It's my belief that, had the Oslo diplomacy not taken place, the Arab-Israeli conflict would have ended about 2010. Due to that "peace process," however, the likely date for a resolution has receded a generation, to about 2035.
This is hardly an optimistic view, but it does suggest that this conflict, like every conflict, will come to an end.
What do others predict? Here follows an occasional report, in reverse chronological order.
Robert J. Aumann, an Israeli-American economist, on winning the 2005 Nobel Prize in economics for his work in game theory: he said the fighting between the Israelis and the Palestinians goes back more than 80 years and "As far as I can see, it's going to go on for at least another 80 years." (Quoted in Josef Federman, "Israeli Nobel Winner Sees Continued Strife," Associated Press October 10, 2005)