Premium
On operating a shuttle service
Author(s) -
Barnett A.
Publication year - 1973
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230030403
Subject(s) - poisson distribution , computer science , service (business) , function (biology) , poisson process , mathematical optimization , travel time , yield (engineering) , arrival time , operations research , mathematics , statistics , transport engineering , engineering , business , physics , marketing , evolutionary biology , biology , thermodynamics
A vehicle shuttles between two terminals, at which passengers are arriving in a Poisson manner at given rates. Travel time between the stops is assumed deterministic. This paper considers the question of what operating strategy will yield lowest average waiting time for passengers of the system. Exact solutions to the problem are obtained, and it is found that the optimal strategy is a somewhat complex but very tractable function of the two Poisson arrival parameters.