If you are completely new to AMPL, start by studying the
AMPL book, which begins with an introductory tutorial, and continues with detailed explanations of all of the AMPL model and data statements.
After you are familiar with how AMPL model definitions are written, you can start to convert the your paper's mathematical formulation into AMPL statements. You should first write AMPL definitions for the data, including sets (like "set I;") and parameters (like "param E{I};" and "param C{I,P};"). Then define the decision variables (like "var X{I,P,J,K} binary;" and "var S{P,J,K} >= 0;"). Once you have those done, you can start to write the objective and constraint expressions in AMPL. (You can skip the paper's "Index corresponding to" definitions, which are not needed in AMPL.)