Slamet Krismanto, Ririn Setiyowati, Sutanto Sutanto


The fourth industrial revolution era requires an effectiveness and efficiency to enforce the industrial activities, one of them, such as minimization of transaction time of dealing that consists of service and delivery time. The purpose of this research is to calculate the industrial profit using dual-channel supply chain model based on the transaction time of dealing by notice disruption risk factor on retailers as the effect of mindset changing of consumers. In this research, we construct the maximization model of profit in the system between manufacture and multi-retailer. Multi-retailer's economical activities have some disruption risk factors on the retail engagement. Furthermore, we determine the optimum solution using Newton method so we get the optimum profit of the system is $620372. That kind of situation is reached when the offered price of manufacturer, retailer 1, and retailer 2 is $318.99, $352.48, and $345.43 respectively with the probability of disruption is 9.15%. Depend on sensitivity analysis of profit system, the profit increase significantly to $1010948. It occur when priority of consumers demand to retailer 1 is missing to 9.3 units per price changing of retailer 2.


applied mathematics;mathematics

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Amanda. J. S. 2011, Strategies For Customer Service Level Protection Under Multi-Echelon Supply Chain Disruption Risk, Journal of Transportation Research Part B, 45 : 1266 – 1283.

Amanda. J. S., and Mahender S. 2012, A Quantitative Analysis Of Disruption Risk In A Multi-Echelon Supply Chain, Winter Simulation Conference, 139 : 22 – 32.

Amanda. J. S., and Mahender S. 2009, Quantifying Supply Chain Disruption Risk Using Monte Carlo And Discrete-Event Simulation, Winter Simulation Conference, Cambridge, United State of America, 1237 – 1248.

Andreja R. 2007, Industry 4.0 Concept: Background And Overview, Journal of European Center for Power Electronics, ed. V 11 : 77 – 90.

Blyth W. F., 1992, Analysis of Numerical Method, Melbourne Victoria 3000 : Royal Melbourne Institute of Technology Ltd.

Chen J., Zhang H., and Sun Y. 2012, Implementing Coordination Contracts In A Manufacturer Stackelberg Dual-Channel Supply Chain, Journal of Business and Economics, 40 : 571 – 583.

Ding Y., Gao X., Shu J., and Yang D. 2017, Service Competition In An Online Duopoly Market, Journal of Management Science and Engineering, 77 : 58 – 72.

Hanyeong K., Yun S. L., and Kun S. P. 2018, The Psychology of Queuing for Self-Service : Reciprocity and Social Pressure, Journal of Administrative Science, 8 : 75 – 90.

Jha J. K. and Shanker K. 2009, Two-Echelon Supply Chain Inventory Model With Controllable Lead Time And Service Level Constraint, Journal of Computers and industrial Engineering, 57 : 1096 – 1104.

Kelei X., Ya X., and Lipan F. 2018, Managing Procurement for a Firm with Two Ordering Opportunities under Supply Disruption Risk, Journal of Sustainability, 10 : 3293 – 3325.

Kumar, N. and Kumar R. 2012, Closed-Loop Supply Chain Management and Reverse Logistics-A Literature Review, Journal of Engineering Research and Technology, 6 (2013) : 455-468.

Milan K., Preetam B., and Balram A. 2018, Pricing And Sourcing Strategies For Competing Retailersin Supply Chains Under Disruption Risk, European Journal of Operations Research, 265 : 533 – 543.

Qiuxiang L., Xingli C., and Yimin H. 2018, Complexity and Entropy Analysis of a Multi-Channel Supply Chain Considering Channel Cooperation and Service, Journal of Entropy, 20 : 970 – 992.

Tadeusz S. 2014, On The Fair Optimization Of Cost And Customer Service Level In A Supply Chain Under Disruption Risks, Journal of Operations Research and Information Technology, 30 : 58 – 66.

Taha H. A., 2007, Operation Research: An Introduction, 8 ed., New Jersey, United State : Upper Saddle River

DOI: http://dx.doi.org/10.12928/admathedu.v10i1.16485


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AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan
P-ISSN: 2088-687X || E-ISSN: 2656-7040
Organized by: Department of Mathematics Education, Faculty of Teacher Training and Education
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