A general approach to studying the stability of a Pareto optimal solution of a vector integer linear programming problem

作者: V. A. Emelichev , K. G. Kuzmin

DOI: 10.1515/DMA.2007.029

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参考文章(10)
Marek Libura, Edo S. van der Poort, Gerard Sierksma, Jack A.A. van der Veen, Stability aspects of the traveling salesman problem based on k -best solutions Discrete Applied Mathematics. ,vol. 87, pp. 159- 185 ,(1998) , 10.1016/S0166-218X(98)00055-9
Stan Van Hoesel, Albert Wagelmans, On the complexity of postoptimality analysis of 0/1 programs Discrete Applied Mathematics. ,vol. 91, pp. 251- 263 ,(1999) , 10.1016/S0166-218X(98)00151-6
Yu.N. Sotskov, V.K. Leontev, E.N. Gordeev, Some concepts of stability analysis in combinatorial optimization Discrete Applied Mathematics. ,vol. 58, pp. 169- 190 ,(1995) , 10.1016/0166-218X(93)E0126-J
Nilotpal Chakravarti, Albert P.M. Wagelmans, Calculation of stability radii for combinatorial optimization problems Operations Research Letters. ,vol. 23, pp. 1- 7 ,(1998) , 10.1016/S0167-6377(98)00031-5
V. Emelichev, K. Kuz'min, Y. Nikulin, Stability analysis of the Pareto optimal solutions for some vector boolean optimization problem Optimization. ,vol. 54, pp. 545- 561 ,(2005) , 10.1080/02331930500342708
V.A. Emelichev, E. Girlich, Yu.V. Nikulin, D.P. Podkopaev, Stability and Regularization of Vector Problems of Integer Linear Programming Optimization. ,vol. 51, pp. 645- 676 ,(2002) , 10.1080/0233193021000030760
V. A. Emelichev, K. G. Kuz'min, A. M. Leonovich, Stability in the Combinatorial Vector Optimization Problems Automation and Remote Control. ,vol. 65, pp. 227- 240 ,(2004) , 10.1023/B:AURC.0000014719.45368.36
V.A. Emelichev, K.G. Kuzmin, Stability analysis of a strictly efficient solution of a vector problem of Boolean programming in the metric l 1 Discrete Mathematics and Applications. ,vol. 14, pp. 521- 526 ,(2004) , 10.1163/1569392042572168
V. K. Leont'yev, E. N. Gordeyev, A general approach to investigating the stability of solutions of problems of discrete optimization Computational Mathematics and Mathematical Physics. ,vol. 36, pp. 53- 58 ,(1996)
E. N. Gordeev, Stability analysis of the minimum spanning tree problem Computational Mathematics and Mathematical Physics. ,vol. 39, pp. 738- 746 ,(1999)