With rapid advances in wireless communication and networking, orthogonal
frequency division multiplexing (OFDM) and multiple-input
multiple-output antennas (MIMO) are often adopted in communication
systems to create multiple parallel channels. To implement error control
through retransmission of packets in a multichannel communication
system, Automatic-Repeat-reQuest (ARQ) schemes have been generalized for
parallel multichannel data communications. In this thesis, we develop
two stochastic systems, denoted by MSW-ARQ and MSW-ARQ-inS, for modeling
stop-and-wait ARQ over multiple channels with either time-invariant or
time-varying error rates. We evaluate their performance analytically and
through simulation. We expect that the modeling technique and analysis
approach proposed in this thesis can be applied to the performance
evaluation of other ARQ protocols (e.g., selective- repeat ARQ) over
multiple channels.