An estimation of effects of memory and learning experience on the eoq model with price dependent demand

Open Access

Issue		RAIRO-Oper. Res. Volume 55, Number 5, September-October 2021


Page(s)		2991 - 3020
DOI		https://doi.org/10.1051/ro/2021127
Published online		13 October 2021

O.P. Agrawal, J.A. Tenreiro-Machado and I. Sabatier, Fractional derivatives and their applications. Nonlinear Dyn. 38 (2004) 1–489. [Google Scholar]
R.P. Agarwal, V. Lakshmikantham and J.J. Nieto, On the concept of solutions for fractional differential equations with uncertainty. Non Linear Ann. 72 (2010) 2859–2862. [Google Scholar]
T. Allahviranloo and M.B. Ahmadi, Fuzzy Laplace transforms. Soft Comput. 14 (2010) 235–243. [Google Scholar]
T. Allahviranloo, S. Abbasbandy, S. Salahsour and A. Hakimzadeh, A new method for solving fuzzy linear differential equations. Computing 92 (2011) 181–197. [Google Scholar]
T. Allahviranloo, S. Salahshour and S. Abbasbandy, Explicit solutions of fractional differential equations with uncertainty. Soft Comput. 16 (2012) 297–302. [Google Scholar]
H.K. Alfares and A.M. Ghaithan, Inventory and pricing model with price-dependent demand, time varying holding cost and quantity discounts. Comput. Ind. Eng. 94 (2016) 170–177. [Google Scholar]
B. Bed, I.J. Rudas and A.L. Bencsik, First order linear fuzzy differential equations under generalized differentiability. Inf. Sci. 177 (2007) 1648–1662. [Google Scholar]
B. Bede, A note on “two-point boundary value problems associated with nonlinear fuzzy differential equations’’. Fuzzy Sets Syst. 157 (2006) 986–989. [Google Scholar]
R.E. Bellman and L.A. Zadeh, Decision making in a fuzzy environment. Manag. Sci. 17 (1970) 141–164. [Google Scholar]
A. Bousdekis, N. Papageorgiou, B. Magoutas, D. Apostolou and G. Mentzas, Sensor-driven learning of time-dependent parameters for prescriptive analytics. IEEE Access 8 (2020) 92383–92392. [Google Scholar]
J.J. Buckley and T. Feuring, Fuzzy initial value problem for n-th order linear differential equations. Fuzzy Sets Syst. 121 (2001) 247–255. [Google Scholar]
S.L. Chang and I.A. Zadeh, On fuzzy mapping and control. IEEE Trans. Syst. Man Cybern. 2 (1972) 30–34. [Google Scholar]
S.H. Chen, C.C. Wangand and R. Arthur, Backorder fuzzy inventory model under function principle. Inf. Sci. 95 (1996) 71–79. [Google Scholar]
B. Das, N.K. Mahapatra and M. Maity, Initial-valued first order fuzzy differential equation in bi-level inventory model with fuzzy demand. Math. Model. Anal. 13 (2008) 493–512. [Google Scholar]
S.K. De, Triangular dense fuzzy lock sets. Soft Comput. 22 (2017) 7243–7254. [Google Scholar]
S.K. De and I. Beg, Triangular dense fuzzy sets and new defuzzification methods. J. Intell. Fuzzy Syst. 31 (2016) 469–477. [Google Scholar]
B.K. Dey, B. Sarkar, M. Sarkar and S. Pareek, An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand and investment. RAIRO:OR 53 (2019) 39–57. [CrossRef] [EDP Sciences] [Google Scholar]
K. Diethelm, D. Baleanu and E. Scalas, Fractional Calculus: Models and Numerical Methods, World Scientific (2012). [Google Scholar]
W.A. Doneldson, Inventory replenishment policy for a linear trend in demand – an analytic solution. Oper. Res. Quar. 28 (1977) 663–670. [Google Scholar]
L. Feng, Y.L. Chan and L.E.C. Barron, Pricing and lot-sizing policies for perishable goods when the demand depends on selling price, displayed stocks and expiration date. Int. J. Prod. Econ. 185 (2017) 11–20. [Google Scholar]
B.C. Giri, S. Pal, A. Goswami and K.S. Chaudhuri, An inventory model for deteriorating items with stock dependent demand rate. Eur. J. Oper. Res. 95 (1996) 604–610. [Google Scholar]
P. Guchhait, M.K. Maity and M. Maity, A production inventory model with fuzzy production and demand using fuzzy differential equation: an interval compared genetic algorithm approach. Eng. Appl. Artif. Intell. 26 (2013) 766–778. [Google Scholar]
