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Determining Optimal Paths Between Fixed End-Points of a Moving Facility
Sherali, Hanif D.,Kim, Seong-in 한국경영과학회 1989 한국경영과학회 학술대회논문집 Vol.- No.1
This paper is concerned with some variational calculus/optimization problems involving the determination of constrained optima path functions or routes of a single moving facility, which traverses a region encompassing a set of existing facilities. We formulate the general problem of maximizing total benefits, or maximizing the benefits per unit travel time, subject to constraints on the travel path function. The specific problems analyzed involve a direct distance related benefit (or cost) function, employing rectilinear or squared-Euclidean distance measures, and they constrain the paths to be general paths between fixed end-points. Illustrative examples and computational results on a personal computer are provided, and several extensions are proposed for future research.
Sherali, Hanif D.,金成寅,朴興鮮 한국경영과학회 1989 韓國經營科學會誌 Vol.14 No.1
In this paper we consider the problem of finding an optimal straight line path of a moving facility which interacts with a set of existing facilities fixed within a given rectangular area. We present a simple algorithm for rectilinear metric which greatly improves the pervious method and also propose algorithms for Euclidean and square Euclidean distances.