75 citations · 137 across the 7 of their papers we have counts for
8 papers
Open networks of infinite server queues with non-homogeneous multivariate batch Poisson arrivals
Somya Mehra, Peter G. Taylor
In this paper, we consider the occupancy distribution for an open network of infinite server queues with multivariate batch arrivals following a non-homogeneous Poisson process, an…
A Restless Bandit Model for Resource Allocation, Competition and Reservation
Jing Fu, Bill Moran, Peter G. Taylor
We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless M…
Block arrivals in the Bitcoin blockchain
R. Bowden, H. P. Keeler, A. E. Krzesinski +1
Bitcoin is a electronic payment system where payment transactions are verified and stored in a data structure called the blockchain. Bitcoin miners work individually to solve a com…
Why is Kemeny's constant a constant?
Dario Bini, Jeffrey J. Hunter, Guy Latouche +2
In their 1960 book on finite Markov chains, Kemeny and Snell established that a certain sum is invariant. The value of this sum has become known as {\it Kemeny's constant}. Various…
The time-dependent expected reward and deviation matrix of a finite QBD process
Sarah Dendievel, Sophie Hautphenne, Guy Latouche +1
Deriving the time-dependent expected reward function associated with a continuous-time Markov chain involves the computation of its transient deviation matrix. In this paper we foc…
Calculating optimal limits for transacting credit card customers
Jonathan K. Budd, Peter G. Taylor
We present a model of credit card profitability, assuming that the card-holder always pays the full outstanding balance. The motivation for the model is to calculate an optimal cre…