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The Achievable Region Approach to the Optimal Control of Stochastic Systems

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References

1988Restless bandits: activity allocation in a changing world1,174 cited
1990An Introduction to Queueing Networks662 cited
1986A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios540 cited
1980Multi-Armed Bandits and the Gittins Index515 cited
1990On an index policy for restless bandits486 cited
2010Analysis and Synthesis of Computer Systems467 cited
1985Optimal static load balancing in distributed computer systems398 cited
1989Scheduling networks of queues: Heavy traffic analysis of a simple open network176 cited
1980A Characterization of Waiting Time Performance Realizable by Single-Server Queues156 cited
1992Multiclass Queueing Systems: Polymatroidal Structure and Optimal Scheduling Control156 cited
1996Duality and linear programs for stability and performance analysis of queuing networks and scheduling policies149 cited

Cited by

2014Four proofs of Gittins’ multiarmed bandit theorem121 cited
2002Dynamic allocation indices for restless projects and queueing admission control: a polyhedral approach97 cited
2006Restless Bandit Marginal Productivity Indices, Diminishing Returns, and Optimal Control of Make-to-Order/Make-to-StockM/G/1Queues54 cited

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2016On Delay-Optimal Scheduling in Queueing Systems with Replications32 cited

2017Collaboration and Multitasking in Networks: Prioritization and Achievable Capacity25 cited

2003Generalised ‘join the shortest queue’ policies for the dynamic routing of jobs to multi-class queues24 cited

2000Sample-path conservation laws, with applications to scheduling queues and fluid systems23 cited

2004Stochastic fluid flow models for determining optimal switching thresholds18 cited

2002Dynamic Scheduling via Polymatroid Optimization17 cited

2021The Gittins Policy in the M/G/1 Queue16 cited

2025The Gittins Index: A Design Principle for Decision Making Under Uncertainty5 cited