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  Constraint programming based column generation for crew assignment (1999) [30 citations — 13 self]

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by Torsten Fahle, Meinolf Sellmann
Journal of Heuristics
http://www.uni-paderborn.de/cs/ag-monien/PUBLICATIONS/POSTSCRIPTS/tef.cp_knapsack.ps.Z
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Abstract:

Abstract. We present how to apply Constraint Based Column Generation to a large class of subproblems, namely Constrained Knapsack Problems (CKP). They evolve e.g. from Cutting Stock Problems (see [7]) with additional constraints on the cutting patterns. Focussing on Constrained Knapsack Problems, we developed a new reduction algorithm for KP. It is being used as propagation routine for the CKP with O(n log n) preprocessing time and O(n) time per call. This sums up to an amortized time of O(n) for (log n) calls.

Citations

5825 Introduction to Algorithms – Cormen, Leiserson, et al. - 2001
877 Consistency in networks of relations – Mackworth - 1977
354 Networks of constraints: Fundamental properties and applications to picture processing – Montanari - 1974
170 A generic arc-consistency algorithm and its specializations – hentenryck, Deville, et al. - 1992
118 Branch-and-price: column generation for solving huge integer programs – Barnhart, Johnson, et al. - 1998
111 Arc-consistency and arc-consistency again – Bessière - 1994
101 Solving Airline CrewScheduling Problems by Branch-and-Cut – HOFFMAN, PADBERG - 1993
85 Time constrained routing and scheduling – Desrochers, Dumas, et al. - 1995
81 A linear programming approach to the cutting stock problem – Gilmore, Gomory - 1961
70 The Decomposition Algorithm for Linear Programs – Dantzig, Wolfe - 1961
45 Algorithms for the set covering problem – Caprara, Fischetti, et al. - 1998
42 Combinatorial problem solving in constraint logic programming with cooperating solvers – Beringer, Backer - 1995
37 Branch-and-Infer: A Unifying Framework for Integer and Finite Domain Constraint Programming – Bockmayr, Kasper - 1998
37 A computational study of constraint satisfaction for multiple capacitated job shop scheduling. European Journal of Operational Research. Accepted for publication – Nuijten, Aarts - 1995
31 A new approach to integrating mixed integer programming and constraint logic programming – Rodosek, Wallace, et al. - 1999
30 Discrete variables extremum problems – Dantzig - 1957
27 The solution of massive generalized set partitioning problems in aircrew rostering – Ryan - 1992
17 Modeling and solving the crew rostering problem – Fischetti, Caprara, et al. - 1998
17 Flight attendant rostering for short-haul airline operations – Day, Ryan - 1997
16 Branch and infer: A unifying framework for integer and finite domain constraint programming – Bockmayr, Kasper - 1998
15 An upper bound for the zero-one knapsack problem and a Branch and Bound algorithm – Martello, Toth - 1977
15 An expanding-core algorithm for the exact 0-1 knapsack problem – Pisinger - 1995
14 Solving large scale crew scheduling problems – Chu, Gelman, et al. - 1997
13 Crew Pairing at Air France – Desaulniers, Desrosiers, et al. - 1997
12 Crew pairing optimization – Andersson, Housos, et al. - 1998
11 An algorithm for the solution of the 0-1 knapsack problem – Fayard, Plateau - 1982
11 A New Algorithm for the 0-1 Knapsack Problem – Martello, Toth - 1988
11 Integrating constraint logic programming and operations research techniques for the crew rostering problem – Caprara, Focacci, et al. - 1998
10 Branch-and-Price: Column Generation for Huge Integer Programs – Barnhart, Johnson, et al. - 1998
9 A Reduction Algorithm for Knapsack Problems – Dembo, Hammer - 1980
9 The preferential bidding system at Air Canada – Gamache, Soumis, et al. - 1998
7 A Reduction Algorithm for Zero-One Single Knapsack Problems – Ingargiola, Korsh - 1973
7 An alternate model and solution approach for the long-haul crew pairing problem – Barnhart, Shenoi - 1996
7 Subgraph ejection chains and tabu search for the crew scheduling problem – Cavique, Rego, et al. - 1999
7 Recent advances in exact optimization of airline scheduling problems – Rushmeier, Hoffman, et al. - 1995
4 An algorithm for large-scale zero-one knapsack problems – Balas, Zemel - 1980
4 Dynamic Programming and Tight Bounds for the 0-1 Knapsack Problem", Working – Martello, Pisinger, et al. - 1997
3 Approximation algorithm to solve real-life multicriteria cutting stock problems – Chu, Antonio - 1999
3 Reference manual and user manual. V4.4 – Solver - 1999
3 Upper Bounds and Algorithms for Hard 0-1 Knapsack Problems – Martello, Toth - 1993
1 Improving the branch and bound algorithm for the knapsack problem. Queen's University Research Report – Hudson - 1977
1 An improved bound for the 0-1 knapsack problem – Villela, Bornstein - 1983
1 Reference manual and user manual. V4.3 – Solver - 1998
1 Column generation for a scheduling problem with maintenance constraints – Jacquet-Lagreze, Lebbar - 1998
1 Airline crew assignment: modeling and optimization. Carmen Report – Kohl, Karisch - 1999
1 Executive Summary – Parrot - 1997
1 Unifying optimization and constraint satisfaction. Invited talk at IJCAI '99. Slides available at http://ba.gsia.cmu.edu/jnh/ijcai.ppt – Hooker