Department of Mathematics, V R A L Govt Girls Degr ee College, Bareilly, 243006, U.P.
JournalPIJST
Volume / Issue1 / 7
Pages19–31
Published31 Jul 2024
Paper IDPIJST17J24003
Views / Downloads1 / 1
Article summary
Abstract
- In this work, we have created a fuzzy inventory model for degrading goods that takes the system’s impact of inflation into account and includes price and time-dependent demand. If there are any shortages, they are permitted and will be partially backlogged at a variable rate based on how long it takes for the next lot to arrive. The corresponding problem has been presented as an optimisation problem with constraints that is nonlinear; all of the cost parameters have been addressed with fuzzy values. To demonstrate the paradigm, a numerical example has been examined, and the key findings are highlighted. Ultimately, using these instances as a basis, sensitivity assessments were conducted by examining one parameter at a time while maintaining the same values for the other parameters.
Gaurav Gupta (2024). Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand. Procedure International Journal of Science and Technology, 1(7), 19–31. https://doi.org/10.62796/pijst.2024v1i7003
Gaurav Gupta. “Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand.” Procedure International Journal of Science and Technology, vol. 1, no. 7, 2024, pp. 19–31. https://doi.org/10.62796/pijst.2024v1i7003
Gaurav Gupta. “Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand.” Procedure International Journal of Science and Technology 1, no. 7 (2024): 19–31. https://doi.org/10.62796/pijst.2024v1i7003
Gaurav Gupta (2024) ‘Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand’, Procedure International Journal of Science and Technology, 1(7), pp. 19–31. Available at: https://doi.org/10.62796/pijst.2024v1i7003.
Gaurav Gupta, “Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand,” Procedure International Journal of Science and Technology, vol. 1, no. 7, pp. 19–31, 2024. https://doi.org/10.62796/pijst.2024v1i7003.
Gaurav Gupta. Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand. Procedure International Journal of Science and Technology. 2024;1(7):19–31. https://doi.org/10.62796/pijst.2024v1i7003.
Gaurav Gupta. Mandeep Singh An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand. Procedure International Journal of Science and Technology 2024, 1 (7), 19–31. https://doi.org/10.62796/pijst.2024v1i7003.
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P.L. Abad, Optimal pricing and lot-sizing under of conditions of perish ability and partial backordering, Management Science, 42 (1996) 1093-1104.
S. Anily and A. Federgruen, One warehouse multiple retailer systems with vehicle routing costs, Management Science, 36 (1990).
R. Amutha and E. Chandrasekaran, An inventory model for deteriorating items with three parameter weibull deterioration and price dependent demand, Journal of Engineering Research & Technology, 2(5) (2013) 1931-1935.
F. Buffa and and J. Munn, A recursive algorithm for order cycle that minimizes logistic cost, Journal of Operational Research Society, 40 (1989) 357. Md. Anwar Hossen, Md. Abdul Hakim, S.S. Ahmed and M. Sharif Uddin 28.
J.A. Buzacott, Economic order quantities with inflation, Operational Research Quarterly, 26 (1975) 553-558.
H. Bierman, and J. Thomas, Inventory decision under inflationary conditions’, Decision Science, 8(1977) 151-155.
A.K. Bhunia and A.A. Shaikh, A deterministic model for deteriorating items with displayed inventory level dependent demand rate incorporating marketing decision with transportation cost, International Journal of Industrial Engineering Computations, 2(3) (2011) 547-562.
A.K. Bhunia and M. Maiti, Deterministic inventory model for deteriorating items with finite rate of replenishment dependent on inventory level, Computers and Operations Research, 25 (1998) 997-1006.
A.K.Bhunia and M.Maiti, An inventory model of deteriorating items with lot-size dependent replenishment cost and a linear trend in demand, Applied Mathematical Modelling, 23 (1998) 301-308.
A.K.Bhunia, A.A.Shaikh, A.K.Maiti and M.Maiti, A two warehouse deterministic inventory model for deteriorating items with a linear trend in time dependent demand ver finite time horizon by elitist real-coded genetic algorithm. International Journal of Industrial Engineering Computations, 4(2) (2013) 241-258.
A.K. Bhunia, A.A.Shaikh and R.K.Gupta, A study on two-warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimization, International Journal of System Science. (2013).
W.J.Baumol and H.C.Vinod, An inventory theoretic model of freight transport demand, Management Science, 16 (1970) 413 – 421.
G.K. Constable and D.C. Whybark, Interactions of transportation and inventory decision, Decision Science, 9 (1978) 689.
R.P. Covert and G.C. Philip, An EOQ model for items with Weibull distribution deterioration, American Institute of Industrial Engineering Transactions, 5 (1973) 323-326.
