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REMARK 10.4.3. (i) This theorem improves on known results [16, 51] that were obtained under the assumption of ton being regularly varying. (ii) The following proof can be carried out to establish the relationship between the Palm and time averages in much more general settings like semi-Markov uid queues. Most of the results in this chapter can be found elsewhere and therefore these proofs are omitted. Here, as an illustration of a subexponential proving technique, the following proof of Theorem 10.4.2 is presented. This proof is taken from Jelenkovic and Lazar [35]. Proof. Let fQt ; I < t < Ig be a unique stationary solution to Eq. (10.12). Then, by using Eq. (10.14), and the independence of B of QT0 , toff , ton , toff , we 0 0 0 obtain P Q0 > x P Q0 > x; B 1 P Q0 > x; B 0 P QT0 ton r c ctoff > x; B 1 0 0 P QT0 r c ton > x; B 0 0 Etoff P QT0 ton r c ctoff > x 0 0 Etoff on Et P QT0 r c ton > x : on 0 Et Eton Eton

10:18

Java has outgrown the original restrictive sandbox The anticipated future of mobile code security, a complex mix of sandboxing and code signing, is now upon us with Java 2 In essence, the three parts of the sandbox explained in the previous chapter implement a language-based security enforcer This enforcement model has been hybridized and expanded to include fine-grained notions of trust and permission built on digital signatures That means major changes to Java security This chapter centers on those changes 1, "Mobile Code and Security: Why Java Security Is Important," briefly introduced the notion of code signing and mobile code policy through the discussion of ActiveX The ActiveX trust model is suited only to run completely trusted code At the core of that kind of trust model is a black-and-white decision either to trust the code or not.

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(Note that QP QT0 ). Since QT0 and ton are independent and subexponential and 0 0 have asymptotically proportional (equivalent) tails, by applying Lemma 5(ii)(A) of

Controls relationship to data classification Classification of users Linking authorization to access controls Mandatory access controls Access control methodology

Jelenkovic and Lazar [35], it follows that P QT0 r c ton > x $ P QT0 > x P r c ton > x 0 0 as x 3 I: 10:19

Such a decision can be influenced by determining who vouches for the code Digital signatures are used for the vouching Java's approach to trust is also based on digital signatures However, instead of allowing only black-andwhite trust decisions la ActiveX, Java 2 allows fine-grained access control decisions to be made With the introduction of code signing in JDK 11, Java's sandbox model underwent a state transition from a required model applied equally to all Java applets to a malleable system that could be expanded and personalized on an applet-by-applet basis Java 2 further complicates the picture with the addition of access control When combined with access control, code signing allows applets to step outside the security sandbox gradually In fact, the entire meaning of sandbox becomes a bit vague.

The independence of ton and toff , and ton P l, by the de nition of long-tailed 0 0 0 distributions it follows that P ton r c ctoff > x $ P ton r c > x 0 0 0 o P QT0 > x as x 3 I. Subsequently, by applying Lemma 5(i)(A) of Jelenkovic and Lazar [35], P QT0 ton r c ctoff > x $ P QT0 > x 0 0 as x 3 I: 10:20

Finally, by replacing asymptotic relations (10.19) and (10.20) in Eq. (10.18), we obtain Eq. (10.15); combination of Eqs. (10.13) and (10.15) gives Eq. (10.16). This completes the proof. j 10.4.2 Asymptotic Reduced Load Equivalence

As an example of how Java code signing might work, an applet designed for use in an Intranet setting could be allowed to read and write to a particular company database as long as it was signed by the system administrator Such a relaxation of the security model is important for developers who have complained about Java's restrictive sandbox Writing code that works within the tight restrictions of the sandbox is a pain, and the original sandbox is very restrictive The addition of code signing to Java complicates things As it now stands, the Java sandbox has been.

Topic areas that focus on access control include the following:

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