An EOQ model for deteriorating items with time-dependent exponential demand rate and penalty cost

• Autorzy: Kumar Sushil

Identyfikatory

DOI

10.5277/ord190303

• Języki publikacji: EN

Abstrakty

EN

The present paper deals with an EOQ model for deteriorating items with time-dependent exponential demand rate and partial backlogging. Shortages are allowed and completely backlogged in this model. The backlogging rate of unsatisfied demand is assumed as a function of waiting time. The concept of penalty cost is introduced in the proposed model because there are many perishable products that do not deteriorate for some period of time and after that period they continuously deteriorate and lose their values. This loss can be incurred as penalty cost to the wholesalers/retailers. In any business organization, the penalty cost has an important role for special types of seasonal products and short life products. Therefore, the total cost of the product can be reduced by maximizing the demand rate and minimizing the penalty cost during a given period of time. The purpose of our study is to optimise the total variable inventory cost. A numerical example is also given to show the applicability of the developed model.

Słowa kluczowe

EN

inventory; deterioration; penalty cost; time-dependent exponential demand rate

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2019
• Tom: Vol. 29, No. 3
• Strony: 37--49
• Opis fizyczny: Bibliogr. 38 poz., rys., tab.

Twórcy

autor

Kumar Sushil

• Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh 226007, India

Bibliografia

• [1] GHARE P., SCHRADER G., An inventory model for exponentially decaying items, J. Ind. Eng., 1963, 14 (5), 238–243.
• [2] COVERT R.P., PHILIP G.C., An EOQ model for Weibull deteriorating items, AIIE Trans., 1973, 5 (4), 323–326.
• [3] MISRA R.B., An optimum production lot size inventory model for deteriorating items, Int. J. Prod. Res., 1975, 13 (5), 495–505.
• [4] WEISS H.J., An economic order quantity model for perishable items with non linear holding cost, Eur. J. Oper. Res., 1982, 9, 56–60.
• [5] MITRA A., COX J.F., JESSE R.R., A note on deteriorating order quantities with linear trend in demand, J. Oper. Res. Soc., 1984, 35, 141–144.
• [6] DEB M., CHAUDHARI K.A., Note on heuristic inventory models with a replenishment policy of trended inventories by considering shortages, J. Oper. Res. Soc., 1987, 38 (5), 459–463.
• [7] GOSWAMI A., CHAUDHURI K.S., An EOQ model for deteriorating items with shortages and linear trend in demand, J. Oper. Res. Soc., 1991, 42 (12), 1105–1110.
• [8] FUJIWARA O., PERERA U.L.J.S.R., An EOQ model for continuously deteriorating items using linear and exponential penalty costs, Eur. J. Oper. Res., 1993, 70 (1), 104–114.
• [9] HARGIA M., An inventory lot-sizing problem with time-varying demand and shortages, J. Oper. Res. Soc., 1994, 45 (7), 827–837.
• [10] JAIN K., SILVER E.A., A lot-sizing inventory model for perishable items, Eur. J. Oper. Res., 1994, 75 (2), 287–295.
• [11] WEE H.M., A deterministic lot size inventory model for deteriorating items with declining demand and shortages, Comp. Oper. Res., 1995, 22 (3), 345–356.
• [12] GIRI B.C., CHAKRABARTI T., CHAUDHURI K.S., Heuristic inventory models for deteriorating items with time-varying demand, costs and shortages, Int. J. Sci., 1997, 28 (2), 153–159.
• [13] JALAN A.K., CHAUDHURI K.S., An EOQ model for perishable items with declining demand and SFI policy, Korean J. Computational and Applied Mathematics, 1999, 16 (2), 437–449.
• [14] LIN C., TAN B., LEE W.C., An EOQ model for deteriorating items with time-varying demand and shortages, Int. J. System Sci., 2000, 31 (3), 391–400.
• [15] MONDAL B., BHUNIA A.K., MAITI M., An inventory model of ameliorating items with price dependent demand rate, Computers and Industrial Engineering, 2003, 45 (3), 443–456.
