This paper develops a "perfect planning horizon procedure" for the simple cash balance problem, where the objective of the firm is to schedule the selling and buying of its earning assets so that all the positive demands are met at minimum cost. Demand for cash can be both positive or negative; a...

The purpose of the current paper is to combine the classical results of Kaplan (Kaplan, R. 1970. Dynamic inventory model with stochastic lead times. Management Sci. 16(2) 491--507.) and Ehrhardt (Ehrhardt, R. 1984. (s, S) Policies for a dynamic inventory model with stochastic lead times. Oper....

For the important special case that costs are linear and stationary over time, an improved algorithm is presented for the dynamic lot size model with backlogging which is comparable in difficulty to the standard no-backlogging algorithm. Planning horizon procedures analogous to those given by...