This paper investigates the dynamic inventory model for the case when production in a period is restricted to a finite set of specified values. The model allows the production rate to be any value in the set (0, P, 2P, ..., mP), where m is a non-negative integer. It is assumed that the setup...

This paper considers the dynamic lot sizing problem of H. M. Wagner and T. M. Whitin with the assumption that the total cost of n setups is a concave nondecreasing function of n. Such setup costs could arise from the worker learning in setups and/or technological improvements in setup methods....

We are concerned with a discrete-time undiscounted dynamic lot size model m which demand and cost parameters are constant for an initial few periods. As our main result, we obtain an upper bound on the number of these periods which guarantees the optimality of the Economic Order Quantity (EOQ)...

This article considers the production planning problem of a shop which can produce in either one shift or two shifts. Setup cost is charged whenever there is an increase in the production rate from one period to the next. Efficient planning horizon procedures have been developed for this model....

This paper develops a forward algorithm and planning horizon procedures for an important machine replacement model where it is assumed that the technological environment is improving over time and that the machine-in-use can be replaced by any of the several different kinds of machines available...

We present a classified bibliography of the literature in the area of forecast, solution, and rolling horizons primarily in operations management problems. Each one of over 200 selected papers is categorized on five dimensions that identify the horizon type, the model type (deterministic or...

This paper considers a dynamic lot sizing problem faced by a producer who supplies a single product to multiple customers. Characterized by their backorder costs as well as shipping costs, a customer with a high backorder cost has a greater need for the product than a customer with a low...

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...