Dear Anh,

I would like to suggest as starting point the following book

Pierre Bourque and Richard E. (Dick) Fairley (Editors). Guide to the Software Engineering Body of Knowledge, Version 3.0, SWEBOK. IEEE. 2014.

This is comprehensive and state of the art book for investigating software engineering topics. Book is available for download on Internet.

You can find the chapter about Software Maintenance (chapter 5), and in this new edition there is a completely new chapter Software Engineering Economics (chapter 12).

In each chapter you can find proposed literature for further readings.

About ten years ago I started with this book, edition 2004, and finished my PhD thesis in the field of software maintenance.

I hope this will be helpful.

Regards,

Zeljko

You mean Software Economics?!? http://www.cs.virginia.edu/people/faculty/pdfs/p319-boehm.pdf

Well, not really in maintenance, but maybe this gives some information:

"What is your software worth?"

Thanks all for the helpful answers. 

@ Zeljko Stojanov it is definitely the bible of SE. But it does not really focus on economic perspective of software maintenance. For instance, I would like to know the model to asses cost-benefit of maintenance activities.

@ Richard: thanks for answer that goes beyond BTH boundary :). This is the key paper that I am using. I would like to go further with economic measures, like Return on Investment, Net Present Value in software maintenance activities.

Any suggestions? 

Using the notion of network externalities in economics to approach the economics of software maintenance:

Article Network Effects, Pricing Strategies, and Optimal Upgrade Tim...

Article The effect of competition from open source software on the q...

Dear sir,

i would like to suggest:

Decision Control, Management, and Support in Adaptive and Complex Systems: Quantitative Models. /Chapter 12/= Software realization of:Value-Driven Expert Systems for Decision Support ... Keeney