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Bibliography in fractional programming. (English) Zbl 0494.90076


MSC:

90C32 Fractional programming
00A15 Bibliographies for mathematics in general
Full Text: DOI

References:

[1] Abadie, J.M., and A.C. Williams: Dual and Parametric Methods in Decomposition. In: Graves, R., and P. Wolfe (eds.),Recent Advances in Mathematical Programming, McGraw-Hill, New York, 1963, 149–158. · Zbl 0222.90031
[2] Abrham, J., and R.N. Buie: Duality in Continuous Fractional Programming.Utilitas Mathematica 17, 1980, 35–44. · Zbl 0444.90096
[3] Abrham, J., and S. Luthra: Comparison of Duality Models in Fractional Linear Programming.ZOR – Zeitschrift für Operations Research 21, 1977, 125–130. · Zbl 0358.90063 · doi:10.1007/BF01919768
[4] Aggarwal, S.P.: Stability of the Solution to a Linear Fractional Functional Programming Problem.Zeitschrift für Angewandte Mathematik und Mechanik 46, 1966, 343–349. · Zbl 0158.19001 · doi:10.1002/zamm.19660460603
[5] –: A Note on Quasiconvex Programming.Metrika 12, 1968, 97–105. · Zbl 0155.28501 · doi:10.1007/BF02613488
[6] –: Parametric Linear Fractional Functional Programming.Metrika 12, 1968, 106–114. · Zbl 0177.48103 · doi:10.1007/BF02613489
[7] –: Standard Error Fractional Functional Programming.Instanbul Üniversitesi Fen Fakültesi Mecmuasi, A Serisi 30, 1968, 45–51.
[8] –: Analyses of the Solution to a Linear Fractional Functional Programming.Metrika 16, 1970, 9–26. · Zbl 0205.47803 · doi:10.1007/BF02613933
[9] –: Quadratic Fractional Functional Programming with Non-Linear Constraints (Italian).Ricerca Operativa 2, 1972, 51–53.
[10] –: Indefinite Quadratic Fractional Programming.Ekonomicko-Matematicky Obzor 8, 1972, 191–199.
[11] –: Variation in Parameters of Quadratic Fractional Functional Programming.Revue Belge de Statistique d’Informatique et de Recherche Opérationelle 11 (4), 1972, 3–12.
[12] –: Transportation Technique for Quadratic Fractional Programming.Revue Belge de Statistique d’Informatique et de Recherche Opérationelle 12 (2), 1972, 3–7.
[13] –: Upper Bounds and Quadratic Fractional Functional Programming.Revue Belge de Statistique d’Informatique et de Recherche Opérationelle 12 (4), 1973, 17–21.
[14] –: Indefinite Quadratic Fractional Programming with a Quadratic Constraint.Cahiers du Centre d’Etudes de Recherche Opérationelle 15, 1973, 405–410. · Zbl 0274.90041
[15] –: Quadratic Fractional Functional Programming.Cahiers du Centre d’Etudes de Recherche Opérationelle 15, 1973, 157–165.
[16] Aggarwal, S.P., and S. Arora: A Special Class of Non-Linear Fractional Functional Programming Problems.SCIMA, Journal of Management Science and Applied Cybernetics 3, 1974, 30–39. · Zbl 0311.90069
[17] Aggarwal, S.P., and O. Parkash: Duality in General Linear Fractional Functional Programming.Cahiers du Centre d’Etudes de Recherche Opérationelle 20, 1978, 75–81. · Zbl 0371.90117
[18] Aggarwal, S.P., and P.C. Saxena: Duality Theorems for Fractional Functional Programming with Quadratic Constraint.Ekonomicko Matematicky Obzor. 10, 1974, 86–92. · Zbl 0286.90057
[19] –: Duality Theorems for Non-Linear Fractional Programs.Zeitschrift für Angewandte Mathematik und Mechanik 55, 1975, 523–525. · Zbl 0315.90069 · doi:10.1002/zamm.19750550908
[20] –: The Decomposition Method for Linear Programming Problems with Linear and Fractional Target Functions.Przeglad Statyst 23, 1976, 211–219.
