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Interfaces ChannelInput (supporting read), ChannelOutput (supporting write) and Channel (supporting both) operate on Object arguments, but special versions for int arguments are also provided The principal implementation class is One2OneChannel that supports use only by a single reader and a single writer But various multiway channels are also provided Interface CSProcess describes processes supporting only method run Implementation classes Parallel and Sequence (and others) have constructors that accept arrays of other CSProcess objects and create composites The choice operator [] is supported via the Alternative class Its constructor accepts arrays with elements of type Guard Alternative supports a select method that returns an index denoting which of them can (and then must) be chosen A fairSelect method works in the same way but provides additional fairness guarantees over the course of multiple selects, it will choose fairly among all ready alternatives rather than always selecting one of them The only usages of Alternative demonstrated below use guard type AltingChannelInput, which is implemented by One2OneChannel Additional utilities include CSProcess implementations such as Timer (which does delayed writes and can also be used for time-outs in Alternative), Generate (which generates number sequences), Skip (which does nothing at all one of the CSP primitives), and classes that permit interaction and display via AWT

To properly account for the within-level variation process when it is present, we should add to its variance in level j, say, wj t; x , to vj t; x , but we need make no change to the mean mj t; x . We anticipate that wj t; x will tend to be much less than vj t; x so that wj t; x can be omitted, but it could be included. Finally, we consider the aggregate bandwidth associated with n sources. Again let a superscript i index the sources. The conditional aggregate mean and variance are M tjj; x E B t jI 0 and V tjj; x Var B t jI 0

TInt User::FreeLogicalDevice(const TDesC &aDeviceName) TInt User::FreePhysicalDevice(const TDesC &aDeviceName)

17:23

4514 Dining philosophers As a classic demonstration, consider the famous Dining Philosophers problem A table holds five forks (arranged as pictured) and a bowl of spaghetti It seats five philosophers, each of whom eat for a while, then think for a while, then eat, and so on Each philosopher requires two forks the ones on the left and right to eat (no one knows why; it is just part of the story) but releases them when thinking

Note that an object name (aDeviceName) is used in this instance, rather than the le name that was used when loading the device. These functions enter the kernel via the executive call:

viji tjxi wiji tjxi ;

17:24

TInt ExecHandler::DeviceFree(const TDesC8& aName, TInt aDeviceType)

The main problem to be solved here is that, without some kind of coordination, the philosophers could starve when they pick up their left forks and then block forever trying to pick up their right forks which are being held by other philosophers There are many paths to a solution (and yet more paths to non-solution) We'll demonstrate one described by Hoare that adds a requirement (enforced by a Butler) that at any given time, at most four philosophers are allowed to be seated This requirement suffices to ensure that at all times at least one philosopher can eat if there are only four philosophers, at least one of them can get both forks This solution does not by itself ensure that all five philosophers eventually eat But this guarantee can be obtained via use of AlternativefairSelect in the Butler class to ensure fair processing of seating messages We'll use a simple, pure CSP style where all channels are one-to-one and messages have no content (using null for messages) This puts a stronger focus on the synchronization and process construction issues The system is composed of a College with five Philosophers, five Forks, and one Butler (standing in the bowl of spaghetti!), connected using One2OneChannels

where j j1 ; . . . ; jn is the vector of levels and x x1 ; . . . ; xn is the vector of elapsed holding times for the n sources with the single-source means and variances as in Eqs. (17.19) and (17.21). It is signi cant that we can calculate the conditional aggregate mean at any time t by performing a single numerical inversion, for example, by using the Euler algorithm in Abate and Whitt [2]. We summarize this elementary but important consequence as a theorem. Theorem 17.4.2. The Laplace transform of the n-source conditional mean aggregate required bandwidth as a function of time is ^ M sjj; x I

The aDeviceType parameter identi es the necessary object container (EPhysicalDevice or ELogicalDevice) within which the object is located by name. If the kernel nds the object, it closes it, which will result in deletion of the object and its code segment, if it is not in use by another thread: