Inventory model for deteriorating items with negative exponential demand, probabilistic deterioration and fuzzy lead time under partial back logging

• Autorzy: Sen Nabendu , Saha Sumit

Identyfikatory

DOI

10.37190/ord200306

• Języki publikacji: EN

Abstrakty

EN

The effect of lead time plays an important role in inventory management. It is also important to study the optimal strategies when the lead time is not precisely known to the decision-makers. This paper aimed to examine the inventory model for deteriorating items with fuzzy lead time, negative exponential demand, and partially backlogged shortages. This model is unique in its nature due to probabilistic deterioration along with fuzzy lead time. The fuzzy lead time was assumed to be triangular, parabolic, trapezoidal numbers. The graded mean integration representation method was used for the defuzzification purpose. Three different types of probability distributions, namely uniform, triangular and beta were used for rate of deterioration to find optimal time and associated total inventory cost. The developed model was validated numerically, and values of optimal time and total inventory cost are given in a tabular form, corresponding to different probability distributions and fuzzy lead-time. The sensitivity analysis was performed on the variation of key parameters to observe its effect on the developed model.

Słowa kluczowe

EN

fuzzy lead time; shortages; partially backlogged; exponentially declining demand; probabilistic deterioration

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2020
• Tom: Vol. 30, No. 3
• Strony: 97--112
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Sen Nabendu

