A quadratic model for production-inventory planning was made famous by Holt, Modigliani, Muth, and Simon in 1960 in (Holt, C. C., F. Modigliani, J. F. Muth, H. A. Simon. 1960. Planning Production, Inventories, and Work Force. Prentice-Hall, Englewood Cliffs, New Jersey.), especially for its...

In this paper, we deal with the two-product, single-machine, static demand, infinite horizon lot scheduling problem. After a quick review of the literature, the necessary and sufficient conditions for feasibility are derived without imposing any preliminary requirements. Then, an optimal...

This research examines the effectiveness of alternative strategies for dealing with the problem of order instability, or nervousness, which occurs in Material Requirements Planning systems. Nervousness can be particularly disruptive in multi-level production processes where a change in order...

Notes on paper [Lee, D. R., D. Orr. 1977. Further results on planning horizons in the production smoothing problem. Management Sci. 23 (5) 490-498.] pointing to some ambiguities and errors.

A rolling schedule is formed by solving a multi-period problem and implementing only the first period's decisions; one period later the multi-period model is updated and the process repeated. In this paper, we provide a general framework for analyzing rolling schedules, and we examine...

The following typographical errors appeared in our paper "Planning Horizon Procedures for Machine Replacement Models," Management Science, Vol. 25, No. 2 (February 1979), pp. 140-151.

This paper considers the deterministic capacity expansion problem with deterioration. First, the paper extends the conventional model by incorporating capacity deterioration effects and operating costs that are a function of: (i) the age of the facility and (ii) the extent of utilization of...

This paper develops rolling horizon procedures for solving a multistage inventory problem with facilities-in-series. In such an inventory system, we assume that the raw material is processed successively through several facilities before reaching the customer. The input to a facility comes from...

In this paper we consider a single product multi-period inventory problem for which the penalty cost consists of two parts, a lump-sum portion which is independent of the size of the shortage and a portion which is linear in the size of the shortage. We show that for all nonincreasing demand...

This paper develops efficient forward algorithms and planning horizon results for several machine replacement models under an improving technological environment over time. The models are that of cost minimization, profit maximization, and cost minimization with probabilistic breakdowns. The...