• [16] KHANA S., CHAUDHURI K.S., A note on an order level inventory model for perishable items with timedependent quadratic demand, Computers and Operations Research, 2003, 30 (12), 1901–1916.
• [17] TENG J.T.,CHANG C.T., An EPQ model for deteriorating items with price and stock dependent demand, Computers and Operations Research, 2005, 32 (2), 297–308.
• [18] GHOSH S.K., CHAUDHURI K.S., An EOQ model with quadratic demand and time-varying deterioration rate and allowing shortages, Int. J. System Sci., 2006, 37 (10), 663–672.
• [20] TRIPATHY C.K., MISHRA U., An inventory model for weibull deteriorating items with time-dependent demand rate and completely backlogging, Int. Mathematical Forum, 2010, 5 (54), 2675–2687.
• [21] DYE C.Y., HEISH T.P., An optimal replenishment policy for perishable items with effective investment in preservation technology, Eur. J. Oper. Res., 2012, 218 (1), 106–112.
• [22] SHAH N.H., SONI H.N., PATEL K.A., An optimal replenishment policy for non-instantaneous deteriorating items with time-varying deterioration rate and holding cost, Omega, 2013, 41 (2), 421–430.
• [23] MARY LATHA K.F., UTHAYAKUMAR R., An partially backlogging inventory model for perishable items with probabilistic deterioration and permission delay in time, Int. J. Inf. Manage. Sci., 2014, 25 (4), 297–316.
• [24] PALANIVEL M., UTHAYAKUMAR R., A production inventory model for perishable items with probabilistic deterioration and variable production cost, Asia Pacific J. Math., 2014, 1 (2), 197–212.
• [25] VIJAYASHREE M., UTHAYAKUMAR R., A two stage supply chain model with selling price dependent demand and investment for quantity improvement, Asia Pacific J. Math., 2014, 1 (2), 182–196.
• [26] VIJAYASHREE M., UTHAYAKUMAR R., An EOQ model for time deteriorating items with infinite and finite production rate with shortages and completely backlogging, Oper. Res. Appl. J. (ORAJ), 2015, 2 (4), 31–40.
• [27] PEVEKAR AADITYA NAGRE M.R., Inventory model for timely deteriorating products considering penalty cost and shortage cost, Int. J. Sci. Techn. Eng., 2015, 2 (2), 1–4.
• [28] BEHERA N.P., TRIPATHY P.K., Fuzzy EOQ model for time deteriorating items using penalty cost, Am. J. Oper. Res., 2016, 6 (1), 1–8.
• [29] EL-WAKEEL MONA F., AL-YAZIDI KHOLOOD O., Fuzzy constrained probabilistic inventory models depending on trapezoidal fuzzy numbers, Hindwai Publishing Corporation Advances in Fuzzy Systems, 2016, 2016, 1–10.
• [30] ARORA P., A study of inventory models for deteriorating items with shortages, Int. J. Adv. Sci. Res., 2016, 1 (2), 69–72.
• [31] HOSSEN M.A., HAKIM A., SABBIR A.S., UDDIN S.M., An inventory model with price and time-dependent demand with fuzzy valued inventory costs under inflation, Ann. Pure Appl. Math., 2016, 11 (2), 21–32.
• [32] SEKAR T., UTHAYAKUMAR R., A multi production inventory model for deteriorating items considering penalty and environmental pollution cost with failure rework, Unc. Sup. Chain Manage., 2017, 5, 229–242.
• [33] MARAGATHAM M., PALANI R., An inventory model for deteriorating items with lead time price dependent demand and shortages, Adv. Comp. Sci. Techn., 2017, 10 (6), 1839–1847.
• [34] SAHOO N.K., TRIPATHY P.K., Optimization of fuzzy inventory model with trended deterioration and salvage, Int. J. Fuzzy Math. Arch., 2018, 15 (1), 63–71.
• [35] NAIK B.T., PATEL R., Imperfect quality and repairable items inventory model with different deterioration rates under price and time-dependent demand, Int. J. Eng. Res. Dev., 2018, 14 (7), 41–48.
• [36] BEHRA N.P., TRIPATHY P.K., Inventory replenishment policy with time reliability varying demand, Int. J. Sci. Res. Math. Stat. Sci., 2018, 5 (2), 1–12.
• [37] HAUGHTON M., ISOTUPA S.K.P., A continuous review inventory systems with lost sales and emergency orders, Am. J. Oper. Res., 2018, 8, 343–359.
• [38] JEYAKUMARI S.R., LAURA S.M., THEO J.A., Fuzzy EOQ model with penalty cost using hexagonal fuzzy numbers, Int. J. Eng. Sci. Res. Techn., 2018, 7 (7), 185–193.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).