Certain sets of numbers {a_in}, i = 0,..., n, n = 1, 2,..., are known characterize an optimal sequential assignment policy. In this paper the limiting behavior as n -> \infty of the a_in's is studied.

This paper deals with the optimal issuing sequence of units, say batteries, from storage to the field when field lives are stochastic. Several appealing forms of the field life survival probability F\bar (y|x) are given when the battery has been on the shelf a length of time x. These forms are...

A problem is considered where jobs arrive at random times and assume random values, or importance. These must be assigned to a fixed set of men whose qualities are different but known. As each job arrives, its value is observed and the decision-maker must decide which man, if any, to assign to...

The problem of choosing the one best or several best of a set of sequentially observed random variables has been treated by many authors. For example, the seller of a house has this problem when deciding which bids on the house to accept and which to reject. We assume that the bids are...

A "pennant race" occurs in a sports league if the top two teams in a league finish within m\bar games of each other. We develop an analytical model that can be used to predict the probability that a sports league will have a pennant race. The model is then tested on data from the last 50 major...