Just found the airbus brochure this is the excerpt from it:
What is an EOSID?
• An EOSID is a departure procedure diverging from SID published by the local authorities, to be flown in case of engine failure.
• The EOSID is produced by the operator and proposed for approval to the local authorities.
• Due to their complexity in some cases, the EOSID approval requires special pilot briefing and sometimes, simulator training.
• In some rare cases the local authorities propose themselves the EOSID in a particular airport (Ex: Innsbruck)
Well, that's what airbus published in it's operational liaison meeting 2004.
Title SID/EOSID how to ensure the performance is achieved.
