How to generate multiple, numeric-style citation call-outs?

(Answer modified after the OP provided additional, crucial information about the document's setup.)

Since you're using the elsarticle document class, which loads the natbib citation management package, just issue the command

\biboptions{numbers,sort&compress}

in the preamble. This instructs natbib to sort and compress numeric-style citations. (Note that there seems to be a typo in the documentation of the elsarticle document class: The option should be spelled numbers rather than number.)

Perfect!! This command works greatly for elsarticle

put the command sort&compress in the documentclass options: \documentclass[3p,sort&compress]{elsarticle}

Perfect!! This command works greatly for elsarticle