Abstract
In this paper, we made an investigation about an uncertain interval supply chain network model with risk and visibility (UISCNMwRV). We consider the available budget for supply chain visibility, production capacity, cost of reducing supply risk, cost of enhancing supply chain visibility, demand for each product in each period, the expected value of demand, minimum order quantity, purchase price, the impact of supply risk, supply risk, maximum allowable supply risk, supply chain visibility, minimum visibility are uncertain interval parameters for the effect of resenting pandemic COVID-19. To model the proposed UISCNMwRV, we have developed two different models namely the expected value model (EV model) and the chance-constrained model (CC model) using uncertain interval programming techniques. These two models are formulated under the framework of uncertain interval theory. Then, the equivalent deterministic transformations of these models are formulated and are solved in two different methods namely goal programming method and linear weighted method. Finally, a real-life example of the UISCNMwRV is included to show the effectiveness and usefulness of our proposed study.
Similar content being viewed by others
Data availability
Enquiries about data availability should be directed to the authors.
References
Alefeld G, Herzberger J (1983) Introduction to interval computations. Academic Press, New York
Asim Z, Jalil SA, Javaid S (2019) An uncertain model for integrated production-transportation closed-loop supply chain network with cost reliability. Sustain Prod Consum 17:298–310
Ayadi O, Felfel H, Masmoudi F (2016) Multi-objective stochastic multi-site supply chain planning under demand uncertainty considering downside risk. Comput Ind Eng 102:268–279
Barlett PA, Julien DM, Baines TS (2007) Improving supply chain performance through improved visibility. Int J Logist Manag 18:294–313
Caridi M, Moretto A, Perego A, Tumino A (2014) The benefits of supply chain visibility: a value assessment model. Int J Prod Econ 151:1–19
Charnes A, Cooper WW (1959) Chance-constrained Programming. Manage Sci 6:73–79
Chen YW, Yiu CB, Wong K (2020) Prediction of the SARS-CoV-2 (2019-nCoV) 3C-like protease (3CL pro) structure: virtual screening reveals velpatasvir, ledipasvir, and other drug repurposing candidates. F1000 Res 9:129
Ding S (2018) Belief degree of optimal models for uncertain single-period supply chain problem. Soft Comput 22:5879–5887
Ellrama Lisa M, Murfield Ueltschy Monique L (2019) Supply chain management in industrial marketing-Relationships matter. Ind Mark Manag 79:36–45
Elzarka SM (2013) Supply chain risk management: the lessons learned from the Egyptian revolution. Int J Logist 16:482–492
Gao J, Yang X, Liu D (2017) Uncertain Shapley value of coalitional game with application to supply chain alliance. Appl Soft Comput 56:551–556
Garai T, Roy TK (2020) Multi-objective optimization of cost-effective and customer-centric closed-loop supply chain management model in T-environment. Soft Comput 24:155–178
Ghadge A, Dani S, Kalawsky R (2012) Supply chain risk management: present and future scope. Int J Logist Manag 23:313–339
Goodarzian F, Kumar V, Abraham A (2021) Hybrid meta-heuristic algorithms for a supply chain network considering different carbon emission regulations using big data characteristics. Soft Comput 25:7527–7557
Guo H, Zhou Y, Liu X, Tan J (2020) The impact of the COVID-19 epidemic on the utilization of emergency dental services. J Dental Sci. https://doi.org/10.1016/j.jds.2020.02.002
Harland C, Brenchley R, Walker H (2003) Risk in supply networks. J Purch Supply Manag 9:51–62
Hu BQ, Wang S (2006) A novel approach in uncertain programming part I: new arithmetic and order relation for interval numbers. J Ind Manag Optim 2(4):351–371
Huner D, Larsoon T, Wagner SM, Christ A (2014) Costly supply chain disruptions. Ind Eng 46:32–37
Jafarian E, Razmi J, Tavakkoli-Moghaddam R (2019) Forward and reverse flows pricing decisions for two competing supply chains with common collection centers in an intuitionistic fuzzy environment. Soft Comput 23:7865–7888
Jana DK, Sahoo P, Koczy LT (2017) Comparative study on credibility measures of type-2 and type-1 fuzzy variables and their application to a multi-objective profit transportation problem via goal programming. Int J Transp Sci Technol 6:110–126
Jana DK, Pramanik S, Sahoo P, Mukherjee A (2017) Type-2 fuzzy logic and its application to occupational safety risk performance in industries. Soft Comput 23:557–567
Koberg E, Longoni A (2019) A systematic review of sustainable supply chain management in global supply chains. J Clean Prod 207:1084–1098
Lau AH, Lau H, Willett KD (2000) Demand uncertainty and returns policies for a seasonal product: an alternative model. Int J Prod Econ 66:1–12
