Any reasonable PostScript, including any output of dvips, may be converted to PDF, using (for example) a sufficiently recent version of ghostscript, Frank Siegert’s (shareware) PStill, or Adobe’s (commercial) Distiller.
But, although the job may (almost always) be done, the results are often not acceptable: the most frequent problem is bad presentation of the character glyphs that make up the document. The following answers offer solutions to this (and other) problems of bad presentation. Issues covered are:
The problems are also discussed, with practical examples, in Mike Shell’s testflow package, which these FAQs recommend as a “specialised tutorial.