Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights

This paper considers a single-machine due-window assignment scheduling problem with position-dependent weights, where the weights only depend on their position in a sequence. The objective is to minimise the total weighted penalty of earliness, tardiness, due-window starting time, and due-window siz...

Full description

Saved in:
Bibliographic Details
Main Authors: Li-Yan Wang, Dan-Yang Lv, Bo Zhang, Wei-Wei Liu, Ji-Bo Wang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/9746538
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832546858680975360
author Li-Yan Wang
Dan-Yang Lv
Bo Zhang
Wei-Wei Liu
Ji-Bo Wang
author_facet Li-Yan Wang
Dan-Yang Lv
Bo Zhang
Wei-Wei Liu
Ji-Bo Wang
author_sort Li-Yan Wang
collection DOAJ
description This paper considers a single-machine due-window assignment scheduling problem with position-dependent weights, where the weights only depend on their position in a sequence. The objective is to minimise the total weighted penalty of earliness, tardiness, due-window starting time, and due-window size of all jobs. Optimal properties of the problem are given, and then, a polynomial-time algorithm is provided to solve the problem. An extension to the problem is offered by assuming general position-dependent processing time.
format Article
id doaj-art-26535406b2a64d11b36ed8cbc9327126
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-26535406b2a64d11b36ed8cbc93271262025-02-03T06:46:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/97465389746538Optimization for Due-Window Assignment Scheduling with Position-Dependent WeightsLi-Yan Wang0Dan-Yang Lv1Bo Zhang2Wei-Wei Liu3Ji-Bo Wang4School of Science, Shenyang Aerospace University, Shenyang 110136, ChinaSchool of Science, Shenyang Aerospace University, Shenyang 110136, ChinaSchool of Science, Shenyang Aerospace University, Shenyang 110136, ChinaDepartment of Science, Shenyang Sport University, Shenyang 110102, ChinaSchool of Science, Shenyang Aerospace University, Shenyang 110136, ChinaThis paper considers a single-machine due-window assignment scheduling problem with position-dependent weights, where the weights only depend on their position in a sequence. The objective is to minimise the total weighted penalty of earliness, tardiness, due-window starting time, and due-window size of all jobs. Optimal properties of the problem are given, and then, a polynomial-time algorithm is provided to solve the problem. An extension to the problem is offered by assuming general position-dependent processing time.http://dx.doi.org/10.1155/2020/9746538
spellingShingle Li-Yan Wang
Dan-Yang Lv
Bo Zhang
Wei-Wei Liu
Ji-Bo Wang
Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
Discrete Dynamics in Nature and Society
title Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
title_full Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
title_fullStr Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
title_full_unstemmed Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
title_short Optimization for Due-Window Assignment Scheduling with Position-Dependent Weights
title_sort optimization for due window assignment scheduling with position dependent weights
url http://dx.doi.org/10.1155/2020/9746538
work_keys_str_mv AT liyanwang optimizationforduewindowassignmentschedulingwithpositiondependentweights
AT danyanglv optimizationforduewindowassignmentschedulingwithpositiondependentweights
AT bozhang optimizationforduewindowassignmentschedulingwithpositiondependentweights
AT weiweiliu optimizationforduewindowassignmentschedulingwithpositiondependentweights
AT jibowang optimizationforduewindowassignmentschedulingwithpositiondependentweights