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Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations
8 references·16 citing·32 second hop
Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations (1997)Dynamic control of Brownian networks: sta…Some diffusion approximations with state space collapse (2006)Some diffusion approximations…Dynamic Scheduling with Convex Delay Costs: The Generalized $c|mu$ Rule (1995)Dynamic Scheduling with Conve…Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Dynamic routing in open queue…Dynamic Scheduling of a Multiclass Make-to-Stock Queue (1992)Dynamic Scheduling of a Multi…Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network (1990)Scheduling Networks of Queues…Scheduling networks of queues: Heavy traffic analysis of a simple open network (1989)Scheduling networks of queues…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Dynamic Pricing Strategies for Multi-Product Revenue Management Problems (2011)Dynamic Pricing Strategies fo…Service-Level Agreements in Call Centers: Perils and Prescriptions (2008)Service-Level Agreements in C…Dynamic Pricing and Lead-Time Quotation for a Multiclass Make-to-Order Queue (2008)Dynamic Pricing and Lead-Time…Asymptotic optimality of maximum pressure policies in stochastic processing networks (2008)Asymptotic optimality of maxi…Asymptotic optimality of maximum pressure policies in stochastic processing networks (2006)Asymptotic optimality of maxi…Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies (2005)Heavy traffic analysis of ope…Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy (2005)Dynamic Scheduling of a Paral…Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic (2004)Scheduling a multi class queu…Pathwise optimality of the exponential scheduling rule for wireless channels (2004)Pathwise optimality of the ex…Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime (2004)Dynamic Scheduling of a Multi…Two Workload Properties for Brownian Networks (2003)Two Workload Properties for B…Dynamic Server Allocation for Queueing Networks with Flexible Servers (2003)Dynamic Server Allocation for…A broader view of Brownian networks (2003)A broader view of Brownian ne…Stochastic networks and activity analysis (2002)Stochastic networks and activ…Queueing network models in the design and analysis of semiconductor wafer fabs (2001)Queueing network models in th…The Effect of Increasing Routing Choice on Resource Pooling (1998)The Effect of Increasing Rout…Brownian Motion and Stochastic Flow Systems. (1987)Optimization of Multiclass Queueing Networks: Polyhedral and Nonlinear Characterizations of Achievable Performance (1994)Analysis, Design, and Control of Queueing Systems (2002)Scheduling a Make-To-Stock Queue: Index Policies and Hedging Points (1996)Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System (1997)Stock Rationing in an M/Ek/1 Make-to-Stock Queue (2000)Un Cours sur les Intégrales Stochastiques (2002)Networks of Waiting Lines (1957)Multiple channel queues in heavy traffic. I (1970)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Controlled Markov Processes and Viscosity Solutions (2005)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Stochastic Integration and Differential Equations (2005)Brownian Motion and Stochastic Calculus (2007)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)A Proof for the Queuing Formula: L = λ W (1961)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)A survey of Markov decision models for control of networks of queues (1993)Performance bounds for queueing networks and scheduling policies (1994)Real-time queueing theory (2002)Optimality of the shortest line discipline (1977)Introduction to Queueing Networks (1987)Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse (2012)Brownian models of open processing networks: canonical representation of workload (2000)Pricing and Capacity Sizing for Systems with Shared Resources: Approximate Solutions and Scaling Relations (2003)On Pooling in Queueing Networks (1998)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Heavy traffic analysis of a system with parallel servers: asymptotic optimality of discrete-review policies (1998)Mathematical methods to study the polling systems (2006)A Theoretical Framework for Managing the New Product Development Portfolio: When and How to Use Strategic Buckets (2008)
this work references cited by second hop

References

  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1995Dynamic Scheduling with Convex Delay Costs: The Generalized $c|mu$ Rule277 cited
  • 1990Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network199 cited
  • 1989Scheduling networks of queues: Heavy traffic analysis of a simple open network176 cited
  • 2006Some diffusion approximations with state space collapse175 cited
  • 1993Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling170 cited
  • 1992Dynamic Scheduling of a Multiclass Make-to-Stock Queue165 cited

Cited by

  • 2004Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic140 cited
  • 2003A broader view of Brownian networks136 cited
  • 2004Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime125 cited
  • 2008Dynamic Pricing and Lead-Time Quotation for a Multiclass Make-to-Order Queue118 cited
  • 2004Pathwise optimality of the exponential scheduling rule for wireless channels111 cited
  • 2001Queueing network models in the design and analysis of semiconductor wafer fabs108 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2005Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy103 cited
  • 2003Dynamic Server Allocation for Queueing Networks with Flexible Servers102 cited
  • 2008Asymptotic optimality of maximum pressure policies in stochastic processing networks95 cited
  • 2005Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies88 cited
  • 2003Two Workload Properties for Brownian Networks86 cited
  • 2006Asymptotic optimality of maximum pressure policies in stochastic processing networks82 cited
  • 2011Dynamic Pricing Strategies for Multi-Product Revenue Management Problems78 cited
  • 2002Stochastic networks and activity analysis72 cited
  • 2008Service-Level Agreements in Call Centers: Perils and Prescriptions71 cited
  • 1998The Effect of Increasing Routing Choice on Resource Pooling70 cited