A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine

We consider a scheduling problem in which both resource dependent release times and two agents exist simultaneously. Two agents share a common single machine, and each agent wants to minimize a cost function dependent on its own jobs. The release time of each A-agent’s job is related to the amount...

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Main Authors: Peng Liu, Lini Duan
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/503297
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author Peng Liu
Lini Duan
author_facet Peng Liu
Lini Duan
author_sort Peng Liu
collection DOAJ
description We consider a scheduling problem in which both resource dependent release times and two agents exist simultaneously. Two agents share a common single machine, and each agent wants to minimize a cost function dependent on its own jobs. The release time of each A-agent’s job is related to the amount of resource consumed. The objective is to find a schedule for the problem of minimizing A-agent’s total amount of resource consumption with a constraint on B-agent’s makespan. The optimal properties and the optimal polynomial time algorithm are proposed to solve the scheduling problem.
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institution Kabale University
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publishDate 2015-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-41936ac73fab473e88b91a5bb71547b82025-02-03T01:08:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/503297503297A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single MachinePeng Liu0Lini Duan1School of Management, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Economics & Management, Shenyang University of Chemical Technology, Shenyang 110142, ChinaWe consider a scheduling problem in which both resource dependent release times and two agents exist simultaneously. Two agents share a common single machine, and each agent wants to minimize a cost function dependent on its own jobs. The release time of each A-agent’s job is related to the amount of resource consumed. The objective is to find a schedule for the problem of minimizing A-agent’s total amount of resource consumption with a constraint on B-agent’s makespan. The optimal properties and the optimal polynomial time algorithm are proposed to solve the scheduling problem.http://dx.doi.org/10.1155/2015/503297
spellingShingle Peng Liu
Lini Duan
A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
Discrete Dynamics in Nature and Society
title A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
title_full A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
title_fullStr A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
title_full_unstemmed A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
title_short A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine
title_sort note on two agent scheduling with resource dependent release times on a single machine
url http://dx.doi.org/10.1155/2015/503297
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AT liniduan anoteontwoagentschedulingwithresourcedependentreleasetimesonasinglemachine
AT pengliu noteontwoagentschedulingwithresourcedependentreleasetimesonasinglemachine
AT liniduan noteontwoagentschedulingwithresourcedependentreleasetimesonasinglemachine