Chính sách tồn kho cho các sản phẩm theo mùa với tỷ lệ cầu tăng trưởng logistic dưới sự trì hoãn thanh toán hoàn toàn cho phép: Một phương pháp tối ưu hóa neutrosophic

Soft Computing - Tập 25 - Trang 3725-3750 - 2020
Bappa Mondal1, Arindam Garai2, Arindum Mukhopadhyay3, Sanat Kumar Majumder1
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
2Department of Mathematics, Sonarpur Mahavidyalaya, Kolkata, India
3Operations and Quantitative Methods, IIM Shilong, Shilong, India

Tóm tắt

Nghiên cứu hiện tại điều tra một hệ thống tồn kho cho các sản phẩm theo mùa dưới tỷ lệ cầu biến thiên và việc đặt hàng một phần trong một thị trường cạnh tranh. Trong số các hàm tỷ lệ cầu khác nhau được sử dụng trong tài liệu hiện có về mô hình số lượng đặt hàng kinh tế (EOQ), hàm tăng trưởng logistic được biết đến nhiều nhất để ước lượng thị trường đã bị chiếm đóng và phần thị trường còn lại cần phải chiếm giữ bởi các mặt hàng theo mùa và công nghệ mới. Phân phối Weibull rất tốt để đại diện cho tính mùa vụ và tính linh hoạt của những sản phẩm này. Vì sự miễn cưỡng của các nhà bán lẻ trong việc mua và lưu trữ các sản phẩm dễ hỏng này, nhà cung cấp đề nghị hoãn thanh toán. Dựa trên những điều trên, mô hình EOQ được đề xuất cho những mặt hàng này xem xét tỷ lệ cầu tăng trưởng logistic, tỷ lệ suy giảm phân phối Weibull và đặt hàng một phần cùng với việc hoãn thanh toán hoàn toàn cho phép. Vì tập neutrosophic định lượng thông tin không chính xác trong các tình huống thực tế, mô hình EOQ được đề xuất được tối ưu hóa trong môi trường neutrosophic. Một mô hình toán học phi tuyến không ràng buộc chung với các hệ số neutrosophic được tối ưu hóa bằng cách sử dụng hàm trung bình số học có trọng số, với điều kiện phải tuân theo chuẩn neutrosophic đã xác định. Một trường hợp đặc biệt với chuẩn liên hợp neutrosophic cùng với bốn lemmata được xem xét nhằm tối thiểu hóa các hàm chi phí với các hệ số neutrosophic cho mô hình EOQ được đề xuất qua các khoảng thời gian tín dụng thương mại khác nhau. Tại đây, các thông tin quản lý được xác định thông qua phân tích độ nhạy khuyến nghị giảm chi phí cho các chương trình khuyến mại sớm nhằm giảm bớt nhu cầu vào đầu chu kỳ. Hơn nữa, nghiên cứu hiện tại cho thấy thời gian cạn kiệt tồn kho tối ưu phụ thuộc vào nhu cầu trong thời gian thiếu hụt trong môi trường neutrosophic.

Từ khóa

#hệ thống tồn kho #sản phẩm theo mùa #tỷ lệ cầu tăng trưởng logistic #phân phối Weibull #tối ưu hóa neutrosophic #đặt hàng một phần

