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An efficient branch and bound algorithm to solve the quadratic integer programming problem. (English) Zbl 0494.65035


MSC:

65K05 Numerical mathematical programming methods
90C10 Integer programming
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[1] Burkard, R. E.: Methoden der ganzzahligen Optimierung. Wien-New York: Springer 1972. · Zbl 0237.90042
[2] Charalambous, Ch.: Discrete optimization. Int. J. Systems Sci.5, 889–894 (1974). · Zbl 0296.90032 · doi:10.1080/00207727408920147
[3] Hartmann, K.: Verfahren zur Lösung ganzzahliger nichtlinearer Optimierungsprobleme. Math. Oper. Statistik. Optimization8, 633–647 (1977). · Zbl 0388.90048
[4] Jeroslow, R. G.: There cannot be any algorithm for integer programming with quadratic constraints. Oper. Res.21, 221–224 (1973). · Zbl 0257.90029 · doi:10.1287/opre.21.1.221
[5] Körner, F.: Untersuchungen über eine günstige Verzweigungsreihenfolge der Variablen bei Branchand-Bound-Verfahren. Math. Oper. Statistik. Optimization13, 221–229 (1982).
[6] Noltemeier, H.: Ein Branch-and-Bound-Verfahren-Generator. Computing8, 99–106 (1971). · Zbl 0226.90032 · doi:10.1007/BF02234046
[7] Panne. C. van de: Methods for linear and quadratic programming. American Elsevier 1975. · Zbl 0348.90094
[8] Zielke, G.: Numerische Berechnung von benachbarten inversen Matrizen und linearen Gleichungssystemen. Braunschweig: Vieweg 1970. · Zbl 0191.15703
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