Economic lot sizing for unreliable production system with shortages

International Journal of Mathematics in Operational Research

Volumn 7, Issue 4, 2015, Pages 464-483

  Singh, Neetu ^a   Jain, Madhu ^b   Arora, Nisha ^c  

^a World College of Technology amp Management   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^c GD GOENKA UNIVERSITY   (India)

Author keywords

Adaptive network based fuzzy inference system; ANFIS; Inventory; Lot sizing; Preventive maintenance; Shortage; Unreliable machine

Indexed keywords

EID: 84944676412     PISSN: 17575850     EISSN: 17575869     Source Type: Journal    
DOI: 10.1504/IJMOR.2015.070198     Document Type: Article

References (33)

1. Bahramifar, A., Shirkhani, R. and Mohammadi, M. (2013) 'An ANFIS-based approach for predicting the manning roughness coefficient in alluvial channels at the bank-full stage', IJE Transactions B: Applications, Vol. 26, No. 2, pp.177-186.
2. Ben-Daya, M. (2002) 'The economic production lot-sizing problem with imperfect production processes and imperfect maintenance', International Journal of Production Economics, Vol. 76, No. 3, pp.257-264.
3. Chakraborty, T., Chauhan, S.C. and Giri, B.C. (2013) 'Joint effect of stock threshold level and production policy on an unreliable production environment', Applied Mathematical Modelling, Vol. 37, Nos. 10-11, pp.6593-6608.
4. Chakraborty, T., Giri, B.C. and Chaudhuri, K.S. (2009) 'Production lot sizing with process deterioration and machine breakdown under inspection schedule', Omega, Vol. 37, No. 2, pp.257-271.
5. Chiu, S.W. (2010) 'Robust planning in optimization for production system subject to random machine breakdown and failure in rework', Computers & Operations Research, Vol. 37, No. 5, pp.899-908.
6. Chiu, Y-S.P., Chen, K-K., Cheng, F-T. and Wu, M-F. (2010), 'Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown', Computers and Mathematics with Applications, Vol. 59, No. 2, pp.919-932.
7. Chung, K.J. and Hou, K.L. (2003) 'An optimal production run time with imperfect production processes and allowable shortages', Computers & Operations Research, Vol. 30, No. 4, pp.483-490.
8. Ciaramella, A., Tagliaferri, R., Pedrycz, W. and Nola, A. D. (2006) 'Fuzzy relational neural network', International Journal of Approximate Reasoning, Vol. 41, No. 2, pp.146-163.
9. Dagpunar, J.S. (1997) 'The effect of minimal repairs on economic lot-sizing', Microelectronics Reliability, Vol. 37, No. 3, pp.417-419.
10. Darvish, M.A. and Ben-Daya, M. (2007) 'Effect of inspection errors and preventive maintenance on a two stage production inventory system', International Journal of Production Economics, Vol. 107, No. 1, pp.301-313.
11. Dye, C.Y. and Chang, H.J. (2003) 'A replenishment policy for deteriorating items with linear trend demand and shortages when payment periods are offered', International Journal of Information and Management Sciences, Vol., 14, No. 2, pp.31-45.
12. Ghosh, S.K., Khanra, S. and Chaudhuri, K.S. (2011) 'An EOQ model for a deteriorating item with time-varying demand and time-dependent partial backlogging', International Journal of Mathematics in Operational Research, Vol. 3, No. 3, pp.264-279.
13. Gill, S.S. and Singh, J. (2010) 'An adaptive neuro-fuzzy inference system modeling for material removal rate in stationary ultrasonic drilling of sillimanite ceramic', Expert Systems with Applications, Vol. 37, No. 8, pp.5590-5598.
14. Giri, B.C. and Yun, W. Y. (2005) 'Optimal lot sizing for an unreliable production system under partial backlogging and at most two failures in a production cycle', International Journal of Production Economics, Vol. 95, No. 2, pp.229-243.