Tài liệu tham khảo

Barrón LEC, Shaikh AA, Tiwari S, Garza GT (2018) An EOQ inventory model with nonlinear stock dependent holding cost, nonlinear stock dependent demand and trade-credit. Comput Ind Eng. https://doi.org/10.1016/j.cie.2018.12.004 Braglia M, Castellano D, Marrazzini L, Song D (2019) A continuous review, (Q, r) inventory model for a deteriorating item with random demand and positive lead time. Comput Oper Res 109:102–121 Carrabs F, Cerulli R, Festa P, Laureana F (2017) On the forward shortest path tour problem. In: International conference on optimization and decision science. Springer, Cham, pp 529–537 Chakraborty D, Jana DK, Roy TK (2018) Two-warehouse partial backlogging inventory model with ramp type demand rate, three-parameter Weibull distribution deterioration under inflation and permissible delay in payments. Comput Ind Eng 123:157–179 Chang KH (2019) A novel supplier selection method that integrates the intuitionistic fuzzy weighted averaging method and a soft set with imprecise data. Ann Oper Res 272(1–2):139–157 Chen L, Chen X, Keblis MF, Li G (2018) Optimal pricing and replenishment policy for deteriorating inventory under stock-level-dependent, time-varying and price-dependent demand. Comput Ind Eng. https://doi.org/10.1016/j.cie.2018.06.005 Das SK, Islam S (2019) Fuzzy multi item inventory model with deterioration and demand dependent production cost under space constraint: neutrosophic hesitant fuzzy programming approch. Neutrosophic Sets Syst 28:281–294 Deli I, Şubaş Y (2017) A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems. Int J Mach Learn Cybern 8(4):1309–1322 Dey BK, Sarkar B, Sarkar M, Pareek S (2019) An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment. RAIRO Oper Res 53(1):39–57 Dye CY, Yang CT (2016) Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects. Omega 62:52–67 Franciosi C, Carrabs F, Cerulli R, Miranda S (2017) An evolutionary approach for the offsetting inventory cycle problem. Cogent Eng 4(1):1370764 Garai A, Mandal P, Roy TK (2020) Iterative solution process for multiple objective stochastic linear programming problems under fuzzy environment. Fuzzy Inf Eng 1–17 Garai A, Roy TK (2020) Multi-objective optimization of cost-effective and customer-centric closed-loop supply chain management model in T-environment. Soft Comput 24(1):155–178 Garai T, Chakraborty D, Roy TK (2019) A fuzzy rough multi-objective multi-item inventory model with both stock-dependent demand and holding cost rate. Granul Comput 4(1):71–88 Ghandehari M, Dezhtaherian M (2019) An EOQ model for deteriorating items with partial backlogging and financial considerations. Int J Serv Oper Manag 32(3):269–284 Goyal SK (1985) Economic order quantity under conditions of permissible delay in payments. J Oper Res Soc 36(4):335–338 Harris FM (1913) How many parts to make at once. Fact Mag Manag 10(2):135–136 Hossen MA, Hakim MA, Ahmed SS, Uddin MS (2016) Annals of an inventory model with price and time dependent demand with fuzzy valued inventory costs under inflation. Ann Pure Appl Math 11(2):21–32 Jaggi CK, Yadavalli VSS, Verma M, Sharma A (2015) An EOQ model with allowable shortage under trade-credit in different scenario. Appl Math Comput 252:541–551 Khanra S, Ghosh SK, Chaudhuri KS (2011) An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment. Appl Math Comput 218(1):1–9 Khanra S, Mandal B, Sarkar B (2013) An inventory model with time dependent demand and shortages under trade credit policy. Econ Model 35:349–355 Kheiri Z, Cao BY (2016) Posynomial geometric programming with intuitionistic fuzzy coefficients. In: Fuzzy systems & operations research and management. Springer, Cham, pp 15–30 Kumar BK, Nagaraju D, Narayanan S, Kumar KK, Rao AR (2018) Coordinated two-echelon inventory model for optimal inventory and shipment decisions under exponential price dependent demand. Mater Today Proc 5:12356–12367 Kumar N, Kumar S (2016) Effect of learning and