Lexicographically-ordered constraint satisfaction problems

Constraints

Volumn 15, Issue 1, 2010, Pages 1-28

  Freuder, Eugene C ^a   Heffernan, Robert ^a   Wallace, Richard J ^a   Wilson, Nic ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Complete search; Constraint satisfaction; Lexicographic order; Preference; Soft constraint

Indexed keywords

BRANCH-AND-BOUND ALGORITHMS; COMPLETE SEARCH; CONSTRAINT SATISFACTION; CONSTRAINT SATISFACTION PROBLEMS; HARD CONSTRAINTS; ITERATIVE ALGORITHM; LEXICOGRAPHIC ORDER; LEXICOGRAPHIC ORDERING; MULTI-ATTRIBUTES; MULTIOBJECTIVE OPTIMISATION; OPTIMAL VALUES; OVER-COMPLETE; PREFERENCE ORDER; PREFERENCE REPRESENTATION; SIMPLE STRUCTURES; SOFT CONSTRAINT; VARIABLE ORDERING HEURISTICS;

ALGORITHMS; COMPUTER OPERATING PROCEDURES; HEURISTIC METHODS; LINEAR PROGRAMMING; MULTIOBJECTIVE OPTIMIZATION;

PROBLEM SOLVING;

EID: 74849127730     PISSN: 13837133     EISSN: 15729354     Source Type: Journal    
DOI: 10.1007/s10601-009-9069-0     Document Type: Article

References (50)

