In this paper, we conduct performance analysis for a joint media access and appliance scheduling protocol devised for efficient information-management in smart appliances within a home-area network. This protocol enables appliances in-home to coordinate power usage so that total demand for the home is kept below a target value. In particular, from the system perspective, we model the evolution of the protocol as a two-dimensional Markov chain and compute the steady-state distribution; we then derive the average delay of an appliance by constructing a state transition diagram for this protocol. Simulation results are provided to verify our analysis.