Linear AlgebraLinear Programming• Recommended
• 15`3.Revised simplex
(matrix form)
• (17`2.ver. 2)
17`3.ver. 3
• 18`3.Proper form
• Matrix inversion by 12`3.updating • LP random problem 15`3.generator
• Via 15`c.Lindo (under construction)
• (-§- At the extinct 'Complexo II': 07`c.more for less)
Mixed Integer Programming
(references)• Search "Mixed Integer Linear Programming (MILP)"
• Gurobi: Mixed-Integer Programming (MIP) - A Primer on the Basics (=.pdf, 2 Mb),
• Taylor, Bernard, moduleB.pdf Transp. & Ass., modC.pdf IP: B&B method, modD.pdf NLP, modE.pdf Game Theo., modF.pdf Markov
• MIT: Bradley, Hax & Magnanti, Applied Mathematical Programming, 1977, Addison-Wesley (=.pdf zip, 539 pp, 16 Mb, -Ch6/7/10), Ch. 9.pdf, "Integer Programming", p 272, "Some IP models"
References, bibliography• Linderoth, Jeff, Publications; Noncommercial software for MILP.pdf (=).
• Commercial, CPLEX: NAG (licence expired), CPLEX, Lindo, Xpress-MP. • Non-commercial: ABACUS* (Michael Jünger), BCP* (search), BonsaiG (†2004), CBC* (search), GLPK, lp_solve, MINTO, SYMPHONY. *COIN-OR related.
• Williams, H. P., 1985, "Model building in mathematical programming", 2.nd ed., Wiley. ISBN: 0-471-90605-0. (1978, ISBN: 0-471-99541-X)
• Hillier, F. S., G. J. Lieberman, 2005, "Introduction to Operations Research", 8.th ed., McGraw-Hill, Boston, MA (USA). ISBN: 007123828X.
• Taha, Hamdy, 1987, "Operations Research: an introduction", 4.th ed., Macmillan, New York, NY (USA). ISBN: 0-02-946750-0.
• Atamtürk (in [Linderoth]), Alper and Martin W. P. Savelsbergh, 2004, "Integer Programming Software Systems", Annals of Operations Research (=).
• Özaltin, Osman Y., B. Hunsaker, T. K. Ralphs, 2007, "Visualizing Branch-and-Bound algorithms".pdf (=).
• Search "more for less"
• Arsham, H., The dark side of LP: "More-for-less & less-for-more situations" (Univ. of Baltimore).
• Luptáčik, Mikuláš: Chap. IV.pdf, (Comenius University in Bratislava) (Inserting Unicode char.).
• Ryan, Michael J. (.pdf), 2000, "The distribution problem, the more for less (nothing) paradox and economies of scale and scope", European Journal of Operational Research, 121:92–104.
• Ryan, Michael J. (.zip, 4 Mb), 2004, "More for Less", on-line book.
• Storøy, Sverre (.pdf), 2007, "The transportation paradox revisited" (Univ. of Bergen, Norway).
• Greenberg, Harvey J. (.pdf), 2000, "Mathematical Programming glossary supplement: more for less paradox", March 2, Univ. of Colorado at Denver.
* Remember: -§- under construction (or not working)
