The best replacement for perpetual inventory is periodic inventory.

The best alternatives to perpetual inventory are rated as following:
★★★★★  periodic inventory
★★★  physical inventory
★★★  periodic
★★  periodic inventory system
★  periodic system
★  perpetual inventory
  period inventory

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Speaking about perpetual inventory, one probably shouldn't forget about lifo.

Other search terms related to perpetual inventory and their ratings are:
★★★★★ lifo
★★★ weighted average method
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perpetual inventory
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