ISSN:
1573-2878
Keywords:
Operations research
;
calculus of variations
;
economic planning
;
modeling
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In regard to the problem of determining minimal-cost routes in a region with variable cost density, it has been shown elsewhere that, for a radially symmetric cost density which is inversely proportional to the distance from a central point O, the minimal cost between two pointsP 1 andP 2 which are equidistant from O is attained along a circular arc. This is not true in general for an arbitrary, radially symmetric cost density. In the present paper, critical conditions for determining when a circular arc will be a relative minimal-cost path are derived. These criteria are then employed to examine a class of special cases in which the cost density is constant outside the city limits.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00932893
