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).
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.
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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