[21] –: A Class of Fractional Functional Programming Problems.New Zealand Operational Research 7, 1979, 79–90. · Zbl 0436.35057
[22] Aggarwal, S.P., and I.C. Sharma: Maximization of the Transmission Rate of a Discrete Constant Channel.Unternehmensforschung 14, 1970, 152–155. · Zbl 0195.20502 · doi:10.1007/BF01918259
[23] Aggarwal, S.P., and K. Swarup: Fractional Functional Programming with a Quadratic Constraint.Operations Research 14, 1966, 950–956. · Zbl 0161.17203 · doi:10.1287/opre.14.5.950
[24] Aggarwal, V., S. Chandra, and K.P. Nair: Discounted Stochastic Ratio Games.Journal of Optimization Theory and Applications 27, 1977, 27–37. · Zbl 0326.90064 · doi:10.1007/BF00932541
[25] Agrawal, S.C.: On Integer Solutions to Linear Fractional Functional Programming Problems.Acta Ciencia Indica 1, 1975, 203–208. · Zbl 0372.90109
[26] –: On Integer Solutions to Linear Fractional Functional by a Branch and Bound Technique.Acta Ciencia Indica 2, 1976, 75–78. · Zbl 0375.90063
[27] –: An Alternative Method on Integer Solutions to Linear Fractional Functionals by a Branch and Bound Technique.Zeitschrift für Angewandte Mathematik und Mechanik 57, 1977, 52–53. · Zbl 0356.65063 · doi:10.1002/zamm.19770570111
[28] Agrawal, S.C., and M. Chand: On Integer Solutions to Complementary Programming Problems with Linear Fractional Objective Function by a Branch and Bound Technique.Acta Ciencia Indica 4, 1978, 283–289. · Zbl 0409.90080
[29] –: On Intersection Cuts in Fractional Interval Integer Programming.Acta Ciencia Indica 5, 1979, 140–142. · Zbl 0466.90082
[30] –: A Note on the Sum of Linear and Fractional Interval Programming.Revista de Informatica e Investigacion Operativa 20, 1980, 33–36.
[31] Agrawal, S.C., and R.K. Verma: p-Variables Replacement in Linear Fractional Functional Programming.Acta Ciencia Indica 6, 1980, 95–103. · Zbl 0486.90079
[32] Almogy, Y., and O. Levin: Parametric Analysis of a Multi-stage Stochastic Shipping Problem. In: Lawrence, J. (Ed.),Operational Research ’69, Tavistock Publications, London, 1970, 359–370.
[33] –: A Class of Fractional Programming Problems.Operations Research 19, 1971, 57–67. · Zbl 0257.90042 · doi:10.1287/opre.19.1.57
[34] –: The Fractional Fixed-Charge Problems.Naval Research Logistics Quarterly 18, 1971, 307–315. · Zbl 0237.90058 · doi:10.1002/nav.3800180303
[35] Anand, P.: Dual and Parametric Methods in Decomposition for Linear Fractional Programs.Studia Scientarium Mathematicarum Hungarica 6, 1971, 267–275. · Zbl 0239.90032
[36] –: Decomposition Procedure for Linear Fractional Programs with Upper Bounds.Zeitschrift für Angewandte Mathematik and Mechanik 53, 1973, 635–636. · Zbl 0265.90054 · doi:10.1002/zamm.19730530909
[37] Anand, P., and K. Swarup: The Procedure for Local Separable Programming.Zeitschrift für Angewandte Mathematik und Mechanik 50, 1970, 320–321. · Zbl 0196.23002 · doi:10.1002/zamm.19700500511
[38] Anzai, Y.: On Integer Fractional Programming.Journal of the Operations Research Society of Japan 17, 1974, 49–66. · Zbl 0278.90052
[39] Arbuzova, N.I.: Interdependence of the Stochastic{\(\epsilon\)}-Stabilities of Linear and Linear Fractional Programming Problems of a Special Form (Russian).Ekonom. i Mat. Metody 4, 1968, 108–110.
[40] Arisawa, S., and S.E. Elmaghraby: Optimal Time-Cost Trade Offs in GERT-Networks.Management Science 18, 1972, 589–599. · Zbl 0241.90063 · doi:10.1287/mnsc.18.11.589
[41] Armstrong, R., et al.: Effective Solution of Non-Convex Multi-Objective Ratio Goal Problems.Research Report CCS 390, Center for Cybernetic Studies, University of Texas, Austin, 1980.
[42] Arora, S.R.: A Set Partitioning Problem with Linear Fractional Objective Function.Indian Journal of Pure and Applied Mathematics 8, 1977, 961–968. · Zbl 0371.90119
[43] –: A Note on Fractional Fixed Charge Problems.New Zealand Operational Research 5, 1977, 66–71.
[44] Arora, S.R., and S.P. Aggarwal: Dynamic Programming Approach to Linear Fractional Functional Programming.Revue Belge de Statistique d’Informatique et de Recherche Opérationelle 17, 1977, 10–23. · Zbl 0391.90085
[45] –: Linear Fractional Functional Programming with a Parameter in an Activity Vector.Economic Computation and Economic Cybernetics Studies and Research 3, 1977, 37–56. · Zbl 0373.90061
[46] Arora, S.R., and M.C. Puri: Enumeration Technique for the Set Covering Problem with a Linear Fractional Functional as the Objective Function.Zeitschrift für Angewandte Mathematik und Mechanik 57, 1977, 181–186. · Zbl 0364.90066 · doi:10.1002/zamm.19770570307
[47] Arora, S.R., M.C. Puri and K. Swarup: The Set Covering Problem with Linear Fractional Functionals.Indian Journal of Pure and Applied Mathematics 8, 1977, 578–588. · Zbl 0434.90093
[48] –: Cutting Plane Technique for Set Covering Problem with Linear Fractional Functional.Zeitschrift für Angewandte Mathematik und Mechanik 57, 1977, 597–602. · Zbl 0367.90095 · doi:10.1002/zamm.19770571006
[49] Artjuhin, A.V.: An Algorithm for the Solution of the Distribution Problem of Parametric Fractional Linear Programming (Russian).Izdat. ”Ilim”, Frunze, 1973, 30–36.
[50] -: Some Applications of Parametric Fractional Linear Programming (Russian).Izdat., ”Ilim”, Frunze, 1973, 37–54.
[51] Ashton, D.J., and D.R. Atkins: Multi-Criteria Programming for Financial Planning.Journal of the Operational Research Society 30, 1979, 259–270. · Zbl 0393.90048
[52] Avriel, M.:Nonlinear Programming: Analysis and Methods, Prentice-Hall, Englewood-Cliffs, N.J., 1976. · Zbl 0361.90035
[53] Avriel, M., et al.: Introduction to Concave and Generalized Concave Functions. In: Schaible, S., and W.T. Ziemba, (eds.),Generalized Concavity in Optimization and Economics, Academic Press, New York, 1981, 21–50. · Zbl 0539.90087
[54] Avriel, M., and S. Schaible: Second-Order Characterizations of Pseudo-Convex Functions.Mathematical Programming 14, 1978, 170–185. · Zbl 0382.90071 · doi:10.1007/BF01588964
[55] Awerbuch, S., J.G. Ecker and W.A. Wallace: A Note: Hidden Nonlinearities in the Application of Goal Programming.Management Science 22, 1976, 918–920. · Zbl 0327.90028 · doi:10.1287/mnsc.22.8.918
[56] Babayev, D.A.: Mathematical Models for Optimal Timing of Drilling on Multilayer Oil and Gas Fields.Management Science 21, 1975, 1361–1369. · Zbl 0308.90045 · doi:10.1287/mnsc.21.12.1361
[57] –: A General Fractional Programming Problem (Russian).Central. Èkonom.-Mat. Inst., Akad. Nauk SSSR, Moscow, 1976.
[58] Bakhshi, H.C.: Sensitivity Analysis in Linear Fractional Functional Programming Problems with Extreme Point Restriction.SCIMA, Journal of Management Science and Applied Cybernetics 8, 1979, 6–15. · Zbl 0433.90078
[59] Bakhshi, H.C., and M.C. Puri: An Efficient Technique for Extreme Point Mathematical Programming Problems.Cahiers du Centre d’Etudes de Recherche Opérationelle 21, 1979, 257–268. · Zbl 0418.90062
[60] Baluta, M., V. Dobrescu and G. Paun: Algorithm for Solving a Combinatorial Problem of Optimal Selection.Economic Computation and Economic Cybernetics Studies and Research 1, 1979, 87–95. · Zbl 0407.90081
[61] Banker, R.D.: A Gametheoretic Approach to Measuring Efficiency.European Journal of Operational Research 5, 1980, 262–266. · Zbl 0444.90058 · doi:10.1016/0377-2217(80)90058-2
[62] Banker, R.D., et al.: A Bi-Extremal Principle for Frontier Estimation and Efficiency Evaluations.Management Science 27, 1981, 1370–1382. · Zbl 0473.90001 · doi:10.1287/mnsc.27.12.1370
[63] Bansal, S.: Absolute Value Linear Fractional Programming.Cahiers du Centre D’Etudes de Recherche Opérationelle 23, 1981, 43–52.
