In this paper we consider a certain aggregate production planning model. This model permits regular and overtime production and allows for backordering of goods for a number of periods. Although the discussed model can be formulated as a linear programming problem a special (noniterative) method...

An embedded network within a linear program is, roughly speaking, a subset of constraints that represent conservation of flow. We examine three broad classes of heuristic techniques---row-scanning deletion, column-scanning deletion, and row-scanning addition---for the extraction of large...

We pose the following problem: given m jobs, each of which requires a certain total amount of labour that must be performed within specified time periods, how should one schedule the jobs' execution to obtain a total workload that is as even as possible? A related question is: what is the...

Decentralized planning has long been recognized as an important decision making problem. Many approaches based on the concepts of large-scale system decomposition have generally lacked the ability to model the type of truly independent subsystems which often exist in practice. Multilevel...

Modelling planning problems that extend over many time periods as linear programs leads to a special structure called a "staircase" or "dynamic" linear program. In this special structure, the nonzero coefficients of the linear program appear in blocks along the "main diagonal" of the coefficient...