indices will be incremented and the function ordering will be as it is

in the FVII. The index nesting will be il,if(function type),i2. The

expanded incidence matrix resulting from these choices is shown in

Fig. 3-3. It so happens that the equations fully precedence order for

the solution procedure chosen.

 This example problem illustrates many things described in Chapter

2. Assigning x to f and y to g is an example of an FVIM output set

assignment. Since z was not assigned it was an FVIM decision variable.

Similarly the IDM's contain index outputs and index decisions. All

variables with index ji were decisions for ji equal zero, and those with

index j2 were decisions for j2 equal one. The problem decoupled in the

variable type y for index i1. This example will be referred to by other

sections in this chapter because it illustrates so many valuable

concepts.


3.3 Output Sets and Decision Variables

 The choice of an output set and decision variable set almost

entirely defines a solution procedure. This section discusses these

choices as applied both to function and variable types and to indices.

3.3.1 Function-Variable Output Sets

 In the example problem a variable type was assigned to a function

type. When this is the case, implementing the solution procedure is.

simplified by the fact that each function type only has to be solved for

one variable type. This is particularly helpful in computer implemented

solution procedures, such as those to be generated by GENIE. For

purposes of deriving solution procedures for sets of index equations,

the requirement is made that outputs be assigned such that all outputs