[64] Barlow, R.E., and F. Proschan:Mathematical Theory of Reliability. Wiley, New York, 1965. · Zbl 0132.39302
[65] Barrodale, I.: Best Rational Approximation and Strict Quasiconvexity.SIAM J. of Numerical Analysis 10, 1973, 8–12. · Zbl 0262.41034 · doi:10.1137/0710002
[66] Bazaara, M.S., and C.M. Shetty:Nonlinear Programming, Theory and Algorithms. J. Wiley, New York, 1979.
[67] Beale, E.M.L.: Fractional Programming with Zero-One Variables. In: Fiacco, A.V., and K.O. Kortanek (Eds.),Extremal Methods and Systems Analysis. Springer, Berlin, 1980, 430–432. · Zbl 0425.90077
[68] Becher, O.: Das Problem der optimalen Routenwahl einer Transporteinheit bei Beschäftigung mit Gelegenheitsfahrten.Zeitschrift für die gesamte Staatswissenschaft 121, 1965, 196–221.
[69] Bector, C.R.: Nonlinear Fractional Functional Programming with Nonlinear Constraints.Zeitschrift für Angewandte Mathematik und Mechanik 48, 1968, 284–286. · Zbl 0165.53905 · doi:10.1002/zamm.19680480409
[70] –: Duality in Fractional and Indefinite Programming.Zeitschrift für Angewandte Mathematik und Mechanik 48, 1968, 418–420. · Zbl 0174.51303 · doi:10.1002/zamm.19680480608
[71] –: Programming Problems wiht Convex Fractional Functions.Operations Research 16, 1968, 383–391. · Zbl 0159.48505 · doi:10.1287/opre.16.2.383
[72] –: Some Aspects of Nonlinear Indefinite Fractional Functional Programming.Cahiers du Centre d’Etudes de Recherche Opérationelle 12, 1970, 22–34.
[73] –: Indefinite Quadratic Fractional Functional Programming.Metrika 18, 1971, 21–30. · Zbl 0225.90034 · doi:10.1007/BF02614233
[74] –: Duality in Nonlinear Fractional Programming.ZOR – Zeitschrift für Operations Research 17, 1973, 183–193. · Zbl 0267.90086 · doi:10.1007/BF01951417
[75] –: On Convexity, Pseudo-Convexity and Quasi-Convexity of Composite Functions.Cahiers du Centre d’Etudes de Recherche Opérationelle 15, 1973, 411–428.
[76] –: Duality in Linear Fractional Programming.Utilitas Mathematica 4, 1973, 155–168. · Zbl 0271.90048
[77] –: A Note on a Dual Fractional Program.Cahiers du Centre d’Etudes de Recherche Opérationelle 16, 1974, 107–115.
[78] Bector, C.R., M.K. Bector and J.E. Klassen: Duality for a Nonlinear Programming Problem.Utilitas Mathematica 11, 1977, 87–99. · Zbl 0357.90055
[79] Bector, C.R., and S.K. Bhatt: A Linearization Technique for Solving Interval Linear Fractional Programs. In: Proceedings of the Fifth Manitoba Conference on Numerical Mathematics, Congressus Numerantium. No. XVI, Winnipeg,Utilitas Mathematica, 1976, 221–229. · Zbl 0336.65033
[80] –: Pseudo-Monotonic Interval Programming.Naval Research Logistics Quarterly 25, 1978, 309–314. · Zbl 0404.90054 · doi:10.1002/nav.3800250211
[81] Bector, C.R., S. Chandra and T.R. Gulati: Duality for Complex Nonlinear Fractional Programming Over Cones. In: Proceedings of the Third Manitoba Conference on Numerical Mathematics, Winnipeg,Utilitas Mathematica 1974, 87–103. · Zbl 0323.90052
[82] -: Duality for Fractional Control Problems. In: Proceedings of Fifth Manitoba Conference on Numerical Mathematics, Winnipeg,Utilitas Mathematica, 1976, 231–241.