salvage worth on an inventory model for deteriorating items with inventory-dependent demand rate and partial backlogging with capability constraints. Uncertain Supply Chain Manag 4(2):123–136 Lin F, Jia T, Wu F, Yang Z (2019) Impacts of two-stage deterioration on an integrated inventory model under trade credit and variable capacity utilization. Eur J Oper Res 272(1):219–234 Lin J (2013) A demand independent inventory model. Yugosl J Oper Res 23(1):129–135 Mahmoodi A (2019) Joint pricing and inventory control of duopoly retailers with deteriorating items and linear demand. Comput Ind Eng 132:36–46 Malik AI, Sarkar B (2020) Coordination supply chain management under flexible manufacturing, stochastic lead time demand, and mixture of inventory. Mathematics 8(6):911 Mishra U, Waliv RH, Umap HP (2019) Optimizing of multi-objective inventory model by different fuzzy techniques. Int J Appl Comput Math 5(5):136 Mondal B, Garai A, Roy TK (2018) Optimization of EOQ model with space constraint: an intuitionistic fuzzy geometric programming approach. Notes Inst Fuzzy Sets 24(4):172–189 Mondal B, Garai A, Roy TK (2019) Optimization of generalized order level inventory system under fully permissible delay in payment. RAIRO Oper Res. https://doi.org/10.1051/ro/2019079 Mondal B, Kar C, Garai A, Roy TK (2018) Optimization of EOQ model with limited storage capacity by neutrosophic geometric programming. Neutrosophic Sets Syst 22:5–29 Mukhopadhyay A (2020) Transportation-inventory model for electronic markets under time varying demand, retailer’s incentives and product exchange scheme. In: Optimization and inventory management. asset analytics (performance and safety management. Springer, Singapore, pp 407–425 Mullai M, Surya R (2018) Neutrosophic EOQ model with price break. Neutrosophic Sets Syst 19:24–28 Pal B (2018) Optimal production model with quality sensitive market demand, partial backlogging and permissible delay in payment. RAIRO Oper Res 52(2):499–512 Pal S, Mahapatra GS, Samanta GP (2014) An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment. Int J Prod Econ 156:15–166 Pando V, San-José LA, Laguna JG, Sicilia J (2018) Optimal lot-size policy for deteriorating items with stock-dependent demand considering profit maximization. Comput Ind Eng 117:81–93 Pramanik P, Maiti MK (2020) Trade credit policy of an inventory model with imprecise variable demand: an ABC-GA approach. Soft Comput 24:9857–9874 Rajan RS, Uthayakumar R (2017) Analysis and optimization of an EOQ inventory model with promotional efforts and backordering under delay in payments. J Manag Anal 4(2):159–181 Rezaei J (2014) Economic order quantity for growing items. Int J Prod Econ 155(1):109–113 San-José LA, Siciliay J, Pablo DAL (2018) An inventory system with demand dependent on both time and price assuming backlogged shortages. Eur J Oper Res 270(3):889–897 Sanni S, O’Neill B (2019) Inventory optimisation in a three-parameter Weibull model under a prepayment system. Comput Ind Eng 128:298–304 Sarkar B (2012) An EOQ model with delay in payments and time varying deterioration rate. Math Comput Model 55(3–4):367–377 Sarkar B (2013) A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Appl Math Model 37(5):3138–3151 Sarkar B, Dey BK, Sarkar M, Hur S, Mandal B, Dhaka V (2019) Optimal replenishment decision for retailer with variable demand for deteriorating products under trade-credit policy. RAIRO Oper Res. https://doi.org/10.1051/ro/2019100 Sarkar B, Mahapatra AS (2017) Periodic review fuzzy inventory model with variable lead time and fuzzy demand. Int Trans Oper Res 24(5):1197–1227 Sarkar B, Mandal B, Sarkar S (2017) Preservation of deteriorating seasonal products with stock-dependent consumption rate and shortages. J Ind Manag Optim 13(1):187–206 Sarkar B, Saren S (2017) Ordering and transfer policy and variable deterioration for a warehouse model. Hacettepe J Math Stat 46(5):985–1014 Sarkar B, Saren S, Barrón LEC (2015) An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann Oper Res 229(1):677–702 Sarkar B, Saren S, Wee HM (2013) An inventory model with variable demand, component cost and selling price for deteriorating items. Econ Model 30:306–310 Sarkar B, Sarkar S (2013) An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Econ Model 30:924–932 Sarkar B, Sarkar S (2013) Variable deterioration and demand—an inventory model. Econ Model 31:548–556 Sarkar B, Sarkar S, Yun WY (2016) Retailer’s optimal strategy for fixed lifetime products. Int J Mach Learn Cybern 7(1):121–133 Sarkar B, Omair M, Kim N (2020) A cooperative advertising collaboration policy in supply chain management under uncertain conditions. Appl Soft Comput 88:105984 Sarkar M, Sarkar B (2013) An economic manufacturing quantity model with probabilistic deterioration in a production system. Econ Model 31:245–252 Sarma D, Das A, Bera UK, Hezam IM (2019) Redistribution for cost minimization in disaster management under uncertainty with trapezoidal neutrosophic number. Comput Ind 109:226–238 Sebatjane M, Adetunji O (2019) Economic order quantity model for growing items with incremental quantity discounts. J Ind Eng Int 15:545–556 Sen N, Saha S (2018) An inventory model for deteriorating items with time dependent holding cost and shortages under permissible delay in payment. Int J Procure Manag 11(4):518–531 Skouri K (2018) An EOQ model with backlog-dependent demand. Oper Res Int J 18(2):561–574 Skouri K, Konstantaras I, Papachristos S, Ganas I (2009) Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate. Eur J Oper Res 192(1):79–92 Smarandache F (2005) Neutrosophic set, a generalization of the intuitionistic fuzzy set. Int J Pure Appl Math 24(3):287–297 Smarandache F (2010) N-norm and N-conorm in neutrosophic logic and set, and the neutrosophic topologies. arXiv preprint arXiv:0901.1289 Soni HN, Sarkar B, Mahapatra AS, Mazumder SK (2018) Lost sales reduction and quality improvement with variable lead time and fuzzy costs in an imperfect production system. RAIRO Oper Res 52(3):819–837 Soni HN, Suthar SN (2019) EOQ model of deteriorating items for fuzzy demand and learning in fuzziness with finite horizon. J Control Decis 11:1–4 Soysal M, Bloemhof-Ruwaard JM, Haijema R, van der Vorst JG (2015) Modeling an inventory routing problem for perishable products with environmental considerations and demand uncertainty. Int J Prod Econ 164(1):118–133 Taleizadeh AA, Nematollahi M (2014) An inventory control problem for deteriorating items with backordering and financial considerations. Appl Math Model 38(1):93–109 Taleizadeh A A, Pourmohammad-Zia N, Konstantaras I (2019) Partial linked-to-order delayed payment and life time effects on decaying items ordering. Oper Res 1–23 Tayyab M, Sarkar B, Yahya BN (2019) Imperfect multi-stage lean manufacturing system with rework under fuzzy demand. Mathematics 7(1):13 Tiwari S, Ahmed W, Sarkar B (2019) Sustainable ordering policies for non-instantaneous deteriorating items under carbon emission and multi-trade-credit-policies. J Clean Prod 240:118183 Tsoularis A (2014) Deterministic and stochastic optimal inventory control with logistic stock-dependent demand rate. Int J Math Oper Res 6(1):41–69 Ullah M, Sarkar B, Asghar I (2019) Effects of preservation technology investment on waste generation in a two-echelon supply chain model. Mathematics 7(2):189 Verhulst PF (1838) Notice sur la loi que la population suit dans son accroissement. Corresp Math Phys 10:113–126 Wang H, Smarandache F, Zhang Y, Sunderraman R (2010) Single valued neutrosophic sets. Infinite Study 10–14 Wang L, Chen Z, Chen M, Zhang R (2019) Inventory policy for a deteriorating item with time-varying demand under trade credit and inflation. J Syst Sci Inf 7(2):115–133 Wu J, Teng JT, Skouri K (2017) Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits. Ann Oper Res 264(1–2):459–476 Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353