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Mathematical Biosciences and Engineering

2021, Volume 18, Issue 3: 2562-2578. doi: 10.3934/mbe.2021130
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Research article

Single machine resource allocation scheduling problems with deterioration effect and general positional effect

  • 1.
    Management School, Hangzhou Dianzi University, China
  • 2.
    School of Business, University of North Carolina at Pembroke, USA
  • Received: 02 November 2020 Accepted: 08 March 2021 Published: 16 March 2021

  • This paper investigates single machine scheduling problems where the actual processing time of a job is dependent on its starting time, processing position and the amount of resource allocation. We present two unified models and provide a bicriteria analysis for the general scheduling criteria and the total weighted resource consumption. We consider two different versions for treating the two criteria and show that the unified models can be applied to solve scheduling problems under various due window assignment considerations. We prove that two different versions of the problems can be solved in polynomial time, respectively.

    Citation: Chunlai Liu, Chuanhui Xiong. Single machine resource allocation scheduling problems with deterioration effect and general positional effect[J]. Mathematical Biosciences and Engineering, 2021, 18(3): 2562-2578. doi: 10.3934/mbe.2021130

    Related Papers:

  • This paper investigates single machine scheduling problems where the actual processing time of a job is dependent on its starting time, processing position and the amount of resource allocation. We present two unified models and provide a bicriteria analysis for the general scheduling criteria and the total weighted resource consumption. We consider two different versions for treating the two criteria and show that the unified models can be applied to solve scheduling problems under various due window assignment considerations. We prove that two different versions of the problems can be solved in polynomial time, respectively.


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  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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