Mathematical Models of Mobile Computing Devices and Application Software

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The widespread use of mobile devices and applications (apps) is translating into large-scale economic benefits for Canadians. According to a 2016 report prepared by the market research firm Nordicity for the Canadian Wireless Telecommunications Association, companies in the Canadian wireless communications ecosystem generated $48.96 billion in revenue in 2015. Smartphones, embedded devices, wearable devices, and wireless sensors are examples of mobile devices. They play key roles in emerging applications: personal communication, financial transactions, asset monitoring, autonomous vehicles, drone-based monitoring of national borders and conflict zones, and sensing and communications performed by the armed forces. Mobile devices have become increasingly powerful, with feature-rich operating systems, multi-core processors, gigabytes of memory, multi-radio interfaces, and an array of sensors. However, unlike desktops, mobile devices run on batteries and operate in harsh communication environments. Among the key challenges in designing robust mobile apps are modeling and identification of malicious code, modeling of the power cost of individual apps and devices, designing test suites for performance testing, and extending battery life.