This paper considers the properties of an optimal production schedule for a multi-product firm, where the economics of production include employment smoothing costs. The results extend the findings of [Lippman, Steven A., Alan J. Rolfe, Harvey M. Wagner, John S. C. Yuan. 1967. Optimal production...

In this paper we study a model that minimizes the sum of production, employment smoothing, and inventory costs subject to a schedule of known demand requirements over a finite time horizon. The three instrumental variables are work force producing at regular-time, work force producing on...

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The (s, S) inventory model (infinite horizon with stationary parameters) is explored with a view toward determining the dependency of the optimal policy on the model's parameters and toward evaluating the effectiveness of several numerical approximation methods for obtaining nearly optimal...

Transportation models (ordinary and transhipment) having certain types of capacity constraints on the flows between origins and destinations are studied from the point of view of transforming them into enlarged standardized (non-capacitated) models. Specifically constraints on the flow from...

This paper explores methods for scheduling preventive maintenance by means of mathematical programming. Five integer linear programming models are posed, each based on a different optimality criterion dealing with manpower smoothing. By means of two hypothetical examples the models are tested...

In Manne [Manne, A. S. 1960. Linear programming and sequential decisions. Management Sci. (April).] has suggested a linear programming formulation for on optimal steady state solution of sequential decision models. In this note we offer a proof which appeals primarily to the properties of linear...

A complete computational approach for finding optimal (s, S) inventory policies is developed. The method is an efficient and unified approach for all values of the model parameters, including a non-negative set-up cost, a discount factor 0 \leqq \alpha \leqq 1, and a lead time. The method is...

Applications of inventory theory typically use historical data to estimate demand distribution parameters. Imprecise knowledge of the demand distribution adds to the usual replenishment costs associated with stochastic demands. Only limited research has been directed at the problem of choosing...

A forward algorithm for a solution to the following dynamic version of the economic lot size model is given: allowing the possibility of demands for a single item, inventory holding charges, and setup costs to vary over N periods, we desire a minimum total cost inventory management scheme which...