2015/01/07 by Hyoshin Park, Park, Hyoshin, Ali Shafahi +3
Business, Management and Accounting · Engineering · Social Sciences · #Evacuation and Crowd Dynamics #FOS: Electrical engineering #FOS: Mathematics #Facility Location and Emergency Management #Optimization and Control (math.OC) #Probability (math.PR) #Systems and Control (eess.SY) #Transportation Planning and Optimization #Vehicle Routing Optimization Methods #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1501.02224
openalex publication_date 2015/01/07 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
Location of depots and routing of emergency response units are assumed to be\ninterdependent in the incident management system. System costs will be\nexcessive if delay regarding routing decisions is ignored when locating\nresponse units. This paper presents an integrated method to solve location and\nrouting problem of emergency response units on freeways. The principle is to\nbegin with a location phase for managing initial incidents and to progress\nthrough a routing phase for managing the stochastic occurrence of next\nincidents. Previous models used the frequency of independent incidents and\nignored scenarios in which two incidents occurred within proximal regions and\nintervals. The proposed analytical model relaxes the structural assumptions of\nPoisson process (independent increments) and incorporates evolution of primary\nand secondary incident probabilities over time. The proposed mathematical model\novercomes several limiting assumptions of the previous models, such as no\nwaiting-time and returning rule to original depot. Our stochastic programming\nmethod hedges well against a wide range of scenarios in which probabilities of\na sequence of incidents are assigned. The initial non-linear stochastic model\nis linearized. As a long-term strategy, the model incorporates flexibility in\nchoosing the locations. The temporal locations flexible to a future\npolicy-change are compared with current practice that locates all units in one\npermanent depot.\n