Abstract




 
   

IJE TRANSACTIONS C: Aspects Vol. 31, No. 3 (March 2018) 432-439    Article in Press

PDF URL: http://www.ije.ir/Vol31/No3/C/5-2715.pdf  
downloaded Downloaded: 26   viewed Viewed: 371

  BI-LEVEL MODEL FOR RELIABILITY BASED MAINTENANCE AND JOB SCHEDULING
 
R. Jamshidi
 
( Received: July 21, 2017 – Accepted in Revised Form: October 12, 2017 )
 
 

Abstract    Many defects in manufacturing system are caused by human resources that show the significance of the human resources in manufacturing systems. Most manufacturers attempt to investigate the human resources in order to improve the work conditions and reduce the human error by providing a proper work-rest schedule. On the other hand, manufacturer deal with machine scheduling based on demand and work type. The mentioned scheduling would be effective if both are simultaneously implemented; then, we confront integrated human- machine systems which work with minimum cost, machine failure and human errors. Considering this fact, we propose a bi-level mixed integer nonlinear model to minimize the machine scheduling costs such as earliness-tardiness cost and interruption cost in the upper level and human error in lower level according to performance shaping factors (PSFs). Several numerical instances are implemented by the proposed model to show the model effectiveness to obtain the best work schedule for human resources and machines in manufacturing systems.

 

Keywords    Scheduling, Human error, Bi-level, Optimization

 

چکیده    بسیاری از نقص ها در کارخانجات ناشی از عملکرد عامل انسانی است که این امر اهمیت نقش نیروی انسانی در این محیط ها را نشان می دهد. بیشتر تولیدکنندگان سعی دارند به منظور توجه بیشتر به عامل انسانی و کاهش خطاهای انسانی یک برنامه کار و استراحت بهینه را ارائه نمایند. از سوی مقابل تولیدکنندگان با ماشین ها نیز مواجه اند و باید برنامه کاری آن ها را بر اساس میزان تقاضا و نوع کار تنظیم نمایند. چنین برنامه هایی زمانی موثر است که انسان و ماشین در ارتباط یا یکدیگر بررسی شوند و یک سیستم انسان- ماشین مورد توجه قرار گیرد. در این مقاله یک مدل دو سطحی بدین منظور ارائه شده است.. این مدل ریاضی غیر خطی سعی دارد تا هزینه های برنامه ریزی ماشین ها از قبیل زودکرد و دیرکرد، توقف را در سطح بالایی خود بهینه نماید و در سطح پایین خود خطای انسانی را بر اساس فاکتورهای شکل دهی عملکرد کمینه نماید. تعدادی مثال با استفاده از این مدل مورد بررسی قرار گرفته است که نتایج بدست آمده حاکی از موفقیت مدل در ارائه جواب های موثر و کارآمد می باشد.

References   

1.      Alsyouf, I., "The role of maintenance in improving companies’ productivity and profitability", International Journal of Production Economics,  Vol. 105, No. 1, (2007), 70-78.

2.      Alsyouf, I., "Maintenance practices in swedish industries: Survey results", International Journal of Production Economics,  Vol. 121, No. 1, (2009), 212-223.

3.      Pinjala, S.K., Pintelon, L. and Vereecke, A., "An empirical investigation on the relationship between business and maintenance strategies", International Journal of Production Economics,  Vol. 104, No. 1, (2006), 214-229.

4.      Wang, X. and Cheng, T.C.E., "A heuristic for scheduling jobs on two identical parallel machines with a machine availability constraint", International Journal of Production Economics,  Vol. 161, (2015), 74-82.

5.      Costa, A., Cappadonna, F.A. and Fichera, S., "Minimizing the total completion time on a parallel machine system with tool changes", Computers & Industrial Engineering,  Vol. 91, (2016), 290-301.

6.      Gedik, R., Rainwater, C., Nachtmann, H. and Pohl, E.A., "Analysis of a parallel machine scheduling problem with sequence dependent setup times and job availability intervals", European Journal of Operational Research,  Vol. 251, No. 2, (2016), 640-650.

7.      Sheen, G.-J., Liao, L.-W. and Lin, C.-F., "Optimal parallel machines scheduling with machine availability and eligibility constraints", The International Journal of Advanced Manufacturing Technology,  Vol. 36, No. 1, (2008), 132-139.

8.      Lee, J.-Y. and Kim, Y.-D., "A branch and bound algorithm to minimize total tardiness of jobs in a two identical-parallel-machine scheduling problem with a machine availability constraint", Journal of the Operational Research Society,  Vol. 66, No. 9, (2015), 1542-1554.

9.      Mishra, A. and Jain, M., "  Maintainability policy for deteriorating system with inspection and common cause failure (technical note) ", International Journal of EngineeringTransactions C: Aspects,  Vol. 26, No. 6, (2013), 631-640

10.    Mokhtari, H., Noroozi , A. and Molla-Alizadeh-Zavardehi, S., "  A reliability based modelling and optimization of an integrated production and preventive maintenance activities in flowshop scheduling problem ", International Journal of EngineeringTransactions C: Aspects,  Vol. 28, No. 12, (2015), 1774-1781 

11.    Feng, Q., Li, S.-s. and Shang, W.-p., "Two-agent single machine scheduling with forbidden intervals", Applied Mathematics-A Journal of Chinese Universities,  Vol. 30, No. 1, (2015), 93-101.

12.    Li, W.-X. and Zhao, C.-L., "Deteriorating jobs scheduling on a single machine with release dates, rejection and a fixed non-availability interval", Journal of Applied Mathematics and Computing,  Vol. 48, No. 1, (2015), 585-605.

