Barber Shop System Simulation and Modeling

Barber shop system simulation serves as a classic case study for discrete event modeling, where MATLAB implementation effectively demonstrates event-driven mechanisms. The system architecture revolves around three core events: customer arrivals, service initiation, and service completion. Each event triggers state updates and schedules future events through a priority queue structure.

The simulation core maintains a time-ordered priority queue to handle callback logic for different event types. Customer inter-arrival times typically follow Poisson distribution while service durations use exponential distribution, accurately capturing stochastic characteristics of queuing systems. Key performance metrics like customer waiting time and barber utilization rate enable analysis of how system parameters (e.g., increasing barber count) impact operational efficiency. Code implementation would involve event list management using MATLAB's min-heap operations and statistical distribution functions like exprnd() for timing generation.

For advanced modeling, priority queues can simulate VIP customer preferences, while fatigue factors can be introduced through barber break events. This modeling framework readily adapts to efficiency evaluation in resource scheduling scenarios such as bank teller services or hospital outpatient systems. The MATLAB code structure would typically include event handlers, state transition functions, and data collection modules for performance analysis.