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20202022
most citedBreaking the Symmetry in Queues with Delayed Information

6 citations · 7 across the 6 of their papers we have counts for

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math.DS2022

Queues with Delayed Information: Analyzing the Impact of the Choice Model Function

Philip Doldo, Jamol Pender

In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assume…

math.DS2021

Mean Field Queues with Delayed Information

Philip Doldo, Jamol Pender

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information…

math.DS2021

A Note on the Interpretation of Distributed Delay Equations

Philip Doldo, Jamol Pender

Distributed delay equations have been used to model situations in which there is some sort of delay whose duration is uncertain. However, the interpretation of a distributed delay…

math.DS2021★ 1 cited

Queues with Updating Information: Finding the Amplitude of Oscillations

Philip Doldo, Jamol Pender

Many service systems provide customers with information about the system so that customers can make an informed decision about whether to join or not. Many of these systems provide…

math.DS2020

Multi-Delay Differential Equations: A Taylor Expansion Approach

Philip Doldo, Jamol Pender

It is already well-understood that many delay differential equations with only a single constant delay exhibit a change in stability according to the value of the delay in relation…

math.DS2020★ 6 cited

Breaking the Symmetry in Queues with Delayed Information

Philip Doldo, Jamol Pender, Richard Rand

Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of q…