Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

An evidential reasoning approach for production modeling with deteriorating and ameliorating items

Abstract

In real situations, it is often too restrictive and difficult for experts to give precise (crisp) assessments for parameters such as inflation. This would become more serious especially for some international exporters or other companies in some pendulous situations. To deal with these situations, this paper develops a dependence-based evidential reasoning approach. This study employs the effects of imperfect production process for deteriorating/ameliorating products, considering inspection in an inflationary inventory system with time dependent demand rate. Different from the previous studies, which considered inflation rate as constant and well-known, stochastic or fuzzy, this model involves inflation with uncertainty of belief structure type. A genetic algorithm is adopted, which deals with interval parameters, and a numerical example is provided to illustrate how the proposed algorithm will be performed and the results indicate that the performance of the proposed algorithm is superior to that of a heuristic approach.

This is a preview of subscription content, log in to check access.

Fig. 1
Fig. 2

References

  1. Beynon M, Curry B, Morgan P (2000) The Dempster–Shafer theory of evidence: an alternative approach to multicriteria decision modeling. Omega 28:37–50

  2. Cardenas-Baron LE (2009) Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput Ind Eng 57:1105–1113

  3. Chung KJ, Her CC, Lin SD (2009) A two-warehouse inventory model with imperfect quality production processes. Comput Ind Eng 56:193–197

  4. Dempster AP (1967) Upper and lower probabilities induced by a multi-valued mapping. Ann Math Stat 38:325–339

  5. Fattahi P (2009) Meta heuristic algorithms. Bu Ali Sina University, Hamedan

  6. Ghoreishi M, Mirzazadeh A, Weber GW (2013) Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization. doi:10.1080/02331934.2013.853059

  7. Gustafsson P, Lagerström R, Närman P, Simonsson M. THE ICS DEMPSTER-SHAFER HOW TO. http://paperzz.com/doc/1279380/the-ics-dempster-shafer-how-to—industrial-information-and

  8. Hsu WKK, Yu HF (2009) EOQ model for imperfective items under a one-time-only discount. Omega 37:1018–1026

  9. Jana DK, Das B, Roy TK (2013) A Partial backlogging inventory model for deteriorating item under fuzzy inflation and discounting over random planning horizon: a fuzzy genetic algorithm approach. Hindawi Publishing Corporation, Adv Oper Res, Article ID 973125

  10. Maity AK (2011) One machine multiple-product problem with production-inventory system under fuzzy inequality constraint. Appl Soft Comput 11:1549–1555

  11. Maity K, Maiti M (2008) A numerical approach to a multi-objective optimal inventory control problem for deteriorating multi-items under fuzzy inflation and discounting. Comput Math Appl 55(8):1794–1807

  12. Mirzazadeh A (2011) A comparison of the mathematical modeling methods in the inventory systems under uncertain conditions. Int J Eng Sci Technol (IJEST) 3:6131–6142

  13. Mirzazadeh A, Sarfaraz AR (1997) Constrained multiple items optimal order policy under stochastic inflationary conditions. In: Proceedings of 2nd annual international conference on industrial engineering application and practice. USA, San Diego, pp 725–730

  14. Mirzazadeh A, Seyyed Esfahani MM, Fatemi Ghomi SMT (2009) An inventory model under uncertain inflationary conditions, finite production rate and inflation-dependent demand rate for deteriorating items with shortages. Int J Syst Sci 40:21–31

  15. Mousavi SM, Akhavan Niaki SMT (2013) Capacitated location allocation problem with stochastic location and fuzzy demand: a hybrid algorithm. Appl Math Model 37:5109–5119

  16. Mousavi SM, Akhavan Niaki SMT, Mehdizadeh E, Tavarroth MR (2012) The capacitated multi-facility location–allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms. Int J Syst Sci. doi:10.1080/00207721.2012.670301

  17. Neetu AK, Tomer A (2012) A deteriorating inventory model under variable inflation when supplier credits linked to order quantity. Procedia Eng 38:1241–1263

  18. Nodoust S, Mirzazadeh A, Weber GW (2016) A genetic algorithm for an inventory system under belief structure inflationary conditions. Rairo Oper Res 50(4–5):1027–1040

  19. Roy A, Maiti MK, Kar S, Maiti M (2009) An inventory model for a deteriorating item with displayed stock dependent demand under fuzzy inflation and time discounting over a random planning horizon. Appl Math Model 33(2):744–759

  20. Salameh MK, Jaber MY (2000) Economic production quantity model for items with imperfect quality. Int J Prod Econ 64:59–64

  21. Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton

  22. Singh C, Singh SR (2012) Imperfect production process with exponential demand rate, Weibull deterioration under inflation. Int J Oper Res 12:430–445

  23. Taguchi G, Chowdhury S, Wu Y (2005) Taguchi’s quality engineering handbook. Wiley, New Jersey

  24. Taheri-Tolgari J, Mirzazadeh A, Jolai F (2012) An inventory model for imperfect items under inflationary conditions with considering inspection errors. Comput Math Appl 63:1007–1019

  25. Vahab MIM, Jaber MY (2009) Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: a note. Comput Ind Eng. doi:10.1016/j.cie.07.007

  26. Wang YM, Yang JB, Xu DL, Chin KS (2006) The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur J Oper Res 175:35–66

  27. Yager RR (1995) On the Dempster–Shafer framework and new combination rules. Inf Sci 41:317–323

  28. Yang JB, Wang YM, Xu DL, Chin KS (2006) The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties. Eur J Oper Res 171:309–343

  29. Zadeh LA (1975) The concepts of a linguistic variable and its application to approximate reasoning (I), (II), (III). Inf Sci 8: 199–249, and 301–357; 9, 43, 80

  30. Zadeh LA (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Set Syst 1(1):3–28

Download references

Author information

Correspondence to S. Nodoust.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Nodoust, S., Mirzazadeh, A. & Weber, G. An evidential reasoning approach for production modeling with deteriorating and ameliorating items. Oper Res Int J 20, 1–19 (2020). https://doi.org/10.1007/s12351-017-0313-x

Download citation

Keywords

  • Inventory
  • Evidential reasoning (ER)
  • Belief structure
  • Inspection
  • Deterioration/amelioration
  • Inflation
  • Genetic algorithm