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Erschienen in: Journal of Combinatorial Optimization 2/2017

25.01.2016

Two-agent scheduling of time-dependent jobs

verfasst von: Cheng He, Joseph Y.-T. Leung

Erschienen in: Journal of Combinatorial Optimization | Ausgabe 2/2017

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Abstract

We consider the problem of scheduling deteriorating jobs or shortening jobs with two agents A and B. We are interested in generating all Pareto-optimal schedules for the two criteria: (1) the total completion time of the jobs in A and the maximum cost of the jobs in B, and (2) the maximum cost of the jobs in A and the maximum cost of the jobs in B. We show that all Pareto-optimal schedules for both problems can be generated in polynomial time, whether the jobs are deteriorating or shortening.

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Literatur
Zurück zum Zitat Agnetis A, Mirchani PB, Pacciarelli D, Pacifici A (2004) Scheduling problems with two competing agents. Oper Res 52:229–242MathSciNetCrossRefMATH Agnetis A, Mirchani PB, Pacciarelli D, Pacifici A (2004) Scheduling problems with two competing agents. Oper Res 52:229–242MathSciNetCrossRefMATH
Zurück zum Zitat Agnetis A, Billaut JC, Gawiejnowicz S, Pacciarelli D, Soukhal A (2014) Multiagent scheduling: models and algorithms. Springer, BerlinCrossRefMATH Agnetis A, Billaut JC, Gawiejnowicz S, Pacciarelli D, Soukhal A (2014) Multiagent scheduling: models and algorithms. Springer, BerlinCrossRefMATH
Zurück zum Zitat Alidaee B, Womer NK (1999) Scheduling with time dependent processing times: review and extensions. J Oper Res Soc 50:711–720CrossRefMATH Alidaee B, Womer NK (1999) Scheduling with time dependent processing times: review and extensions. J Oper Res Soc 50:711–720CrossRefMATH
Zurück zum Zitat Browne S, Yechiali U (1990) Scheduling deteriorating jobs on a single processor. Oper Res 38:495–498CrossRefMATH Browne S, Yechiali U (1990) Scheduling deteriorating jobs on a single processor. Oper Res 38:495–498CrossRefMATH
Zurück zum Zitat Cheng TCE, Ding Q, Lin BMT (2004) A concise survey of scheduling with time-dependent processing times. Eur J Oper Res 152:1–13MathSciNetCrossRefMATH Cheng TCE, Ding Q, Lin BMT (2004) A concise survey of scheduling with time-dependent processing times. Eur J Oper Res 152:1–13MathSciNetCrossRefMATH
Zurück zum Zitat Cheng TCE, Ng CT, Yuan JJ (2006) Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs. Theor Comput Sci 362:273–281MathSciNetCrossRefMATH Cheng TCE, Ng CT, Yuan JJ (2006) Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs. Theor Comput Sci 362:273–281MathSciNetCrossRefMATH
Zurück zum Zitat Cheng TCE, Ng CT, Yuan JJ (2008) Multi-agent scheduling on a single machine with max-form criteria. Eur J Oper Res 188:603–609MathSciNetCrossRefMATH Cheng TCE, Ng CT, Yuan JJ (2008) Multi-agent scheduling on a single machine with max-form criteria. Eur J Oper Res 188:603–609MathSciNetCrossRefMATH
Zurück zum Zitat Graham RL, Lawler EL, Lenstra JK, Rinnooy Kan AHG (1979) Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann Discrete Math 5:287–326MathSciNetCrossRefMATH Graham RL, Lawler EL, Lenstra JK, Rinnooy Kan AHG (1979) Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann Discrete Math 5:287–326MathSciNetCrossRefMATH
Zurück zum Zitat Gupta JND, Gupta SK (1988) Single facility scheduling with nonlinear processing times. Comput Ind Eng 14:387–393MathSciNetCrossRef Gupta JND, Gupta SK (1988) Single facility scheduling with nonlinear processing times. Comput Ind Eng 14:387–393MathSciNetCrossRef