P. Guchhait, M.K. Maity and M. Maity, Inventory model of a deteriorating item with price and credit linked fuzzy demand: a Fuzzy differential equation approach. OPSEARCH 51 (2014) 321–353. [Google Scholar]
G. Hadley and T.M. Whitin, Analysis of Inventory Systems. Prentice-Hall, Englewood Cliffs, NJ (1963). [Google Scholar]
F.W. Harris, How many parts to make at once. Factory Mag. Manag. 10 (1913) 135–136. [Google Scholar]
A. Hendalianpour, Optimal lot-size and price of perishable goods: a novel game-theoretic model using double interval grey numbers. Comput. Ind. Eng. 149 (2020) 106780. [Google Scholar]
A. Hendalianpour, M. Hamzehlou, M.R. Feylizadeh, N. Xie and M.H. Shakerizadeh, Coordination and competition in two-echelon supply chain using grey revenue-sharing contracts. Grey Syst.: Theory App. (2020). DOI: 10.1108/GS-04-2020-0056. [Google Scholar]
N.V. Hoa, V. Lupulescu and D.O. Regan, A note on initial value problems for fractional fuzzy differential equations. Fuzzy Sets Syst. 347 (2018) 54–69. [Google Scholar]
M. Hojati, Bridging the gap between probabilistic and fuzzy-parameter EOQ models. Int. J. Prod. Econ. 91 (2004) 215–221. [Google Scholar]
O. Kaleva, Fuzzy differential equations. Fuzzy set Syst. 24 (1987) 301–317. [Google Scholar]
S. Karmakar, S.K. De and A. Goswami, A pollution sensitive dense fuzzy economic production quantity model with cycle time dependent production rate. J. Clean. Prod. 154 (2017) 139–150. [Google Scholar]
S. Karmakar, S.K. De and A. Goswami, A pollution sensitive remanufacturing model with waste items: triangular dense fuzzy lock set approach. J. Clean. Prod. 187 (2018) 789–803. [Google Scholar]
N. Kazemi, E. Shekarian and L.E. Cárdenas-Barrón, Incorporating human learning into afuzzy EOQ inventory model with backorders. Comput. Ind. Eng. 87 (2015) 540–542. [Google Scholar]
M.A.-A. Khan, A.A. Shaikh, G. Panda and I. Konstantaras, Inventory system with expiration date: pricing and replenishment decisions. Comput. Ind. Eng. 132 (2019) 232–247. [Google Scholar]
M.A.-A. Khan, A.A. Shaikh, I. Konstantaras, A.K. Bhunia and L.E. CárdenasBarrón, Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price. Int. J. Prod. Econ. 230 (2020) 107804. [Google Scholar]
M.A.-A. Khan, S. Ahmed, M.S. Babu and N. Sultana, Optimal lot-size decision for deteriorating items with price-sensitive demand, linearly timedependent holding cost under all-units discount environment. Int. J. Syst. Sci.: Oper. Logist. (2020) 1–14. DOI: 10.1080/23302674.2020.1815892. [Google Scholar]
J. Kim, H. Huang and S. Shinn, A optimal policy to increase supplier’s profit wit price dependent demand functions. Prod. Plan. Control 6 (1995) 45–50. [Google Scholar]
P. Liu, A. Hendalianpour, J. Razmi and M.S. Sangari, A solution algorithm for integrated production-inventory-routing of perishable goods with transshipment and uncertain demand. Complex Intell. Syst. 7 (2021) 1349–1365. [Google Scholar]
P. Majumdar, S.P. Mondal, U.K. Bera and M. Maity, Application of Generalized Hukuhara derivative approach in an economic production quantity model with partial trade credit policy under fuzzy environment. Oper. Res. Perspect. 3 (2016) 77–91. [Google Scholar]
A. Mashud, M. Khan, M. Uddin and M. Islam, A non instantaneous inventory model having different deterioration rates with stock and price dependent demand under partial backlogged shortage. Uncertain Supply Chain Manag. 6 (2018) 49–64. [Google Scholar]
K.S. Miller and B. Ross, An Introduction to the Fractional Calculus and Differential Equations. John Wiley, New York (1993). [Google Scholar]
U. Mishra, L.E.C. Barron, S. Tiwari, A.A. Shaikh and G.T. Graza, An inventory model under price and stock dependent demand for controllable deterioration rate with shortage and preservation technology investment. Ann. Oper. Res. 254 (2017) 165–190. [Google Scholar]
