Posts Tagged ‘math modeling’
The latest issue of SIAM News is now available online! Mathematics not only enhances scientific progress, but also hides within simple gestures we instinctively repeat every day. Such is the case when we turn on the lights. What does it take to ensure that every time we enter a dark room and flip the light switch, electricity is available and waiting for us to use? Read more about optimization and how one can generate electricity in a manner that is both satisfactory for consumers and efficient from the network point of view in the most recent issue of SIAM News.
In this video from the 2013 SIAM Annual Meeting, Alejandro Jofré of Universidad de Chile considers a wholesale electricity market model with generators interacting strategically and general networks including externalities such as transmission losses. Previous work shows how mechanisms such as the case when prices correspond to the Lagrange multipliers of a centralized cost minimization program allow the producers to charge significantly more than marginal price. This situation originates an important regulatory problem. In this presentation we consider an incomplete information setting where the cost structure of a producer is unknown to both its competitor and the regulator. We derive an optimal regulation mechanism and compare its performance to the “price equal to Lagrange multiplier”. Watch the video:
Jamming phenomena are seen in various transportation system including cars, buses, pedestrians, ants and molecular motors, which are considered as “self-driven particles”. This interdisciplinary research on jamming of self-driven particles has been recently termed “jamology”. This is based on mathematical physics and includes engineering applications as well. In his talk at the 2013 SIAM Annual Meeting, Katsuhiro Nishinari of the University of Tokyo traced the background of this research: simple mathematical models, such as the asymmetric simple exclusion process and the Burgers equation, were introduced as the basis of all kinds of traffic flow. This was then extended in order to account for various traffic phenomena, and the comparison between theory and experiment was given to show that the models are able to capture fundamental features of observations. Watch the video!
Species are currently becoming extinct at least 100 times the background rate. The resources available to save biodiversity are inadequate. Consequently we need to optimise the return on investment from conservation decisions. In this talk at the 2013 SIAM Annual Meeting, Hugh Possingham of the University of Queensland showed how optimization tools are being used to solve conservation problems such as reserve system design, and allocating funds to threatened species management. Watch the video!
At the SIAM Conference on Computational Science and Engineering held in Boston in February 2013, professional mathematicians from various fields discussed the significance of big data and the importance of mathematical modeling to make sense of and interpret all that data in various fields from social networks and epidemiology to climatology. Watch a brief video with highlights!
Philadelphia, PA—None of us want to experience events like the Camelford water pollution incident in Cornwall, England, in the late eighties, or more recently, the Crestwood, Illinois, water contamination episode in 2009 where accidental pollution of drinking water led to heart-wrenching consequences to consumers, including brain damage, high cancer risk, and even death. In the case of such catastrophes, it is important to have a method to identify and curtail contaminations immediately to minimize impact on the public.
A paper published earlier this month in the SIAM Journal on Applied Mathematics considers the identification of contaminants in a water distribution network as an optimal control problem within a networked system. Read the rest of this entry »
The Society for Industrial and Applied Mathematics (SIAM) gives the SIAM Award in the Mathematical Contest in Modeling (MCM) to two undergraduate teams judged “outstanding” among hundreds of participants worldwide in the annual MCM administered by the Consortium for Mathematics and Its Applications (COMAP).
The contest inspires students to develop solutions involving mathematical modeling to open-ended problems in two categories: continuous and discrete. SIAM judges pick a winner in each of the two categories among teams determined “outstanding” by COMAP judging.
Both 2011 and 2012 recipients were awarded prizes at the Prizes and Awards Luncheon held on Tuesday, July 10, at the SIAM Annual Meeting in Minneapolis, Minnesota.
Enhao Gong, Rongsha Li, and Xiaoyun Wang of Beijing’s Tsinghua University, mentored by their faculty advisor, Jimin Zhang, were winners of the 2011 Continuous Problem “Snowboard Course.” Li was present to accept the award from SIAM President Nick Trefethen.
The award for the 2011 Discrete Problem, “Repeater Coordination,” went to California’s Harvey Mudd College students Daniel Furlong, Dylan Marriner, and Louis Ryan. Their faculty advisor was Susan Martonosi. Ryan accepted the award on behalf of his team.
The award for the 2012 Continuous Problem, entitled “The Leaves of a Tree,” went to the team from Zhejiang University in Hangzhou, China. Team members Cheng Fu, Hangqi Zhao, Danting Zhu received their awards at the luncheon. Their advisor for the contest was Zhiyi Tan.
The Discrete Problem for 2012 was titled “Camping Along the Big Long River.” University of Louisville students James Jones, Suraj Kannan, and Joshua Mitchell nabbed the SIAM award in this category. They were coached by Changbing Hu. Kannan and Mitchell received the award for the team.
Winners presented their papers in a session of Student Days on Wednesday, July 11.
Student recipients each received a cash award of $300, a SIAM Student Travel Award, complimentary SIAM membership for three years, and a framed, hand-calligraphed certificate for their schools.
Philadelphia, PA – June 20, 2012—Malaria affects over 200 million individuals every year and kills hundreds of thousands of people worldwide. The disease varies greatly from region to region in the species that cause it and in the carriers that spread it. It is easily transmitted across regions through travel and migration. This results in outbreaks of the disease even in regions that are essentially malaria-free, such as the United States. Malaria has been nearly eliminated in the U.S. since the 1950s, but the country continues to see roughly 1,500 cases a year, most of them from travelers. Hence, the movement or dispersal of populations becomes important in the study of the disease.
In a paper published this month in the SIAM Journal on Applied Mathematics, authors Daozhou Gao and Shigui Ruan propose a mathematical model to study malaria transmission. Read the rest of this entry »
Watch highlights from Moody’s Mega Math Challenge 2012, where thousands of high school students from the Eastern U.S. created mathematical models to determine the best regions in the country for establishing rail lines as part of a revived High-Speed Intercity Passenger Rail (HSIPR) Program. The regions were ranked based on estimates of ridership numbers over the next 20 years, and costs of building and maintenance, in addition to the effects such rail networks would have on American dependence on foreign energy.