A managed services provider (MSP) is an IT services provider that provides fully outsourced network, application, and system services across a network to clients.
Managed Service Provider (Wikipedia)
Managed services is the practice of outsourcing the responsibility for maintaining, and anticipating need for, a range of processes and functions, ostensibly for the purpose of improved operations and reduced budgetary expenditures through the reduction of directly-employed staff. It is an alternative to the break/fix or on-demand outsourcing model where the service provider performs on-demand services and bills the customer only for the work done.