
	Where results make sense

Topic: Best, worst and average case

Related Topics

Academy Award for Best Actor

Academy Award for Best Picture

Best Picture

Academy Award for Best Supporting Actor

Academy Award for Best Supporting Actress

Best Director

Best Actor in a Leading Role

Academy Award for Best Cinematography

Best Actress in a Leading Role

Academy Award for Best Art Direction

Best Actor

In the News (Fri 17 Feb 12)

EXECUTIVE POWER

Iran

ANALYSIS

Pakistan

Family compact

	Best, worst and average case - Wikipedia, the free encyclopedia
		In computer science, best, worst and average cases of a given algorithm express what the resource usage is at least, at most and on average, respectively.
		In real-time systems, the worst case execution time is often of particular concern since it important to know how much time might be needed in the worst case to guarantee the algorithm would always finish on time.
		Worst case analysis has similar problems, typically it is impossible to determine the exact worst case scenario.
	en.wikipedia.org /wiki/Worst-case_performance (652 words)

	Case - Wikipedia, the free encyclopedia
		Legal case, a dispute between opposing parties resolved by a court.
		Case Western Reserve University, an independent research university in Cleveland, Ohio.
		Case (KAH-seh) is also a plural form of the Italian word casa.
	en.wikipedia.org /wiki/Case (250 words)

	Reference.com/Encyclopedia/Best and worst cases (Site not responding. Last check: 2007-11-07)
		In computer science, best and worst cases in a given algorithm express what the resource usage is at least and at most, respectively.
		The worst case is most of concern since it is of critical importance to know how much time would be needed to guarantee the algorithm would finish.
		Average performance and worst-case performance are the most used in algorithm analysis while best-case performance is more of a fantasy description of an algorithm.
	www.reference.com /browse/wiki/Best_and_worst_cases (384 words)

	Prototype (Site not responding. Last check: 2007-11-07)
		The worst case power consumption appeared near the beginning of the simulation, as this was the point where the most transistors switched.
		The worst case delay is calculated based on the fact that the sixteenth output line is the one farthest from input, and also has the usual 8-transistor path (the mux’s have a 2 transistor path each, and each buffer 2) to the output, and also has the longest interconnect path.
		The worst case delay again is calculated based on the fact that the sixteenth output line is the one farthest from input.
	www.cse.psu.edu /~ramadoss/project/final.htm (3341 words)

	McGill University School of Computer Science: CS250B Section 2
		Unfortunately, though best case is usually easy to measure it is not very useful because we cannot expect many of the inputs to be best cases.
		Worst case is useful because it tells us the maximum amount of time we'll ever have to wait for an algorithm.
		However, as with best case, not every input will not always be a worst case so average running time is probably the most useful measure.
	cgm.cs.mcgill.ca /~msuder/courses/250/lectures/bigo (965 words)

	Best, Charles H(erbert) - Hutchinson encyclopedia article about Best, Charles H(erbert)
		He was one of the team of Canadian scientists including Frederick Banting whose research resulted in 1922 in the discovery of insulin as a treatment for diabetes.
		Best also discovered the vitamin choline and the enzyme histaminase, and introduced the use of the anticoagulant heparin.
		This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
	encyclopedia.farlex.com /Best,+Charles+H(erbert) (255 words)

	Lecture 2 - asymptotic notation
		To improve the best case, all we have to do it to be able to solve one instance of each size efficiently.
		Because it is usually very hard to compute the average running time, since we must somehow average over all the instances, we usually strive to analyze the worst case running time.
		We have agreed that the best, worst, and average case complexity of an algorithm is a numerical function of the size of the instances.
	www.cs.sunysb.edu /~algorith/lectures-good/node2.html (1146 words)

	hetland.org: Algorithmic Complexity (Site not responding. Last check: 2007-11-07)
		There are three terms to describe these situations: The best case running time is the running time the algorithm has when the input is as favourable as possible.
		Similarly, the worst case running time is the worst (maximum) over all possible inputs of a given size, and the average case running time is the average over all the inputs of a given size.
		If you're considering a specific case (best, worst, average) and thus have a specific running time function, you can use Ο, Ω and Θ as you see fit (also depending on how tight your bounds are).
	www.hetland.org /algorithms/complexity.php?printable=on (3122 words)

	CS332 Project 1 : Empirical Optimization of Sorting
		The recursive cases of the quick sort and merge sort algorithms are fairly complex and of course require recursive calls to implement.
		Finally, you will compare the best, worst and average case performance of the optimized versions of quick sort and merge sort to see if the optimization was effective.
		You should give a best, worst and average case analysis of the number of comparisons and the number of exchanges for each algorithm (or an every-case analysis if appropriate).
	www.dickinson.edu /~ziantzl/cs332/project/proj1.html (2325 words)