S.P. Mondal and T.K. Roy, First order linear homogeneous fuzzy ordinary differential equation based on the Lagrange multiplier method. J. Soft Comput. Appl. 2013 (2013) 1–17. [Google Scholar]
M. Mondal, M.K. Maity and M. Maity, A production-recycling model with variable demand, demand dependent fuzzy return rate: a fuzzy differential approach. Comput. Ind. Eng. 64 (2013) 318–332. [Google Scholar]
S. Mukhopadhyay, R.N. Mukherjee and K.S. Chaudhuri, Joint pricing and ordering policy for a deteriorating inventory. Comput. Ind. Eng. 47 (2004) 339–349. [Google Scholar]
E. Naddor, Inventory Systems. John Wiley, New York (1966). [Google Scholar]
B. Pal, S.S. Sana and K. Chaudhuri, Two echelon manufactures retailer supply chain strategies with price, quality and promotional effort sensitive demand. Int. Trans. Oper. Res. 22 (2015) 1071–1095. [Google Scholar]
R. Pakhira, U. Ghosh and S. Sarkar, Application of memory effects in an inventory model with price dependent demand rate during shortage. Int. J. Edu. Manag. Eng. 3 (2019) 51–64. [Google Scholar]
K.S. Park, Fuzzy-set theoretic interpretation of economic order quantity. IEEE Trans. Syst. Man Cybern. 17 (1987) 1082–1084. [Google Scholar]
I. Podlubny, Fractional Differential Equations. Academic Press, San Diego, CA (1999). [Google Scholar]
H. Polatoglu and L. Sahin, Operational procurement policies under price dependent demand. Int. J. Prod. Eng. 65 (2000) 141–171. [Google Scholar]
M. Rahaman, S.P. Mondal, A.A. Shaikh, A. Ahmadian, N. Senu and S. Salahshour, Arbitrary-order economic production quantity model with and without deterioration: generalized point of view. Adv. Differ. Equ. 2020 (2020). DOI: 10.1186/s13662-019-2465-x. [CrossRef] [Google Scholar]
M. Rahaman, S.P. Mondal, A.A. Shaikh, P. Pramanik, S. Roy, M.K. Maity, R. Mondal and D. De, Artificial bee colony optimization-inspired synergetic study of fractional-order economic production quantity model. Soft Comput. 24 (2020) 15341–15359. [Google Scholar]
M. Rahaman, S.P. Mondal, S. Alam, N.A. Khan and A. Biswas, Interpretation of exact solution for fuzzy fractional non-homogeneous differential equation under the Riemann-Liouville sense and its application on the inventory management control problem. Granul. Comput. 6 (2021) 953–976. [Google Scholar]
M. Rahaman, S.P. Mondal, S. Alam and A. Goswami, Synergetic study of inventory management problem in uncertain environment based on memory and learning effects. Sādhanā 46 (2021) 1–20. [Google Scholar]
S. Salahshour, T. Allahviranloo, S. Abbasbandy and D. Baleanu, Existence and uniqueness results for fractional differential equations with uncertainty. Adv. Diff. Equ. 2012 (2012). DOI: 10.1186/1687-1847-2012-112. [CrossRef] [Google Scholar]
S. Salahshour, T. Allahviranloo and S. Abbasbandy, Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 1372–1381. [Google Scholar]
S.S. Sana, Price sensitive demand and random sales price – a news boy problem. Int. J. Syst. Sci. 43 (2012) 491–498. [Google Scholar]
E. Shekarian, E.U. Olugu, S.H. Abdul-Rashid and N. Kazemi, An economic order quantity modelconsidering different holding costs forimperfect quality items subject to fuzziness and learning. J. Intell. Fuzzy Syst. 30 (2016) 2985–2997. [CrossRef] [Google Scholar]
E. Shekarian, S.H.A. Rashid, E. Bottan and S.K. De, Fuzzy inventory models: a comprehensive review. Appl. Soft Comput. 55 (2017) 588–621. [Google Scholar]
E.A. Silver and H.C. Meal, A heuristic for selecting lot size quantities for the case of a deterministic time varying demand rate and discrete opportunities for replenishment. Prod. Inven. Manag. 14 (1973) 64–74. [Google Scholar]
M. Vujosevic, D. Petrovic and R. Petrovic, Inventory formula when inventory cost is fuzzy. Int. J. Prod. Econ. 45 (1996) 499–504. [Google Scholar]
L.A. Zadeh, Fuzzy sets. Inf. Control 8 (1965) 338–356. [Google Scholar]

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