[83] –: A Lagrangian Approach to Duality for Complex Nonlinear Fractional Programming Over Cones.Mathematische Operationsforschung und Statistik, Series Optimization 8, 1977, 17–25.
[84] Bector, C.R., and T.R. Grover: Minimizing Certain Nonconvex Quadratic Fractional Programs by Ranking the Extreme Points. In: Proceedings of the Second Manitoba Conference on Numerical Mathematics, Congressus Numerantium, Winnipeg,Utilitas Mathematica, 1973, 95–100. · Zbl 0307.90075
[85] Bector, C.R., and P.L. Jolly: Pseudo Monotonic Integer Programming. In:Proceedings of the Manitoba Conference on Numerical Mathematics and Computing, 1979, 211–218.
[86] Bedi, M.K.: Duality for a Special Class of Quasi-Convex Programming Problems.Zeitschrift für Angewandte Mathematik und Mechanik 58, 1978, 165–166. · Zbl 0375.90060 · doi:10.1002/zamm.19780580309
[87] Behringer, F.A.: Lexicographic Quasiconcave Multiobjective Programming.ZOR – Zeitschrift für Operations Research 21, 1977, 103–116. · Zbl 0362.90101 · doi:10.1007/BF01919766
[88] Belen’Kij, A.S.: Minimax Problem with Linear Constraints.Automation and Remote Control 41, 1980, 562–568; translated fromAvtom. Telemekh 4 (Russian), 1980, 151–158.
[89] Bell, E.J.: Primal-Dual Decomposition Programming.Ph.D. Thesis, Operations Research Center, University of California, Berkeley, 1965.
[90] Bellman, R.:Dynamic Programming. Princeton University Press, Princeton, 1957. · Zbl 0077.13605
[91] Belykh, V.M., and M.K. Gavurin: Minimization Algorithm for a Linear-Fractional Function (Russian).Vestnik Leningradskogo Universiteta, Matematika, Mehanika, Astronomija 4, 1980, 10–15. · Zbl 0456.90085
[92] Bereanu, B.: Distribution Problems in Stochastic Linear Programming and Minimum Risk Solutions, (Roumanian).Dissertation Abstract, Faculty of Mathematics and Mechanics, Bucharest, 1963.
[93] –: Solutions of Minimum Risk in Linear Programming (Roumanian).Analele Universitatii Bucuresti, Seria Stiintele Naturii, Matematica-Mecanica 13, 1964, 121–140.
[94] -: Programme de Risque Minimal en Programmation Linéaire Stochastique.Compte Revue Academie Science, Paris, 1964, 981–983. · Zbl 0123.37301
[95] –: Decision Regions and Minimum Risk Solutions in Linear Programming. In: Prekopa, A. (ed.),Colloquium on Applications of Mathematics to Economics, Hungarian Academy of Sciences, Budapest, 1965, 37–42.
[96] -: Quasi-Convexity, Strict Quasi-Convexity and Pseudo-Convexity of Composite Objective Functions.Revue Francaise d’Automatique, Informatique et Recherche Opérationelle, 1972, 15–26. · Zbl 0268.90052
[97] Bergthaller, C.A.: Quadratic Equivalent of the Minimum Risk Problem.Revue Roumaine de Mathematiques Pures et Appliquees 15, 1970, 17–23. · Zbl 0196.22901
[98] Bessent, A., and W. Bessent: Determining the Comparative Efficiency of Schools through Data Envelopement Analysis.Research Report CCS 361, Center for Cybernetic Studies, University of Texas, Austin, December 1979.
[99] Bessent, A., et al.: An Application of Mathematical Programming to Assess Managerial Efficiency in the Houston Independent School District.Research Report CCS 373, Center for Cybnertic Studies, University of Texas, Austin, November. 1981.
[100] Bhatia, D., and B. Gupta: Efficiency in Certain Nonlinear Fractional Vector Maximization Problems.Indian Journal of Pure and Applied Mathematics 11, 1980, 669–672. · Zbl 0431.90075
[101] Bhatia, H.L.: Solid Transportation Problem in Linear Fractional Programming.Revue Belge de Statistique d’Informatique et de Recherche Opérationelle 18, 1978, 35–50.
