n most dynamic planning problems, one observes that an optimal decision at any given stage Idepends on limited information, i.e. information pertaining to a limited set of adjacent or nearby stages. This holds in particular for planning problems over time, where an optimal decision in a given period depends on information related to a limited future time horizon, a so-called forecast horizon, o...

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This paper addresses the problem of the cost effectiveness of equal lot splitting approaches for various lenghts of the time bucket in planning systems. The results of the research indicate that an equal number of subbatches (lots) per time bucket for all products is inefficient. The magnitude of these inefficiencies depends on the time bucket length of the planning system. An appropriate varia...

This paper continues the analysis of a special uncapacitated single item lot sizing problem where a minimum order quantity restriction, instead of the setup cost, guarantees a certain level of production lots. A detailed analysis of the model and an investigation of the particularities of the cumulative demand structure allowed us to develop a solution algorithm based on the concept of minimal ...

In a typical purchasing situation, the issues of price, lot sizing, etc, usually are settled through negotiations between the purchaser and the vendor. Depending on the existing balance of power, the end result of such a bargaining process may be a near-optimal or optimal ordering policy for one of the parties (placing the other in a position of significant disadvantage) or, sometimes, inoptima...

We consider the planning of production over the infinite horizon in a system with timevarying convex production and inventory holding costs. This production lot size problem is frequently faced in industry where a forecast of future demand must be made and production is to be scheduled based on the forecast. Because forecasts of the future are costly and difficult to validate, a firm would like...