메뉴 건너뛰기




Volumn 105, Issue 2-3, 2006, Pages 501-522

Approximate extended formulations

Author keywords

Approximation; Convex hull; Extended formulation; Lot sizing; Mixed integer programming; Traveling salesman problem

Indexed keywords

APPROXIMATION THEORY; COMPUTATION THEORY; PROBLEM SOLVING; RELAXATION PROCESSES;

EID: 29044444265     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-005-0663-7     Document Type: Conference Paper
Times cited : (54)

References (22)
  • 3
    • 0033700686 scopus 로고    scopus 로고
    • Bc-prod: A specialized branch-and-cut system for lot-sizing problems
    • Belvaux G., Wolsey L.A.: bc-prod: A specialized branch-and-cut system for lot-sizing problems. Management Science 46 (5), 724-738 (2000)
    • (2000) Management Science , vol.46 , Issue.5 , pp. 724-738
    • Belvaux, G.1    Wolsey, L.A.2
  • 4
    • 0023456043 scopus 로고
    • Solving multi-item lot-sizing problems using variable definition
    • Eppen G.D., Martin R.K.: Solving multi-item lot-sizing problems using variable definition. Operations Research 35, 832-848 (1987)
    • (1987) Operations Research , vol.35 , pp. 832-848
    • Eppen, G.D.1    Martin, R.K.2
  • 5
    • 2342592952 scopus 로고    scopus 로고
    • A primal all-integer algorithm based on irreducible solutions
    • Haus U-U., Köppe M., Weismantel R.: A primal all-integer algorithm based on irreducible solutions. Mathematical Programming 96, 205-246 (2003)
    • (2003) Mathematical Programming , vol.96 , pp. 205-246
    • Haus, U.-U.1    Köppe, M.2    Weismantel, R.3
  • 6
    • 0242692684 scopus 로고    scopus 로고
    • Improved lower bounds for the capacitated lot sizing problem with set up times
    • Jans R., Degraeve Z.: Improved lower bounds for the capacitated lot sizing problem with set up times. Operations Research Letters 32, 185-195 (2004)
    • (2004) Operations Research Letters , vol.32 , pp. 185-195
    • Jans, R.1    Degraeve, Z.2
  • 7
    • 0002180205 scopus 로고
    • Plant location, set covering and economic lot sizes: An O (mn) algorithm for structured problems
    • L. Collatz et al. (eds.), Birkhauser Verlag, Basel
    • Krarup J., Bilde O.: Plant location, set covering and economic lot sizes: an O (mn) algorithm for structured problems. In: L. Collatz et al. (eds.), Optimierung bei Graphentheoretischen und Ganzzahligen Probleme, Birkhauser Verlag, Basel pp 155-180 1977
    • (1977) Optimierung Bei Graphentheoretischen und Ganzzahligen Probleme , pp. 155-180
    • Krarup, J.1    Bilde, O.2
  • 8
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0 - 1 optimization
    • Lovász L., Schrijver A.: Cones of matrices and set-functions and 0 - 1 optimization. SIAM Journal on Optimization 1, 166-190 (1991)
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 9
    • 0141510436 scopus 로고    scopus 로고
    • Solving multi-item capacitated lot-sizing problems with setup times by branch-and-cut
    • CORE, Université catholique de Louvain
    • Miller A.J., Nemhauser G.L., Savelsbergh M.W.P.: Solving multi-item capacitated lot-sizing problems with setup times by branch-and-cut.CORE DP 2000/39, CORE, Université catholique de Louvain, 2000
    • (2000) CORE DP , vol.2000 , Issue.39
    • Miller, A.J.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 10
    • 4344582377 scopus 로고    scopus 로고
    • Tight MIP formulations for multi-item discrete lot-sizing problems
    • Miller A.J., Wolsey L.A.: Tight MIP formulations for multi-item discrete lot-sizing problems. Operations Research 51, 557-565 (2003)
    • (2003) Operations Research , vol.51 , pp. 557-565
    • Miller, A.J.1    Wolsey, L.A.2
  • 11
    • 84945708767 scopus 로고
    • Integer programming formulations and the traveling salesman problem
    • Miller C.E., Tucker A.W., Zemlin R.A.: Integer programming formulations and the traveling salesman problem. J. Assoc. Comput. Mach. 7, 326-329 (1960)
    • (1960) J. Assoc. Comput. Mach. , vol.7 , pp. 326-329
    • Miller, C.E.1    Tucker, A.W.2    Zemlin, R.A.3
  • 12
    • 4544303106 scopus 로고
    • An analytical comparison of different formulations of the travelling salesman problem
    • Padberg M., Sung T.-Y.: An analytical comparison of different formulations of the travelling salesman problem. Mathematical Programming 52, 315-357 (1991)
    • (1991) Mathematical Programming , vol.52 , pp. 315-357
    • Padberg, M.1    Sung, T.-Y.2
  • 13
    • 0028715377 scopus 로고
    • Polyhedra for lot-sizing with Wagner-Whitin costs
    • Pochet Y., Wolsey L.A. Polyhedra for lot-sizing with Wagner-Whitin costs. Mathematical Programming 67, 297-323 (1994)
    • (1994) Mathematical Programming , vol.67 , pp. 297-323
    • Pochet, Y.1    Wolsey, L.A.2
  • 16
    • 0001321687 scopus 로고
    • A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems
    • Sherali H., Adams W.: A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems. SIAM Journal of Discrete Mathematics 3, 411-430 (1990)
    • (1990) SIAM Journal of Discrete Mathematics , vol.3 , pp. 411-430
    • Sherali, H.1    Adams, W.2
  • 17
    • 0042292352 scopus 로고    scopus 로고
    • Reformulations of the shortest-route model for dynamic multi-item multi-level capacitated lot-sizing
    • Stadtler H.: Reformulations of the shortest-route model for dynamic multi-item multi-level capacitated lot-sizing. OR Spektrum 19, 87-96 (1997)
    • (1997) OR Spektrum , vol.19 , pp. 87-96
    • Stadtler, H.1
  • 19
    • 29044439049 scopus 로고    scopus 로고
    • Formulations for the single item lot-sizing problem with backlogging and constant capacity
    • To appear in
    • Van Vyve M.: Formulations for the single item lot-sizing problem with backlogging and constant capacity. To appear in Mathematical Programming
    • Mathematical Programming
    • Van Vyve, M.1
  • 21
    • 0036968625 scopus 로고    scopus 로고
    • Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation
    • Wolsey L.A.: Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation. Management Science 48, 1587-1602 (2002)
    • (2002) Management Science , vol.48 , pp. 1587-1602
    • Wolsey, L.A.1
  • 22
    • 25144444967 scopus 로고    scopus 로고
    • Strong formulations for mixed integer programs: Valid inequalities and extended formulations
    • Wolsey L.A.: Strong formulations for mixed integer programs: valid inequalities and extended formulations. Mathematical Programming B 97, 423-447 2003
    • (2003) Mathematical Programming B , vol.97 , pp. 423-447
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.