Open AccessRadial bus networks with multi‐period and many‐to‐many demand
Author(s) -
Chang Shyue Koong
Publication year - 1991
Publication title -
journal of advanced transportation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 46
eISSN - 2042-3195
pISSN - 0197-6729
DOI - 10.1002/atr.5670250207
Subject(s) - minification , mathematical optimization , operator (biology) , constant (computer programming) , total cost , mathematical model , computer science , operations research , mathematics , statistics , economics , biochemistry , chemistry , repressor , transcription factor , microeconomics , gene , programming language
Mathematical models are developed for optimizing radial bus networks with time dependent demand and supply characteristics. These models can deal with many‐to‐many demand distribution in heterogeneous rather than idealized geographic environments. With some approximations, closed‐form solutions for the optimal route angle, headways for different time periods, and stop spacings for various locations are obtained for a total cost minimization objective. The relations between the decision variables and system parameters are identified analytically. The optimality of a constant ratio between headways and route angle is found to hold with a time related factor. The optimized wait cost, operator cost, and lateral access cost are found to be equal. A numerical example is given for a case with three service periods. It illustrates the applicability of the analytic model to irregular demand patterns that may be directionally imbalanced during some periods.