1. Arrow, K. J., & Raynaud, H. (1986). Social choice and multicriterion decision-making. MIT.
2. S Bistarelli U Montanari F Rossi 1997 Semiring-based constraint solving and optimization Journal on ACM 44 201 236 0890.68032 10.1145/256303.256306 1470584
3. S Bistarelli U Montanari F Rossi T Schiex G Verfaillie H Fargier 1999 Semiring-based CSPs and valued CSPs: Frameworks, properties and comparison Constraints 4 199 240 0946.68143 10.1023/A:1026441215081 1716180
4. K Borcherding T Eppel D von Winterfeldt 1991 Comparison of weighting judgments in multiattribute utility measurement Management Science 37 1603 1619 0729.91012 10.1287/mnsc.37.12.1603
5. A Borning B Freeman-Benson M Wilson 1992 Constraint hierarchies LISP and Symbolic Computation 5 223 270 10.1007/BF01807506
6. Boutilier, C., Brafman, R. I., Hoos, H. H., & Poole, D. (1999). Reasoning with conditional ceteris paribus preference statements. In Proc. fifteenth annual conference on uncertainty in artificial intelligence (pp. 71-80). Morgan Kaufmann.
7. C Boutilier RI Brafman C Domshlak H Hoos D Poole 2004 CP-nets: A tool for representing and reasoning with ceteris paribus preference statements Journal of Artificial Intelligence Research 21 135 191 1080.68685 2130726
8. C Boutilier RI Brafman C Domshlak H Hoos D Poole 2004 Preference-based constrained optimization with CP-nets Computational Intelligence, Special Issue on Preferences 20 137 157 2113287
9. Brafman, R. I., & Domshlak, C. (2002). Introducing variable importance tradeoffs into CP-nets. In Proc. eighteenth annual conference on uncertainty in artificial intelligence (pp. 69-76). AAAI Press.
10. RI Brafman C Domshlak E Shimony 2006 Graphical modeling of preference and importance Journal of Artificial Intelligence Research 25 389 424 05547832 2272068
11. Brewka, G. (1989). Preferred subtheories: An extended logical framework for default reasoning. In Proc. eleventh international joint conference on artificial intelligence (pp. 1043-1048). Morgan Kaufmann.
12. Chankong, V., & Haimes, Y. Y. (1983). Multiobjective decision making. Dover.
13. Cheeseman, P., Kanefsky, B., & Taylor, W. M. (1991). Where the really hard problems are. In Proc. twelth international joint conference on artificial intelligence (pp. 331-337). Morgan Kaufmann.
14. Domshlak, C., & Brafman, R. I. (2002). CP-nets - reasoning and consistency testing. In Proc. eighth conference on principles of knowledge representation and reasoning (pp. 121-132). Morgan Kaufmann.
15. J Doyle RH Thomason 1999 Background to qualitative decision theory Artificial Intelligence Magazine 20 55 68
16. Ehrgott, M. (2005). Multicriteria Optimization. 2nd edition. Springer.
17. Ehrgott, M., & Wiecek, M. M. (2005). Multiobjective programming. In J. Figueira, S. Greco, & M. Ehrgott (eds.), Multiple criteria decision analysis. State of the art surveys (pp. 667-722). Springer.
18. Fargier, H., Lang, J., & Schiex, T. (1993). Selecting preferred solutions in fuzzy constraint satisfaction problems. In Proc. first European conference on fuzzy and intelligent technologies - EUFIT'93 (pp. 1128-1134). Augustinus Buchhandlung.
19. Fishburn, P. C. (1970). Utility theory for decision making. Wiley.
20. PC Fishburn 1974 Lexicographic orders, utilities and decision rules: A survey Management Science 20 1442 1471 0311.90007 10.1287/mnsc.20.11.1442 363428
21. PC Fishburn 1975 Axioms for lexicographic preferences Review of Economic Studies 42 415 419 0326.90005 10.2307/2296854
22. Frisch, A., Hnich, B., Kiziltan, Z., Miguel, I., & Walsh, T. (2002). Global constraints for lexicographic orderings. In P. V. Hentenryck (ed.), Principles and practice of constraint programming - CP2002, LNCS (vol. 2470, pp. 93-108). Springer.
23. Freuder, E. C., Wallace, R. J., & Heffernan, R. (2003). Ordinal constraint satisfaction. In Fifth international workshop on soft constraints - SOFT'03.
24. Frost, D., & Dechter, R. (1995). Look-ahead value ordering for constraint satisfaction problems. In Proc. fourteenth international joint conference on artificial intelligence (pp. 572-578). Morgan Kaufmann.
25. Gavanelli, M. (2002). An algorithm for multi-criteria optimization in CSPs. In F. van Harmelen (ed.), Fifteenth European conference on artificial intelligence-ECAI 2002 (pp. 136-140). IOS Press.
26. Goldsmith, J., Lang, J., Truszczynski, M., & Wilson, N. (2005). The computational complexity of dominance and consistency in CP-nets. In Proc. nineteenth international joint conference on artificial intelligence (pp. 144-149).
27. RM Haralick GL Elliott 1980 Increasing tree search efficiency for constraint satisfaction problems Artificial Intelligence 14 263 313 10.1016/0004-3702(80)90051-X (Pubitemid 12514962)
28. RR Joseph P Chan M Hiroux G Weil 2007 Decision-support with preference constraints European Journal of Operational Research 177 1469 1494 1109.90071 10.1016/j.ejor.2005.04.016 2271403 (Pubitemid 44780932)
29. Junker, U. (2002). Preference-based search and multi-criteria optimization. In Proc. eighteenth national conference on artificial intelligence (pp. 34-40). AAAI Press.
30. U Junker 2004 Preference-based search and multi-criteria optimization Annals of Operation Research 130 75 115 1156.90381 10.1023/B:ANOR.0000032571. 68051.fe 2076513
31. Junker, U. (2008). Preference-based problem solving for constraint programming. In F. Fages, F. Rossi, & S. Soliman (eds.), Recent advances in constraints: 12th annual ERCIM international workshop on constraint solving and constraint logic programming - CSCLP 2007. LNAI (vol. 5129, pp. 109-126). Revised selected papers. Springer.
32. Keeney, R. L., & Raiffa, H. (1993). Decisions with multiple objectives. Cambridge.
33. Korhonen, M. (2005). Interactive methods. In J. Figueira, S. Greco, & M. Ehrgott (eds.), Multiple criteria decision analysis. State of the art surveys (pp. 641-665). Springer.
34. OI Larichev 1984 Psychological validation of decision methods Journal of Applied Systems Analysis 11 37 46
35. M Laumanns L Thiele E Zitzler 2006 An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method European Journal on Operational Research 169 932 942 1079.90122 10.1016/j.ejor.2004.08.029 2174001 (Pubitemid 41492025)
36. Lecoutre, C., Boussemart, F., & Hemery, F. (2004). Backjump-based techniques versus conflict-directed heuristics. In Proc. sixteenth international conference on tools with artificial intelligence-ICTAI'04 (pp. 549-557). IEEE Press.
37. Luce, R. D., & Suppes, P. (1965). Preference, utility and subjective probability. In R. D. Luce, R. R. Bush, & E. Galanter (eds.), Handbook of mathematical psychology (vol. 3, pp. 249-410). Wiley.
38. Majumdar, T. (1966). The measurement of utility. Macmillan.
39. DL Olson HM Moshkovich R Schellenberger AI Mechitov 1995 Consistency and accuracy in decision aids: Experiments with four multiattribute systems Decision Science 26 723 746 10.1111/j.1540-5915.1995.tb01573.x
40. Payne, J. W., Bettman, J. R., & Johnson, E. J. (1993). The adaptive decision maker. Cambridge.
41. CR Plott JT Little RP Parks 1975 Individual choices when objects have "ordinal" properties Review of Economic Studies 42 403 413 0326.90004 10.2307/2296853
42. Saaty, T. L. (2005). The analytic hierarchy and analytic network processes for the measurement of intangible criteria and for decision-making. In J. Figueira, S. Greco, & M. Ehrgott (Eds.), Multiple criteria decision analysis (pp. 345-407). Springer.
43. Sabin, D., & Freuder, E. (1994). Contradicting conventional wisdom in constraint satisfaction. In Proc. eleventh European conference on artificial intelligence (pp. 125-129). Wiley.
44. Smith, B. M., & Grant, S. A. (1998). Trying harder to fail first. In Proc. thirteenth European conference on artificial intelligence-ECAI'98 (pp. 249-253). Wiley.
45. Schiex, T., Fargier, H., & Verfaillie, G. (1995). Valued constraint satisfaction problems: Hard and easy problems. In Proc. fourteenth international joint conference on artificial intelligence (pp. 631-637). Morgan Kaufmann.
46. Wallace, R. J., & Wilson, N. (2006). Conditional lexicographic orders in constraint satisfaction problems. In J. C. Beck, & B. M. Smith (eds.), Proc. third international conference on integration of AI and OR techniques in constraint programming - CPAIOR 2006. LNCS (no. 3990, pp. 258-272). Berlin: Springer.
47. Wilson, N. (2004a). Consistency and constrained optimisation for conditional preferences. In Proc. sixteenth European conference on artificial intelligence (pp. 888-892). IOS Press.
48. Wilson, N. (2004b). Extending CP-nets with stronger conditional preference statements. In Proc. nineteenth national conference on artificial intelligence (pp. 735-741). AAAI/MIT.
49. Wilson, N. (2006). An efficient upper approximation for conditional preference. In Proc. seventeenth European conference on artificial intelligence (pp. 472-476). IOS Press.
50. Wallace, R. J., & Wilson, N. (2009). Conditional lexicographic orders in constraint satisfaction problems. Annals of Operations Research special issue entitled "Constraint Programming, Artificial Intelligence and Operations Research".