Multi-property lead optimization

Variable Production Cost. Among the earliest to consider pricing and inventory in a multi-period setting are [76], [81], [111], [156], and [157]. The initial focus of research in this area is on solution methods or showing properties of the problem ultimately leading to efficient solution methods. In particular, different assumptions on the structure of the demand distribution or costs sometimes leads to concavity of profit or expected profit, making a problem easier to solve to optimality. 

Multi-component ceramics allow the optimization of various physical properties. These include ceramics which form multi-component oxides as well as fiher-rein-forced ceramic matrix composites. However, the oxidation behavior of these materials is complex compared with the pure materials. The leading fiber-reinforced composites are silicon-based and contain continuous SiC fibers with coatings of graphitic carbon or hexagonal boron nitride. The oxidation of the fiber coating at intermediate temperatures is a major issue and models of this process are discussed for both carbon and boron nitride coatings. 

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