Zurück zum Zitat Ho KIJ, Leung JY-T, Wei W-D (1993) Complexity of scheduling tasks with time-dependent execution times. Inf Process Lett 48:315–320MathSciNetCrossRefMATH Ho KIJ, Leung JY-T, Wei W-D (1993) Complexity of scheduling tasks with time-dependent execution times. Inf Process Lett 48:315–320MathSciNetCrossRefMATH
Zurück zum Zitat Liu P, Tang L (2008) Two-agent scheduling with linear deteriorating jobs on single-machine. Lect Notes Comput Sci 5029:642–650MathSciNetCrossRefMATH Liu P, Tang L (2008) Two-agent scheduling with linear deteriorating jobs on single-machine. Lect Notes Comput Sci 5029:642–650MathSciNetCrossRefMATH
Zurück zum Zitat Liu P, Yi N, Zhou XY (2011) Two-agent single-machine scheduling problems under increasing linear deterioration. Appl Math Model 35:2290–2296MathSciNetCrossRefMATH Liu P, Yi N, Zhou XY (2011) Two-agent single-machine scheduling problems under increasing linear deterioration. Appl Math Model 35:2290–2296MathSciNetCrossRefMATH
Zurück zum Zitat Ng CT, Cheng TCE, Bachman A, Janiak A (2002) Three scheduling problems with deteriorating jobs to minimize the total completion time. Inf Process Lett 81:327–333MathSciNetCrossRefMATH Ng CT, Cheng TCE, Bachman A, Janiak A (2002) Three scheduling problems with deteriorating jobs to minimize the total completion time. Inf Process Lett 81:327–333MathSciNetCrossRefMATH
Zurück zum Zitat Ng CT, Cheng TCE, Yuan JJ (2006) A note on the complexity of the problem of two-agent scheduling on a single machine. J Comb Optim 12:387–394MathSciNetCrossRefMATH Ng CT, Cheng TCE, Yuan JJ (2006) A note on the complexity of the problem of two-agent scheduling on a single machine. J Comb Optim 12:387–394MathSciNetCrossRefMATH
Zurück zum Zitat Wan G, Vakati SR, Leung JY-T, Pinedo M (2010) Scheduling two agents with controllable processing times. Eur J Oper Res 205:528–539MathSciNetCrossRefMATH Wan G, Vakati SR, Leung JY-T, Pinedo M (2010) Scheduling two agents with controllable processing times. Eur J Oper Res 205:528–539MathSciNetCrossRefMATH
Zurück zum Zitat Wang JB (2010) A note on single-machine scheduling with decreasing time-dependent job processing times. Appl Math Model 34:294–300MathSciNetCrossRefMATH Wang JB (2010) A note on single-machine scheduling with decreasing time-dependent job processing times. Appl Math Model 34:294–300MathSciNetCrossRefMATH
Zurück zum Zitat Yin YQ, Cheng SR, Wu CC (2012) Scheduling problems with two agents and a linear non-increasing deterioration to minimize earliness penalties. Inf Sci 189:282–292MathSciNetCrossRefMATH Yin YQ, Cheng SR, Wu CC (2012) Scheduling problems with two agents and a linear non-increasing deterioration to minimize earliness penalties. Inf Sci 189:282–292MathSciNetCrossRefMATH
Zurück zum Zitat Zhao CL, Zhang QL, Tang HY (2003) Scheduling problems under linear deterioration. Acta Autom Sin 29:531–535MathSciNet Zhao CL, Zhang QL, Tang HY (2003) Scheduling problems under linear deterioration. Acta Autom Sin 29:531–535MathSciNet
Metadaten
Titel
Two-agent scheduling of time-dependent jobs
verfasst von
Cheng He
Joseph Y.-T. Leung
Publikationsdatum
25.01.2016
Verlag
Springer US
Erschienen in
Journal of Combinatorial Optimization / Ausgabe 2/2017
Print ISSN: 1382-6905
Elektronische ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-016-9994-y

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