C U R R I C U L U M V I T A E AND LIST OF PUBLICATIONS Date 01.11.98 Personal Details Name Lev Bregman Date and place of birth: 31.01.41, Leningrad, USSR Date of immigration: 11.09.91 Address and telephone number at work St. 4 Yehuda Hanakhtom str, 84311 Beer-Sheva, Israel Tel. (07) 6231313 Address and telephone number at home St. Moshe Sharet 40 apt 12, Beer-Sheva 84785, Israel Tel. (07) 6437728 Education M. Sc. in Mathematics. 1958-1963 Leningrad University, Mathematical Department. Advisor Dr. R.Sheinman Thesis: Working out the calendar-volume plan for series production shop using electronic computer. Honors Diploma. Ph. D. in Mathematics, 1963-1966 Leningrad University, Mathematical Department. Advisor Prof. J.V.Romanovsky Thesis: Relaxation method for finding a common point of convex sets and its applications The scientific advisor to 3 graduate students. 2 of them have received Ph. D. Degrees. Employment History 1993-present. Institute for Industrial Mathematics, Beer-Sheva, Research worker. - An algorithm and computer system for optimal cutting big rolls of paper into sheets are developed. - An algorithm and computer system for optimal storage and transportation with uncertainty are developed. - A computer system for simulation of complicated transportation-storage system and for optimization of its parameters is constructed. - An algorithm and computer system for optimization of telephone networks with rihgs is developed. - Computer systems for special problems of image processing are developed. - A proposals for improvement of the organization in surgeon divisions are elaborated. - A proposal for construction of an optimal structure of connection system is elaborated. - Asymptotic behavior of large closed queuing networks is investigated. 1992 Ben-Gurion University of the Negev, Beer-Sheva. Research worker. - Courses in programming (Pascal Macintosh) and Mathematical Logic and Set Theory for students of the first stage. - Algorithms for optimal synthesis and decomposition of control automata are developed and their efficiency is investigated experimentally. - Algorithms for finding an equilibrium point in n-person resources allocation games are developed. 1966-1991 University, Leningrad. The Senior research worker, the research worker - Courses for students of the Math.- Mech. Department in optimization problems, mathematical programming, discrete programming, computation methods in the mathematical programming, software for mathematical programming are developed. - Special method in convex programming (Bregman's method) applicable in particular to transportation analysis is developed. - Investigations in the combinatorial matrix theory are carried out. Minc's permanent conjecture is proved. - Methods of finding the equilibrium points in special types of non-cooperative games of resources allocation are developed. - Methods of solution of very large linear programming problems and games based on the column generation technique are developed. - A principle of the choice of the solution in the arbitration schemes with an ideal point is developed. - The computer control system for the foundry production is designed. - The system of the optimal planning of the wire section is designed. - The linear programming systems based on the column generation technique for IBM-360/370 and other types of computers (Elbrus, ODRA-1204) are designed. - The system for computing of the payment for the environment pollution is developed. - The coprocess system on the IBM-PC compatible computers is designed. - The system for the complicated structure data management is designed. Teaching 1995-1997 Ben-Gurion University of the Negev, Beer-Sheva. Course in non-linear and dynamic programming. 1996 Ben-Gurion University of the Negev, Beer-Sheva. Course in linear programming. 