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Derivation of first‐passage time distribution of a single lift for arbitrary traffic
Author(s) -
Levy D.,
Alexandrovitz A.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150102
Subject(s) - lift (data mining) , elevator , interval (graph theory) , mathematics , distribution (mathematics) , control theory (sociology) , computer science , mathematical analysis , engineering , structural engineering , combinatorics , control (management) , artificial intelligence , data mining
The distribution of the first‐passage time is of decisive importance in lift (elevator) design. It yields the easure of performance of the system, the expected number of stops, the interval (i. e. time elapsed between two successive departures from a given floor) and many other parameters and factors determining the required number of lifts in a building. The derivation is based on the transition probability matrix of the operation policy, and consists in solving a system of linear equations.