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The policy that is used to choose an unpinned page for replacement can a ect the time taken for database operations considerably Many alternative policies exist, and each is suitable in di erent situations The best-known replacement policy is least recently used (LRU) This can be implemented in the bu er manager using a queue of pointers to frames with pin count 0 A frame is added to the end of the queue when it becomes a candidate for replacement (that is, when the pin count goes to 0) The page chosen for replacement is the one in the frame at the head of the queue A variant of LRU, called clock replacement, has similar behavior but less overhead The idea is to choose a page for replacement using a current variable that takes on values 1 through N , where N is the number of bu er frames, in circular order We can think of the frames being arranged in a circle, like a clock s face, and current as a clock hand moving across the face In order to approximate LRU behavior, each frame also has an associated referenced bit, which is turned on when the page pin count goes to 0 The current frame is considered for replacement If the frame is not chosen for replacement, current is incremented and the next frame is considered; this process is repeated until some frame is chosen If the current frame has pin count greater than 0, then it is not a candidate for replacement and current is incremented If the current frame has the referenced bit turned on, the clock algorithm turns the referenced bit o and increments current this way, a recently referenced page is less likely to be replaced If the current frame has pin count 0 and its referenced bit is o , then the page in it is chosen for replacement If all frames are pinned in some sweep of the clock hand (that is, the value of current is incremented until it repeats), this means that no page in the bu er pool is a replacement candidate The LRU and clock policies are not always the best replacement strategies for a database system, particularly if many user requests require sequential scans of the data Consider the following illustrative situation Suppose the bu er pool has 10 frames, and the le to be scanned has 10 or fewer pages Assuming, for simplicity, that there are no competing requests for pages, only the rst scan of the le does any I/O Page requests in subsequent scans will always nd the desired page in the bu er pool On the other hand, suppose that the le to be scanned has 11 pages (which is one more than the number of available pages in the bu er pool) Using LRU, every scan of the le will result in reading every page of the le! In this situation, called sequential ooding, LRU is the worst possible replacement strategy.

Student ages: First student: Second student: 15 20

The overall e ect of query optimization in a relational system will depend greatly on the variability of the access patterns It is di cult to beat a system with de ned connections along a query path, as we encountered in Sec 8-3, when the query matches the de ned physical structure and the database is reasonably large For unexpected queries, however, the optimization will provide much better performance than a system designed to address a di erent pattern will provide , etc) can vary a great deal from The cost of the relational operations ( , simplistic approaches to methods that exploit optimal algorithms and locality We will discuss these in the next section with the relational algebras

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The characters that begin with a slash character (\) are called escaped characters. The slash is a signal to the compiler that what follows is an escaped character. The code and the slash together are considered a single character. The escaped character \t indicates a tab, and the character \n indicates a newline (a line feed, or a carriage return). The string here will print the characters Student ages: followed by a newline (\n), then the text First student: followed by a tab (\t), then the value of the first parameter ({0}), and a newline character (\n), then the text Second student: followed by a tab (\t), and finally the value of the second parameter ({1}). You ll see a great deal more about WriteLine( ) in later chapters.

470 9-3

A C# variable is roughly the same as the variables you remember from your ninth grade algebra class: it s a placeholder for a value. To put it more technically, a variable is an instance of an intrinsic type (such as int) that can hold a value:

Database Implementation RELATIONAL ALGEBRA IMPLEMENTATION Union, intersection, and di erence of matching relations, ( , , ) Projection by domains ( ) Selection of tuples ( ) Join of arbitrary relations ( )

int myVariable = 15;

We encountered in Sec 7-4 the basic operations of the relational algebra:

You initialize a variable by writing its type (int in this case), its identifier, and then assigning a value to that variable. The equals sign (=) is the operator for assignment. You re not defining an equation in a mathematical sense; you re telling the compiler to set the contents of the variable on the left of the operator to the value of whatever is on the right of the operator. In this specific case, you re saying myVariable is an int, and it s assigned the value of 15. There are other operators, and we ll cover them in 4, but you need to know about assignment now because variables aren t much good without it. An identifier is just an arbitrary name you assign to a variable, method, class, or other element. In this case, the variable s identifier is myVariable. You can define variables without initializing them; just leave off the assignment and the value:

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