SharePoint 2013: Event 8193: A failure was reported when trying to invoke a service application: EndpointFailure

Problem

You recently rebuilt your SharePoint 2013 farm's Managed Metadata service application, and it runs without issue.  A day later, you check the SharePoint application server application event log, and see the following events:

Log Name:      Application
Source:        Microsoft-SharePoint Products-SharePoint Foundation
Date:          [Date/Time]
Event ID:      8313
Task Category: Topology
Level:         Error
Keywords:      
User:          [Farm Service Account]
Computer:      [Application Server]
Description:
A failure was reported when trying to invoke a service application: EndpointFailure
Process Name: OWSTIMER
Process ID: 1884
AppDomain Name: DefaultDomain
AppDomain ID: 1
Service Application Uri: urn:schemas-microsoft-com:sharepoint:service: 
26fdc21debf74e8a8fbb25146d98c2c4#authority=urn:
uuid:3e1fa89c3f23469f8e4947ba8a99c448&authority=
[Application Server]/Topology/topology.svc
Active Endpoints: 1
Failed Endpoints:1
Affected Endpoint: [Application Server]/26fdc21debf74e8a8fbb25146d98c2c4/
SearchService.svc
Event Xml:
...

and

Log Name:      Application
Source:        Microsoft-SharePoint Products-SharePoint Foundation
Date:          [Date/Time]
Event ID:      8313
Task Category: Topology
Level:         Error
Keywords:      
User:          [Farm Service Account]
Computer:      [Application Server]
Description:
A failure was reported when trying to invoke a service application: 
EndpointFailure
Process Name: w3wp
Process ID: 15280
AppDomain Name: /LM/W3SVC/522633276/ROOT-1-130460993295064685
AppDomain ID: 2
Service Application Uri: urn:schemas-microsoft-com:sharepoint:service:
7c3ac0e364d64a9bad706582b3ae004d#authority=
urn:uuid:3e1fa89c3f23469f8e4947ba8a99c448&authority=
[Application Server]/Topology/topology.svc
Active Endpoints: 1
Failed Endpoints:1
Affected Endpoint: [Application Server]/7c3ac0e364d64a9bad706582b3ae004d/
MetadataWebService.svc
Event Xml:

Solution

1.  Rebuild the search service application.

References

• EventID 8313 A failure was reported when trying to invoke a service application: EndpointFailure

Notes

• The reference cited above did not directly apply to our situation but pointed the way to the solution: namely, rebuilding the affected service.