References
- M. Allahdadi and H. Mishmast Nehi, The optimal solution set of the interval linear programming problems, Optim. Lett. (2013), http://dx.doi.org/10.1007/s11590-012-0530-4.
- J.W. Chinneck and K. Ramadan, Linear programming with interval coefficients, J. Oper. Res. Soc. 51 (2000), pp. 209–220. doi: 10.1057/palgrave.jors.2600891
- M. Fiedler, J. Nedoma, J. Ramík, J. Rohn, and K. Zimmermann, Linear Optimization Problems Within Exact Data, Springer, New York, 2006.
- M. Hladík, Optimal value range in interval linear programming, Fuzzy Optim. Decis. Making 8(3) (2009), pp. 283–294. doi: 10.1007/s10700-009-9060-7
- M. Hladík, Interval Linear Programming: A Survey, in Linear Programming New Frontiers, Zoltan Adam Mann Edits, ed., Nova Science Publishers Inc., New York, 2012, pp. 1–46.
- M. Hladík, Weak and strong solvability of interval linear systems of equations and inequalities, Linear Algebra Appl. 438(11) (2013), pp. 4156–4165. doi: 10.1016/j.laa.2013.02.012
- M. Hladík, On approximation of the best case optimal value in interval linear programming, Optim. Lett. (2014), doi:10.1007/s11590-013-0715-5.
- M. Hladík, How to determine basis stability in interval linear programming, Optim. Lett. 8(1) (2014), pp. 375–389. doi: 10.1007/s11590-012-0589-y
- M. Inuiguchi, J. Ramik, T. Tanino, and M. Vlach, Satisficing solutions and duality in interval and fuzzy linear programming, Fuzzy Sets Syst. 135(1) (2003), pp. 151–177. doi: 10.1016/S0165-0114(02)00253-1
- J. Koní˘cková, Sufficient condition of basis stability of an interval linear programming problem, ZAMM, Z. Angew. Math. Mech. 81 (Suppl. 3) (2001), pp. 677–678.
- W. Li and X. Tian, Numerical solution method for general interval quadratic programming, Appl. Math. Comput. 202 (2008), pp. 589–595. doi: 10.1016/j.amc.2008.02.039
- W. Li, J. Luo, and C. Deng, Necessary and sufficient conditions of some strong optimal solutions to the interval linear programming, Linear Algebra Appl. 439 (2013), pp. 3241–3255. doi: 10.1016/j.laa.2013.08.013
- W. Li, H.P. Wang, and Q. Wang, Localized solutions to interval linear equations, J. Comput. Appl. Math. 238(15) (2013), pp. 29–38. doi: 10.1016/j.cam.2012.08.016
- W. Li, J. Luo, Q. Wang, and Y. Li, Checking weak optimality of the solution to linear programming with interval right-hand side, Optim. Lett. 8(4) (2014), pp. 1287–1299. doi: 10.1007/s11590-013-0654-1
- S. T. Liu and R. T. Wang, A numerical solution method to interval quadratic programming, Appl. Math. Comput. 189(2) (2007), pp. 1274–1281. doi: 10.1016/j.amc.2006.12.007
- J. Luo and W. Li, Strong optimal solutions of interval linear programming, Linear Algebra Appl. 439 (2013), pp. 2479–2493. doi: 10.1016/j.laa.2013.06.022
- J. Luo, W. Li, and Q. wang, Checking strong optimality of interval linear programming with inequality constraints and nonnegative constraints, J. Comput. Appl. Math. 260 (2014), pp. 180–190. doi: 10.1016/j.cam.2013.09.075
- E.D. Popova, Explicit description of AE solution sets for parametric linear systems, SIAM J. Matrix Anal. Appl. 33(4) (2012), pp. 1172–1189. doi: 10.1137/120870359
- E. D. Popova and M. Hladík, Outer enclosures to the parametric AE solution set, Soft Comput. 17(8) (2013), pp. 1403–1414. doi: 10.1007/s00500-013-1011-0
- J. Rohn, Strong solvability of interval linear programming problems, Computing 26 (1981), pp. 79–82. doi: 10.1007/BF02243426
- J. Rohn, Systems of linear interval equations, Linear Algebra Appl. 126 (C) (1989), pp. 39–78. doi: 10.1016/0024-3795(89)90004-9
- J. Rohn, Solvability of systems of interval linear equations and inequalities, in Linear Optimization Problems with Inexact Data, M. Fiedler, J. Nedoma, J. Ramík, J. Rohn and K. Zimmermann, eds., Springer, New York, 2006, pp. 35–77. doi: 10.1007/0-387-32698-7_2
- J. Rohn, A general method for enclosing solutions of interval linear equations, Optim. Lett. 6 (2012), pp. 709–717. doi: 10.1007/s11590-011-0296-0
- S.P. Shary, On controlled solution set of interval algebraic systems, Interval Comput. 4(6) (1992), pp. 66–75.
- S.P. Shary, Solving the tolerance problem for interval linear equations, Interval Comput. 2 (1994), pp. 6–26.
- S.P. Shary, A new technique in systems analysis under interval uncertainty and ambiguity, Reliab. Comput. 8(5) (2002), pp. 321–418. doi: 10.1023/A:1020505620702