Providing replacement printing fluid to a printer

A non-transitory storage medium storing a machine-readable program code, the program code to cause a computer to:

• remotely communicate with a printer to receive data indicating a cumulative consumption value for a printing fluid consumed in a printer;
• calculate a plurality of variable values including a threshold value that represents a quantity of cumulative consumption of the printing fluid that triggers a fulfillment event, a first variable value that represents a quantity of printing fluid that is depleted at the printer for a given time interval, the first variable value derived based on an estimated evaporation quantity loss, and a second variable value that is a statistically derived depletion quantity representing a cumulative consumption of the printing fluid that causes depletion of a specified percentage of a population of printing fluid supplies,
• wherein one or more predefined relationships are defined between the threshold value, the first variable value, and the second variable value;
• communicate a credential packet to the printer, the credential packet including a given variable value of the plurality of variable values, the given variable value representing a cumulative consumption of the printing fluid that triggers establishment of a connection of the printer to a network;
• receive a variation of at least one of the first variable value or the second variable value;
• change the threshold value based on the variation of at least one of the first variable value or the second variable value and based on the one or more predefined relationships;
• trigger the fulfillment event in response to the indicated cumulative consumption value exceeding the changed threshold value;
• and
• in response to the triggering, signal a communication across the network to initiate a supply of replacement printing fluid to be shipped to the printer.

A computer system comprising:

• a non-transitory storage medium storing a machine-readable program code;
• a computer, the machine-readable program code executable on the computer to:
• remotely communicate with a printer to receive data indicating a cumulative consumption value for a printing fluid consumed in a printer;
• calculate a plurality of variable values including a first threshold variable value that represents a quantity of cumulative consumption of the printing fluid that triggers a fulfillment event, a second variable value that represents a quantity of the printing fluid that is depleted at the printer for a given time interval, the second variable value derived based on an estimated evaporation quantity loss, and a third variable value that is a statistically derived depletion quantity representing a cumulative consumption of the printing fluid that causes depletion of a printing fluid supply,
• wherein one or more predefined relationships are defined between the first threshold variable value, the second variable value, and the third variable value;
• communicate a credential packet from the computer to the printer, the credential packet including at least one of the calculated variable values;
• receive a variation of at least one of the second variable value or the third variable value;
• change the first threshold variable value based on the variation of at least one of the second variable value or the third variable value and based on the one or more predefined relationships;
• trigger the fulfillment event in response to the indicated cumulative consumption value exceeding the changed first threshold variable value;
• and
• in response to the triggering, signal a communication across a network to initiate a supply of replacement printing fluid to be shipped to the printer.