1992 Ben-Gurion University of the Negev, Beer-Sheva. Course in mathematical logic and set theory. 1991-1992 Ben-Gurion University, Beer-Sheva Course in programming (Pascal Macintosh) for students of the first stage. 1986-1990 Leningrad University, Math. Department. Lectures in Computing Methods of Mathematical Programming and Software for Mathematical Programming for Students of the 4-th and 5-th years. 1975-1985 Leningrad University, Math. Department. Lectures in Discrete Programming for Students of the 4-th year. 1983-1988 Skill Improving Courses of Higher Educational Teachers. Lectures in Software and Algorithmic Languages. 1970-1974 Leningrad University, Math. Department. Lectures in Optimization Problems for Students of the Third year. 1966-1969 Leningrad University, Math. Department. Lectures in the Mathematical Programming for Students of the 4-th year. Memberships in Professional Association Since 1971 Leningrad Mathematical Society 1980 - 1986 The All-Union Commission of Application of the Optimal Planning and Computers in the National Economy (headed by L.V.Kantorovitch). Since 1992 Israel Mathematical Society Since 1993 Israel Society of Operational Research. Honors and awards 1969 Silver medal on VDNH - the All-union exhibition of the progress in the national economy for the computer control system for the foundry production. 1992 The prize of Israel Ministry of Science for excellent scientists olim. Scientific Publications Books 1. L.Bregman, Z. Rakhman "The Computation of Optimal Daily Schedules" LDNTP (Leningradskij dom nauchno-tecnicheskoj propagandy) 24 p., 1970 2. L,Bregman, S.Surin "LP-LGU System". Leningrad University 48 p., 1985 Refereed articles of scientific journals 1. Bregman L. "The method of Successive Projection for Finding a Common Point of Convex Sets". Dokl. Akad. Nauk SSSR, v. 162, No. 3, 1965, p.p. 487-490. (English translation: Soviet Math. Dokl., 1965, p.p. 688-692). 2. Bregman L. "A Relaxation Method of Finding a Common Point of Convex Sets and its Application to Problems of Optimization". Dokl. Akad. Nauk SSSR, v. 171, No. 5, 1966, p.p. 1019-1022. (English translation: Soviet Math. Dokl., v. 7, 1966, p.p. 1578-1581). 3. Bregman L. "The Proof of the Sheleikhovsky's Method Convergence for the Problems with Transportation Restrictions". J. Wych. Math. and Math. Phys., v. 7, No. 1, 1967, p.p. 147-156. 4. Bregman L. "A Relaxation Method of Finding a Common Point of Convex Sets and its Application to the Solution of Convex Programming Problems". J. Wych. Math. and Math. Phys., v. 7, No. 3, 1967, p.p. 620-631. 5. Bregman L. "An Algorithm of Solution of Convex Programming Problems with the Relaxation Method". In "Optimal Planning", 12. Novosibirsk, 1969, p.p. 91-94. 6. Bregman L., Fokin I. "On the Structure of Optimal Strategies in some Matrix Games". Dokl. Akad. Nauk SSSR, v. 188, No. 5, 969, p.p. 1019-1022. (English translation: Soviet Math. Dokl., v. 10, 1969, p.p. 1208-1211). 7. Bregman L. "On an Approach to the Integer Programming Problems". In "Operations Research and Simulation", 1, Leningrad, LGU, 1972. p.p. 42-47. 8. Bregman L., Dvorkin S., Melekh E. "The Optimal Planning of the Wire Factory". In "Operations Research and Simulation", 1, Leningrad, LGU, 1972. p.p. 47-53. 9. Bregman L., Fokin I. "On the Sums of Matrix Games". Economika i Math. Metody, v 9, No. 1, 1973, p.p. 148-154. 10. Bregman L. "Some Properties of Nonnegative Matrices and their Permanents". Dokl. Akad. Nauk SSSR, v. 211, No. 1, 1973, p.p. 27-30. (English translation: Soviet Math. Dokl., v. 14, 1973, p.p. 945-949). 11. Bregman L., Fokin I. "The Method of Solution Sums of Matrix Games". In "Operations Research and Simulation", 2, Leningrad, LGU, 1974. p.p. 37-55. 12. Bregman L., Fokin I. "On the Equivalent Strategies in the Sums of Matrix Games". "Operations Research and Simulation",2, Leningrad, LGU, 1974. p.p. 55-63. 