS (2019)SCALABLE LOAD BALANCING IN NE…The shorter queue polling model (2013)The shorter queue polling mod…Understanding the marginal impact of customer flexibility (2012)Understanding the marginal im…Multiple-server system with flexible arrivals (2011)Multiple-server system with f…Index Policies for the Admission Control and Routing of Impatient Customers to Heterogeneous Service Stations (2009)Index Policies for the Admiss…DYNAMIC ROUTING OF CUSTOMERS WITH GENERAL DELAY COSTS IN A MULTISERVER QUEUING SYSTEM (2009)DYNAMIC ROUTING OF CUSTOMERS …Optimal control of parallel queues with impatient customers (2005)Optimal control of parallel q…Analysis of multi-server systems via dimensionality reduction of markov chains (2005)Analysis of multi-server syst…ON PARALLEL QUEUING WITH RANDOM SERVER CONNECTIVITY AND ROUTING CONSTRAINTS (2002)ON PARALLEL QUEUING WITH RAND…Access control of parallel multiserver loss queues (2002)Access control of parallel mu…Minimizing response times and queue lengths in systems of parallel queues (1999)Minimizing response times and…Sample path methods in the control of queues (1995)Sample path methods in the co…Queueing-theoretic solution methods for models of parallel and distributed systems (1994)Queueing-theoretic solution m…Optimality of the round-robin routing policy (1994)Optimality of the round-robin…Analysis of a Customer Assignment Model with No State Information (1994)Analysis of a Customer Assign…Analysis of Inventory Systems. (1964)Metric: A Multi-Echelon Technique for Recoverable Item Control (1968)The Single Server Queue (1983)Tandem Queues with Planned Inventories (1992)A compensation approach for two-dimensional Markov processes (1993)Operational design of a supply chain system using the Taguchi method, response surface methodology, simulation, and optimization (2004)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)A simple dynamic routing problem (1980)Control Techniques for Complex Networks (2007)Mathematical Theory of Connecting Networks and Telephone Traffic (1966)Optimal control of admission to a quenching system (1985)A survey of Markov decision models for control of networks of queues (1993)Networks of infinite-server queues with nonstationary Poisson input (1993)Queueing theory in manufacturing: A survey (1999)Principles of Operations Research. (1970)Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server (1971)Dynamic Decisions and Work Load in Multitask Supervisory Control (1980)Due-Date Setting and Priority Sequencing in a Multiclass M/G/1 Queue (1991)Four proofs of Gittins’ multiarmed bandit theorem (2014)Join the shortest queue: stability and exact asymptotics (2001)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)Optimal control of two interacting service stations (1984)Optimal control of service rates in networks of queues (1987)A Basic Dynamic Routing Problem and Diffusion (1978)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Analysis of join-the-shortest-queue routing for web server farms (2007)Joining Longer Queues: Information Externalities in Queue Choice (2008)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Marked point processes as limits of Markovian arrival streams (1993)
this work references cited by second hop

References

  • 1986Comparison Methods for Queues and Other Stochastic Models.938 cited
  • 1984Comparison Methods for Queues and Other Stochastic Models720 cited
  • 1977Optimality of the shortest line discipline495 cited
  • 1978On the optimal assignment of customers to parallel servers337 cited
  • 1986Deciding Which Queue to Join: Some Counterexamples235 cited
  • 1961Two Similar Queues in Parallel219 cited
  • 1986Deciding which queue to join: Some counterexamples189 cited
  • 1977Two queues in parallel153 cited
  • 1975Dynamic Scheduling of a Multiclass Queue: Discount Optimality148 cited
  • 1990A Queueing Model to Analyze the Value of Centralized Inventory Information133 cited
  • 1958TWO QUEUES IN PARALLEL131 cited
  • 1990J.comput. appl. math129 cited
  • 1990On the Optimality of the Generalized Shortest Queue Policy93 cited
  • 1985The shortest queue problem83 cited

Cited by

  • 1994Optimality of the round-robin routing policy62 cited
  • 1994Queueing-theoretic solution methods for models of parallel and distributed systems

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57 cited
  • 2019SCALABLE LOAD BALANCING IN NETWORKED SYSTEMS: UNIVERSALITY PROPERTIES AND STOCHASTIC COUPLING METHODS53 cited
  • 2005Analysis of multi-server systems via dimensionality reduction of markov chains47 cited
  • 2009DYNAMIC ROUTING OF CUSTOMERS WITH GENERAL DELAY COSTS IN A MULTISERVER QUEUING SYSTEM46 cited
  • 2009Index Policies for the Admission Control and Routing of Impatient Customers to Heterogeneous Service Stations45 cited
  • 1995Sample path methods in the control of queues44 cited
  • 1999Minimizing response times and queue lengths in systems of parallel queues42 cited
  • 2002ON PARALLEL QUEUING WITH RANDOM SERVER CONNECTIVITY AND ROUTING CONSTRAINTS24 cited
  • 2011Multiple-server system with flexible arrivals22 cited
  • 1994Analysis of a Customer Assignment Model with No State Information22 cited
  • 2013The shorter queue polling model20 cited
  • 2002Access control of parallel multiserver loss queues20 cited
  • 2005Optimal control of parallel queues with impatient customers19 cited
  • 2020Asymptotic Optimality of Power-of- d Load Balancing in Large-Scale Systems15 cited
  • 2012Understanding the marginal impact of customer flexibility14 cited