For those who don’t know, Serverless computing is a cloud computing execution model where the cloud provider dynamically manages the allocation of ...
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Azure too has the option of Always On. The cost start problem which you have mentioned in very common among the cloud providers, However, there are providers such as Azure where you can deploy functions by provisioning the planed Azure App Service Plans. That way, you can deploy as many functions, but you will be billed based on the App Service Plans.