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Volumn 21, Issue 2, 1997, Pages 81-85

A short proof of optimality of the bottom up algorithm for discrete resource allocation problems

Author keywords

Greedy algorithm; Integer programming; Polymatroid; Resource allocation problem

Indexed keywords


EID: 0042634029     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(97)00026-6     Document Type: Article
Times cited : (2)

References (10)
  • 1
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    • M.E. Dyer, A.M. Frieze, On an optimization problem with nested constraints, Discrete Appl. Math. 26 (1990) 159-173.
    • (1990) Discrete Appl. Math. , vol.26 , pp. 159-173
    • Dyer, M.E.1    Frieze, A.M.2
  • 3
    • 0022816715 scopus 로고
    • The greedy procedure for resource allocation problems: Necessary and sufficient conditions for optimality
    • A. Federgruen, H. Groenevelt, The greedy procedure for resource allocation problems: necessary and sufficient conditions for optimality, Oper. Res. 34 (1986) 909-918.
    • (1986) Oper. Res. , vol.34 , pp. 909-918
    • Federgruen, A.1    Groenevelt, H.2
  • 4
    • 0020120231 scopus 로고
    • The complexity of selection and ranking in X + Y and matrices with sorted columns
    • G.N. Frederickson, D.B. Johnson, The complexity of selection and ranking in X + Y and matrices with sorted columns, J. Comput. System Sci. 24 (1982) 197-208.
    • (1982) J. Comput. System Sci. , vol.24 , pp. 197-208
    • Frederickson, G.N.1    Johnson, D.B.2
  • 5
    • 0003319854 scopus 로고
    • Submodular functions and optimization
    • Elsevier, Amsterdam
    • S. Fujishige, Submodular functions and optimization, Annals of Discrete Mathematics, vol. 47, Elsevier, Amsterdam, 1991.
    • (1991) Annals of Discrete Mathematics , vol.47
    • Fujishige, S.1
  • 7
    • 0011338294 scopus 로고
    • About one class of convex programming problems
    • in Russian
    • N. Glebov, About one class of convex programming problems, Controlled Systems (Upravlyaemye Systemy) 11 (1973) 38-42 (in Russian).
    • (1973) Controlled Systems (Upravlyaemye Systemy) , vol.11 , pp. 38-42
    • Glebov, N.1
  • 8
    • 0026221935 scopus 로고
    • Two algorithms for maximizing a separable concave function over a polymatroid feasible region
    • H. Groenevelt, Two algorithms for maximizing a separable concave function over a polymatroid feasible region, Eur. J. Oper. Res. 54 (1991) 227-236.
    • (1991) Eur. J. Oper. Res. , vol.54 , pp. 227-236
    • Groenevelt, H.1
  • 10
    • 0000860218 scopus 로고
    • Lower and upper bounds for the allocation problem and other nonlinear optimization problems
    • D.S. Hochbaum, Lower and upper bounds for the allocation problem and other nonlinear optimization problems, Math. Oper. Res. 19 (1994) 390-409.
    • (1994) Math. Oper. Res. , vol.19 , pp. 390-409
    • Hochbaum, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.