Browsing by Author "Dey, Arnab"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item Planning the Future Fire Station in the City of Victoria(Resilient Communities Project (RCP), University of Minnesota, 2020) Dey, ArnabThis project was completed as part of a partnership between the City of Victoria and the University of Minnesota’s Resilient Communities Project (http://www.rcp.umn.edu). The goal of this project was to identify a suitable location for a second fire station in anticipation of future community growth. City of Victoria project lead Chief Andrew Heger collaborated with student Arnab Dey in Professor Darin England’s course, IE 5561: Analytics and Data-Driven Decision Making, to conduct a temporal and spatial analysis of service demand and response time, build a machine-learning model, and propose a community-risk model to predict the risk associated with different types of properties in the city. A final student report and presentation PowerPoint are available. A videorecording of the student's final presentation is also available at https://vimeo.com/492287254.Item Studying Synergies between SDEs and PDEs; Analysis of Kolmogorov and Feynman-Kac Results(2021) Dey, ArnabIn this report, the synergy between stochastic differential equations (SDEs) and partial differential equations (PDEs) is studied. There are important results by Kolmogorov, Feynman and Kac that can be utilized to solve PDEs using SDEs and vice-versa. In this report, the results in the articles by Black-Scholes, and Harrison are analyzed and their importance critiqued. These synergies between PDEs and SDEs are poised to be utilized in the energy markets, demand-response programs and reserve planning for the grid. The report is presented by instantiating the analysis to European options; the general theory is applicable widely.