[102] Bhatt, S.K.: Sequential Unconstrained Minimization Technique for a Non-Convex Program.Cahiers du Centre d’Etudes de Recherche Opérationelle 15, 1973, 429–435. · Zbl 0277.90061
[103] –: An Existence Theorem for a Fractional Control Problem.Journal of Optimization Theory and Applications 11, 1973, 379–385. · Zbl 0256.49005 · doi:10.1007/BF00932487
[104] –: Generalized Pseudo-Convex Programming in Real Banach Space and Duality.Cahiers du Centre d’Etudes de Recherche Opérationelle 16, 1974, 7–16.
[105] –: Linearization Technique for Linear Fractional and Pseudo-Monotonic Programs Revisited.Cahiers du Centre d’Etudes de Recherche Opérationelle 23, 1981, 53–56.
[106] Bitran, G.R.: Experiments with Linear Fractional Problems.Naval Research Logistics Quarterly 26, 1979, 689–693. · Zbl 0496.90076
[107] Bitran, G.R., and T.L. Magnanti: Duality and Sensitivity Analysis for Fractional Programs.Operations Research 24, 1976, 675–699. · Zbl 0361.90073 · doi:10.1287/opre.24.4.675
[108] Bitran, G.R., and A.G. Novaes: Linear Programming with a Fractional Objective Function.Operations Research 21, 1973, 22–29. · Zbl 0259.90046 · doi:10.1287/opre.21.1.22
[109] Blau, R.A.: Decomposition Technique for the Chebychev Problem.Operations Research 21, 1973, 1157–1162. · Zbl 0269.90047 · doi:10.1287/opre.21.5.1157
[110] Böhm, H.H.: Die Maximierung der Kapitalrentabilität.Zeitschrift für Betriebswirtschaft 32, 1962, 489–512.
[111] Borwein, J.M.: Fractional Programming Without Differentiability.Mathematical Programming 11, 1976, 283–290. · Zbl 0357.90054 · doi:10.1007/BF01580396
[112] Bradley, S.P., and S.C. Frey: Fractional Programming with Homogeneous Functions.Operations Research 22, 1974, 350–357. · Zbl 0282.90044 · doi:10.1287/opre.22.2.350
[113] Brender, D.M.: A Surveilance Model for Recurrent Events.IBM Watson Research Center Report, 1963.
[114] Bühler, W.: A Note on Fractional Interval Programming.Zeitschrift für Operations Research 19, 1975, 29–36. · Zbl 0303.90051 · doi:10.1007/BF01958598
[115] Bühler, W., und R. Dick: Stochastische lineare Optimierung. Teil I,Zeitschrift für Betriebswirtschaft 42, 1972, 667–692; Teil II,Zeitschrift für Betriebswirtschaft 43, 1973, 101–120.
[116] Bühler, W., and N. Newinger: On the Convergence of Martos’ Hyperbolic Programming Algorithm.Arbeitsbericht, Lehrstuhl für Unternehmensforschung, Rheinisch – Westfälische Technische Hochschule, Aachen, 1973.
[117] Cabot, A.V.: Maximizing the Sum of Certain Quasiconcave Functions Using Generalized Benders Decomposition.Naval Research Logistics Quarterly 25, 1978, 473–482. · Zbl 0393.90071 · doi:10.1002/nav.3800250309
[118] Callahan, J.R., and C.R. Bector: Optimization with General Stochastic Objective Functions.Proceedings of the Third Manitoba Conference on Numerical Mathematics, 1973, 127–137.
[119] Cambini, A.: Un Algoritmo per il Massimo del Quoziente di Due Forme Affini con Vincoli Lineari.Paper No. A-42, Department of Operations Research, University of Pisa, Italy, 1977.
[120] –: Sulla Programmazione Lineare Frazionaria Stocastica.Paper No. A-50, Dipartimento di Recerco Operativa e Scienze Statistiche, Università di Pisa, Italy, 1978.
