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A fuzzy inventory model for Weibull deteriorating items under completely backlogged shortages. (English) Zbl 1480.90025

Summary: In this paper, a fuzzy stock replenishment policy implemented for inventory items that follows linear demand and Weibull deterioration under completely backlogged shortages. Moreover, to minimize the aggregate expense per unit time, the fuzzy optimal solution is obtained using general mathematical techniques by considering hexagonal fuzzy numbers and graded mean preference integration strategy. Finally, the complete exposition of the model is provided by numerical examples and sensitivity behavior of the associated parameters.

MSC:

90B05 Inventory, storage, reservoirs
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[1] S. Agarwal; S. Banerjee; S. Papachristos, Inventory model with deteriorating items, ramp-type demand and partially backlogged shortages for a two warehouse system, Appl. Math. Model., 37, 8912-8929 (2013) · Zbl 1426.90006
[2] S. Barik; S. K. Paikray; S. Mishra; U. K. Misra, An inventory model for deteriorating items under time varying demand condition, Int. J. Appl. Eng. Res., 10, 35770-35773 (2015)
[3] S. Barik; S. K. Paikray; S. Mishra; U. K. Misra, A Deteriorating inventory model with shortages under pricedependent demand and inflation, Asian J. Math. Comput. Res., 8, 14-25 (2016)
[4] D. Chakraborty; D. K. Jana; T. K. Roy, Two-warehouse partial backlogging inventory model with ramp type demand rate, three-parameter Weibull distribution deterioration under inflation and permissible delay in payments, Comput. Indus. Eng., 123, 157-179 (2018)
[5] R. P. Covert; G. C. Philip, An EOQ model for items with weibull distribution deterioration, AIIE Trans., 5, 323-326 (1973)
[6] D. S. Dinagar; J. R. Kannan, On fuzzy inventory model with allowable shortage, Internat. J. Pure. Appl. Math., 99, 65-76 (2015)
[7] I. Djordjevic; D. Petrovic; G. Stojic, A fuzzy linear programming model for aggregated production planning (APP) in the automotive industry, Comput. Ind., 110, 48-63 (2019)
[8] S. Faddel; A. T. Al-Awami; M. A. Abido, Fuzzy optimization for the operation of electric vehicle parking lots, Elect. Pow. Syst. Res., 145, 166-174 (2017)
[9] P. M. Ghare; G. F. Schrader, A Model for exponentially decaying inventories, J. Ind. Eng., 14, 238-243 (1963)
[10] S. K. Indrajit; S. Routray; S. K. Paikray; U. K. Misra, Fuzzy economic productionquantity model with time dependent demand rate, Sci. J. Logis., 12, 193-198 (2016)
[11] C. K. Jaggi; S. Pareek; A. Khanna; R. Sharma, Credit financing in a two-warehouse environment for deteriorating items with price-sensitive demand and fully backlogged shortages, Appl. Math. Model., 38, 5315-5333 (2014) · Zbl 1428.90010
[12] S. Jain; M. Kumar, An inventory model with power demand pattern Weibull distribution deterioration and shortages, J. Indian Acad. Math., 30, 55-61 (2008) · Zbl 1219.90011
[13] J. Kacprzyk; P. Stanieski, Long-term inventory policy-making through fuzzy decision-making models, Fuzzy Sets Syst., 8, 117-132 (1982) · Zbl 0491.90030
[14] C. Kao; W. K. Hsu, A single-period inventory model with fuzzy demand, Comput. Math. Appl., 43, 841-848 (2002) · Zbl 0994.90002
[15] M. T. Lamata; D. Pelta; J. L. Verdegay, Optimisation problems as decision problems: The case of fuzzy optimisation problems, Inform. Sci., 460/461, 377-388 (2018) · Zbl 1440.91015
[16] H. M. Lee; J. S. Yao, Economic production quantity for fuzzy demand and fuzzy production quantity., European J. Oper. Res., 109, 203-211 (1998) · Zbl 0951.90019
[17] J. Mezei; S. Nikou, Fuzzy optimization to improve mobile health and wellness recommendation systems, Knowledge-Based Syst., 142, 108-116 (2018)
[18] S. Mishra; G. Misra; U. K. Misra; L. K. Raju, An inventory model with quadratic demand pattern and deterioration with shortages under the influence of inflation, Math. Financ. Lett., 1, 57-67 (2012)
[19] S. Mishra; S. Barik; S. K. Paikray; U. K. Misra, An inventory control model of deteriorating items in fuzzy environment, Global J. Pure Appl. Math., 11, 1301-1312 (2015)
[20] S. Misra; U. K. Misra; S. Barik; S. K. Paikray, An inventory model for inflation induced demand and Weibull deteriorating items, Internat. J. Adv. Eng. Technol., 4, 176-182 (2012)
[21] H. S. Najafi; S. A. Edalatpanah; H. Dutta, A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters, Alexandria Eng. J., 55, 2589-2595 (2016)
[22] S. Pal; G. S. Mahapatra; G. P. Samanta, An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment, International Journal of Production Economics, 156, 159-166 (2014)
[23] K. S. Park, Fuzzy set theoretical interpretation of economic order quantity, IEEE Trans., 17, 1082-1084 (1987)
[24] L. K. Raju; U. K. Misra; S. Mishra; G. Misra, An inventory model for Weibull deteriorating items with linear demand pattern, J. Comput. Math. Sci., 3, 440-445 (2012)
[25] S. S. Routray; S. K. Paikray; S. Misra; U. K. Misra, Fuzzy inventory model with single item under time dependent demand and holding cost, Internat. J. Adv. Res. Sci. Eng., 6, 1604-1618 (2017)
[26] S. S. Sanni; W. I. E. Chukwu, An economic order quantity model for items with three-parameter Weibull distribution deterioration, ramp-type demand and shortages, Appl. Math. Model., 37, 9698-9706 (2013) · Zbl 1427.90028
[27] S. Sarbjit; S. S. Raj, An optimal inventory policy for items having linear demand and variable deterioration rate with trade credit, J. Math. Stat., 5, 330-333 (2009) · Zbl 1187.90030
[28] Y. K. Shah, An order-level lot-size inventory model for deteriorating items, AIEE Trans., 9, 108-112 (1977)
[29] I. Tomba; K. H. Brojendro, An inventory model with linear demand pattern and deterioration with shortages, J. Indian Acad. Math., 33, 607-612 (2011) · Zbl 1297.90008
[30] C. K. Tripathy; L. M. Pradhan; U. Mishra, An EPQ model for linear deteriorating item with variable holding cost, Int. J. Comput. Appl. Math., 5, 209-215 (2010)
[31] G. Viji; K. Karthikeyan, An economic production quantity model for three levels of production with Weibull distribution deterioration and shortage, Ain Shams Eng. J., 9, 1481-1487 (2018)
[32] H-L. Yang, Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation, Int. J. Prod. Econ., 138, 107-116 (2012)
[33] H.-M. Lee; J.-S. Yao, Economic order quantity in fuzzy sense for inventory without back-order model, Fuzzy Sets Syst., 105, 13-31 (1999) · Zbl 0947.90005
[34] L. A. Zadeh, Fuzzy sets, Inform. Control, 8, 338-353 (1965) · Zbl 0139.24606
[35] H.-J. Zimmerman, Fuzzy programming and linear programming with several objective Functions, Fuzzy Sets Syst., 1, 45-55 (1978) · Zbl 0364.90065
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