Multicriteria synthesis of flow networks with a guarantee of survivability

Journal of Computer and Systems Sciences International

Volumn 40, Issue 2, 2001, Pages 255-264

  Malashenko, Yu E ^a   Novikova, N M ^a   Pospelova, I I ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645345168     PISSN: 10642307     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. Vorobeichikova, O.A., Malashenko, Yu.E., and Novikova, N.M., The Analysis of Multiuser Network Systems Taking Account of the Uncertainty: VI. The Feasibility Problem in Conditions of Nonrandom Loss of Capacity, Izv. Ross. Akad. Nauk, Tear. Sist. Upr., 1999, no. 3.
2. Germeier, Yu.B., Vvedenie v teoriyii issledovaniya operatsii (Introduction to Operations Research), Moscow: Nauka, 1971.
3. Phillips, D.T. and Garcia-Diaz, A., Fundamentals of Network Analysis, New York: Prentice-Hall, 1981. Translated under the title Melody analiza setei, Moscow: Mir, 1984.
4. Karzanov, A.V., Combinatorial Methods for Solving Cutting Flow Problems, in Kombinatornye melody v potokovykh zadachakh (Combinatorial Problems in Flow Problems), Moscow: VNIISI, 1979, issue 3.
5. Podinovskii, V.V. and Nogin, V.D., Pareto-optimal'nye resheniya mnogokriterial'nykh zadach (Pareto-Optimal Solutions to Multiflow Problems), Moscow: Nauka, 1982.
6. Malashenko, Yu.E., Novikova, N.M., and Smirnov, M.M., Analysis of Multiuser Network Systems with Account of Uncertainty: III. Multicriteria or Parametric Statement for Unknown Requirements, Izv. Ross. Akad. Nauk, Tear. Sist. Upr., 1998, no. 4.
7. Novikova, N.M. and Pospelova, I.I., Vector Maximinimax, Vestn. Mask. Cos. Univ., Ser. 15, Vychisl. Mat. Kibem., 1999, no. 4.
8. Fedorov, V.V., Chislennye melody maksimina (The MaxMin Numerical Methods), Moscow: Nauka, 1979.
9. Germeier, Yu.B., Approximate Reduction of the Problem of Finding Maximin to the Problem of Finding Maximum by Using Penalty Functions, Zh. Vychisl. Mat. Mat. Fiz., 1969, vol. 9, no. 3.
10. Novikova, N.M. and Pospelova, I.I., Miwgokriterial'nye zadachi prinyatiya reshenii v nsloviyakh neopredelennosti (Multicriteria Decision Problems under Uncertainty), Moscow: Vych. Tsentr of RAN, 2000.
11. Vorobeichikova, O.A. and Novikova, N.M., Vector Minimax with Connected Constraints, Vestn. Mask. Cos. Univ., Ser. 15, Vychisl. Mat. Kibem., 1996, no. 4.
12. Zhukovskii, V.I. and Salukvadze, M.E., Mnogokriterial'nye zadachi upravleniya v nsloviyakh neopredelennosli (Multicriteria Control Problems under Uncertainty), Tbilisi: Metsniereba, 1991.
13. Zhukovskii, V.I. and Salukvadze, M.E., Optimizatsiya garanti! v innogokriterial'nykh zadachakh tipravleniya (Optimization of Guarantees in Mullicriteria Control Problems), Tbilisi: Metsniereba, 1996.
14. Shtoer, R., Mnogokriterial'naya optimizatsiya. Teoriya, vychisleniya i prilozlieniya (Multicriteria Optimization. Computation Theory and Applications), Moscow: Radio iSvyaz', 1992.
15. Lotov, A.V., Bushenkov, V.A., Kamenev, G.K., et al., Komp'yitter i poisk kompromlssa. Metod dostizhimykh tselei (Computer and Compromise Making. The Method of Attainable Goals), Moscow: Nauka, 1997.
16. Smirnov, M.M., On the Logical Convolution of a Vector of Criteria in the Problem of Approximating the Pareto Set, Z/j. Vychisl. Mat. Mat. Fiz., 1996, vol. 36, no. 5.
17. Smirnov, M.M., Methods for Approximating Facets of the Pareto Set in a Linear Multicriteria Problem, Vestn. Mask. Cos. Univ., Ser. 15, Vychisl. Mat. Kibem., 1996, no. 3.
18. Novikova, N.M. and Pospelova, I.I., Parametric Values of the Vector Maximinimax Based on Inverse Logical Convolution, Vestn. Mask. Cos. Univ., Ser. 15, Vychisl. Mat. Kibem., 2000, vol. 3.
19. Davidson, M.R., Malashenko, Yu.E., and Novikova, N.M., Analysis of Multiuser Network Systems Accounting for
20. Uncertainty: II. Properties of Superconcuirent Distributions of Flows, /zu Ross. Akad. Naiik, Tear. Sist. Upi:, 1998, no. 3.
21. Malashenko, Yu.E. and Novikova, N.M., Analysis of Multiuser Network Systems with Account of Uncertainty. I, Izv. Ross. Akad. Naiik, Tear. Sist. Upr., 1998, no. 2. '
22. Matula, D.W., Concurrent Flow and Concurrent Connectivity in Graplis, in Graph Theory and Its Application to Algorithms and Computer Science, New York: Wiley, 1985.
23. Pospelova, I.I., Theoretical Problems of Two-Stages Vector Optimization, Cand. Sei. (Phys.-Math.) Dissertation, Moscow: Moscow State University, 2000.
24. Smirnov, M.M., Methods for Approximating the Pareto Set Based on the Inverse Logical Convolution and Their Application in Network Optimization, Cand. Sei. (Phys.-Math.) Dissertation, Moscow: Moscow State University, 1996.
25. Malashenko, Yu.E. and Novikova, N.M., The Analysis of Multiuser Network Systems under Uncertainty: VII. The Problem of Standard Survivability Analysis of a Multicommodity Flow Network, Izv. Ross. Akad. Naiik, Tear. Sist. Upr., 1999, no. 4.