The model analyzed in this paper extends the classical secretary problem to the situation in which the decision maker wants to select the two best objects. Exactly two selections are permitted, and a selection strategy is defined by a pair of stopping times. Characterization of the optimal strategy is cumbersome, but useful asymptotic representations are obtained for long sequences.
Rose, John S. 1980. "Selection of the Best Pair from a Random Sequence." E.C.R.S.B. 80-3. Robins School of Business White Paper Series. University of Richmond, Richmond, Virginia.