	Pursuit Evaluator(Enforcement) (Site not responding. Last check: 2007-11-07)
		Sallie reads that sometimes cases take a long time to prosecute and that sometimes people are not able to collect their judgments.
		She decides to see the best case scenario as it might be more encouraging.
		The best case graph and steps are a little better, but suing would still require her to pay a filing fee up front, and she would have to take time off work.
	www.judgelink.org /a2j/system_design/Resolution/pe_enf.cfm (1320 words)

	MSN Money - Worst-case scenario: no job, no money
		A withdrawal permanently reduces the value of your policy, and you may owe taxes on the money if your cash value is greater than the sum of all the premiums you paid in.
		Unfortunately, this is the first pot of money many people raid when they lose their jobs, and it’s one of the worst sources of funds.
		An investor's best course of action must be based on individual circumstances.
	moneycentral.msn.com /content/savinganddebt/p52332.asp (1765 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Best, Worst, and Average case for MergeSort is the same O(NlogN) — a very stable algorithm whose complexity is independent of the input array.
		Quciksort Pick a pivot from the array, throw all lesser elements on the left side of the pivot, and throw all greater elements on the other side, so that the pivot is in the correct position.
		In case there already exists some relation (say, user-provided, or derived from other relations) you have to take intersection afterwards with the existing relation between the pair of objects (say, a->c) in order to "reduce" the relation there.
	www2.cs.fit.edu /~dmitra/Algorithms/SORTING.doc (1249 words)

	Circuit Complexity: from the Worst Case to the Average Case - Jakoby, Reischuk, Schindelhauer (ResearchIndex) (Site not responding. Last check: 2007-11-07)
		Therefore, in complexity theory only worst case complexity measures have been used to analyse this model.
		The Average Case Complexity of the Parallel Prefix..
		Jakoby, R. Reischuk, C. Schindelhauer, Circuit Complexity: from the Worst Case to the Average Case, Proc.
	citeseer.ist.psu.edu /115950.html (591 words)

	A Star from Mosul
		Ideally, it's best no to have those walls, as those same walls that keep pain out, will also be keeping love out too.
		The best time for me is in the Spring, when the new leaves open and the flowers start to bloom.
		Best of luck with your library project- it is a nobel cause.
	astarfrommosul.blogspot.com (8054 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Other: Know the best, worst and average case complexities for insert, delete, retrieve of the following: ordered array, unordered array, ordered linked list, unordered linked list, binary search tree, height-balanced binary search tree (using AVL rotations), red-fl tree, 2-3 tree, 2-3-4 tree, hash table.
		Also know the best and worst case complexities of the best sorting algorithms (mergesort, heapsort, quicksort).
		Be able to describe each of these implementations’ advantages and disadvantages, or explain why you would select one of these for a given problem.
	www.nku.edu /~foxr/CSC364/sg3.doc (529 words)

	Political Calculations: Best and Worst Case Stock Market Investing (Site not responding. Last check: 2007-11-07)
		Compared to determining the effective return that an average "investor" can expect to earn from their "investment" in Social Security, working out the best and worst case investment returns from investing in the stock market turned out to be a breeze!
		that shows the general trend between investment holding period and the best and worst case performance of the stock market between 1926 and 1992.
		Investors should note that Siegel's work is based on the performance of the entire U.S. stock market, which today may be best be tracked through the performance of the diversified Wilshire 5000 stock index.
	politicalcalculations.blogspot.com /2005/01/best-and-worst-case-stock-market.html (515 words)

	[No title]
		In worst case, every node has a different heuristic value (this is unlikely), and there a separate iteration is required to generated (for the first time) each node.
		The MST must be a lower bound, because if it isn’t and there is a solution of lower cost, than a lower MST could be constructed by removing the lowest-cost edge from the solution.
		Also, be able to order the trees for these cases to achieve the minimum number of frontier node examinations by alpha-beta.
	www2.hawaii.edu /~cpowley/ICS461/midterm-review.txt (2725 words)

	April 4, 2005 - Free For All: How Many Wins in 2005?
		Jim Turner: As we stand on the cusp of the 2005 season, we have a revamped bullpen with a newly anointed closer.
		The greatest power hitter in club history is gone, replaced by the best Canadian player ever to suit up.
		Out of nine positions we figure to be above average at maybe 4 or 5, tops, but there is more potential to crash and burn than to break out.
	www.torontobaseballguys.com /20050404ffa.html (816 words)

	CS343 review (Site not responding. Last check: 2007-11-07)
		The Needleman-Wunsch dynamic programming algorithm to calculate best match score for two DNA sequences, was presented in class.
		Describe a case where bubble sort is faster than quick sort.
		Describe a situation where insertion sort is the best choice.
	www.willamette.edu /~levenick/cs343/lectures/review.html (267 words)

