5 papers
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…
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…
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…
Performance Evaluation of Small Call Centres in a Transient Regime
Mark Fackrell, Hritika Gupta, Peter G. Taylor
This paper addresses a fundamental and practically significant problem in call centre operations -- determining optimal call allocation policies that meet client service targets wh…
Minimising Numbers of Losses and Abandonments in Small Call Centres Under a Transient Regime
Mark Fackrell, Hritika Gupta, Peter G. Taylor
We consider the problem of allocating customers to agents in small call centres so that transient performance indicators in terms of expected numbers of losses and abandonments are…