Sir Denis O'Connor, outgoing HM Chief Inspector of Constabulary, will give evidence on Olympics security.
Stephen Greenhalgh, Deputy Mayor of London for Policing and Crime, will give evidence on policing in London.
Metropolitan Police Commissioner Bernard Hogan-Howe has also been asked to give oral evidence.
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Drivers in Scotland will be banned from smoking in cars where children are present from this week.
Motorists who cause death by speeding, street racing or while on a mobile phone are among those who could be handed tougher punishments.
Cubans have lined the streets since Thursday as the ashes of the Communist leader were driven on a 600-mile journey across the island.