3 papers
math.PR2025
Strategic Customer Behavior in an M/M/1 Feedback Queue with General Payoffs
Peter Taylor, Jiesen Wang
We consider an M/M/1 feedback queue in which service attempts may fail, requiring the customer to rejoin the queue. Arriving customers act strategically, deciding whether to join t…
q-bio.PE2025
Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation
Somya Mehra, Peter G. Taylor
Plasmodium vivax malaria is a mosquito-borne disease of significant public health importance. A defining feature of the within-host biology of P. vivax is the accrual of a hypnozoi…
math.PR2024
One-sided Markov additive processes with lattice and non-lattice increments
Jevgenijs Ivanovs, Guy Latouche, Peter Taylor
Dating from the work of Neuts in the 1980s, the field of matrix-analytic methods has been developed to analyse discrete or continuous-time Markov chains with a two-dimensional stat…