Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs

This paper investigates a single-machine two-agent scheduling problem to minimize the maximum costs with position-dependent jobs. There are two agents, each with a set of independent jobs, competing to perform their jobs on a common machine. In our scheduling setting, the actual position-dependent p...

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Main Author: Long Wan
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/932680
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author Long Wan
author_facet Long Wan
author_sort Long Wan
collection DOAJ
description This paper investigates a single-machine two-agent scheduling problem to minimize the maximum costs with position-dependent jobs. There are two agents, each with a set of independent jobs, competing to perform their jobs on a common machine. In our scheduling setting, the actual position-dependent processing time of one job is characterized by variable function dependent on the position of the job in the sequence. Each agent wants to fulfil the objective of minimizing the maximum cost of its own jobs. We develop a feasible method to achieve all the Pareto optimal points in polynomial time.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-11504535136a40b4b03ee9c15bf1f04e2025-02-03T06:01:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/932680932680Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent JobsLong Wan0School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaThis paper investigates a single-machine two-agent scheduling problem to minimize the maximum costs with position-dependent jobs. There are two agents, each with a set of independent jobs, competing to perform their jobs on a common machine. In our scheduling setting, the actual position-dependent processing time of one job is characterized by variable function dependent on the position of the job in the sequence. Each agent wants to fulfil the objective of minimizing the maximum cost of its own jobs. We develop a feasible method to achieve all the Pareto optimal points in polynomial time.http://dx.doi.org/10.1155/2015/932680
spellingShingle Long Wan
Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
Discrete Dynamics in Nature and Society
title Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
title_full Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
title_fullStr Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
title_full_unstemmed Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
title_short Two-Agent Scheduling to Minimize the Maximum Cost with Position-Dependent Jobs
title_sort two agent scheduling to minimize the maximum cost with position dependent jobs
url http://dx.doi.org/10.1155/2015/932680
work_keys_str_mv AT longwan twoagentschedulingtominimizethemaximumcostwithpositiondependentjobs