ISSN:
1573-2878
Keywords:
Operations research
;
calculus of variations
;
economic planning
;
modeling
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper deals with the determination of optimal-cost routes in a circular city where the routes are not confined to a discrete network, but may vary continuously. The Euler-Lagrange equation is derived for the general radially-symmetric case for position-dependent cost. This equation is solved by quadratures. In a special case, the integral representation is evaluated explicitly. A model of a circular city is then assumed, consisting of a circular central business district surrounded by a transition zone. A detailed analysis is then carried out which permits the determination of optimal-cost routes. The results may be employed to improve decision-making in regard to whether to build bypasses around, or direct routes through, a city.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00932612
