Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation

This paper deals with a single-machine resource allocation scheduling problem with learning effect and group technology. Under slack due-date assignment, our objective is to determine the optimal sequence of jobs and groups, optimal due-date assignment, and optimal resource allocation such that the...

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Main Authors: Wanlei Wang, Jian-Jun Wang, Ji-Bo Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6615824
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author Wanlei Wang
Jian-Jun Wang
Ji-Bo Wang
author_facet Wanlei Wang
Jian-Jun Wang
Ji-Bo Wang
author_sort Wanlei Wang
collection DOAJ
description This paper deals with a single-machine resource allocation scheduling problem with learning effect and group technology. Under slack due-date assignment, our objective is to determine the optimal sequence of jobs and groups, optimal due-date assignment, and optimal resource allocation such that the weighted sum of earliness and tardiness penalties, common flow allowances, and resource consumption cost is minimized. For three special cases, it is proved that the problem can be solved in polynomial time. To solve the general case of problem, the heuristic, tabu search, and branch-and-bound algorithms are proposed.
format Article
id doaj-art-374c3c2238124567b2196c7b78730907
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-374c3c2238124567b2196c7b787309072025-02-03T01:29:18ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66158246615824Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource AllocationWanlei Wang0Jian-Jun Wang1Ji-Bo Wang2College of Mechanical and Electronic Engineering, Dalian Minzu University, Dalian 116600, ChinaSchool of Economics and Management, Dalian University of Technology, Dalian 116024, ChinaSchool of Science, Shenyang Aerospace University, Shenyang 110136, ChinaThis paper deals with a single-machine resource allocation scheduling problem with learning effect and group technology. Under slack due-date assignment, our objective is to determine the optimal sequence of jobs and groups, optimal due-date assignment, and optimal resource allocation such that the weighted sum of earliness and tardiness penalties, common flow allowances, and resource consumption cost is minimized. For three special cases, it is proved that the problem can be solved in polynomial time. To solve the general case of problem, the heuristic, tabu search, and branch-and-bound algorithms are proposed.http://dx.doi.org/10.1155/2021/6615824
spellingShingle Wanlei Wang
Jian-Jun Wang
Ji-Bo Wang
Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
Complexity
title Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
title_full Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
title_fullStr Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
title_full_unstemmed Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
title_short Solution Algorithms for Single-Machine Group Scheduling with Learning Effect and Convex Resource Allocation
title_sort solution algorithms for single machine group scheduling with learning effect and convex resource allocation
url http://dx.doi.org/10.1155/2021/6615824
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AT jianjunwang solutionalgorithmsforsinglemachinegroupschedulingwithlearningeffectandconvexresourceallocation
AT jibowang solutionalgorithmsforsinglemachinegroupschedulingwithlearningeffectandconvexresourceallocation