A radiant-heating device for heating an industrial furnace comprising: a) a first burner unit including: a1) a first burner that generates a hot exhaust gas by burning a fuel with combustion air, a2) a first air supplier, via which the first burner is supplied with fresh air, and a3) a first elongated radiant-heating pipe, which includes a rearward end connected with the first burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the first burner flows from the rearward end to the forward end of the first radiant- heating pipe and supplies heat energy along this path to the pipe wall of the first radiant-heating pipe, b) a second burner unit including: b1) a second burner that generates a hot exhaust gas by burning a fuel with combustion air, b2) a second air supplier, via which the second burner is supplied with fresh air, and b3) a second elongated radiant-heating pipe, which includes a rearward end connected with the second burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the second burner flows from the rearward end to the forward end of the second radiant-heating pipe and supplies heat energy along this path to the pipe wall of the second radiant-heating pipe, c) a first connection element that connects the rearward end of the first radiant heating pipe with the forward end of the second radiant-heating pipe so that at least a portion of the exhaust gas generated in the second radiant-heating pipe is conducted to the first burner and is burned again using the first burner, d) a second connection element that connects the rearward end of the second radiant-heating pipe with the forward end of the first radiant-heating pipe, so that at least a portion of the exhaust gas generated in the first radiant-heating pipe is conducted to the second burner and is burned again using the second burner, e) wherein a recuperator (300, 300') configured to pre-heat fresh air is provided in each forward end (20b, 20b') of the radiant-heating pipes (20, 20'). a) a first burner unit including: a1) a first burner that generates a hot exhaust gas by burning a fuel with combustion air, a2) a first air supplier, via which the first burner is supplied with fresh air, and a3) a first elongated radiant-heating pipe, which includes a rearward end connected with the first burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the first burner flows from the rearward end to the forward end of the first radiant- heating pipe and supplies heat energy along this path to the pipe wall of the first radiant-heating pipe, a1) a first burner that generates a hot exhaust gas by burning a fuel with combustion air, a2) a first air supplier, via which the first burner is supplied with fresh air, and a3) a first elongated radiant-heating pipe, which includes a rearward end connected with the first burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the first burner flows from the rearward end to the forward end of the first radiant- heating pipe and supplies heat energy along this path to the pipe wall of the first radiant-heating pipe, b) a second burner unit including: b1) a second burner that generates a hot exhaust gas by burning a fuel with combustion air, b2) a second air supplier, via which the second burner is supplied with fresh air, and b3) a second elongated radiant-heating pipe, which includes a rearward end connected with the second burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the second burner flows from the rearward end to the forward end of the second radiant-heating pipe and supplies heat energy along this path to the pipe wall of the second radiant-heating pipe, b1) a second burner that generates a hot exhaust gas by burning a fuel with combustion air, b2) a second air supplier, via which the second burner is supplied with fresh air, and b3) a second elongated radiant-heating pipe, which includes a rearward end connected with the second burner and a forward end spaced from the rearward end and in which the hot exhaust gas generated by the second burner flows from the rearward end to the forward end of the second radiant-heating pipe and supplies heat energy along this path to the pipe wall of the second radiant-heating pipe, c) a first connection element that connects the rearward end of the first radiant heating pipe with the forward end of the second radiant-heating pipe so that at least a portion of the exhaust gas generated in the second radiant-heating pipe is conducted to the first burner and is burned again using the first burner, d) a second connection element that connects the rearward end of the second radiant-heating pipe with the forward end of the first radiant-heating pipe, so that at least a portion of the exhaust gas generated in the first radiant-heating pipe is conducted to the second burner and is burned again using the second burner, e) wherein a recuperator (300, 300') configured to pre-heat fresh air is provided in each forward end (20b, 20b') of the radiant-heating pipes (20, 20').