Erratum to authors' paper (Florian M., M. Klein. 1971. Deterministic production planning with concave costs and capacity constraints. Management Sci. 18 (1, September) 12-20.

A multi-period single commodity production planning problem is studied in which known requirements have to be satisfied. The model differs from earlier well-known studies involving concave cost functions in the introduction of production capacity constraints. The structure of an optimal solution...

Two problems involving the assignment of men to jobs, in a production system with parallel lines, to maximize the steady state system production rate are studied. In the first, in which a man's production rate is independent of the line to which he is assigned, a simple rule "group the fastest...

The production planning model of Modigliani and Hohn and the smoothing model of Hoffman and Jacobs are combined. The most interesting result is that the horizon planning properties of the individual models are retained in the combined model. Methods are also given for the computation of optimal...

A problem of finding optimal policies for the management of systems whose deterioration can be expressed as a Markov chain is considered. Using methods due to Manne and Derman for sequential decision problems involving average cost per unit time criteria, it is shown that the problem can be...

A simple procedure is given for solving minimal cost flow problems in which feasible flows are maintained throughout. It specializes to give primal algorithms for the assignment and transportation problems. Convex cost problems can also be handled.

Consideration is given to problems of choosing the order of issue of items from a stockpile of material whose utility characteristics are changing with time. Conditions are given under which either LIFO (last in, first out) or FIFO (first in, first out) is an optimal issue policy.

Most manufacturing processes produce some defective items. To compensate for this, the total quantity produced in attempting to satisfy an order is larger than the order size. The excess is called a reject allowance. In this paper it is shown how the Markovian decision framework can be used to...