The best replacement for service level is asa.

The best alternatives to service level are rated as following:
★★★★★  asa
★★★  inventory
★★★  safety stock
★★  occupancy
★★  fill rate
  average speed of answer
  abandon rate

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Speaking about service level, one probably shouldn't forget about safety stock.

Other search terms related to service level and their ratings are:
★★★★★ safety stock
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Google Trends

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service level
asa
inventory