Multi-product production planning: A goal programming approach

Kenneth E. Kendall, Marc J. Schniederjans

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Cost minimization multi-product production problems with static production resource usage and internal product flow requirements have been solved by linear programming (LP) with input/output analysis. If the problem is complicated by interval resource estimates, interval linear programming (ILP) can be used. The solution of realistic problems by the above method is cumbersome. This paper suggests that linear goal programming (LGP) can be used to model a multi-product production system. LGP's unique modeling capabilities are used to solve a production planning problem with variable resource parameters. Input/output analysis is used to determine the technological coefficients for the goal constraints and is also used to derive an information sub-model that is used to reduce the number of variable resource goal constraints. Preliminary findings suggest that the LGP approach is more cost-efficient (in terms of CPU time) and in addition provides valuable information for aggregate planning.

Original languageEnglish (US)
Pages (from-to)83-91
Number of pages9
JournalEuropean Journal of Operational Research
Issue number1
StatePublished - Apr 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


  • Goal programming
  • input/output
  • production planning


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