Production management method, production management system, and program

A production management system for performing assignment of production numbers of a plurality of optional specifications for a product, which are combination patterns of a plurality of options, using upper limits in the plurality of respective options as constraints, while maintaining a production number in a group included in a large classification, the system comprising:

• processing circuitry, a storage unit, and an input unit, wherein
• the input unit reads a pre-adjustment order as a desired breakdown of the plurality of optional specifications, constraints for the plurality of respective options, and a priority order of the constraints for the plurality of respective options and causes the storage unit to store the information that has been read,
• the processing circuitry sets, for options whose respective priority orders of the constraints are the same, a target function of a quadratic programming problem for assigning an upper limit exceeding number, which is a number where an allocated number for each option exceeds the upper limit of this option, and sets a target function of a quadratic programming problem for assigning the production numbers of the plurality of optional specifications based on the information that has been read,
• the processing circuitry performs an optimization calculation of the quadratic programming problem for assigning the upper limit exceeding number in order starting from the one of the plurality of options whose priority order of the constraints is the highest, thereby determining the upper limit exceeding number of this option,
• the processing circuitry performs, after the whole optimization calculation of the quadratic programming problem for assigning the upper limit exceeding number is completed, an optimization calculation of the quadratic programming problem for assigning the production numbers of the plurality of optional specifications, thereby determining the production numbers of the plurality of respective optional specifications for the product, wherein
• the product is produced in a production line based on the production numbers of the plurality of respective optional specifications for the product,
• the target function of the quadratic programming problem for assigning the upper limit exceeding number for each of the options whose respective priority orders of the constraints are the same is a sum total of values obtained by dividing the square of the upper limit exceeding number by an upper limit in the options whose respective priority orders of the constraints are the same, and
• the target function of the quadratic programming problem for assigning the production numbers of the plurality of optional specifications is a sum total of values obtained by dividing the square of a difference between the assigned production number and the allocated number in the pre-adjustment order in each optional specification by the allocated number in the pre-adjustment order.

A non-transitory computer readable medium storing a program to be executed by a computer that performs assignment of production numbers of a plurality of optional specifications for a product, which are combination patterns of a plurality of options, using upper limits in the plurality of respective options as constraints, while maintaining a production number in a group included in a large classification, the program comprising:

• reading a pre-adjustment order as a desired breakdown of the plurality of optional specifications, constraints for the plurality of respective options, and a priority order of the constraints for the plurality of respective options;
• setting, for options whose respective priority orders of the constraints are the same, a target function of a quadratic programming problem for assigning an upper limit exceeding number, which is a number where an allocated number for each option exceeds the upper limit of this option, and setting a target function of a quadratic programming problem for assigning the production numbers of the plurality of optional specifications based on the information that has been read;
• performing an optimization calculation of the quadratic programming problem for assigning the upper limit exceeding number in order starting from the one of the plurality of options whose priority order of the constraints is the highest, thereby determining the upper limit exceeding number of this option;
• and
• performing, after the whole optimization calculation of the quadratic programming problem for assigning the upper limit exceeding number is completed, an optimization calculation of the quadratic programming problem for assigning the production numbers of the plurality of optional specifications, thereby determining the production numbers of the plurality of respective optional specifications for the product, wherein
• the product is produced in a production line based on the production numbers of the plurality of respective optional specifications for the product,
• the target function of the quadratic programming problem for assigning the upper limit exceeding number for each of the options whose respective priority orders of the constraints are the same is a sum total of values obtained by dividing the square of the upper limit exceeding number by an upper limit in the options whose respective priority orders of the constraints are the same, and
• the target function of the quadratic programming problem for assigning the production numbers of the plurality of optional specifications is a sum total of values obtained by dividing the square of a difference between the assigned production number and the allocated number in the pre-adjustment order in each optional specification by the allocated number in the pre-adjustment order.