• Department of Mathematics, Assam University, Silchar, 788 011, Assam, India

autor

Saha Sumit

• Department of Mathematics, Assam University, Silchar, 788 011, Assam, India

Bibliografia

• [1] BHUNIA A.K., SHAIKH A., A deterministic inventory model for deteriorating items with selling price dependent demand and three-parameter Weibull distributed deterioration. Int. J. Ind. Eng. Comp., 2104, 5 (3), 497–510.
• [2] CHANDRA S., An inventory model with ramp type demand, time varying holding cost and price discount on backorders, Unc. Supp. Chain Manage., 2017, 5 (1), 51–58.
• [3] CHOU S.Y., JULIAN P.C., HUNG K.C., A note on fuzzy inventory model with storage space and budget constraints, Appl. Math. Model., 2009, 33 (11), 4069–4077.
• [4] DE S.K., SANA S.S., Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index, Econ Model., 2013, 31, 351–358.
• [5] DAS D., ROY A., KAR S., Improving production policy for deteriorating items under partial delay in payment with stock dependent demand, Comp. Math. Appl., 2010 60 (7),1973–1985.
• [6] HALIM M.A., Weibull distributed deteriorating inventory model with ramp type demand and fully backlogged shortages, Asian J. Math. Comp. Sci. Res., 2017, 19 (3), 148–157.
• [7] JAGGI C.K., PAREEK S., KHANNA A., NIDHI N., Optimal replenishment policy for fuzzy inventory model with deteriorating items and allowable shortages under inflationary conditions, Yugoslavian J. Oper. Res., 2016, 26 (4), 507–526.
• [8] KHURANA D., TAYAL S., SINGH R.S., An EPQ model for deteriorating items with variable demand rate and allowable shortages, Int. J. Oper. Res. Math., 2018, 12 (1), 117–128.
• [9] KAZEMI N., EHSANI E., JABER M.Y., An inventory model with back orders with fuzzy parameters and decision variable, Int. J. Appr. Res., 2010, 51 (8), 964–972.
• [10] LOTFI R., WEBER G.W., SAJADIFAR S.M., MARDANI N., Interdependent demand in the two-period newsvendor problem, J. Ind. Manage. Opt., 2018, 777–792.
• [11] MISHRA V.K., SINGH L.S., KUMAR R., An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging, J. Ind. Eng. Int., 2013, 9 (1), 4.
• [12] MISRA S., MISRA U., MISRA G., An inventory model for inflation induced demand and Weibull deteriorating items, Int. J. Adv. Eng. Technol., 2012, 4 (1), 176–182.
• [13] MAITI M.K., Fuzzy inventory model with two warehouses under possibility measure on fuzzy goal, Eur. J. Oper. Res., 2008, 188 (3), 746–774.
• [14] MANDAL N.K., ROY T.K., A displayed inventory model with L–R fuzzy number, Fuzzy Opt. Dec. Mak., 2006, 5 (3), 227–243.
• [15] MANDAL M.K., ROY T.K., MAITI M., Multi-objective inventory model with three constraints: a geometric programming approach, Fuzzy Set Syst., 2005, 150 (1), 87–106.
• [16] PANDA S., SAHA S., MODAK M.N., SANA S.S., A volume flexible deteriorating inventory model with price sensitive demand, Tékh., Rev. Appl. Manage. Stud., 2017, 15 (2), 117–123.
• [17] PALANIVEL M., PRIYAN S., UTHAYAKUMAR R., An inventory model with finite replenishment, probabilistic deterioration and permissible delay in payments, J. Manage. Anal., 2015, 2 (3), 254–279.
• [18] REDDY M.S., VENKATESWARLU R., Perishable inventory models for stock dependent quadratic demand under inflation, IOSR J. Math., 2016, 12 (2), 64–70.
• [19] ROY A., Fuzzy inventory model for deteriorating items with price dependent demand, Int. J. Manage. Sci. Eng. Manage., 2015, 10 (4), 237–241.
• [20] ROY A., MAITI M.K., KAR S., MAITI M., An inventory model for deteriorating items with displayed stock dependent demand under fuzzy inflation and time discounting over a random planning horizon,Appl. Math. Model., 2009, 3 (2), 744–759.
• [21] ROY A., KAR S., MAITI M., A deteriorating multi-item inventory model with fuzzy costs and resources based on two different defuzzification techniques, Appl. Math. Model., 2008, 32 (2), 208–223.
• [22] SEN N., SAHA S., An inventory model for deteriorating items with time dependent holding cost and shortages under permissible delay in payment, Int. J. Proc. Manage., 2018, 11, (4), 518–531.
• [23] SHAH N.H., NAIK M.K., Inventory policies for deteriorating items with time price backlog dependent demand, Int. J. Syst. Sci. Oper. Log., 2020, 7 (1), 76–89.
• [24] SHAH N.H., NAIK M., EOQ model for deteriorating item under full advance payment availing of discount when demand is price sensitive, Int. J. Sup. Chain Oper. Res., 2018, 3 (2), 163–197.
• [25] SAHA S., SEN N., A study on inventory model with negative exponential demand and probabilistic deterioration under backlogging, Unc. Sup. Chain Manage., 2017, 5 (2), 77–88.
• [26] SAHA S., CHAKRABARTI T., Fuzzy inventory model for deteriorating items in a supply chain system with price dependent demand and without backorder, Am. J. Eng. Res., 2017, 6 (6), 183–187.
• [27] SEN N., NATH B.K., SAHA S., A fuzzy inventory model for deteriorating items based on different defuzzification techniques, Am. J. Math. Stat., 2016, 6 (3), 128–137.
• [28] SHARMILA D., UTHAYAKUMAR R., Inventory model for deteriorating items involving fuzzy with shortages and exponential demand, Int. J. Sup. Oper. Manage., 2015, 2 (3), 888–904.
• [29] SARKAR B., SARKAR S., Variable deterioration and demand an inventory model, Econ. Mod., 2013, 31, 548–556.
• [30] TRIPATHI R.P., Inventory model with time dependent demand rate under inflation when supplier creditlinked to ordered quantity, Int. J. Bus. Inf. Tech., 2011, 3, 174–183.
• [31] TRIPATHI R.P., PAREEK S., KAUR M., Inventory model with power demand and inventory-induced demand with holding cost function, Am. J. Appl. Sci., 2017, 14 (6), 607–613.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).