The least solution to Eq 1, whenever it exists, is an upper bound on the WCRT of task τi.
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The least solution to Eq 1, whenever it exists, is an
upper bound on the WCRT of task τi.
Step by step
Solved in 2 steps
- Job scheduling: Consider the problem of scheduling n jobs of known durations t1, t2, . . . , tn for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution? (Hint: You may get a clue from Prim’s Algorithm)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++)Q1 Dan has a list of problems suitable for the assignment. The difficulties of these problems are stored in a list of integers a. The i-th problem’s difficulty is represented by a[i] (the higher the integer, the more difficult the problem). Dan is too busy eating saltines to worry about assignment decisions, so he asks Michael to select at least two problems from the list for the assignment. Since there are many possible subsets of the problems to consider and Michael has a life, he decides to consider only sublists (definition follows) of the list of problems. To make grading the assignment easier, Michael wants to pick problems that don’t vary too much in difficulty. What is the smallest difference between the difficulties of the most difficult selected problem and the least difficult selected problem he can achieve by selecting a sublist of length at least 2 of the original list of problems? Definition: A sublist of a list a is any list you can obtain by removing some (possibly 0)…
- A deadlock is the very unpleasant situation that may occur in very dynamic world of running processes, a situation that must be avoided at all costs. One famous algorithm for deadlock avoidance is the Banker's algorithm for deadlock avoidance. The version of this algorithm presented in this module's commentary gives just one solution (the Greedy approach). Consider the Greedy approach to the Banker's algorithm. Give an example of application of this algorithm for 7 processes (named P1, ... , P7) and 5 resource types (named R1, ... , R5). Start by listing the matrices involved in this algorithm, that constitute its input data; also, do not forget to mention the overall resources of each type available in this fictional system. Proceed by describing the algorithm, step by step; for each step, mention the test performed, which process was chosen, what is the old and new status of the Work array, etc. In the end, list the solution, that is the safe sequence of processes resulting from this…Job scheduling Consider the problem of scheduling n jobs of known durations t1,t2,. . .,tn for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution?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 DAD
- As a teaching administrator of the department, your responsibility is to schedule the classes for a particular classroom. Suppose there are n classes, each class i is represented by its start time and finishing time [Si, fi], and we say that two classes i and j are non-conflicting if they do not overlap in time (i.e., sizfj or szfi). You want to schedule as many classes for the classroom as possible, but the scheduled classes should be non-conflicting. Develop an algorithm so that you can select the maximum number of classes for the classroom. (We are expecting either pseudocode or language description of your algorithm)C++ Only: Karan has N items in his store (numbered 1 to N); And in i Each valid (1 <= I<= N). the weight of the i th object is Wi. As Chef is very sensitive to nature. Karan wants to arrange all the weights on one side and the weights on the other side. Karan can arrange two dependent items with the help of an exchange during a single operation. Karan needs the minimum working number required to set the All-Equal weight item on one side and the All-Odd Weights on the other. Karan cannot solve this problem so he asks you to solve it. Help Chef solve this problem. Input 1 3 187 Output 1Using c++ Apply both breadth-first search and best-first search to a modified version of MC problem. In the modified MC, a state can contain any number of M’s and any number of C’s on either side of the river. Assume the goal is always to move all the persons on the left side to the right side. The Initial state should be a parameter given to the program at beginning of execution. As in the original problem, boat capacity =2, the boat cannot move by itself, and on either side C’s should not outnumber M’s. For best-first search, you need to come up with an appropriate heuristic. In addition to solving the problem, your grade will also be based on th effectiveness of the heuristic. As an example, the program should execute as follows. Initial state… Enter number of M’s on left side of the river: 3 Enter number of C’s on left side of the river: 1 Enter number of M’s on right side of the river: 0 Enter number of C’s on right side of the river: 0 Enter location of the boat: L The output…
- Solutions to a dynamic programming problem have (at minimum) three things: – A recurrence relation – A brief description of what your recurrence function represents and what each case represents. – A brief description of the memory element/storage and how it’s filled in. – Always give complete solutions, not just examples.– Always declare all your variables, in English. In particular, always describe the specific - problem your algorithm is supposed to solve. – Never use weak induction.Create a limit evaluation problem that requires substitution with an answer of 1. Please show the steps to solve the problem.11. ) An algorithm X has two parts XA and Xg. In order to complete running algorithm X both parts have to be executed consecutively. If running time of XA is e(f(n)), and running time of Xp is O() then what should be f(n) so that algorithm X has the most efficient solution.