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.
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
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
Chung KJ, Her CC, Lin SD (2009) A two-warehouse inventory model with imperfect quality production processes. Comput Ind Eng 56:193–197
Dempster AP (1967) Upper and lower probabilities induced by a multi-valued mapping. Ann Math Stat 38:325–339
Fattahi P (2009) Meta heuristic algorithms. Bu Ali Sina University, Hamedan
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
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
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
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
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
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
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
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
Neetu AK, Tomer A (2012) A deteriorating inventory model under variable inflation when supplier credits linked to order quantity. Procedia Eng 38:1241–1263
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
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
Salameh MK, Jaber MY (2000) Economic production quantity model for items with imperfect quality. Int J Prod Econ 64:59–64
Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton
Singh C, Singh SR (2012) Imperfect production process with exponential demand rate, Weibull deterioration under inflation. Int J Oper Res 12:430–445
Taguchi G, Chowdhury S, Wu Y (2005) Taguchi’s quality engineering handbook. Wiley, New Jersey
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
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
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
Yager RR (1995) On the Dempster–Shafer framework and new combination rules. Inf Sci 41:317–323
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
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
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12351-017-0313-x