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Volumn 98, Issue 1-3, 2003, Pages 415-429

Max algebra and the linear assignment problem

Author keywords

Assignment problem; Best principal submatrix assignment problem; Characteristic maxpolynomial; Discrete event system; Job rotation problem; Max algebra; Permanent; Regular matrix

Indexed keywords

ASSIGNMENT PROBLEMS; CHARACTERISTIC MAXPOLYNOMIAL; JOB ROTATION; MAX-ALGEBRA; PERMANENT;

EID: 33847336504     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-003-0411-9     Document Type: Conference Paper
Times cited : (19)

References (25)
  • 2
    • 84877852160 scopus 로고    scopus 로고
    • SFB Report No.249, Instituteof Mathematics, Graz University ofTechnology, May, Toappear in DiscreteAppl. Math
    • Burkard, R.E., Butković, P.: Finding all essential terms of a characteristic maxpolynomial. SFB Report No.249, Instituteof Mathematics, Graz University ofTechnology, May 2002.Toappear in DiscreteAppl. Math. Available as ftp://ftp.tu-graz.ac.at/pub/papers/math/sfb249.ps.gz.
    • (2002) Finding All Essential Terms of A Characteristic Maxpolynomial
    • Burkard, R.E.1    Butković, P.2
  • 3
    • 38149148301 scopus 로고
    • Strong regularity of matrices - A survey of results
    • Butković, P.: Strong regularity of matrices-a survey of results. Discrete Appl. Math. 48, 45-68 (1994)
    • (1994) Discrete Appl. Math. , vol.48 , pp. 45-68
    • Butković, P.1
  • 4
    • 0041469442 scopus 로고
    • Regularity of matrices in min-algebra and its time-complexity
    • Butković, P.: Regularity of matrices in min-algebra and its time-complexity. Discrete Appl. Math. 57, 121-132 (1995)
    • (1995) Discrete Appl. Math. , vol.57 , pp. 121-132
    • Butković, P.1
  • 5
    • 0037835316 scopus 로고    scopus 로고
    • Simple image set of (max, +) linear mappings
    • Butković, P.: Simple image set of (max, +) linear mappings. Discrete Appl. Math. 105, 73-86 (2000)
    • (2000) Discrete Appl. Math. , vol.105 , pp. 73-86
    • Butković, P.1
  • 6
    • 0041909347 scopus 로고    scopus 로고
    • Calculating essential terms of a characteristic maxpolynomial
    • Butković, P., Murfitt, L.: Calculating essential terms of a characteristic maxpolynomial. CEJOR 8, 237-246 (2000)
    • (2000) CEJOR , vol.8 , pp. 237-246
    • Butković, P.1    Murfitt, L.2
  • 7
    • 0001446022 scopus 로고
    • An algebra for network routing problems
    • Carré, B.A.: An algebra for network routing problems. J. Inst. Math. Appl. 7, 273-294 (1971)
    • (1971) J. Inst. Math. Appl. , vol.7 , pp. 273-294
    • Carré, B.A.1
  • 8
    • 0344078189 scopus 로고
    • Process synchronisation in a steelworks - A problem of feasibility
    • (ed. by Banburry and Maitland), English University Press
    • Cuninghame-Green, R.A.: Process synchronisation in a steelworks-a problem of feasibility. In: Proc. 2nd Int. Conf. on Operational Research (ed. by Banburry and Maitland), English University Press, 1960, pp. 323-328
    • (1960) Proc. 2nd Int. Conf. on Operational Research , pp. 323-328
    • Cuninghame-Green, R.A.1
  • 9
    • 0002438198 scopus 로고
    • Describing industrial processes with interference and approximating their steady state behaviour
    • Cuninghame-Green, R.A.: Describing industrial processes with interference and approximating their steady state behaviour. Operational Res. Quarterly 13, 95-100 (1962)
    • (1962) Operational Res. Quarterly , vol.13 , pp. 95-100
    • Cuninghame-Green, R.A.1
  • 14
    • 0004090387 scopus 로고    scopus 로고
    • PhD thesis, Faculty of Applied Sciences, K.U.Leuven, Leuven, Belgium, ISBN 90-5682-016-8, Feb.
    • De Schutter, B.: Max-Algebraic System Theory for Discrete Event Systems. PhD thesis, Faculty of Applied Sciences, K.U.Leuven, Leuven, Belgium, ISBN 90-5682-016-8, Feb. 1996 http://dutera.et.tud-elft.nl/deschutt/pub/publications. html
    • (1996) Max-Algebraic System Theory for Discrete Event Systems
    • De Schutter, B.1
  • 18
    • 0038986788 scopus 로고
    • L'indépendance linéaire dans les diöides. Bulletin de la Direction Etudes et Recherches
    • Gondran M., Minoux, M.: L'indépendance linéaire dans les diöides. Bulletin de la Direction Etudes et Recherches. EDF, Série C 1, 67-90 (1978)
    • (1978) EDF, Série C , vol.1 , pp. 67-90
    • Gondran, M.1    Minoux, M.2
  • 19
    • 0000905183 scopus 로고
    • Linear algebra of diöids: A survey of recent results
    • Gondran M., Minoux, M.: Linear algebra of diöids: a survey of recent results. Annals of Discrete Mathematics 19, 147-164 (1984)
    • (1984) Annals of Discrete Mathematics , vol.19 , pp. 147-164
    • Gondran, M.1    Minoux, M.2
  • 21
    • 0344940238 scopus 로고
    • An algebra of the optimal path in networks
    • Peteanu, V.: An algebra of the optimal path in networks. Mathematica 9, 335-342 (1967)
    • (1967) Mathematica , vol.9 , pp. 335-342
    • Peteanu, V.1
  • 22
    • 0033235959 scopus 로고    scopus 로고
    • Permanents pfaffian orientations and even directed circuits
    • Robertson, N., Seymour, P.D., Thomas, R.: Permanents, Pfaffian orientations, and even directed circuits. Ann. of Math. (2) 150, 929-975 (1999)
    • (1999) Ann. of Math. (2) , vol.150 , pp. 929-975
    • Robertson, N.1    Seymour, P.D.2    Thomas, R.3
  • 23
    • 27144473829 scopus 로고
    • Structure in communication nets
    • New York, April 1954, Polytechnic Institute of Brooklyn, Brooklyn, N.Y.
    • Shimbel, A.: Structure in communication nets. Proceedings of the symposium on information networks, New York, April, 1954, pp. 199-203. Polytechnic Institute of Brooklyn, Brooklyn, N.Y., 1955
    • (1955) Proceedings of the Symposium on Information Networks , pp. 199-203
    • Shimbel, A.1
  • 24
    • 0038015710 scopus 로고
    • A combinatorial proof of the cayley-hamilton theorem
    • Straubing, H.: A combinatorial proof of the Cayley-Hamilton theorem. Discrete Maths. 43, 273-279 (1983)
    • (1983) Discrete Maths. , vol.43 , pp. 273-279
    • Straubing, H.1
  • 25
    • 0003387863 scopus 로고
    • Linear and combinatorial optimization in ordered algebraic structures
    • Amsterdam: North Holland
    • Zimmermann, U.: Linear and Combinatorial Optimization in Ordered Algebraic Structures. Annals of Discrete Mathematics 10, Amsterdam: North Holland, 1981
    • (1981) Annals of Discrete Mathematics 10
    • Zimmermann, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.