DOI QR코드

DOI QR Code

Problem space based search algorithm for manufacturing process with rework probabilities affecting product quality and tardiness

Rework 확률이 제품의 품질과 납기준수에 영향을 주는 공정을 위한 문제공간기반 탐색 알고리즘

  • Kang, Yong-Ha (Dept. of Industrial and Systems Engineering, North Carolina State University) ;
  • Lee, Young-Sup (Dept. of management Engineering, Sangmyung University) ;
  • Shin, Hyun-Joon (Dept. of management Engineering, Sangmyung University)
  • 강용하 (노스캐롤라이나 주립대학교 산업공학과) ;
  • 이영섭 (상명대학교 경영공학과) ;
  • 신현준 (상명대학교 경영공학과)
  • Published : 2009.07.31

Abstract

In this paper, we propose a problem space based search(PSBS) algorithm to solve parallel machine scheduling problem considering rework probabilities. For each pair of a machine and a job type, rework probability of each job on a machine can be known through historical data acquisition. Neighborhoods are generated by perturbing four problem data vectors (processing times, due dates, setup times, and rework probabilities) and evaluated through the efficient dispatching heuristic (EDDR). The proposed algorithm is measured by maximum lateness and the number of reworked jobs. We show that the PSBS algorithm is considerably improved from the result obtained by EDDR.

본 논문은 rework 발생확률을 고려하는 병렬기계 스케줄링 문제를 위해 문제공간기반 탐색 알고리즘을 제안한다. 각 기계와 작업유형별로 rework 발생확률이 존재하며 이것은 자동화된 공정에서 과거데이터로부터 산출가능하다. 스케줄링 문제의 데이터 벡터 (가공시간, 납기, 셋업시간, rework확률)를 교란시킴으로써 이웃해를 생성하고 이로부터 도출된 해는 EDDR이라는 효과적인 휴리스틱을 이용하여 평가한다. 제안된 알고리즘은 납기지연의 최대값과 rewok 발생 작업수로 평가함으로써 제품의 품질과 납기수준을 동시에 고려할 수 있도록 한다.

Keywords

References

  1. 김여근, 윤복식, 이상복, [메타휴리스틱], 영진출판사, 1997.
  2. Avic, S., M.S. Akturk and R.H. Storer, "A problem space algorithm for single machine weighted tardiness problems", IIE Transactions, Vol.35, pp.479-486, 2003. https://doi.org/10.1080/07408170304390
  3. Demirkov, E. and R. Uzsoy, "Decomposition methods for reentrant flow shops with sequence-dependent setup times", Journal of Scheduling, Vol.3, pp.155-177, 2000. https://doi.org/10.1002/(SICI)1099-1425(200005/06)3:3<155::AID-JOS39>3.0.CO;2-E
  4. Flapper, S.D.P., J.C. Fransoo, R.A.C.M. Broekmeulen and K. Inderfurth, "Planning and control of rework in the process industries : review", Production Planning & Control, Vol.13, No.1, pp.26-34, 2002. https://doi.org/10.1080/09537280110061548
  5. Kim, S.C. and P.M. Bobrowski, "Impact on sequence-dependent setup time on job shop scheduling performance", International Journal of Production Research, Vol.32, No.7, pp.1503-1520, 1994. https://doi.org/10.1080/00207549408957019
  6. Kuhl, M.E. and G.R. Laubisch, "A simulation study of dispatching rules and rework strategies in semiconductor manufacturing", IEEE/SEMI Advanced Semiconductor Manufacturing Conference, 2004. https://doi.org/10.1109/ASMC.2004.1309590
  7. Leon,V.J. and B. Ramamoorthy, "strength and adaptability of problem space based neighborhoods for resource-constrained scheduling", Operations Research Spektrum, Vol.17, No.2, pp.173-182, 1995. https://doi.org/10.1007/BF01719262
  8. Leon, V.J. and B. Ramamoorthy, "An adaptable problem-space based search method for flexible flow line scheduling", IIE Transactions, Vol.29, pp.115-125, 1997.
  9. Sha, D.Y., S.Y. Hsu, Z.H. Che and C.H. Chen, "A dispatching rule for photolithography scheduling with an online rework strategy.", Computers & Industrial Engineering, Vol.50, pp.233-247, 2006. https://doi.org/10.1016/j.cie.2006.04.002
  10. Storer, R.H., S.D. Wu and R. Vaccari, "New search spaces for sequencing problems with application to job shop scheduling", Management Science, Vol.38, No.10, pp.1495-1509, 1992. https://doi.org/10.1287/mnsc.38.10.1495
  11. Turkcan, A. and M.S. Akturk, "A problem space algorithm in multi-objective optimization", Journal of Intelligent Manufacturing, Vol.14, pp.363-378. https://doi.org/10.1023/A:1024605927329
  12. Uzsoy, R., C.Y. Lee and L.A. Martin-Vega, "A review of product planning and scheduling models in the semiconductor industry Part I : Systems characteristics, performance evaluation and production planning", IIE Transaction on Scheduling and Logistics, Vol.24, No.4, pp.47-61, 1992.
  13. Uzsoy, R., C.Y. Lee and L.A. Martin-Vega, "A review of product planning and scheduling models in the semiconductor industry Part II : Shop-floor control", IIE Transaction on Scheduling and Logistics, Vol.26, No.5, pp.44-55, 1994.