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Are there simple rules or indicators that I can use to decide which type of objective function is appropriate?

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You can decide on the appropriate objective function by checking whether your priorities are single and quantifiable (use standard LP), strictly ranked by importance (use preemptive lexicographic), target-driven (use goal programming), or multi-dimensional with trade-offs (use weighted scoring or Pareto optimization).

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Yes. A simple rule is to look at the goal: maximize things you want to increase, like profit or production, and minimize things you want to reduce, like cost, waiting time, or waste.

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Yes. You can determine the appropriate objective function by identifying the main goal of the problem:

  • Maximize - when the goal is to get the highest or greatest possible value, such as profit, revenue, production, or sales.
  • Minimize - when the goal is to get the lowest or least possible value, such as cost, time, distance, waste, or risk.
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