[121] –: An Algorithm for a Special Class of Fractional Programs. In: Schaible, S., and W.T. Ziemba (eds.),Generalized Concavity in Optimization and Economics, Academic Press, New York, 1981, 491–508. · Zbl 0462.60072
[122] Cambini, A., L. Martein and L. Pellegrini: Decomposition Methods and Algorithms for a Class of Non-linear Programming Problems.First Meeting AFCET-SMF Palaiseau, Ecole Polytechnique Palaiseau Paris, 1978, 179–189. · Zbl 0482.90082
[123] Černov, J.P.: Several Problems of Parametric Fractional Linear Programming (Russian).Optimal. Planirovanie Vyp. 16, 1970, 98–111.
[124] –: A Certain Problem of Parametric Linear-Fractional Programming (Russian).Izvestija Akademii Nauk Kirgizskoi SSR 3, 1970, 20–27.
[125] –: The Problems of Fractional Programming with Linear Separable and Quadratic Functions (Russian).Èconom. i Mat. Metody 7, 1971, 721–732.
[126] –: An Application of the {\(\delta\)}-Method to the Solution of Fractional Programming Problems with Separable Functions (Russian).Mathematical Methods for the Solution of Economic Problems (Suppl. to Èkonom. i Mat. Metody 3), 1972, 68–73.
[127] Černov, J.P., and E.G. Lange: A Transport Problem of Fractional Programming (Russian).Optimal. Planirovanie Vyp. 16, 1970, 112–132.
[128] Černov, J.P., and E.G. Lange: An Application of the Method of Successive Computations to the Solution of a Certain Class of Fractional Concave Programming Problems (Russian).Mathematical Methods of Solution of Economic Problems (Suppl. to Èkonom. i Mat. Metody 5), 1974, 37–49.
[129] Černov, J.P., E.G. Lange and A. Žusupbaev: Application of the Successive Calculation Method to Solving a Production Allocation Problem with a Fractional-Convex Functional (Russian).Izvestija Akademii Nauk Kirgizskoi SSR 2, 1979, 27–34.
[130] Chadha, S.S.: A Decomposition Principle for Fractional Programming.Opsearch 4, 1967, 123–132. · Zbl 0242.90049
[131] –: An Extension of Upper Bounded Technique for a Linear Fractional Program.Metrika 20, 1969, 25–35. · Zbl 0254.90047 · doi:10.1007/BF01893797
[132] –: A Linear Fractional Functionals Program with Variable Coefficients.Revue de la Faculte des Sciences de l’Universite d’Instanbul, Serie A 36, 1971, 7–13.
[133] –: A Dual Fractional Program.Zeitschrift für Angewandte Mathematik und Mechanik 51, 1971, 560–561. · Zbl 0247.90057 · doi:10.1002/zamm.19710510709
[134] –: A Linear Fractional Functional Program with a Two Parameter Objective Function.Zeitschrift für Angewandte Mathematik und Mechanik 51, 1971, 479–481. · Zbl 0249.90065 · doi:10.1002/zamm.19710510609
[135] –: A Generalized Upper Bounded Technique for a Linear Fractional Program.Metrika 20, 1973, 25–35. · Zbl 0254.90047 · doi:10.1007/BF01893797
[136] –: Duality Theorems for a Generalized Linear and Linear Fractional Program.Cahiers du Centre d’Etudes de Recherche Opérationelle 15, 1973, 167–173.
[137] –: A Decomposition Principle for a Generalized Linear and Piece-wise Linear Program.Trabajos de Estadistica e Investigacion Operativa 28, 1977, 85–92. · Zbl 0438.90094 · doi:10.1007/BF02898050
[138] Chadha, S.S., and J.M. Gupta: Sensitivity Analysis of the Solution of a Generalized Linear and Piece-Wise Linear Program.Cahiers du Centre d’Etudes de Recherche Opérationelle 18, 1976, 309–321. · Zbl 0345.90028
[139] Chadha, S.S., and R.N. Kaul: A Dual Nonlinear Program.Metrika 19, 1972, 18–22. · Zbl 0251.90046 · doi:10.1007/BF01893272
[140] –: A Linear Fractional Functional Program with Variable Coefficients.Journal of Mathematical Sciences 7, 1972, 15–20.
[141] Chadha, S.S., and S. Shivpuri: A Simple Class of Parametric Linear Fractional Functionals Programming.Zeitschrift für Angewandte Mathematik und Mechanik 53, 1973, 644–646. · Zbl 0271.90049 · doi:10.1002/zamm.19730530915
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