Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Sensitivity analysis of parameters is usually more important than the optimal solution when it comes to linear programming. Nevertheless, in the analysis of traditional sensitivities for a coefficient, a range of changes is found to maintain the optimal solution. These changes can be functional constraints in the coefficients, such as good values or technical coefficients, of the objective function. When real-world problems are highly inaccurate due to limited data and limited information, the method of grey systems is used to perform the needed optimisation. Several algorithms for solving grey linear programming have been developed to entertain involved inaccuracies in the model parameters; these methods are complex and require much computational time. In this paper, the sensitivity of a series of grey linear programming problems is analysed by using the definitions and operators of grey numbers. Also, uncertainties in parameters are preserved in the solutions obtained from the sensitivity analysis. To evaluate the efficiency and importance of the developed method, an applied numerical example is solved.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
5--33
Opis fizyczny
Bibliogr. 39 poz., rys.
Twórcy
autor
- Department of Mathematics, Assam University, Silchar Dorgakona, Silchar – 788011, Cachar Assam, India
autor
- Department of Mathematics, Assam University, Silchar Dorgakona, Silchar – 788011, Cachar Assam, India
Bibliografia
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- [8] DARYANTO Y., CHRISTATA R.B., Optimal order quantity considering carbon emission costs, defective items and partial backorder, Unc. Sup. Chain Manage., 2021, 9 (2), 307–316.
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- [10] DAS S.C., MANNA A.K., RAHMAN M.S., SHAIKH A.A., An inventory model for non-instantaneous deteriorating items with preservation technology and multiple credit periods-based trade credit financing via particle swarm optimization, Soft Comp., 2021, 25, 5365–5384.
- [11] DUTTA T.K., NATH P., CHOUDHURY K.D., A hybrid carbon policy inventory model with emission source-based green investments, Opsearch, 2019, DOI: 10.1007/s12597-019-00430-y.
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- [16] GHOSH P.K., MANNA A.K., DEY J.K., KAR S., Supply chain coordination model for green product with defferent payment strategies: A game theoretic approach, J. Clean. Prod., 2021, 290, 125734.
- [17] HASAN M.R., MASHUD A.H., DARYANTO Y., WEE H.M., A non-instantaneous inventory model of agricultural products considering deteriorating impacts and pricing policies, Kybern., 2021, 50, 2264–2288, DOI: 10.1108/K-05-2020-0288.
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- [21] MANNA A.K.,BENERJEE T., MONDAL S.P., SHAIKH A.A.,BHUNIA A.K., Two-plant production model with customer’s demand dependent on warranty period of the product and carbon emission level of the manufacturing via different meta-heuristic algorithms, Neural Comp. Appl., DOI: 10.1007/s00521-021 -06073-9.
- [22] MISHRA U., MASHUD U., TSENG M.-L., WU J.-Z., Optimizing a sustainable supply chain inventory model for controllable deterioration and emission rates in a greenhouse farm, Math., 2020 9 (5), 495.
- [23] MASHUD A.H.M., ROY D., DARYANTO Y., WEE H.M., Joint pricing deteriorating inventory model considering product life cycle and advance payment with a discount facility, RAIRO Oper. Res., 2021, 55, S1069–S1088.
- [24] MASHUD A.H.M., DIPA R., DARYANTO Y., ALI M.H., A sustainable inventory model with imperfect products, deterioration, and controllable emissions, Math., 2020, 8 (2049), 1–21.
- [25] MASHUD A.H.M., HASAN R., DARYANTO Y., WEE H.M., A resilient hybrid payment supply chain inventory model for post Covid-19 recovery, Comp. Ind. Eng., 2021, 8 (11), 107249, 1–15.
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- [30] RAHMAN M.S., DUARY A., SHAIKH A.A., BHUNIA K.A., An application of parametric approach for interval differential equation in inventory model for deteriorating items with selling-price-dependent demand, Neur. Comp. Appl., 2020, 32, 1409–1485, DOI: 10.1007/s00521-020-04806.
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- [33] SHAIKH A.A., MASHUD A., KHAN M.A.-A., Non-instantaneous deterioration inventory model with price and stock dependent demand for fully backlogged shortages under inflation, Int. J. Bus. Forec.Mark. Int., 2017, 3 (2),152–164.
- [34] SHEN Y., SHEN K., YANG C., A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax, Sust., 2019, 11 (5027), 1–18.
- [35] SINGH R., KUMAR A., YADAV D., Effect of carbon emission on multi-stage economic order quantity model with backlogging under fuzzy environment, AIP Conf. Proc., 2020, 2253, 020007-1-020007-14, DOI: 10.1063/5.0020358.
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- [39] WESCOTT W.F., LORETI C.P., ISENBERG M.A., An overview of greenhouse gas emissions inventory issues, Pew Centre on Global Climate Change, Arthur D. Little, Inc., Cambridge, MA, 2000, 1–59.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-412762e0-6b05-4d70-bbd2-44aa34633ee5