The authors examine a variant of the uncapacitated lot-sizing model of Wagner-Within involving sales instead of fixed demands, and lower bounds on stocks. Two extended formulations are presented, as well as a dynamic programming algorithm and a complete description of the convex hull of solutions.

After reviewing some of the basic preprocessins techniques for handling safety stocks and multilevel problems, we discusss a variety of aspects arising particularly in small and large bucket (time period) models such as stars-ups, changeovers, minimum batch sizes, choice of one or two set-ups...

This paper develops a multi-industry growth model in which firms require external funds to conduct productivity-enhancing R&D. The cost of research is industry-specific. The tightness of financing constraints depends on the level of financial development and on industry characteristics. Over...

This study derives structural implications of the Dutch disease in oil-exporting countries due to permanent oil price shocks from a typical model. We then test these implications in manufacturing sector data across a wide group of countries including oil-exporters covering 1977 to 2004. The...