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dictionary viewer window to find the information about the save verb As you can see in Figure 3-10, save takes an optional as parameter to specify which file type to use and an optional in parameter to specify the filename (and the folder path)

An important note about the use of Oracle roles here regards the limitation of using object privileges granted through a role If any application object, such as SHSALES, must be queried or updated by another application account, such as HR, within a PL/SQL package, we need to perform a direct object privilege grant to the HR account The read-only and read-write roles defined here are intended for application end user access to specific application object-owner accounts that will issue SQL statements outside of a PL/SQL package As we mentioned earlier, if the object-owner accounts that are in use for your applications will be dynamic or have dynamically created objects, then a system privilege model for end user roles is appropriate This model should be constructed so that it can be used by several applications in a hierarchical fashion Start by defining a set of base application roles that will be granted the ANY privileges and then creating named application realm roles that correspond to each base application role This is the same approach we took with the application administrator accounts described earlier and in particular the application data administrator (data steward) and application data analyst roles The application data administrator role we created, SH_DATA_ADMIN_0101, and the application data analyst role, SH_DATA_ANALYST_0101, will be sufficient for the readwrite and read-only end user access account provisioning

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What is the running time of simplex, for a generic linear program max cT x such that Ax 0 and x 0, where there are n variables and A contains m inequality constraints Since it is an iterative algorithm that proceeds from vertex to vertex, let s start by computing the time taken for a single iteration Suppose the current vertex is u By de nition, it is the unique point at which n inequality constraints are satis ed with equality Each of its neighbors shares n 1 of these inequalities, so u can have at most n m neighbors: choose which inequality to drop and which new one to add A naive way to perform an iteration would be to check each potential neighbor to see whether it really is a vertex of the polyhedron and to determine its cost Finding the cost is quick, just a dot product, but checking whether it is a true vertex involves solving a system of n equations in n unknowns (that is, satisfying the n chosen inequalities exactly) and checking whether the result is feasible By Gaussian elimination (see the following box) this takes O(n3 ) time, giving an unappetizing running time of O(mn 4 ) per iteration Fortunately, there is a much better way, and this mn 4 factor can be improved to mn, making simplex a practical algorithm Recall our earlier discussion (Section 762) about the local view from vertex u It turns out that the per-iteration overhead of rewriting the LP in terms of the current local coordinates is just O((m + n)n); this exploits the fact that the local view changes only slightly between iterations, in just one of its de ning inequalities Next, to select the best neighbor, we recall that the (local view of) the objective function is of the form max cu + y where cu is the value of the objective function at u This immediately c identi es a promising direction to move: we pick any c i > 0 (if there is none, then the current vertex is optimal and simplex halts) Since the rest of the LP has now been rewritten in terms of the y-coordinates, it is easy to determine how much y i can be increased before some other inequality is violated (And if we can increase y i inde nitely, we know the LP is unbounded) It follows that the running time per iteration of simplex is just O(mn) But how many iterations could there be Naturally, there can t be more than m+n , which is an upper bound n on the number of vertices But this upper bound is exponential in n And in fact, there are examples of LPs for which simplex does indeed take an exponential number of iterations In other words, simplex is an exponential-time algorithm However, such exponential examples do not occur in practice, and it is this fact that makes simplex so valuable and so widely used 215.

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