	CS332 - Analysis of Algorithms
		Quick sort and merge sort are both divide and conquer recursive algorithms with O(n lg n) average case running time.
		Remember that the goal here is to find the value of n0 for which selection sort should be used as the base case for quick sort and merge sort.
		A simple statement of their complexity is insufficient you should have at least a paragraph and possibly some equations to explain the asymptotic bounds.
	www.dickinson.edu /~braught/courses/cs332s01/classes/proj1.html (2379 words)

	Best, best, good, bested, bests, besting- WordWeb dictionary definition
		Best, best, good, bested, bests, besting- WordWeb dictionary definition
		"the best film of the year"; "the best solution"; "the best time for planting"; "wore his best suit"
		Encyclopedia: Best, NC Best Best, worst and average case Best, North Carolina
	www.wordwebonline.com /en/BEST (302 words)

	cmsc210
		The worst case time for an algorithm is defined as
		the average time needed to execute the algorithm for all inputs of size n.
		The best case time for an algorithm is defined as
	www.tcnj.edu /~vanhise/finalreview.htm (1041 words)

	CS 512 Homework 4
		In this particular algorithm, there is no difference between best-, average- and worst-case analysis: they all incur 2
		is zero, in which case no multiplications or additions are done.
		contains all ones, in which case the number of multiplications is zero and the number of additions are the same as they were for the previous algorithm.
	bluehawk.monmouth.edu /rclayton/web-pages/s00-512/hw4.html (355 words)

	Bubble Sort Analysis
		During the explorations, we learned that the number of comparisons bubble sort makes is not affected by the values in the data, so the analysis for worst-case, best-case and average case are all the same and depend only on the for loops in the pseudocode.
		It is interesting that, in this case, our rough estimate which seems heavy handed turns out to be correct.
		One of the skills in analysis is know when you have gone deep enough in your analysis.
	www.ship.edu /~cawell/Sorting/bubanal.htm (240 words)

	Searching
		In the case of an array of objects, you may instead want to search on a value in the state of the objects and return the object....
		Although formally proven by induction, essentially the analysis process is like the linear search in that E(X) is the sum of integers from 1 to n, but in the binary search we'll sum from 1 to log n.
		Thus the average search length is O(log n)
	faculty.juniata.edu /kruse/cs2java/searching.htm (450 words)

	Mergesort
		However, it also is recursive in a static way, so that it cannot vary or be caught in bad cases where it might perform uncharacteristically badly.
		So the average, worst and best case running time is identical no matter what.
		At the same time, it shows the number of comparisons actually used, and a worst case upper bound on this number.
	www.softpanorama.org /Algorithms/Sorting/mergesort.shtml (427 words)

	SE 520 -- HW 4, due 10/21/02, ITU Fall 2002 (Site not responding. Last check: 2007-11-07)
		Assume we alternately choose the smallest key (bad) as the pivot and then choose the median key (good) as the pivot.
		Apply tail recursion removal to quicksort, reducing the worst case space complexity O(log n).
		Give the best,average,and worst case time complexity of your code.
	quong.best.vwh.net /itu/se520/hw4.html (1398 words)

	Scribe Notes for Design & Analysis of Algorithms CS 404/504
		This sort is an excellence example of a divide and conquer algorithm.
		Let's look at a recurrence relation for the running time for Quicksort in the best/worst cases.
		If we choose s to be X[1], then we get the following recurrence relation for the worst-case running time.
	ace.cs.ohiou.edu /~juedes/cs404/scribe10/scribe10.html (224 words)

	Worst and Best-Case Coverage in Sensor Networks (Site not responding. Last check: 2007-11-07)
		We briefly discuss the definition of the coverage problem from several points of view and formally define the worst and best-case coverage in a sensor network.
		By combining computational geometry and graph theoretic techniques, specifically the Voronoi diagram and graph search algorithms, we establish the main highlight of the paper—an optimal polynomial time worst and average case algorithm for coverage calculation for homogeneous isotropic sensors.
		We also present several experimental results and analyze potential applications, such as using best and worst-case coverage information as heuristics to deploy sensors to improve coverage.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/trans/tm/&toc=comp/trans/tm/2005/01/h1toc.xml&DOI=10.1109/TMC.2005.15 (231 words)

	[No title]
		* * @param n the size of the tree for which the average search hit is needed.
		* * @param n the size of the tree for which the worst case search hit is needed.
		* * @return double the is the worst case search hit.
	www.cs.princeton.edu /courses/archive/spring02/cs226/demo/tree/source/RedBlackTreeHead.java (1449 words)

Try your search on: Qwika (all wikis)