A conveyor dishwasher, in particular a commercial conveyor dishwasher, having a conveying apparatus for conveying washware through the individual treatment zones of the conveyor dishwasher, wherein the conveyor dishwasher has at least one wash zone (11, 12) in which wash liquid from a wash tank (31, 32, 33) which is associated with the at least one wash zone (11, 12) is sprayed onto the washware, wherein the conveyor dishwasher further has at least one final rinse zone which is arranged downstream of the at least one wash zone (11, 12) as seen in the conveying direction of the washware and in which final rinse liquid is sprayed onto the washware, and wherein the conveyor dishwasher further has a waste air system for discharging waste air from the conveyor dishwasher, wherein a waste water heat recovery system is provided for transferring at least a portion of the thermal energy in the waste water from the conveyor dishwasher as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein a waste air heat recovery system is further provided for transferring at least a portion of the thermal energy in the waste air which is discharged or is to be discharged from the conveyor dishwasher as useful heat to at least the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the waste water heat recovery system has at least one heat exchanger, which is preferably operated in accordance with the countercurrent principle, for transferring at least a portion of the thermal energy in the waste water as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, the conveyor dishwasher is characterized in that the waste air heat recovery system has at least one heat pump device for transferring at least a portion of the thermal energy in the waste air as useful heat to at least the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the heat pump device has at least one evaporator for transferring at least a portion of the thermal energy in the waste air to a refrigerant of the heat pump device, wherein the heat pump device further has a first condenser/heat exchanger for transferring at least a portion of the thermal energy in the refrigerant as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the at least one heat exchanger of the waste water heat recovery system is preferably arranged upstream of the first condenser/heat exchanger of the heat pump device as seen in the direction of flow of the final rinse liquid which is to be sprayed in the at least one final rinse zone, for preheating the final rinse liquid which is to be sprayed in the final rinse zone, and wherein the heat pump device further has a second condenser/heat exchanger which is designed to transfer at least a portion of the thermal energy in the refrigerant as useful heat to the wash liquid which is to be sprayed in the at least one wash zone (11, 12) of the conveyor dishwasher. wherein a waste water heat recovery system is provided for transferring at least a portion of the thermal energy in the waste water from the conveyor dishwasher as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein a waste air heat recovery system is further provided for transferring at least a portion of the thermal energy in the waste air which is discharged or is to be discharged from the conveyor dishwasher as useful heat to at least the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the waste water heat recovery system has at least one heat exchanger, which is preferably operated in accordance with the countercurrent principle, for transferring at least a portion of the thermal energy in the waste water as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, the conveyor dishwasher is characterized in that the waste air heat recovery system has at least one heat pump device for transferring at least a portion of the thermal energy in the waste air as useful heat to at least the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the heat pump device has at least one evaporator for transferring at least a portion of the thermal energy in the waste air to a refrigerant of the heat pump device, wherein the heat pump device further has a first condenser/heat exchanger for transferring at least a portion of the thermal energy in the refrigerant as useful heat to the final rinse liquid which is to be sprayed in the at least one final rinse zone, wherein the at least one heat exchanger of the waste water heat recovery system is preferably arranged upstream of the first condenser/heat exchanger of the heat pump device as seen in the direction of flow of the final rinse liquid which is to be sprayed in the at least one final rinse zone, for preheating the final rinse liquid which is to be sprayed in the final rinse zone, and wherein the heat pump device further has a second condenser/heat exchanger which is designed to transfer at least a portion of the thermal energy in the refrigerant as useful heat to the wash liquid which is to be sprayed in the at least one wash zone (11, 12) of the conveyor dishwasher.