An equity-efficiency location of a noisy facility in a continuous plane
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CitationNavidi, H., Heydari, R. ve Moghadam, S. S. (2009). An equity-efficiency location of a noisy facility in a continuous plane. Maltepe Üniversitesi. s. 189.
Production engineers are often faced with the problem of placing a noisy but necessary piece of equipment, process, material, or facility in general, into a working environment. Such semi-obnoxious facilities are defined here as facilities that could introduce hazards into the workplace. Similarly, urban planners are often faced with the challenging task of placing in a city a fire department, an airport or a shopping center. These public service facilities should be placed close to the residential area they serve but not too close to prevent noise pollution. In this paper, a new model for the noisy facility location problem in a continuous plane is introduced. The new model is composed of a minisum function to represent the transportation costs and a maximin function to represent the obnoxious effects of the facility by maximizing the distance of the nearest inhabitant from new facility. Although transportation is managed into a network approximately could be supposed as rectangular roads, intensity of noise inversely depends on the squared euclidean distance of the inhabitants from noise source, so the formulation includes rectangular minisum and squared euclidean maximin criteria problem. Using some mathematical theories, the problem dimension is decreased from three to two and then efficient points on this twodimensional space are searched. An algorithm that constructs the entire nondominated vectors and efficient sets is presented and it is illustrated in an example problem.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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