Strategic Customers in a Transportation Station: When Is It Optimal to Wait?

Introduction The Game The observable case Bibliography The motivation The model The problem The model Infinite waiting space (transportation station) Poisson(λ) customers' arrival process 1 server (bus) Renewal server's visiting process {M (t)} When a server with capacity k visits the system: serves k customers instantaneously, the others abandon the system Introduction The Game The observable case Bibliography The motivation The model The problem The model Infinite waiting space (transportation station) Poisson(λ) customers' arrival process 1 server (bus) Renewal server's visiting process {M (t)} When a server with capacity k visits the system: serves k customers instantaneously, the others abandon the system State description N (t): number of customers at time t R(t): remaining time until the next server's visit at time t    ⇒ {(N (t), R(t))} C.T.M.P.