13.    Shen, L. and Gupta, J.N.D., "Family scheduling with batch availability in flow shops to minimize makespan", Journal of Scheduling,  (2017). https://doi.org/10.1007/s10951-017-0529-x

14.    Afzalirad, M. and Shafipour, M., "Design of an efficient genetic algorithm for resource-constrained unrelated parallel machine scheduling problem with machine eligibility restrictions", Journal of Intelligent Manufacturing,  (2015), 1-15.

15.    Jamshidi, R. and Seyyed Esfahani, M.M., "Human resources scheduling to improve the product quality according to exhaustion limit", TOP,  Vol. 22, No. 3, (2014), 1028-1041.

16.    Qiong, Z., Yichao, G., Gong, Z., Jie, Z. and Xuefang, C., An ant colony optimization model for parallel machine scheduling with human resource constraints, in Proceedings of the 6th cirp-sponsored international conference on digital enterprise technology, G.Q. Huang, K.L. Mak, and P.G. Maropoulos, Editors. 2010, Springer Berlin Heidelberg: Berlin, Heidelberg.917-926.

17.    Bouzidi-Hassini, S., Benbouzid-Si Tayeb, F., Marmier, F. and Rabahi, M., "Considering human resource constraints for real joint production and maintenance schedules", Computers & Industrial Engineering,  Vol. 90, (2015), 197-211.

18.    Zhu, Z., Chu, F., Sun, L. and Liu, M., "Single machine scheduling with resource allocation and learning effect considering the rate-modifying activity", Applied Mathematical Modelling,  Vol. 37, No. 7, (2013), 5371-5380.

19.    Pacaux-Lemoine, M.-P., Trentesaux, D., Zambrano Rey, G. and Millot, P., "Designing intelligent manufacturing systems through human-machine cooperation principles: A human-centered approach", Computers & Industrial Engineering.

20.    Böllhoff, J., Metternich, J., Frick, N. and Kruczek, M., "Evaluation of the human error probability in cellular manufacturing", Procedia CIRP,  Vol. 55, (2016), 218-223.

21.    Li, X., Komeili, A., Gül, M. and El-Rich, M., "A framework for evaluating muscle activity during repetitive manual material handling in construction manufacturing", Automation in Construction,  Vol. 79, (2017), 39-48.

22.    Jamshidi, R. and Maadi, M., "Maintenance and work-rest scheduling in human-machine system according to fatigue and reliability",International Journal of EngineeringTransactions A: Basics,  Vol. 30, No. 1, (2017), 85-92.

23.    Jaber, M.Y., Givi, Z.S. and Neumann, W.P., "Incorporating human fatigue and recovery into the learning–forgetting process", Applied Mathematical Modelling,  Vol. 37, No. 12, (2013), 7287-7299.

24.    Kim, T.J. and Suh, S., "Toward developing a national transportation planning model: A bilevel programming approach for korea", The Annals of Regional Science,  Vol. 22, No. 1, (1988), 65-80.

25.    Colson, B., Marcotte, P. and Savard, G., "Bilevel programming: A survey", 4OR,  Vol. 3, No. 2, (2005), 87-107.

26.    Sun, H., Gao, Z. and Wu, J., "A bi-level programming model and solution algorithm for the location of logistics distribution centers", Applied Mathematical Modelling,  Vol. 32, No. 4, (2008), 610-616.

27.    Yaakob, S.B. and Watada, J., Solving bilevel quadratic programming problems and its application, in Knowledge-based and intelligent information and engineering systems: 15th international conference, kes 2011, kaiserslautern, germany, september 12-14, 2011, proceedings, part iii, A. König, et al., Editors. 2011, Springer Berlin Heidelberg: Berlin, Heidelberg.187-196.

28.    Wu, D.D. and Olson, D.L., Bilevel programming merger analysis in banking, in Enterprise risk management in finance. 2015, Palgrave Macmillan UK: London.145-162.

29.    Cuschieri, A. and Tang, B., "Human reliability analysis (hra) techniques and observational clinical hra", Minim Invasive Ther Allied Technol,  Vol. 19, No. 1, (2010), 12-17.

30.    Boring R.L. and Blackman, H.S., "The origins of the spar-h method’s performance shaping factor multipliers", in Human Factors and Power Plants and HPRCT, 13th Annual Meeting, Sage Publications., (2007 of Conference), 177-184.

31.    Swain, A.D., "Field calibrated simulation, proceeding of the symposium on human performance quantification in system effectiveness", National Academy Command and the National Academy of Engineering,  (1967), IV-1–IV-A-21.

32.    Embrey, D.E., " Slim-maud: The assessment of human error probabilities using an interactive computer-based approach.",  (1984). Technical Press, Aldershot, UK

33.    Miller, D.P. and Swain, A.D., "Human error & human reliability. ", In: G. Solvandy (Ed.), Handbook of Human Factor, Prude University, Wiley-Interscience, New York.,  (1987).

34.    Williams, J.C., " Heart-a proposed method for assessing and reducing human error, " in Procedure of the 9th Advances in Reliability Technology Symposium, , University of Bradford. (1986).

35.    Cacciabue, P.C., "Modelling and simulation of human behaviour for safety analysis and control of complex systems", Safety Science,  Vol. 28, No. 2, (1998), 97-110.

36.    Leva, M.C., De Ambroggi, M., Grippa, D., Garis, R.D., Trucco, P. and Sträter, O., "Quantitative analysis of atm safety issues using retrospective accident data: The dynamic risk modelling project", Safety Science,  Vol. 47, No. 2, (2009), 250-264.

37.    Boring, R.L., "How many performance shaping factors are necessary for human reliability analysis", in the 10th International Probabilistic Safety Assessment & Management Conference (PSAM10), Seattle, US. (2010).


Download PDF 



International Journal of Engineering
E-mail: office@ije.ir
Web Site: http://www.ije.ir