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Control Strategies for an Idealized Public Transportation System.
- Source :
-
Transportation Science . Feb72, Vol. 6 Issue 1, p52. 21p. 3 Diagrams. - Publication Year :
- 1972
-
Abstract
- Vehicles load passengers at a single service point and, after traversing some route, return for another trip. The travel times of successive trips are independent identically distributed random variables with a known distribution function. After a vehicle returns to the service point, one has the option of holding it, or dispatching it immediately. Passengers arrive at a uniform rate and the objective is to minimize the average wait per passenger. The problem of determining the optimal strategy (dispatch or hold) for a system of m vehicles is formulated as a dynamic programming problem. It is analyzed in detail for m = 1 and m = 2. For m = 1, the optimal strategy will hold a vehicle if it returns within less than about half the mean trip time. For m = 2, and for a small coefficient of variation of trip time C( T), the optimal strategy will control the vehicles so as to retain nearly equally spaced dispatch times, within a range of time proportional to C4/3(T). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00411655
- Volume :
- 6
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Transportation Science
- Publication Type :
- Academic Journal
- Accession number :
- 4476226
- Full Text :
- https://doi.org/10.1287/trsc.6.1.52