arbitrary rational numbers, can your algorithm, be modified so that it will produce optimal preemptive schedules o
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If the execution times of jobs are arbitrary rational numbers, can your
that it will produce optimal preemptive schedules of such jobs? Explain your answer
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- From Greedy Algorithm, there were 3 candidates of simple rules that are really impractical when we designed an algorithm to solve the interval scheduling problem. The first impractical rule was picking a request that starts earliest. The second impractical rule was picking a request that has minimum interval. And the last one was picking a request with the smallest number of conflicts. Describe in 1 paragraph the scenario that will cause a problem if we implement the last rule as a simple rule of the greedy algorithm.Algorithm X has a growth rate that is proportional to n ∗ n ∗ n . What is the function that represents the growth rate of algorithm X? What is the order of algorithm X?Given a set of jobs {J1, ... , Jn}, each job Ji = < ti, wi > has a required processing time ti and aweight wi. Design an efficient algorithm (pseudo code) to minimize the weighted sum of overall completion times ∑ni=1wiCi, where Ci is the completion time of job i. What is the time complexityof your algorithm? Note: You first need to briefly explain your ideas to solve the problem, e.g. what data structures are used, how the intermediate results are saved, which sorting strategy is used, and why the final results are correct;
- Given a set of jobs {J1, ... , Jn}, each job Ji = < ti, wi > has a required processing time ti and aweight wi. Design an efficient algorithm (pseudo code) to minimize the weighted sum of overallcompletion times ∑ni=1wiCi, where Ci is the completion time of job i. What is the time complexityof your algorithm? Note: You first need to briefly explain your ideas to solve the problem, e.g. what data structures are used, how the intermediate results are saved, which sorting strategy is used, and why the final results are correct;The search algorithm developed will be used for users to search the catalog for all items matching the search keyword(s), and there are a total of 15000 items in the catalog. During development, three different algorithms were created. • Algorithm A runs in constant time, with a maximum runtime of 1.10 seconds and returns all matching results. ● Algorithm B runs in logarithmic time, with a maximum runtime of 0.3 seconds, and returns only the first result. ● Algorithm C runs in linear time, with a maximum runtime of 1.50 seconds and returns all matching results. Which algorithm would be the least suitable for the requirements stated? In your answer, justify your choice by explaining why you picked that algorithm, and why you did not pick the other two algorithms.OND OND OND DADWrite A greedy algorithm for the event scheduling problem and explain italgorithm Scheduling(s1, f1, s2, f2, ... , sn, fn) pre-cond: The input consists of a set of events. post-cond: The output consists of a schedule that maximizes the number ofevents scheduled
- Construct a graph of the dependence of the execution time of the algorithm on the size of the input data |and determine the efficiency class of this algorithm. The following values of the input data size N and the data processing time are known according to the presented algorithm t: Input data size N Working hours algorithm t 5 000 9 000 14 000 50 000 300 000 201 206 211 225 2341. Design an efficient algorithm to solve the following scheduling problem. Provide a pseudo- code and a worst case complexity analysis for your algorithm. You are given a set of n jobs with a processing time t; and a weight w; for each job. You want to order the jobs so as to minimize the weighted some of the completion times, Žw,C, . i=1 Example: Suppose there are two jobs, the first takes time ti = 1 and has weight wi = 10, while the second takes time t2 = 3 and has weight w2 = 2. Then doing job 1 first would yield a weighted completion time of 10x1 + 2x4 = 18, while doing job 2 first yields the larger weighted completion time of 10x4 + 2x3 = 46.There are ? tasks assigned to ? workers, and each worker can be assigned only one task. Each worker can complete any one of the tasks, but the time spent varies. Use the ant colony algorithm to find the best allocation scheme that minimizes the total time spent. Please write a program to solve the problem (with python/C/C++)
- Write A greedy algorithm for the event scheduling problem.algorithm Scheduling(s1, f1, s2, f2, ... , sn, fn) pre-cond: The input consists of a set of events. post-cond: The output consists of a schedule that maximizes the number ofevents scheduledConsider the two versions of Quicksort that are based on the following: (i) Median selection algorithm using the linear-time select method; (ii) The randomized pivot selection algorithm Which of the two algorithms has a faster worst-case asymptotic behavior? Which of the two algorithms has a faster average-case performance? Provide empirical evidence of your answer by writing the corresponding programs for each and conducting experimental evaluation. Your experimental results should provide evidence of your answer. For this you need to run an adequate number of experiments on a variety of array/list sizes (use large randomly generated lists of integers).43- Suppose that you implement an algorithm to solve a problem. It works correctly and quickly for small inputs, but you notice that your program runs much slower as the input size grows (to the point of becoming unusable). In fact, each time you increase the input size by one the execution time of your program roughly doubles! Which of the following options is the most effective way of addressing this issue? You may assume that program outputs which are close to optimal are acceptable. a. Purchase a faster computer---this is a worthwhile investment as a programmer and will resolve this kind of issue. b. Design a new approximate algorithm with lower time complexity. c. Remove comments and any other non-essential elements in your source code that may be slowing things down. d. Switch to a more efficient programming language, such as machine code, because although Python is readable it is also too slow. e. Invoke Python with the --linear-time option to force…