# Questions tagged [scheduling]

Questions about the optimisation problem of ordering a set of tasks so that some objective function (e.g. makespan) is minimised. The set of constraints is crucial; in particular, there is a large body of research covering online variants. Use the process-scheduling tag for questions specifically about scheduling in operating systems.

99 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
79 views

### Need help figuring out a planning/assignment problem

I'm looking to solve this planning problem. Any pointers or ideas are much appreciated! You have a number of i individuals i = { 1, 2, ..., n } that need to perform tasks. Tasks are performed in ...
436 views

### Problems of cyclic executive approach for scheduling of real time systems

I have a doubt on the cyclic executive approach for scheduling on real time systems. From Alan Burns's book Real-time Systems and Programming Languages. This final property represents one of the ...
101 views

Given a set of $N$ jobs and two machines A and B, each machine can process only one job at a time. Each job, if processed, must be processed by machine A before processed by machine B. The processing ...
456 views

### Variation of interval scheduling algorithm with several job categories, only one from each can be used

I have a problem similar to the interval scheduling algorithm. The differences are: The jobs have the same length. There are several categories of jobs and only one job from each category can be ...
37 views

### I'ld like a better algorithm for scheduling tutors to fill a set of shifts

My problem is as follows: I have a set of shifts at various locations that need to be filled by tutors. A simple example would be basic math in room A on M, W, F from 9-11am and Sa from 12-3 pm. ...
41 views

### Scheduling is NP-Hard via vertex cover

Are there any existing proofs involving a reduction of the single machine scheduling problem (in any of its forms really) from vertex cover in order to prove its NP-hardness? Particularly looking for ...
595 views

I want to write a scheduling algorithm for the following scenario: There is a set of tasks to complete, each one with a due date, difficulty (easy, normal, hard) and progress on the task. The idea is ...
44 views

### Misunderstanding SS22 Sequencing to Minimize Tardy Tasks

I was reading "COMPUTERS AND INTRACTABILITY. A Guide to the Theory of NP-Completeness", and I am stuck at this part (page 236, SS22): In the second paragraph, 3rd line, the authors said that: "The ...
37 views

19 views

### Optimal Selection of Non-Overlapping Jobs

I'm trying to find what the family of problem is - as well as an approach - for the following: I have a set of tasks T = [t1, ..., tn] to do, each of which has a corresponding reward ri. Each task ...
18 views

### Understanding proofs Lemma 11 & 10 in this specific Computer Science Scheduling Paper

I'm having a hard time wrapping my head around the proofs Lemma 11 and Lemma 10 (Pages 10 and 11) in this paper called: Preemptive and Non-Preemptive Real-Time UniProcessor Scheduling. Generally the ...
24 views

### “Job” scheduling with skill restrictions

I was given this real life problem and was asked if there would be a way to optimize this, I realize that this is akin to a job scheduling problem, but I can't seem to grasp how to make it work with ...
14 views

### Shortest sequence of jobs, with dependencies, subject to capacity constraints

Suppose I have $n$ courses, some with some prerequisites, and I can take up to $k$ courses in a semester. I want to compute the least number of semesters needed to complete all courses, while ...
23 views

### Unconditionally fair, weakly fair, and strongly fair scheduling

I am trying to understand the difference between weakly fair and strongly fair scheduling. For example, what scheduling policy would ensure that a process delayed at its first await statement will ...
15 views

### Criteria based estimation of a task's due date

Basically we have a ticket system, each day we get multiple tickets with different categorization (Question,Change,Error) and importance (High,Mid,Low) for different customers (A,B,C). My job is to ...
17 views

### How do programs like Apache Airflow/ Luigi determine shortest path and how does that relate to graph theory?

I am looking for a simple layman's term explanation on how do programs like Apache Airflow or Luigi (or any Task/ETL schedulers) determine the shortest path to complete a certain task and make it ...
43 views

### coloring of an interval graph with constraints

Given an interval graph that represents a set of tasks, in a given period of time, to be assigned to a set of employees, the objective is to find a minimum coloring of this graph such that the total ...
58 views

### Designing a rationing algorithm for a store

Suppose I have a store and I have n units of item x. I want to sell all n units at the end of the day. I do not know how many customers will be coming in today. One customer could theoretically come ...
41 views

### $n$ machines, $n$ types of jobs with $q_j$ jobs, minimizing the cost

I have this problem A ļ¬rm has $q_j$ jobs of type $j$, where $1 \leq j \leq n$. It also has $[n] = {1,2,...n}$ machines. Machine $i$ can service any job of type $j$ where $j ā¤ i$. The cost of ...
19 views

### Disk Scheduling for a Fragmented Hard-Drive

Recently In class I have been learning about simple disk scheduling algorithms such as FCFS, STTF, LOOK, LOOK-SCAN etc. From my understanding these algorithms schedule I/O requests depending on which ...
37 views

### Sort-of interval scheduling

The Problem I have a set of sets of time intervals (hour, minute, day of the week). I want to select exactly one interval from each of set, and I want to minimize... the number of pairwise ...
21 views

92 views

### Default scan order in SCAN and LOOK disk scheduling algorithms

I've been learning various disk scheduling algorithms in Operating systems. I wanted to know if there was any default scan order in SCAN, C-SCAN, LOOK and C-LOOK algorithms, like towards higher ...
106 views

### Virtualization: overcommitment and vCPU scheduling

I am currently writing a paper about lock-holder preemption with multiprocessors in virtualized enviornment. But I have two questions: one about overcommitment of CPU resources and about scheduling ...
231 views

### Job scheduling and packing algorithm

I was thinking about developing a daily production work plan algorithm for an enterprise. The problem is as following: There are various tasks that needs to be completed, each has a deadline, a ...