13. Bregman L., Gribov A., Prygichev A., Sorokina M., Surin S., Shindjakov A. "The System LP-LGU for Linear Programming". In "Operations Research and Simulation", 3, Leningrad, LGU, 1975. p.p. 3-64. 14. Bregman L., Romanovsky J. "An Apportionment and Optimization in Allocation Problems". In "Operations Research and Simulation", 3, Leningrad, LGU, 1975. p.p. 137-163. 15. Bregman L. "The Equivalent Strategies in the Sums of Games". Vestnik LGU, Ser. Mathem., Mech., Astron., 13, 1974, p.p. 13-17. 16. Bregman L., Prygichev A., Surin S. "The Improving of the Multiplicative Algorithm of the Simplex Method". "Operations Research and Simulation", 4, Leningrad, LGU, 1977. p.p. 3-50. 17. Bregman L., Surin S. "The Control in Linear Programming System for ODRA-1204" "Operations Research and Simulation", 5, Leningrad, LGU, 1979. p.p. 71-94. 18. Bregman L., Naumova N. "Arbitration Solutions with Ideal Point Generated by Systems of Functions". Dokl. Akad. Nauk SSSR, v. 279, No. 1, 1984, p.p. 16-20. (English translation: Soviet Math. Dokl., v. 30, 1984, p.p. 583-587) 19. Bregman L., Fokin I. "Methods of Finding Equilibrium Points in Zero-Sum Polymatrix Games". Optimizatsija, 40(57), Novosibirsk, 1987, p.p. 70-82. 20. Bregman L. "The Projection Method for Inequalities Systems". Sibirskij Math. J. v. 29, No. 4, 1988, p.p. 23-30. (English translation Sib. Math. J. 29, No. 4, p.p. 531-537). 21. Bregman L. "The Polynomial Algorithm of the Simplex Type for Linear Inequalities Systems". Cybernetika, No. 1, 1990, p.p. 84-87. (English translation Cybernetics, 26, no. 1, 1990,, p.p. 106-110). 22. Bregman L., Vershik A., Gribov A., Romanovsky J. "50 years of Linear Programming". Economika i Math. Methody, v. 26, iss. 2, 1990, p.p. 376-378. 23. Baranov S., Bregman L. "Automata decomposition and synthesis with PLAM". Microprocessing and Microprogramming, v. 38, 1993, p.p. 759-766. 24. Baranov S., Bregman L. "Synthesis of automata from elements with given constraints on their complexity". Journal of Microcomputer Application, v. 17, 1994, p.p. 227-237. 25. Bregman L., Fokin I." On separable non-cooperative zero-sum games". Optimization, v. 44, 1998, pp. 69-84. Unrefered professional articles and publications 1. "A Monthly Distribution of the Production Schedule". In "Proceedings of the Moscow Industrial-Economic Institute", issue 20, 1964, p.p. 107-114 (with A.Gribov). 2. "On the System of the Optimal Planning for Foundry Factories". In "Algorithmization and Programming of Economical Computations", Moscow, 1967, p.p. 106-107 (with V.Muravjev). 3. "The Computation of the Optimal Schedule for a Wire Factory". In "ALGOL Procedures", 6, Leningrad, LGU, 1970. p.p. 2-10. 4. "The Application of the Variable Basis Method to the Optimization of the Production Schedule". In "Proceedings of the Leningrad Industrial-Economic Institute", 94, Leningrad, 1972, p.p. 35-42 (with T.Grechukhina, V.Kabanov, Ju.Matusov, V.Muravjev). 5. "On the Sums on Matrix Games". Math. Apparat Planovyh Raschetov. Moscow, 1972, p.p. 73-83 (with I.Fokin). 6. "On the Equivalent Strategies in the Sums of Matrix Games". In "Advances in the Game Theory'. Vilnus, "Mantis", 1973, p.p. 15-19 (with I.Fokin). 7. "The Non-linear Optimization Problems in the Production Planning". In "Proceedings of the Leningrad Industrial-Economic Institute", 120, Leningrad, 1976, p.p. 35-42 (with T.Grechukhina, O.Korosteleva, Ju.Matusov, A.Shindjakov). 8. "The Optimization of the Reactive Capacity Distribution in the Electric Net of the Factory". Instruktivnye Ukazanija po proektirovaniju electrotekhnicheskikh promyshlennykh ustanovok, 7, Moscow, "Energija", 1979, p.p. 3-7. 9. "The Modification of the Linear Programming System for the Linear Cutting Problems". In "Software for the Linear and Rectangle Cutting problems", Ufa, 1981, p.p. 87-102 (with A.Kurmangaleeva, J. Romanovsky). 