The capacitated standard response fire protection siting problem: Deterministic and probabilistic models
We propose and present computational experience on a model that sites capacitated stations, engine companies and truck companies in such a way that the population or calls covered by the standard response is maximized. The standard response to a fire alarm, as defined by the Insurance Services Office (ISO), consists typically of at least three engine companiesand at least two trucks companies, located within standard distances (different for engines and trucks) from every demand point. The model utilized limits the capacity of each station toC j vehicles which could be either engines or trucks or a mixture. The possibility that at the time a call comes in the full standard response will not be available within the applicable distance standards is considered as well in a probabilistic standard response model.
KeywordsDemand Point Linear Programming Relaxation Standard Response Demand Node Distance Standard
Unable to display preview. Download preview PDF.
- J.M. Benedict, Three hierarchical objective models which incorporate the concept of excess coverage to locate EMS vehicles or hospitals, MS Thesis, Department of Civil Engineering, Northwestern University, Evanston, IL (1983).Google Scholar
- G. Berlin, Facility location and vehicle allocation for provision of an emegency service, Ph.D Dissertation, The Johns Hopkins University, Baltimore, MD (1972).Google Scholar
- S.C. Chapman and J.A. White, Probabilistic formulations of emergency service facilities location problems, paper presented at the ORSA/TIMS Conf., San Juan, Puerto Rico (1974).Google Scholar
- Insurance Services Office, Grading schedule for municipal fire protection (1974).Google Scholar
- P. Kroll, The multiple-depot, multiple-tour, multiple-stop delivery problem, Ph.D. Dissertation, The Johns Hopkins University, Baltimore, MD (1988).Google Scholar
- W. Walker, J. Chaiken and E. Ignall (eds.),Fire Department Deployment Analysis (North-Holland, Amsterdam, 1979).Google Scholar
- J. White and K. Case, On covering problems and the central facility location problem, Geograph. Anal. 6(1974)281.Google Scholar