Liu B (1999) Uncertain programing. Wiley, New York
Liu B (2002) Theory and practice of uncertain programming. Springer, Berlin
Liu B (2007) Uncertainty theory, 2nd edn. Springer, Berlin
Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10
Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, Berlin
Liu YH, Ha MH (2010) Expected value of function of uncertain variables. J Uncertain System 4(3):181–186
Luo H, Liu L, Yang X (2020) Bi-level programming problem in the supply chain and its solution algorithm. Soft Comput 24:2703–2714
Min H, Zhou G (2002) Supply chain modelling: past, present and future. Comput Ind Eng 43:231–249
Mohebalizadehgashti F, Zolfagharinia H, Hassanzadeh Amin S (2020) Designing a green meat supply chain network: a multi-objective approach. Int J Prod Econ 219:312–327
Moore RE (1979) Methods and applications of interval analysis. SIAM, Philadephia
Musavi MM, Amiri AB (2017) A multi-objective sustainable hub location-scheduling problem for perishable food supply chain. Comput Ind Eng 113:766–778
Nooraiea SV, Parast MM (2015) A multi-objective approach to supply chain risk management: integrating visibility with supply and demand risk. Int J Prod Econ 161:192–200
Pakhira N, Maiti MK, Maiti M (2018) Uncertain multi-item supply chain with two level trade credit under promotional cost sharing. Comput Ind Eng 118:451–463
Pramanik S, Jana DK, Mondal SK, Maiti M (2015) A fixed-charge transportation problem in two-stage supply chain network in Gaussian type-2 fuzzy environments. Inf Sci 325:190–214
Sahoo P, Jana DK, Panigrahi G (2019) Interval type-2 fuzzy logic and its application to profit maximization solid transportation problem in mustard oil industry. Recent Adv Intell Inf Syst Appl Math 863:18–29
Sahoo P, Jana DK, Pramanik S, Panigrahi G (2020) Uncertain four-dimensional multi-objective multi-item transportation models via GP technique. Soft Comput 24:17291–17307
Sahoo P, Jana DK, Pramanik S, Panigrahi G (2021) A novel reduction method for type-2 uncertain normal critical values and its applications on 4D profit transportation problem involving damageable and substitute items. Int J Appl Comput Math 7:123
Sanei M, Mahmoodirad A, Niroomand S (2016) Two-stage supply chain network design problem with interval data. Int J e-Navigation Maritime Econ 5:074–084
Sarkar B, Omair M, Kim N (2020) A cooperative advertising collaboration policy in supply chain management under uncertain conditions. Appl Soft Comput J 88:105948
Sarkodie SA, Owusu PA (2020) Investigating the cases of novel coronavirus disease (COVID-19) in China using dynamic statistical techniques. Available at SSRN 3559456
Shen J (2020) An environmental supply chain network under uncertainty. Phys A 542:123478
Shen J (2020) An uncertain sustainable supply chain network. Appl Math Comput 378:125213
Smaros J, Lehtonen JM, Appelqvist P, Holmstrom J (2003) The impact of increasing demand visibility on production and inventory control efficiency. Int J Phys Distrib Logist Manag 33:336–354
Sodhi MS, Son BG, Tang CS (2008) What employers demand from applicant for MBA-level supply chain jobs and the coverage of supply chain topics in MBA courses. Interfaces 38:469–484
Sodhi MS, Son BG, Tang CS (2012) Researchers’ perspectives on supply chain risk management. Prod Oper Manag 21:1–13
Sohrabi C, Alsafi Z, O’Neill N, Khan M, Kerwan A, Al-Jabir A, Agha R (2020) World Health Organization declares global emergency: a review of the 2019 novel coronavirus (COVID-19). Int J Surg 76:71–76
Taleizadeh AA, Akhavan Niaki ST, Barzinpour F (2011) Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: a harmony search algorithm. Appl Math Comput 217:9234–9253
Tang CS (2006) Perspectives in supply chain risk management. Int J Prod Econ 103:451–488
Vilko J, Ritala P, Hallikas J (2019) Risk management abilities in multimodal maritime supply chains: visibility and control perspectives. Accid Anal Prev 123:469–481
Yang X, Jing F, Ma N, Nie F (2020) Supply chain pricing and effort decisions with the participants’ belief under the uncertain demand. Soft Comput 24:6483–6497
Yu M, Goh M (2014) A multi-objective approach to supply chain visibility and risk. Eur J Oper Res 233:125–130
Zhang AN, Goh M, Meng F (2010) Conceptual modeling for supply chain visibility. Int J Prod Econ 133(2):578–585
Funding
The authors have not disclosed any funding.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sahoo, P., Jana, D.K., Pramanik, S. et al. The effect of COVID-19 pandemic on uncertain supply chain model with risk and visibility via expected value and chance constraint techniques. Soft Comput 27, 18739–18764 (2023). https://doi.org/10.1007/s00500-023-09139-z
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-023-09139-z