zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Trip frequency scheduling for bus route management in Bangkok. (English) Zbl 0901.90089
Summary: The public bus transit system of Bangkok is one of the largest in the world and operates in a very hectic traffic environment. The development of a specific and computerized trip frequency scheduling mechanism is required to provide good service at minimal cost. Trip frequency scheduling is studied taking into account the present practices, limited bus fleet size, lack of parking spaces, the fluctuating traffic conditions throughout the day, and the special feature that buses and crews are not pre-assigned to specific trips by the beginning of the daily operation. An integer programming model is developed and two heuristic methods, one of which is based on linear programming and the other being a straightforward derivation of common bus operation practice, are presented. The resulting methodology is tested on two selected bus routes in Bangkok and extensive comparisons are made. In this case study, it appears that schedules can be designed which simultaneously reduce exploitation costs and improve service to the public. The methodology allows the bus company to systematically plan all its bus frequencies and to allocate buses to routes a much more efficient way than at present.

MSC:
90B06Transportation, logistics
90C90Applications of mathematical programming
90B35Scheduling theory, deterministic
90C10Integer programming
WorldCat.org
Full Text: DOI
References:
[1] Furth, P. G.; Wilson, N. H. M.: Setting frequencies on bus routes: theory and practice. Transportation research record, No. No. 818, 1-7 (1981)
[2] Giannacopoulos, A.: Optimization algorithms for mass transportation networks. Ph.d. thesis (1982)
[3] Gupta, A. K.; Vrat, P.: Simulation model for optimal frequency of buses on a route: A case study. Scientific management of transport systems (1981)
[4] Koutsopoulos, H. N.; Odoni, A. R.; Wilson, N. H. M.: Determination of headways as a function of time varying characteristics on a transit network. Computer scheduling of public transport (1985)
[5] Voravid, S.: Evaluation by simulation of control strategies for bus scheduling in Bangkok. M.E. thesis (1988)
[6] Zhu, W.: Bus scheduling management in Bangkok. Ph.d. dissertation (1991)