Solution Mapping

The case study scenario is modeled using SAP s SAP SCM software package, the supply chain solution within the SAP Business Suite. The SAP SCM solution map in Figure 11.5 shows the complete scope of functionalities offered in the 2005 release. 

Fig. 11.5 SAP Supply Chain Management solution map, release 2005 (Copyright by SAP AG).

Erenklach, M., H. Wang, and J. J. Rabinowitz. 1992. Optimization and analysis of large chemical kinetic mechanisms using the solution mapping method — combustion of methane. Progress Energy Combustion Science 18 47-73. 

M. Frenklach, H. Wang, and MJ. Rabinowitz. Optimization and Analysis of Large Chemical Mechanisms Using the Solution Mapping Method. Prog. Energy Combust. Sci., 18 47-73,1992. 

DAP is a white, crystalline compound that is completely soluble in water and, hence is 100% available to plants. MAP is a white, crystalline material that is completely soluble in water. In contrast to DAP (that makes slight alkaline solutions), MAP gives acid solutions with a pH of about 4.5. As in DAP all of the phosphate is available since it is completely water-soluble. 

Since each of these mappings is from R" to R", where = 3 for the solution map and = 2 for the Poincare map, their linearizations are given by a matrix. The following is a basic result connecting the linearization of the two maps. 

To compute the remaining eigenvalue of P, one computes the eigenvalues of the solution map. The linearization of (2.3) about 7 takes the form... 

Figure 6.6. A Typical Open Applications Solution Mapped into Logical Systems... 

Now suppose we need to change 215 centimeters to meters. We will use a solution map to outline our path for the conversion for this example ... 

Some problems require a series of conversions to reach the correct units in the answer. For example, suppose we want to know the number of seconds in 1 day. We need to convert from the unit of days to seconds using this solution map ... 

Each arrow in the solution map represents a conversion factor. This sequence requires three conversion factors, one for each step. We convert days to hours (hr), hours to minutes (min), and minutes to seconds (s). The conversions can be done individually or in a continuous sequence ... 

SOLUTION The conversion factor to change liters to milliliters is 1000 mL/L Solution map L mL lOOOmL ... 

A solution map is used to outline the steps in the unit conversion. 

Solution map moles O2 molecules O2 atoms O Two conversion factors are needed ... 

Solution map kg NaOH gNaOH We need two conversion factors - ° and... 

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