If Others Jump to the Queue Front, How Long I Will Wait?
M.J. Krawczyk a, P. Gronek a, M. Nawojczyk b and K. KuĊ‚akowskia
aAGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, PL-30059 Krakow, Poland
bAGH University of Science and Technology, Faculty of Humanities, al. Mickiewicza 30, PL-30059 Krakow, Poland
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Two models of a queue are proposed: a human queue and two lines of vehicles before a narrowing. In both models, a queuer tries to evaluate his waiting time, taking into account the delay caused by intruders who jump to the queue front. As the collected statistics of such events is very limited, the evaluation can give very long times. The results provide an example, when direct observations should be supplemented by an inference from the context.

DOI: 10.12693/APhysPolA.127.A-95
PACS numbers: 02.50.Tt, 05.40.Fb, 89.65.-s