How to override include/workflow/alert_utils.php file's process_workflow_alerts method ?

What is the request for overriding this file? I'm sure it is neither upgrade safe or packageScan safe.

I want to add my code in process_workflow_alerts function.
Can i do this ? I want upgrade safe way.

What does your code do? Changes on legacy workflow are not upgrade safe. Indeed it will be obsolete in a future version. What is your edition? PRO, ENT, SELL, SERVE?

is there any other way to achieve it like workflow actions ?

If your edition is either ENT, SELL or SERVE then you can enjoy SugarBPM.

Cheers

Can we add our code in SugarBPM and achieve like workflow ?

SugarBPM is extendable so you can customize/create new elements in order to introduce custom processes.

Anyway, the adoption depends on what does your code do. Eventually what you are trying to do is so specific that it may not be supported by SugarBPM or will not work properly.

If you are able to share the requirement behind your code we may tell if it would work.

There are ways to get much more from SugarBPM workflow with no line of code - by employing Logic Builder to extend the out-of-the-box workflow capabilities

Please check these examples from the Club:
1) https://sugarclub.sugarcrm.com/dev-club/f/questions-answers/4575/using-sugarbpm-to-change-child-teams/22738
2) https://sugarclub.sugarcrm.com/explore/enterprise-professional/f/enterprise-professional-questions/3999/deleting-contacts-after-x-years-with-sugarbpm 
3) https://sugarclub.sugarcrm.com/explore/serve/f/sugar-serve-questions/4528/use-business-hours-in-bpm 
4) https://sugarclub.sugarcrm.com/dev-club/f/questions-answers/4455/go-to-webinar-integration