OVERVIEW OF SCHEDULING PROBLEMS WITH LEARNING EFFECT, DETERIORATING EFFECT, MAINTENANCE ACTIVITY AND NON- MONOTONIC TIME-DEPENDENT PROCESSING TIMES

  • KAZEEM OLANREWAJU SANNI DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA
  • MUMINU O. ADAMU DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA
  • VICTOR ODUMUYIWA DEPARTMENT OF COMPUTER SCIENCE, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA
Keywords: Deteriorating effect, flowshop, learning effect, machine learning, parallel machine

Abstract

In recent times many research has been focused on assumption that processing times of a job is unfixed. In practice, thus the processing time of
a job processing time of a job may changes due to some factors. We investigated factors that affect the varying processing time of a job under different machine environments. We were able to identify four factors that may influence processing time of a job, these include learning effect, deteriorating effect,
maintenance activity and non-monotonic time-dependent processing time. In this paper, we discussed machine environments and their assumption and some features of jobs processing times. We also gave a concise overview on the literature on scheduling with learning effect, deteriorating effect, maintenance activity and non-monotonous time dependent processing times. The emphasis was on single machine, parallel machine and flowshop machine while few work are done on open shop and job shop machines. We discovered that these factors are never been considered simultaneously. Dynamic programming and machine learning approach methods are not been used while hybrid meta-heuristics methods are scarcely used in all the machine environments under these constraints.

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Published
2021-09-09
How to Cite
SANNI, K. O., ADAMU, M. O., & ODUMUYIWA , V. (2021). OVERVIEW OF SCHEDULING PROBLEMS WITH LEARNING EFFECT, DETERIORATING EFFECT, MAINTENANCE ACTIVITY AND NON- MONOTONIC TIME-DEPENDENT PROCESSING TIMES. Unilag Journal of Mathematics and Applications, 1(1), 82-103. Retrieved from http://lagjma.unilag.edu.ng/article/view/1310
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