T. Chakrabarty, B.C. Giri and K.S. Chaudhuri, An EOQ model for items with Weibull distribution deterioration, shortages and trend demand: An extention of Philip’s model., Computers & Operations Research, 25 (1998) 649-657.
M. Deb and K.S. Chaudhuri, An EOQ model for items with finite rate of production and variable rate of deterioration, Opsearch, 23 (1986) 175-181.
T.K. Datta and A.K. Pal, Effects of inflation and time value of money on an inventory model with linearly time-dependent demand rate and shortages, European Journal of Operational Research, 52 (1991) 326-333. (Online).
J.K. Dey, S.K. Mondal, and M. Maiti, Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money, European Journal of Operational Research, 185 (2008) 170194.
H. Emmons, A replenishment model for radioactive nuclide generators, Management Science, 14 (1968) 263-273.
B.C.Giri, A.K.Jalan and K.S.Chaudhuri, Economic order quantity model with weibull deteriorating distribution, shortage and ram-type demand, International journal of System Science, 34 (2003) 237-243. An Inventory Model with Price and Time Dependent Demand with Fuzzy Valued Inventory Costs Under Inflation.
P. Ghare and G. Schrader, A model for exponential decaying inventories, Journal of Industrial Engineering, 14 (1963) 238-243.
B.C. Giri, S.Pal, A. Goswami and K.S. Chaudhuri, An inventory model for deteriorating items with stock-dependent demand rate, European Journal of Operational Research, 95 (1996) 604610.
A. Goswami and K.S. Chaudhuri, An EOQ model for deteriorating items with shortage and a linear trend in demand, Journal of the Operational Research Socity, 42 (1991) 1105-1110.
S.K. Goyal and A. Gunasekaran, An integrated production-inventory-marketing model for deteriorating items, Computers & Industrial Engineering, 28 (1995) 755-762.
S.K. Ghosh and K.S. Chaudhury, An order-level inventory model for a deteriorating items with Weibull distribution deterioration, time-quadratic demand and shortages, International Journal of Advanced Modeling and Optimization, 6(1) (2004)31-45.
B.C. Giri, T. Chakrabarty and K.S. Chaudhuri, Retailer’s optimal policy for perishable product with shortages when supplier offers all-unit quantity and freight cost discounts, Proceeding of National Academy of Sciences, 69(A),III (1999) 315-326.
T.P. Hsieh, C.Y. Dye and L.Y. Ouyang, Determining optimal lot size for a two ware house system with deteriorating and shortages using net present value, European Journal of Operational Research, 191 (2008) 180-190.
C.K. Jaggi, K.K. Aggarwal and S.K. Goel, Optimal order policy for deteriorating items with inflation induced demand, International Journal of Production Economics, 103 (2006)707-714.
C.K. Jaggi, A.Khanna and P.Verma, Two-warehouse partial backlogging inventory for deteriorating items with linear trends in demand under inflationary conditions’. International Journal of Systems Science, 42 (2011) 1185-1196.
S. Kawale and P.Bansode, An EPQ model using weibull deterioration for deterioration item with time varying holding cost, International Journal of Science Engineering and Technology Research, 1(4) (2012) 29-33.
P. Kotler, Marketing Decision Making: A Model Building Approach, Holt. Rinehart, Winston, New York (1971).
K.N. Krishnaswamy, N.G. Kulkarni and M. Mathirajan, Inventory models with constraints and changing transportation cost structure, International Journal of Management and Systems, 11 (1995) 91 – 110.
S. Ladany and A. Sternleib, The intersection of economic ordering quantities and marketing policies, AIIE Trnsactions, 6 (1974) 173-175.
W.Luo, An integrated inventory system for perishable goods with backordering, Computers & Industrial Engineering, 34 (1998) 685 – 693.
R.B.Misra, Optimum Production lot-size model for a system with deteriorating inventory, (Online) International Journal of Production Research, 13 (1975) 495-505.
M.Mandal and M.Maiti, Inventory model for damageable items with stock-dependent demand and shortages, Opsearch, 34 (1997) 156-166.
B.Mondal, A.K.Bhunia and M.Maiti, A model of two storage inventory system under stock dependent selling rate incorporating marketing decisions and transportation cost with optimum release rule, Tamsui Oxford Journal of Mathematical Sciences, 23(3) (2007) 243-267. Md. Anwar Hossen, Md. Abdul Hakim, S.S.Ahmed and M.Sharif Uddin 30.
R.B.Misra, A note on optimal inventory management under inflation’, Naval Research Logistics Quarterl, 26 (1979) 161-165.
