How to fix Analysis Services deployment error No mapping between account names and security IDs was done

Q: While deploying Analysis Services database I am getting error "The following system error occurred:  No mapping between account names and security IDs was done". How can this be fixed?

 A: Most likely you have a role defined in database that contains users or user groups not available in deployment environment. For example you have user group Domain1\UserGroup1 specified in role, but you are trying to deploy this database in environment where Domain1 is not available. To fix this error simply replace users or user groups with values that are correct in deployment domain.