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| 1 | +#!/usr/bin/env python3 |
| 2 | + |
| 3 | +""" |
| 4 | +Author : Mohit Kumar |
| 5 | +Job Sequencing Problem implemented in python |
| 6 | +""" |
| 7 | +from collections import namedtuple |
| 8 | +from typing import List |
| 9 | + |
| 10 | + |
| 11 | +class Scheduling: |
| 12 | + def __init__(self, jobs: List[int]) -> None: |
| 13 | + """ |
| 14 | + Assign jobs as instance of class Scheduling |
| 15 | + """ |
| 16 | + self.jobs = jobs |
| 17 | + |
| 18 | + def schedule(self, total_jobs: int, deadline: List[int]) -> List[int]: |
| 19 | + """ |
| 20 | + Parameteres : total_jobs and list of deadline of jobs |
| 21 | + Returns : List of jobs_id which are profitable and can be done before |
| 22 | + deadline |
| 23 | + >>> a = Scheduling([(0, 13, 10),(1, 2, 20),(2, 33, 30),(3, 16, 40)]) |
| 24 | + >>> a.schedule( 3, [3, 4, 5]) |
| 25 | + [(1, 2, 20), (2, 33, 30)] |
| 26 | + >>> a = Scheduling([(0, 13, 10),(1, 2, 20),(2, 33, 30),(3, 16, 40)]) |
| 27 | + >>> a.schedule( 4, [13, 2, 33, 16]) |
| 28 | + [(1, 2, 20), (2, 33, 30), (3, 16, 40)] |
| 29 | + """ |
| 30 | + self.j = [self.jobs[1]] |
| 31 | + self.x = 2 |
| 32 | + while self.x < total_jobs: |
| 33 | + self.k = self.j.copy() |
| 34 | + self.k.append(self.jobs[self.x]) |
| 35 | + self.x += 1 |
| 36 | + if self.feasible(self.k, deadline): |
| 37 | + self.j = self.k.copy() |
| 38 | + |
| 39 | + return self.j |
| 40 | + |
| 41 | + def feasible(self, profit_jobs: List[int], deadline: List[int]) -> bool: |
| 42 | + """ |
| 43 | + Parameters : list of current profitable jobs within deadline |
| 44 | + list of deadline of jobs |
| 45 | + Returns : true if k[-1] job is profitable to us else false |
| 46 | + >>> a = Scheduling([(0, 13, 10),(1, 2, 20),(2, 33, 30),(3, 16, 40)]) |
| 47 | + >>> a.feasible( [0], [2, 13, 16, 33] ) |
| 48 | + True |
| 49 | + >>> a = Scheduling([(0, 13, 10),(1, 2, 20),(2, 33, 30),(3, 16, 40)]) |
| 50 | + >>> a.feasible([0], [2, 13, 16, 33] ) |
| 51 | + True |
| 52 | + """ |
| 53 | + |
| 54 | + self.tmp = profit_jobs |
| 55 | + self.is_feasible = True |
| 56 | + |
| 57 | + i = 0 |
| 58 | + j = 1 |
| 59 | + k = 0 |
| 60 | + |
| 61 | + while i < len(self.tmp): |
| 62 | + while j < len(self.tmp): |
| 63 | + self.index1 = self.jobs.index(self.tmp[i]) |
| 64 | + self.index2 = self.jobs.index(self.tmp[j]) |
| 65 | + j += 1 |
| 66 | + if deadline[self.index1] > deadline[self.index2]: |
| 67 | + (self.tmp[i], self.tmp[j]) = ( |
| 68 | + self.tmp[j], |
| 69 | + self.tmp[i], |
| 70 | + ) |
| 71 | + i += 1 |
| 72 | + |
| 73 | + while k < len(self.tmp): |
| 74 | + self.job = self.tmp[k] |
| 75 | + if self.job in self.jobs: |
| 76 | + self.jobindex = self.jobs.index(self.job) |
| 77 | + else: |
| 78 | + self.jobindex = 0 |
| 79 | + self.dlineval = deadline[self.jobindex] |
| 80 | + self.ftest = k + 1 |
| 81 | + k += 1 |
| 82 | + if self.dlineval < self.ftest: |
| 83 | + self.is_feasible = False |
| 84 | + break |
| 85 | + return self.is_feasible |
| 86 | + |
| 87 | + |
| 88 | +def main(): |
| 89 | + job = namedtuple("job", "job_id deadline profit") |
| 90 | + jobs = [ |
| 91 | + job(0, 0, 0), |
| 92 | + job(1, 2, 46), |
| 93 | + job(2, 4, 52), |
| 94 | + job(3, 3, 30), |
| 95 | + job(4, 3, 36), |
| 96 | + job(5, 2, 56), |
| 97 | + job(6, 1, 40), |
| 98 | + ] |
| 99 | + # midresult stores jobs in sorting order of deadline |
| 100 | + midresult = [] |
| 101 | + for i in range(len(jobs)): |
| 102 | + current_job = [] |
| 103 | + current_job.extend((jobs[i].deadline, jobs[i].profit, jobs[i].job_id)) |
| 104 | + midresult.append(current_job) |
| 105 | + midresult.sort(key=lambda k: (k[0], -k[1])) |
| 106 | + (deadline, profit, jobs) = map(list, zip(*midresult)) |
| 107 | + |
| 108 | + scheduling_jobs = Scheduling(jobs) |
| 109 | + scheduled_jobs = scheduling_jobs.schedule(len(jobs), deadline) |
| 110 | + print(f"\n Jobs {scheduled_jobs}") |
| 111 | + |
| 112 | + finalprofit = [] |
| 113 | + finaldl = [] |
| 114 | + |
| 115 | + for i, item in enumerate(scheduled_jobs): |
| 116 | + jobsindex = jobs.index(item) |
| 117 | + finalprofit.append(profit[jobsindex]) |
| 118 | + finaldl.append(deadline[jobsindex]) |
| 119 | + |
| 120 | + print(f"\n Profit {finalprofit}") |
| 121 | + print(f"\n Deadline {finaldl}") |
| 122 | + |
| 123 | + |
| 124 | +if __name__ == "__main__": |
| 125 | + main() |
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