Which process or methodology your company is adopting for product development?

am gonna talk about the business side because its more critical than the software side , actually our key to develop our new services is customers needs, so we are engaged heavily with all of our customers using surveys , phone calls , direct contact and other techniques , we believe that every single customer may add a huge value to our company , and it will give us a great indicator where should we go and what services customers usually use , and what services we should add.
after that we analyse the data and we start development using methodology that fits for the new service.

We are using Agile software development, it's a group of software development methods based on iterative and incremental development, where requirements and solutions evolve through collaboration between self-organizing, cross-functional teams.
It promotes adaptive planning, evolutionary development and delivery, a time-boxed iterative approach, and encourages rapid and flexible response to change.
It is a conceptual framework that promotes foreseen interactions throughout the development cycle.
The Agile Manifesto[1] introduced the term in2001.