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Abstrakty
In a complex supply chain network, the production nodes, seller nodes, and buyers are connected randomly. We assume a process of joining two random nodes leading to the bivariate Poisson probability mass function. There exist two types of links - one is horizontal (H) and the other is vertical (V), which support the continuous flow of commodities through the supply chain. This induces competition among workers at a node to manage these two types of links within fixed constraints and creates bargaining to decide the optimal degree of both types of links at a node. We use the Nash security point to obtain the bargaining solution describing the optimal links. We reduce the carrying cost and ordering cost of inventory, which are contrary in their nature by introducing horizontal and vertical links, respectively. We modify the total cost function and establish a new economic order quantity (EOQ), optimal shortage quantity, and total optimal cost in terms of the optimal degree of H and V cooperation.
Czasopismo
Rocznik
Tom
Strony
89--104
Opis fizyczny
Bibliuogr. 29 poz., rys.
Twórcy
autor
- Department of Science and Humanities, National Institute of Technology, Nagaland, India
autor
- Department of Science and Humanities, National Institute of Technology, Nagaland, India
autor
- Department of Mathematics, Dibrugarh University, Assam, India
Bibliografia
- [1] Binmore, K. Fun and games. A Text on Game Theory. DC Heath & Co, 1991.
- [2] Brandenburger, A. M., and Stuart Jr, H. W. Value-based business strategy. Journal of Economics & Management Strategy 5, 1 (1996), 5–24.
- [3] Buckley, P., and Casson, M. The Multinational Enterprise Revisited: The Essential Buckley and Casson. Springer, 2009.
- [4] Cruijssen, F., Cools, M., and Dullaert, W. Horizontal cooperation in logistics: opportunities and impediments. Transportation Research Part E: Logistics and Transportation Review 43, 2 (2007), 129–142.
- [5] Drechsel, J. Cooperative lot sizing games in supply chains, vol. 644. Springer Science & Business Media, 2010.
- [6] Duarte, P. F., Chaves, M. A., Borges, C. D., and Mendonça, C. R. B. Avocado: characteristics, health benefits and uses. Ciência Rural 46 (2016), 747–754.
- [7] Essig, M. Purchasing consortia as symbiotic relationships: developing the concept of “consortium sourcing”. European Journal of Purchasing & Supply Management 6, 1 (2000), 13–22.
- [8] Fiestras-Janeiro, M. G., García-Jurado, I., Meca, A., and Mosquera, M. A. Cooperative game theory and inventory management. European Journal of Operational Research 210, 3 (2011), 459–466.
- [9] Goemans, M. X., and Skutella, M. Cooperative facility location games. Journal of Algorithms 50, 2 (2004), 194–214.
- [10] Hafezalkotob, A., Chaharbaghi, S., and Lakeh, T. M. Cooperative aggregate production planning: a game theory approach. Journal of Industrial Engineering International 15, 1 (2019), 19–37.
- [11] Heijboer, G. Allocating savings in purchasing consortia; analysing solutions from a game theoretic perspective. In Proceedings of the 11th International Annual IPSERA Conference (2002), pp. 25–27.
- [12] Hendalianpour, A. Optimal lot-size and price of perishable goods: a novel game-theoretic model using double interval grey numbers. Computers & Industrial Engineering 149 (2020), 106780.
- [13] Hendalianpour, A., Fakhrabadi, M., Sangari, M. S., and Razmi, J. A combined Benders decomposition and Lagrangian relaxation algorithm for optimizing a multi-product, multi-level omni-channel distribution system. Scientia Iranica 29, 1 (2022), 355–371.
- [14] Hendalianpour, A., Hamzehlou, M., Feylizadeh, M. R., Xie, N., and Shakerizadeh, M. H. Coordination and competition in two-echelon supply chain using grey revenue-sharing contracts. Grey Systems: Theory and Application 11, 4 (2020), 681–706.
- [15] Johnson, P. F. The pattern of evolution in public sector purchasing consortia. International journal of logistics: Research and applications 2, 1 (1999), 57–73.
- [16] Kawamura, K. The structure of bivariate poisson distribution. In Kodai Mathematical Seminar Reports (1973), vol. 25, Department of Mathematics, Tokyo Institute of Technology, pp. 246–256.
- [17] Liu, P., and Hendalianpour, A. A branch & cut/metaheuristic optimization of financial supply chain based on input-output network flows: investigating the iranian orthopedic footwear. Journal of Intelligent & Fuzzy Systems, Preprint, 1–19.
- [18] Liu, P., Hendalianpour, A., Fakhrabadi, M., and Feylizadeh, M. R. Integrating IVFRN-BWM and goal programming to allocate the order quantity considering discount for green supplier. International Journal of Fuzzy Systems 24, 2 (2022), 989–1011.
- [19] Liu, P., Hendalianpour, A., and Hamzehlou, M. Pricing model of two-echelon supply chain for substitutable products based on double-interval grey-numbers. Journal of Intelligent & Fuzzy Systems 40, 5 (2021), 8939–8961.
- [20] Lozano, S., Moreno, P., Adenso-Díaz, B., and Algaba, E. Cooperative game theory approach to allocating benefits of horizontal cooperation. European Journal of Operational Research 229, 2 (2013), 444–452.
- [21] Mishra, P. P., Poongodi, T., Yadav, S. K., and Mishra, S. S. Algorithmic approach to time-cost analysis of queued commodity flowing through critical path. International Journal of Mathematics in Operational Research 18, 2 (2021), 169–186.
- [22] Pan, S., Trentesaux, D., Ballot, E., and Huang, G. Q. Horizontal collaborative transport: survey of solutions and practical implementation issues. International Journal of Production Research 57, 15-16 (2019), 5340–5361.
- [23] Schotanus, F. Horizontal cooperative purchasing. PhD thesis, University of Twente, Enschede, the Netherlands, 2007.
- [24] Thun, J.-H. The potential of cooperative game theory for supply chain management. In Research Methodologies in Supply Chain Management, H. Kotzab, M. Seuring, G. Müller, and G. Reiner, Eds. Physica-Verlag HD, 2005, pp. 477–491.
- [25] Van Diepen, R. M., Foxe, J. J., and Mazaheri, A. The functional role of alpha-band activity in attentional processing: the current zeitgeist and future outlook. Current Opinion in Psychology 29 (2019), 229–238.
- [26] Vasnani, N. N., Chua, F. L. S., Ocampo, L. A., and Pacio, L. B. M. Game theory in supply chain management: Current trends and applications. International Journal of Applied Decision Sciences 12, 1 (2019), 56–97.
- [27] Wankmüller, C., Kunovjanek, M., Sposato, R. G., and Reiner, G. Selecting e-mobility transport solutions for mountain rescue operations. Energies 13, 24 (2020), 6613.
- [28] Yang, L., Zhang, Q., and Ji, J. Pricing and carbon emission reduction decisions in supply chains with vertical and horizontal cooperation. International Journal of Production Economics 191 (2017), 286–297.
- [29] Yu, Y., Lou, Q., Tang, J., Wang, J., and Yue, X. An exact decomposition method to save trips in cooperative pickup and delivery based on scheduled trips and profit distribution. Computers & Operations Research 87 (2017), 245–257.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
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