Are all scheduling problems NP-Hard? - Stack Overflow
2016年12月13日 · Consider the scheduling problem that is in the class P: Input: list of activities which include the start time and finish time. Sort by finish time. Select the first N elements of this sorted list to find the maximum amount of activities you can schedule in a given time.
Proof of optimality of a greedy solution to job sequencing
2015年1月13日 · Place job i to the rightmost position possible in I_i. In total, we have the following statement. Each solution S can be transformed into a solution S' with the following propoerties. S' contains every job of S which finishes before its deadline. For every job i in S, all jobs after i in I_i have a larger processing time.
Modeling a job-scheduling problem with variable resource mapping
2019年9月12日 · I am new to google or-tools and I am trying to solve the following problem: a number of tasks with precedence constraints; a pool of N resources; resources are grouped by names (a: [0, 1], b: [2, 3, 4], ...) each job may acquire resources, either directly (job j needs resource 13 and 14) or indirectly (job j needs 1 resource of group a and 2 of ...
Dynamic Programming Job Scheduling with Deadlines
Looking at the first bullet, the first job starts at time 4, lasts for 3 units, and should be done by time 13. So, it goes from time: 4-7, with an empty time from 7-13. The second job starts at 2, lasts for 4, ends by 8. So it is from 2-6 with an empty space between 6-8. Now, based on the video, he mentions overlapping.
algorithm - A task/job scheduling problem - Stack Overflow
2011年4月15日 · I have a task/job scheduling problem and I would like to find preferably efficient algorithms to solve it. Let's say there are some workers. Every worker is able to do a different set of tasks/jobs. The following example may make it clear: Worker A (can do): T2, T3 Worker B : T1, T3, T4 Worker C : T3, T5
Maximize resource usage during job scheduling algorithm?
2017年10月30日 · I'm trying to create a dynamic programming algorithm to a job scheduling problem. I have a set of n jobs, with each job i having a start time s(i) and finish time f(i). Start is always before finish, and you can have two jobs at the same time. How would I go about creating an algorithm to maximize the amount of time the resource is busy?
Job Scheduling Algorithm in Java - Stack Overflow
I need to design an efficient algorithm for a scheduling problem and I really don't have a clue. There's a machine that produces pills in a certain rate. For example, the machine might be capable to produce 1 pill if it is allowed to continuously work for one day, 4 pills, if it is allowed to work for 3 days, 16 pills if it works for 5 days ...
NP-Completeness in Task Scheduling - Stack Overflow
2015年4月30日 · The goal is to solve the scheduling problem, and return a working schedule with every job scheduled properly, using a polynomial number of calls to the special function. EDIT: To clarify, the question is this: Create a solution to schedule all n tasks without any going over deadline, using a polynomial number of calls to the "special function ...
Profit dependent on the previous job time - Job Scheduling problem
2020年3月8日 · There are n jobs that need to be processed on a single machine. Job j requires t j time units to execute and has a profit value of p j. All the jobs are to schedule in time W = summation of t j time units. Scheduling job j to start at time s j earns a profit (W - s j)*p j.
Dynamic programming interval scheduling with time between jobs
2013年7月9日 · I'm trying to program the interval scheduling problem with dynamic programming. All jobs have different (positive) weights and don't overlap. These weights represent different run times. An idle time of three "gaps" may exist between jobs. Furthermore, each time unit for each job (in seconds) takes one resource.