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science) and 2) testing resources are always limited. This implies a direct need for ways to optimize testing and get the most bang for your testing buck. In terms of security assurance, a risk-based approach to testing is very cost effective. (See page 250.) Automated tools and methodologies can help make software assurance more effective as well. The days in which software analysis and testing was a black art are ending. A number of technologies-for example, code coverage analysis-are entering the mainstream. Test tools can be just as effective for security analysis as they are for more standard functional testing, especially when they are wielded by security experts. Advanced assurance methodologies like software fault injection are also maturing into powerful tools [Voas and McGraw, 1998]. The best approach to security is to design security into a system instead of adding it later. The earlier in a development process that this can happen, the better. Risk analysis can be applied at all levels of the software process, from requirements to finished process. Together, risk analysis and testing for security result in a strong methodological approach.

By applying Theorem 2 of Doetsch [22, p. 159], an asymptotic series for Pn 1 t can be obtained from Eq. (6.43). We thus obtain the main result of this section. For t 3 I, and for every nite positive integer H, 1 Pn 1 t

1 n 1

6

n n 1 b G nn 1 1 t n!G n n 1 2 G 1 n n 1 6:45

... Preface -- 1 -- 2 -- 3 -- 4 -- 5 -- 6 -- 7 -- 8 -- 9 -- A -- B -- C -- Refs Front -- Contents -- Help

O t H 1 n 1 :

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Using the identity 1=G 1 z G z 1=p sin pz , we obtain the following. For t 3 I, and for every nite positive integer H, n n 1 H 1P G nn 1 sin n n 1 p n 1 b 1 1 Pn 1 t p n 1 t n!n n 1 n n 1 1 O t H 1 n 1 : 6:46

Copyright 1999 Gary McGraw and Edward Felten. All rights reserved. Published by John Wiley & Sons, Inc.

to quickly return information for use in another program s process that makes directories ideal for storing relatively large amounts of identifying information about end users or other system resources The primary access control role for directory services is to store all of the information that the actual gatekeeper mechanisms use to grant or deny access A directory is queried for information at any necessary number of junctures as an end user places demands for various services: An end user is challenged for username and password when booting up a workstation; access to network resources is granted when the appropriate username and password combination is provided to the NOS, and Web applications require a username and password to function In organizations with a heterogeneous computing environment, this may mean storing different username and password combinations in three different directories It s a situation that creates a purpose-driven directory environment.

We close this section by comparing the limiting distributions Pn 1 t of DP r P* and Rn 1 t of DW r W for t 3 I. Remember that W is the waiting time in the M=G=1 FCFS queue, and that P* has the same distribution as the residual sojourn time in the M =G=1 LCFS-PR queue. From Eq. (6.46), for t 3 I, 1 Pn 1 t $ 1 sin n 1 p G n 1 : p t=b n 1 6:47

Interestingly, this is exactly the same behavior as that of the rst term of the asymptotic series of 1 Rn 1 t (the latter behavior is studied in Boxma and Cohen [10]). 6.5 HEAVY TRAFFIC LIMIT THEOREMS FOR THE WAITING TIME IN THE GI=G=1 FCFS QUEUE In Section 6.3.2 we have proved a heavy traf c limit theorem for the waiting time in the M =G=1 queue with FCFS service discipline. In the present section we summarize extensions of this result for the GI =G=1 FCFS queue, which were recently obtained by Boxma and Cohen [10] and Cohen [17]. We allow both the interarrival time distribution A and the service time distribution B to be regularly varying, with nite rst moments a and b, respectively. We characterize the

CHAPTER SECTIONS: 1 / 2 / 3 / 4

interarrival time distribution and the service time distribution by their respective LSTs af g and bf g. For Re s ! 0, 1 1 1 afsg ga gs Ca gs na 1 La gs ; as 1 bfsg gb gs Cb gs nb 1 Lb gs : bs 6:48 6:49

Figure 6-3 illustrates how complex these authentication paths can get Having one directory service for each purpose produces a relatively inefficient situation from a support and administration perspective Entering data into and managing and supporting these directories takes time and drains resources From a security standpoint, it adds complexity, making audits and additional control elements more difficult to apply Co-mingling the information for each unique end-user population into each purpose-directory makes it harder to secure the data stored there Having all the authentication information in one directory means that the data flow must travel across zones and security policy domains, opening data paths that increase security risks and the potential for compromise of the directory itself along with the application host.

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