  Non-linearities in simulation arise from the time variance in wireless mobile
networks when integrated with human in the loop, human in the plant (HIL-HIP)
physical systems under dynamic contexts, leading to simulation slowdown. Time
variance is handled by deriving a series of piece wise linear time invariant
simulations (PLIS) in intervals, which are then concatenated in time domain. In
this paper, we conduct a formal analysis of the impact of discretizing
time-varying components in wireless network-controlled HIL-HIP systems on
simulation accuracy and speedup, and evaluate trade-offs with reliable
guarantees. We develop an accurate simulation framework for an artificial
pancreas wireless network system that controls blood glucose in Type 1 Diabetes
patients with time varying properties such as physiological changes associated
with psychological stress and meal patterns. PLIS approach achieves accurate
simulation with greater than 2.1 times speedup than a non-linear system
simulation for the given dataset.