10. "The Optimization of the Reactive Capacity Distribution in the Electric Net". In "ALGOL Procedures", 15, LGU, 1982, p.p. 3-8. 11. "The Balash's Additive Algorithm for Integer Programming Problems". In "ALGOL Procedures", 15, LGU, 1982, p.p. 9-10. 12. "The Application of the System LP-LGU for the Cutting Problems". In "Software for ACS", Kalinin,1983 (with S.Ibatullina, A.Kurmangaleeva). 13. "The Package Mode of the Simplex Method. The Main Structures". In "Application Program Systems. Optimization Methods", Moscow, "Nauka", 1984, p.p. 35-47 (with S.Dadaev, T.Ivanova, J.Romanovsky, M.Sorokina S.Surin). 14. "The Game Theory Models of the Resources Allocation". In "Mathematical Problems of Ecology", Chita,1988, p.p. 83-85 (with I.Fokin). 15. "The Including of the Polynomial Algorithm for the Solution of Linear Inequalities Systems in the Linear Programming System MPSX/370". In "Methods of the Mathematical Programming and Software", Sverdlovsk, 1989, p.p. 25-26. 16. "On the Method of the Solution the Linear Programming Problems with Unfull Rank Restriction Matrices". In "Methods of the Mathematical Programming and Software", Sverdlovsk, 1989, p.p. 27-28 (with I.Fokin). 17. "The Methods of the Solution the Separable Non-cooperative Zero-Sum Games". In "Methods of the Mathematical Programming and Software", Sverdlovsk, 1991, p.p. 24-25 (with I.Fokin). 18. Bregman L., Rubchinsky A., Vainberg Y. - Tank Farm System Simulation. - Institute for Industrial Mathematics. Technical Report #09-01, 1994. 19. Bregman L., Gelman E., Rubchinsky A. - Some Optimization Problems for Surgery Coordination Centers. - Institute for Industrial Mathematics. Technical Report #06-01, 1995. 20. Bregman L., Kazarinov Y., Model B., Rubchinsky A., Sokolovsky B., Virtzer A. - Ring Optimization Problem. – Institute for Industrial Mathematics. Technical Report #01-01, 1996. 21. Bregman L., Gelman E., Kazarinov Y., Levant A., Margulis A., Model B., Rubchinsky A., Vainberg Y. - Real-time Image Implantation in TV Broadcasting. - Institute for Industrial Mathematics. Technical Report #04-01, 1997. 22. Bregman L., Levant A., Margulis A. – Elimination of Bending Effect in Large-poster printing. - Institute for Industrial Mathematics. Technical Report #07-01, 1997. Lectures and Presentation at Meetings and invited seminars 1. 1963 "The Methods of Solution some Linear Programming Problems with Large Matrices". "Application of Mathematics and Computer Science in Economics". Leningrad. Abstracts: p.p. 72-74. 2. 1967 "The Planning of the Foundry Factories Work". Symposium "The Economics of the Foundry Production". Leningrad. Proceedings p.p. 33-37. (with Z.Rakhman). 3. 1968 "The Construction of the Optimal Factory Section Schedule with the Danzig-Wolf Method". "Leningrad Industrial-Economic Institute Symposium". Leningrad Abstracts p.40. 4. 1971 "On Positional Games with Additional Information". Second All-Union Game Theory Symposium. Vilnus, Abstracts p.p. 18-19 (with J.Romanovsky). 5. 1971 "On the Equivalent Strategies in the Sums of Matrix Games". Second All-Union Game Theory Symposium. Vilnus, Abstracts p.p. 19-20 (with I.Fokin). 6. 1974 "The Program System "Linear Programming". Third All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p.p. 69-70 (with A.Gribov, A.Prygichev, M.Sorokina, S.Surin, A.Shindjakov). 7. 1974 "The Equivalent Strategies in the Sums of Games". Third All-Union Game Theory Symposium. Odessa Abstracts p. 142 (with I.Fokin). 8. 1976 "The System 'Linear Programming' for IBM 360/370". Fourth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p.p. 47-48 (with A.Gribov, S.Surin). 9. 1978 "The Equilibrium Points in Polymatrix Games with Restrictions". Third All-Union Operations Research Conference Gorkij Abstracts p. 405. 10. 