A method operates an elevator system that includes an elevator car, a first communication device, and a plurality of stationary second communication devices communicatively connected to the first communication device. The method includes determining car position indicators, each of the car position indicators being indicative of a position and/or a position-dependent communication condition of the elevator car relative to an associated one of the second communication devices. The method further includes, based on the car position indicator, determining a priority indicator for each of the second communication devices and, based on the priority indicators, prioritizing or non-prioritizing a communication between the first communication device and each of the second communication devices.