  Wi-Fi was originally designed to provide broadband wireless Internet access
for devices which generate rather heavy streams. And Wi-Fi succeeded. The
coming revolution of the Internet of Things with myriads of autonomous devices
and machine type communications (MTC) traffic raises a question: can the Wi-Fi
success story be repeated in the area of MTC? Started in 2010, IEEE 802.11 Task
Group ah (TGah) has developed a draft amendment to the IEEE 802.11 standard,
adapting Wi-Fi for MTC requirements. The performance of novel channel access
enhancements in MTC scenarios can hardly be studied with models from Bianchi's
clan, which typically assume that traffic load does not change with time. This
paper contributes with a pioneer analytical approach to study Wi-Fi-based MTC,
which can be used to investigate and customize many mechanisms developed by
TGah.