1978 "Linear Programming System with the 'Services' Approach". Fifth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow, Abstracts p.p. 192-193 (with S.Dadaev, T.Ivanova, V.Muravjev, J.Romanovsky, M.Sorokina S.Surin). 11. 1980 "The Module System for Linear Programming". Fifth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p. 194 (with S.Surin). 12. 1980 "The Elaboration and the Testing of Program Systems which based on the Conception 'Service'". Sixth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p.p. 36-37 (with S.Dadaev, T.Ivanova, A.Kurmangaleeva. J.Romanovsky, M.Sorokina S.Surin). 13. 1980 "The Linear Programming System for the Problems with the Algorithmically Constructed Restriction Matrix". Sixth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p. 38-39 (with S.Surin). 14. 1982 "The Algorithm for the Construction of Multilanguage Program Systems". Seventh All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p.p. 53-54. 15. 1983 "The Experience of the Application of the Column Generation in Linear Programming Systems". Second Conference on the Optimal Planning and Control of the National Economy Moscow Abstracts p.p. 19-22 (with J.Romanovsky). 16. 1984 "The Axiom Systems for the Choice a Nearest Point to the Ideal One". Second Seminar in the Optimization and its Application in Economics. Ashkhabad Abstracts p.p. 66-67 (with N.Naumova). 17. 1984 "The Method for the Solution of the Polymatrix Games with Restrictions". Second Seminar in the Optimization and its Application in Economics. Ashkhabad Abstracts p.p. 68-69 (with I.Fokin). 18. 1985 "Some Means to Improving the Quality of the Flexible Software" Conference "Safety and Quality of Software" Kiev, Abstracts p.p. 26-28 (with S.Surin). 19. 1986 "The Projection Method for Inequalities Systems and Linear Programming Problems". Second All-Union Seminar in Optimization and its Applications Dushanbe Abstracts p.p. 46-47. 20. 1986 "The Experiments with the Karmarkar's Method and its Modifications". Ninth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p. 122. 21. 1986 "The Land-Doig's Method in the LP-LGU System". Ninth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p. 123-124 (with M.Sorokina). 22. 1988 "Polynomial Algorithm for Inequalities Systems" Tenth All-Union Symposium on Software Systems for the Optimal Planning Problems Moscow Abstracts p.p. 76-77. 23. 1991 "On local strongly polynomial algorithms for mathematical programming problems" 14th International Symposium on Mathematical Programming Amsterdam 24. 1993 "The Optimal Factorization and Decomposition of Control Automata" 1993 SIAM Annual Meeting Philadelphia Abstracts p. A76 (with S.Baranov) 25. 1993 "Automata decomposition and synthesis with PLAM" 19th EUROMICRO conference Barcelona (with S.Baranov) 26. 1993 "Multiproduct transportation problem with fuzzy data" OR Society of Israel. National Meeting - 1993 Naharia Abstracts p. 31 (with E.Levner and A.Pridor) 27. 1995 "On linear programming problems with non-full rank matrices". 14th European Conference of Operations Research. Jerusalem, 1995. Abstracts p. 2-144 (with I.N. Fokin) 28. 1996 "On separable non-cooperative zero-sum games". Game theory and economics. N.N. Vorob'ev memorial conference. St-Petersburg, 1996. Abstracts p. 7 (with I.N. Fokin) 29. 1996 "Flow optimization in a telephone network with rings". 9th Conference of the European Consortium for Mathematics in Industry. Copenhagen, 1996. Book of abstracts pp. 176-178 (with A.Pridor, A.Rubchinski) Participation informal international in seminars 1990 Unfeasible mathematical programming problems. Chemnitz Technological University Germany 1992 Local Strongly Polynomial Algorithm for Mathematical Programming Problems. Three Optimal Days (A workshop on Computational Optimization. Technion, Israel 1993 Resources Allocation Games Linkoping University Sweden