Queues with Choice via Delay Differential Equations

DOI10.1142/S0218127417300166zbMath1366.90082OpenAlexW2613121734MaRDI QIDQ5275054

Elizabeth Wesson, Jamol Pender, Richard H. Rand

Publication date: 10 July 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417300166

zbMATH Keywords

healthcaredelay differential equationsoscillationsqueueing theorymoving averageschoice modelsDisneyland

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (23)

k-Nearest Neighbor Queues with Delayed Information ⋮ A STOCHASTIC ANALYSIS OF BIKE-SHARING SYSTEMS ⋮ Queues with Updating Information: Finding the Amplitude of Oscillations ⋮ Multidelay Differential Equations: A Taylor Expansion Approach ⋮ Queues with Delayed Information: A Dynamical Systems Perspective ⋮ An analysis of queues with delayed information and time-varying arrival rates ⋮ Examining the dynamics of reactive capacity allocation through a chaos Lens ⋮ Applications of fluid models in service operations management ⋮ Queues Driven by Hawkes Processes ⋮ Open Problem—Load Balancing Using Delayed Information ⋮ Limiting the oscillations in queues with delayed information through a novel type of delay announcement ⋮ Optimal Signaling Mechanisms in Unobservable Queues ⋮ Nonlinear Dynamics in Queueing Theory: Determining the Size of Oscillations in Queues with Delay ⋮ Numerical Continuation and Bifurcation Analysis in a Harvested Predator-Prey Model with Time Delay using DDE-Biftool ⋮ Dynamic rate Erlang-A queues ⋮ Comparison of fluid approximations for service systems with state-dependent service rates and return probabilities ⋮ Ulam-Hyers type stability for \(\psi\)-Hilfer fractional differential equations with impulses and delay ⋮ A Stochastic Analysis of Queues with Customer Choice and Delayed Information ⋮ Equilibrium analysis of observable express service with customer choice ⋮ Heavy Traffic Limits for Join-the-Shortest-Estimated-Queue Policy Using Delayed Information ⋮ On the distributions of infinite server queues with batch arrivals ⋮ Breaking the Symmetry in Queues with Delayed Information ⋮ The fluid limit of a random graph model for a shared ledger

Cites Work

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• Functional differential equations

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