PPT-Priority Queues and Heaps

Lecture 17 CS2110 Fall 2015 Readings and Homework Read Chapter 26 A Heap Implementation to learn about heaps Exercise Salespeople often make matrices that show all the great features of their product that the competitors product lacks Try this for a heap versus a BST First try and . Priority queues are fundamental in the design of modern multiprocessor algorithms with many classical applications ranging from numerical algorithms through discrete event simulation and expert systems While highly scalable approaches have been intr Heap and Priority . queue. Any feature here?. Heap. No . particular relationship among nodes on any given level, even among the . siblings. When . a heap is a complete binary tree, it has a smallest possible height—a heap with N nodes always has . Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. Lecture 19. CS2110 Spring 2014. 1. Readings and Homework. Read Chapter 26 to learn about heaps. Salespeople often make matrices that show all the great features of their product that the competitor’s product lacks. Try this for a heap versus a BST. First, try and sell . Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (. i. ) efficient implementation of priority queues. (ii) sorting -- . A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (i) efficient implementation of priority queues. (ii) sorting -- Heapsort.. Sections 6.1 to 6.5. 2. Priority Queues. Regular . queue. supports. First In, First Out. Enqueue. (): add a new element. Dequeue. (): remove . oldest element . in queue. Data structure supports. Insert(): add a new element. <number>. Adaptable Priority Queues. 3. a. 5. g. 4. e. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. A binary min-heap allows the operations of push and pop to occur . in an average case of . Q. (1). and . Q. (. ln. (. n. )). time, respectively. Merging two binary min-heaps, however, is an . Q. (. Making queues a first class citizen : Abstracting queues in the UApi Magnus Karlsson & Björn Töpel, Intel Problem Statement 2 bind(af_xdp_fd, netdev, queue_id) Ethtool using queue_id UAPI Drivers decide what queue ids to use for what. No standard QUeues. Today. HW 2 grades went out yesterday. Many of the problems seemed to be a problem with rigor. In proofs, justify what you’re saying and make as much explicit as you can. Today. HW 2 grades went out yesterday. Mojtaba . Malekpourshahraki. Brent Stephens. Balajee. . Vamanan. Modern . datacenter. Datacenters host multiple . applications with different requirements. Memcache. (delay). Web search (delay) . Spark (throughput). Definition of a . d. -ary min heap . Implementation as a complete tree. Examples of binary, ternary, quaternary, and quinary min heaps. Properties. Relative speeds. Optimal choice is a quaternary heap.