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136 Design a variant of the hybrid merge join algorithm for the case where both relations are not physically sorted, but both have a sorted secondary index on the join attributes 137 The indexed nested-loop join algorithm described in Section 1353 can be inef cient if the index is a secondary index, and there are multiple tuples with the same value for the join attributes Why is it inef cient Describe a way, using sorting, to reduce the cost of retrieving tuples of the inner relation Under what conditions would this algorithm be more ef cient than hybrid merge join 138 Estimate the number of block accesses required by your solution to Exercise 136 for r1 1 r2 , where r1 and r2 are as de ned in Exercise 135

Each appliance (or context) participating in failover needs unique addresses IP and MAC for each subnet it is connected to, which can be seen in the top-left side of Figure 23-2 If a failover occurs, the current standby unit promotes itself to the active role and changes its IP and MAC addresses to match those of the primary, as can be seen in the bottom-right side of Figure 23-2 The new active appliance then sends out frames on each interface to update any connected switch MAC address table Note that the failed appliance will not become a standby unit unless the problem that caused the failover is fixed When the problem is fixed, the previously active unit will come back online in a standby state and assume the IP and MAC addresses of the original standby unit In active/standby failover, there is no preemption process; however, in active/active failover, preemption is optional This somewhat makes sense because performing any kind of cutover can create disruptions for traffic

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139 Let r and s be relations with no indices, and assume that the relations are not sorted Assuming in nite memory, what is the lowest cost way (in terms of I/O operations) to compute r 1 s What is the amount of memory required for this algorithm 1310 Suppose that a B+ -tree index on branch-city is available on relation branch, and that no other index is available List different ways to handle the following selections that involve negation a (branch -city< Brooklyn ) (branch) b (branch -city= Brooklyn ) (branch) c (branch -city< Brooklyn assets<5000) (branch) 1311 The hash join algorithm as described in Section 1355 computes the natural join of two relations Describe how to extend the hash join algorithm to compute the natural left outer join, the natural right outer join and the natural full outer join (Hint: Keep extra information with each tuple in the hash index, to detect whether any tuple in the probe relation matches the tuple in the hash index) Try out your algorithm on the customer and depositor relations 1312 Write pseudocode for an iterator that implements indexed nested-loop join, where the outer relation is pipelined Use the standard iterator functions in your pseudocode Show what state information the iterator must maintain between calls 1313 Design sorting based and hashing algorithms for computing the division operation

Primary 1721612 19216812 Failover Link 1721613 19216813 Failed 1721613 19216813 Failover Link 1721612 19216812 New Primary Perimeter Router Internet Perimeter Router Internet

A query processor must parse statements in the query language, and must translate them into an internal form Parsing of query languages differs little from parsing of traditional programming languages Most compiler texts, such as Aho et al [1986], cover the main parsing techniques, and present optimization from a programminglanguage point of view Knuth [1973] presents an excellent description of external sorting algorithms, including an optimization that can create initial runs that are (on the average) twice the size of memory Based on performance studies conducted in the mid-1970s, database systems of that period used only nested-loop join and merge join These studies, which were related to the development of System R, determined that either the nested-loop join or merge join nearly always provided the optimal join method (Blasgen and Eswaran [1976]); hence, these two were the only join algorithms implemented in System R The System R study, however, did not include an analysis of hash join algorithms Today, hash joins are considered to be highly ef cient Hash join algorithms were initially developed for parallel database systems Hash join techniques are described in Kitsuregawa et al [1983], and extensions including hybrid hash join are described in Shapiro [1986] Zeller and Gray [1990] and Davison and Graefe [1994] describe hash join techniques that can adapt to the available mem-

Compensation Target Bonus Formula Expressed as x % of Sales Production Low Low Target 100% Percent of Sales Production High