B.N.Mandal and S.Phaujdar, An inventory model for deteriorating items and stockdependent consumption rate, Journal of Operational Research Society, 40 (1989) 483 – 488.
G. Padmanabhan and P. Vrat, EOQ models for perishable items under stock-dependent selling rate, European Journal of Operational Research, 86 (1995) 281-292.
S.Pal, A. Goswami and K.S. Chaudhuri, A deterministic inventory model for deteriorating items with stock-dependent demand rate, International Journal of Production Economics, 32 (1993) 291-299.
A.K. Pal, A.K. Bhunia and R.N. Mukherjee, A marketing oriented inventory model with three component demand rate dependent on displayed stock level (DSL), Journal Operational Research Society, 56 (2005) 113-118.
A.K. Pal, A.K. Bhunia and R.N. Mukherjee, Optimal lot size model for deteriorating items with demand rate dependent on displayed stock level(DSL) and partial backordering, European Journal of Operational Research, 175 (2006) 977-991.
P.Pal. A.K.Bhunia and S.K.Goyal, On optimal partially integrated production and marketing policy with variable demand under flexibility and reliability consideration via Genetic Algorithm. Applied Mathematics and Computation, 188 (2007) 525-537.
S. Sana, S.K. Goyal and K.S. Chaudhuri, A production-inventory model for a deteriorating item with trended demand and shortages, European Journal of Operation Research, 157 (2004) 357371.
S.S ana and K.S. Chaudhuri On a volume flexible production policy for deteriorating item with stock-dependent demand rate, Nonlinear Phenomena in Complex system,7(1) (2004)61-68.
B.R. Sarkar, S. Mukherjee and C.V. Balan, An order-level lot-size inventory model with inventorylevel dependent demand and deterioration, International Journal of Production Economics, 48 (1997) 227-236.
V.Sharma and R.R.Chaudhary, An inventory model for deteriorating items with weibull deterioration with time dependent demand and shortages, Research Journal of Management Sciences, 2 (2013) 28-30.
S. Subramanyam and S. Kumaraswamy, EOQ formula under varying marketing policies and conditions, AIIE Transactions, 22 (1981) 312-314.
C.K.Tripathy and U.Mishra, An inventory model for weibull deteriorating items with price dependent demand and time-varying holding cost, Applied Mathematical Sciences, 4 (2010)2171-.
A.A.Taleizadeh, D.W.Pentico, M.S.Jabalameli and M.B.Aryanezhad, An economic order quantity model with multiple partial prepayments and partial backordering, Mathematical and Computer Modelling, 57 (2013) 311-323.
A.A.Taleizadeh, D.W.Pentico, M.S.Jabalameli and M.B.Aryanezhad, An EOQ problem under uartial delayed payment and partial backordering, Omega, 41 (2013) 354-368. (Online).
A.A. Taleizadeh, D.W. Pentico, M.B. Aryanezhad and M. Ghoreyshi, An economic order quantity model with partial backordering and a special sale price, European Journal of Operational Research, 221 (2012)571-583. An Inventory Model with Price and Time Dependent Demand with Fuzzy Valued Inventory Costs Under Inflation, 31.
A.A. Taleizadeh, H.M. Wee, and F. Jolai, Revisiting fuzzy rough economic order quantity model for deteriorating items considering quantity discount and prepayment, Mathematical and Computer Modeling, 57 (2013) 1466-1479.
A.A. Taleizadeh, S.T.A. Niaki and A. Makui, Multi-product multi-chance constraint multi-buyer single-vendor supply chain problem with stochastic demand and variable lead time, Expert Systems with Applications, 39 (2012) 5338–5348.
A.A. Taleizadeh, S.T. Niaki, N. Shafii, Ghavamizadeh, R. Meibodi and A. Jabbarzadeh, A particle swarm optimization approach for constraint joint single buyer single vendor inventory problem with changeable lead-time and (r,Q) policy in supply chain, International Journal of Advanced Manufacturing Technology, 51 (2010) 1209-1223.
P. Vrat and G. Padmanabhan, An EOQ model for items with stock dependent consumption rate and exponential decay, Engineering Costs and Production Economics, 19 (1990) 379-383.
H.M. Wee, Deteriorating inventory model with quantity discount, pricing and partial backordering, International Journal of Production Economics, 59 (1999) 511-518.
H.M. Wee and S.T. Law, Economic production lot size for deteriorating items taking account of time value of money, Computers and Operations Research, 26 (1999) 545-558.
H.M. Wee and S.T. Law, Replenishment and pricing policy for deteriorating items taking into account the time-value of money, International Journal of Production Economics, 71 (2001) 213-220.
H.L. Yang, Two-warehouse inventory models for deteriorating items with shortage under inflation,.
