Skip to main content
Log in

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

  • Review
  • Published:
Operational Research Aims and scope Submit manuscript

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 via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

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

    Article  Google Scholar 

  • 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

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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

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

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Nodoust.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nodoust, S., Mirzazadeh, A. & Weber, GW. 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

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12351-017-0313-x

Keywords

Navigation