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The Interval-data Robust Balance Point Problem on Trees with Vanishing Balance Objective

Năm XB 2024 Tạp chí / Hội thảo Lecture Notes in Networks and Systems Volume 1205 LNNS Đơn vị CNTT DOI / Link https://doi.org/10.1007/978-3-031-80943-9_45 ↗

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Tóm tắt

This paper addresses the robust balance point problem on a tree with interval data of vertex weights and edge lengths, the vanishing balance objective function on trees is defined to avoid the hardness of computing the classical balance value. We first show that the...

Tài liệu tham khảo

[1] Aron, I., Van Hentenryck, P.: On the complexity of the robust spanning tree problem with interval data. Oper. Res. Lett. 32, 36–40 (2003)

[2] Averbakh, I., Berman, O.: Minmax regret median location on a network under uncertainty. INFORMS J. Comput. 12, 104–110 (2000)

[3] Averbakha, I., Bereg, S.: Facility location problems with uncertainty on the plane. Discret. Optim. 2, 3–34 (2005)

[4] Averbakh, I., Lebedevb, V.: Interval data minmax regret network optimization problems. Discret. Appl. Math. 138, 289–301 (2004)

[5] Bachtler, O., Krumke, S.O., Le, H.M.: Robust single machine makespan scheduling with release date uncertainty. Oper. Res. Lett. 48, 816–819 (2020)

[6] Ben-Tal, A., Nemirovski, A., El-Ghaoui, L.: Robust Optimization. Princeton University Press, Princeton (2009)

[7] Bhattacharya, B., Kameda, T., Song, Z.: A linear time algorithm for computing minmax regret 1-median on a tree network. Algorithmica 70, 2–21 (2014)

[8] Burkard, R.E., Dollani, H.: Robust location problems with pos/neg weights on a tree. Networks 38, 102–113 (2001)

[9] Chassein, A., Goerigk, M.: Variable-sized uncertainty and inverse problems in robust optimization. Eur. J. Oper. Res. 264, 17–28 (2018)

[10] Chen, B., Lin, C.S.: Minmax-regret robust 1-median location on a tree. Networks 31, 93–103 (1998)

[11] Conde, E.: A note on the minmax regret centdian location on trees. Oper. Res. Lett. 36, 271–275 (2008)

[12] Davoodi, M.: k-balanced center location problem: a new multi-objective facility location problem. Comput. Oper. Res. 105, 68–84 (2019)

[13] Drezner, Z., Hamacher, H.W.: Facility Location - Applications and Theory. Springer, Heidelberg (2002)

[14] Drwal, M.: Min-max regret scheduling to minimize the total weight of late jobs with interval uncertainty. In: International Conference on Optimization and Decision Science 2017, pp. 611–619 (2017)

[15] Galavec, M., Hudec, O.: Balanced location on a graph. Optimization 35, 367–372 (1995)

[16] Ghobadi, K., Lee, T., Mahmoudzadeh, H., Terekhov, D.: Robust inverse optimization. Oper. Res. Lett. 46, 339–344 (2018)

[17] Kasperski, A., Makuchowski, M., Zieliński, P.: A tabu search algorithm for the minimax regret minimum spanning tree problem with interval data. J. Heuristics 18(4), 593–625 (2012)

[18] Kasperski, A., Zieliński, P.: Minmax (regret) scheduling problems. In: Sotskov, Y.N., Werner, F. (eds.) Book in Applied Statistica Science: Sequencing and Scheduling with Inaccurate Data. Nova Science Publishers, New York (2014)

[19] Kouvelis, P., Yu, G.: Robust Discrete Optimization and Its Applications. Kluwer Academic Publishers, Hingham (1997)

[20] Liao, W., Fu, Y.: Min-max regret criterion-based robust model for the permutation flow-shop scheduling problem. Eng. Optim. 52, 687–700 (2020)

[21] Montemanni, R., Gambardella, L.M.: An exact algorithm for the robust shortest path problem with interval data. Comput. Oper. Res. 31, 1667–1680 (2004)

[22] Montemanni, R., Gambardella, L.M.: A branch and bound algorithm for robust spanning tree problem with interval data. Oper. Res. Lett. 161, 771–779 (2005)

[23] Montemanni, R., Gambardella, L.M., Donati, A.V.: A branch and bound algorithm for the robust shortest path problem with interval data. Oper. Res. Lett. 32, 225–232 (2004)

[24] Nguyen, K.T., Hung, N.T.: The minmax regret inverse maximum weight problem. Appl. Math. Comput. 407, 126328 (2021)

[25] Omidi, S., Fathali, J.: Inverse single facility location problem on a tree with balancing on the distance of server to clients. J. Ind. Manag. Optim. (2021). https://doi.org/10.3934/jimo.2021017

[26] Pham, V.H., Nguyen, K.T., Le, T.T.: A linear time algorithm for balance vertices on trees. Discret. Optim. 32, 37–42 (2019)

[27] Puerto, J., Rodriguez-Chia, A.M., Tamir, A.: Minimax regret single facility ordered median location problems on networks. INFORMS J. Comput. 21, 77–87 (2019)

[28] Reid, K.B.: Balance vertices in trees. Networks 34, 264–271 (1999)

[29] Reid, K.B., DePalma, E.: Balance in trees. Discret. Math. 304, 34–44 (2005)

[30] Shan, E., Kang, L.: A note on balance vertices in trees. Discret. Math. 280, 265–269 (2004)

[31] Ye, J.H., Wang, B.F.: On the minmax regret path median problem on trees. J. Comput. Syst. Sci. 81, 1159–1170 (2015)

[32] Zieliński, P.: The computational complexity of the relative robust shortest path problem with interval data. Eur. J. Oper. Res. 158, 570–576 (2004)

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