Price optimization calculations

Another standard for quality/price is defined within the coupled cluster approach. In particular, the CCSD(T) method [42] is nowadays generally accepted as the most accurate method which can be applied systematically for systems of a reasonable size. One must nevertheless be aware of the high computational cost of the method, which is often used only for energy calculations on geometries optimized with other computational methods. 

Once the optimal batch time is obtained, the corresponding optimal reflux ratio and the maximum achievable conversion can be calculated directly using the polynomial equations presented in Figure 9.9 and 9.11, respectively. For frequently changed market prices, the same methodology can be applied efficiently without any difficulties to find the optimal batch time, amount of products, energy costs, etc. to calculate the maximum attainable profit. However, note the same exercise will have to be carried out for each product specification (x D). 

The optimization of any industrial process aims the profit maximization. Thus, the profit function is a natural choice as an objective function. The profit function, as outlined by Xiong and Jutan [4] and Sequeira et al. [5], can be calculated based on the selling price of the products and on the costs of raw materials, operation and energy. Then, in this work, the objective function, adapted to the multiphase reactor, is as follows ... 

Some results are shown in figure 9.17 and 9.18. It is important to note that the bulk resistivity for a given temperature can be adjusted by the SiH2Cl2 or the WF6 flow to an acceptable value (normally close to 800 jtflcm). Also, there are clear differences between this work and that of Price and Wu (for instance discrepancies in the deposition rate dependence on the WF6 and SiH2CI2 flows). It is obvious that all studies were done while there were strong concentration gradients in the reactor. This condition makes partial pressure calculations uncertain and direct comparison between studies difficult. Nevertheless, process optimization is very well possible as shown by the study of Selbrede. 

Table 5.10 Retailer expected profit calculations for wholesale price agreement when the retailer absorbs risk r = 4, w = 2, c/, = 0.5, c = 0.6, K = 15, optimal service level = 0.5...

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