Method for transmitting messages in a computer network, wherein the computer network comprises computing nodes (101-105, X104, X105), which computing nodes are connected to each other via at least one star coupler (201, 203, 205, 207, X204, X205) and/or at least one multi-hop network, wherein each computing node (101-105, X104, X105) is connected via at least one communication connection to the at least one star coupler (201, 203, 205, 207, X204, X205) and/or to the at least one multi-hop network, and wherein the computing nodes (101-105, X104, X105) exchange messages with each other and with the at least one star coupler (201, 203, 205, 207, X204, X205) and/or the at least one multi-hop network, wherein -) a first group of components is provided, wherein the components of the first group send and/or relay and/or receive time-triggered messages according to a communication schedule, wherein the first group comprises one, two or a plurality of component(s), and wherein each component of the first group is either a computing node (101, 102, 103), a star coupler (201, 203, 205, 207) or a star coupler of a multi-hop network, and wherein -) a second group of components is provided, wherein the components of the second group do not send and/or relay and/or receive messages according to a communication schedule, wherein the second group comprises one, two or a plurality of component(s), and wherein each component of the second group is either a computing node (104, 105, X104, X105), a star coupler (X204, X205) or a star coupler of a multi-hop network, -) at least one component (101, 102, 103, 201, 203, 205, 207) of the first group of components sends one, two, or a plurality of time-triggered messages according to the communication schedule to one, two or a plurality of components (104, 105, X104, X105, X204, X205) of the second group of components, characterized in that -) each of the computing nodes (104, 105, X104, X105) of the second group of components responds to the receipt of a time-triggered message in one of the following ways: *) reading a current value/the current values of one/of two or a plurality of local sensor /sensors; *) changing the state or states of one or a plurality of local actuators; *) executing an application-specific task; *) sending a new message (1-104a, 1-105a, 1-X105a), and/or -) each star coupler (X204, X205) of the second group of components responds to the receipt of a time-triggered message in one of the following ways: *) sending a new message (1-X205a), or *) relaying the received, time-triggered message, wherein the relaying is not performed according to a communication schedule, wherein an upper limit is provided for the maximum permissible time interval between the time of receipt of a time-triggered message at a component of the second group and the time of the response of this component of the second group, in particular the transmission time of the transmission of a message from this component of the second group. -) a first group of components is provided, wherein the components of the first group send and/or relay and/or receive time-triggered messages according to a communication schedule, wherein the first group comprises one, two or a plurality of component(s), and wherein each component of the first group is either a computing node (101, 102, 103), a star coupler (201, 203, 205, 207) or a star coupler of a multi-hop network, and wherein -) a second group of components is provided, wherein the components of the second group do not send and/or relay and/or receive messages according to a communication schedule, wherein the second group comprises one, two or a plurality of component(s), and wherein each component of the second group is either a computing node (104, 105, X104, X105), a star coupler (X204, X205) or a star coupler of a multi-hop network, -) at least one component (101, 102, 103, 201, 203, 205, 207) of the first group of components sends one, two, or a plurality of time-triggered messages according to the communication schedule to one, two or a plurality of components (104, 105, X104, X105, X204, X205) of the second group of components, -) each of the computing nodes (104, 105, X104, X105) of the second group of components responds to the receipt of a time-triggered message in one of the following ways: *) reading a current value/the current values of one/of two or a plurality of local sensor /sensors; *) changing the state or states of one or a plurality of local actuators; *) executing an application-specific task; *) sending a new message (1-104a, 1-105a, 1-X105a), and/or *) reading a current value/the current values of one/of two or a plurality of local sensor /sensors; *) changing the state or states of one or a plurality of local actuators; *) executing an application-specific task; *) sending a new message (1-104a, 1-105a, 1-X105a), -) each star coupler (X204, X205) of the second group of components responds to the receipt of a time-triggered message in one of the following ways: *) sending a new message (1-X205a), or *) relaying the received, time-triggered message, wherein the relaying is not performed according to a communication schedule, *) sending a new message (1-X205a), or *) relaying the received, time-triggered message, wherein the relaying is not performed according to a communication schedule,