15. Groenvelt, H., Pintelon, L. and Seidmann, A. (1992a) 'Production batching with machine breakdowns and safety stocks', Operations Research, Vol. 40, No. 5, pp.959-971.
16. Groenvelt, H., Pintelon, L. and Seidmann, A. (1992b) 'Production lot sizing with machine breakdowns', Management Science, Vol. 38, No. 1, pp.104-123.
17. Gupta, P.N. and Arora, N. (2010) 'A production inventory model for deteriorating items with alternating replenishment rates and backlogging of demand', Journal of Indian Society of Statistics and Operations Research, Vol. 31, Nos. 1-4, pp.27-42.
18. Gupta, P.N. and Arora, N. (2011) 'An EOQ model with power demand, Weibull distribution deterioration and partial backlogging', Journal of Indian Academy of Mathematics, Vol. 33, No. 1, pp.175-183.
19. Hadidi, L.A., Al-Turki, U.M. and Rahim, M.A. (2011) 'An integrated cost model for production scheduling and perfect maintenance', International Journal of Mathematics in Operational Research, Vol. 3, No. 4, pp.395-413.
20. Hajeeh, M.A. (2012) 'Availability of a system with different repair options', International Journal of Mathematics in Operational Research, Vol. 4, No. 1, pp.41-55.
21. Jang, J.S.R. (1993) 'Adaptive network-based fuzzy inference systems', IEEE Transactions on Systems, Man and Cybernatics, Vol. 23, No. 3, pp.665-685.
22. Jang, J.S.R. and Sun, C.T. (1995) 'Neuro fuzzy modeling and control', Proceedings of the IEEE, Vol. 83, No. 3, pp.378-406.
23. Mishra, V.K., Singh, L.S. and Kumar, R. (2013) 'An inventory model for deteriorating items with time dependent demand and time varying holding cost under partial backlogging', Journal of Industrial Engineering International, Vol. 9, No. 4, pp.1-5.
24. Nelson, O.L.N. and Tham, C.K. (2000) 'Connection admission control of ATM network using integrated MLP and fuzzy controllers', Computer Networks, Vol. 32, No. 1, pp.61-79.
25. Park, I., Choi, J., Lee, M.J. and Lee, S. (2012) 'Application of an adaptive neuro-fuzzy inference system to ground subsidence hazard mapping', Computers & Geosciences, Vol. 48, pp.228-238.
26. Rafiee, K., Rabbani, M., Rafiei, H. and Rahimi-Vahed, A. (2011) 'A new approach towards integrated cell formation and inventory lot sizing in an unreliable cellular manufacturing system' Applied Mathematical Modelling, Vol. 35, No. 4, pp.1810-1819.
27. Roy, A., Kar, S. and Maiti, M. (2010) 'A volume flexible production-policy for randomly deteriorating item with trended demand and shortages', International Journal of Production Economics, Vol. 128, No. 1, pp.188-199.
28. Sarkar, B., Sana, S.S. and Chaudhuri, K. (2010), 'Optimal reliability, production lot size and safety stock in an imperfect production system', International Journal of Mathematics in Operational Research, Vol. 2, No. 4, pp.467-490.
29. Sarkar, T., Ghosh, S.K. and Chaudhuri, K.S. (2012) 'An optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles', Applied Mathematics and Computation, Vol. 218, No. 18, pp.9147-9155.
30. Sharma, V. and Chaudhary, R.R. (2013) 'An inventory model for deteriorating items with Weibull deterioration with time dependent demand and shortages', Research Journal of Management Sciences, Vol. 2, No. 3, pp.28-30.
31. Tozan, H. and Vayvay, O. (2009) 'A hybrid fuzzy time series and ANFIS approach to demand variability in supply chain networks', Journal of Naval Science and Engineering, Vol. 5, No. 2, pp.20-34.
32. Wang, C.H. (2004) 'The impact of a free-repair warranty on EMQ model for imperfect production systems', Computers & Operations Research, Vol. 31, No. 12, pp.2021-2035.
33. Zhou, Y. and Dexter, A. (2013) 'Off-line identification of nonlinear, dynamic systems using a neuro-fuzzy modelling technique', Fuzzy Sets and Systems, Vol. 225, pp.74-92.