I had this problem also, the solution is to decrease the DOSBox cycles and slow the game down.
The best way is to press ALT+ENTER to play in windowed mode, so you can see the speed displayed at the top of the window. Then CTRL+F11 to slow the game by 5% with each press.
I have an i7 @4.5Ghz and had to take it down to around 60%.
CTRL+F12 will increase the speed once done.
DOSBox special key link below. http://www.dosbox.com/wiki/Special_Keys
Five year old post comes to the rescue. Pesky fast new computers making old games go haywire. Thanks, Zarxx.