Stop task dispatch to a working shift on future dates to an engineer having non-working current shift, without impacting next day commit

Hi IFS

Please find a scenario.

Current Day/Day 0 = Engineer is non-working.

Next Day/Day 1 = Engineer having working shift

Task allocated to Day 1. Customers are raising concerns that the field engineers are getting disturbed on non-working day. So what are the options to stop task auto dispatch from Day 0 to Day 1?

Once the task get dispatched, it should be immediately get attended and sometimes the engineer will miss to check this task, leading to SLA breach and high penalties.

Note:

Next day commit is enabled and it is needed as well. Because if Day 0 and Day 1 are working for the engineer then next day commit should work. 

Thanks,

Jagath