PROFESSIONAL BIOGRAPHY
CARLTON H. SCOTT
Graduate School of Management
University of California, Irvine
Irvine, CA 92697-3125
Telephone
(Office) (949) 824-5336
(Home) (949) 856-9405
Carlton H. Scott
CARLTON H. SCOTT
EDUCATION
1971
Ph.D.
Applied Mathematics,
The University of New South Wales, Australia
1968
B.Sc.
First Class Honors, Theoretical Physics,
University of Queensland, Australia
EMPLOYMENT HISTORY
1984 to Present
Professor, Operations Management and Quantitative Methods
Graduate School of Management
University of California, Irvine
1985 - 1989
Associate Dean
Graduate School of Management
University of California, Irvine
1982 - 1984
Associate Professor, Operations Management and Quantitative Methods
Graduate School of Management
University of California, Irvine
1978 - 1982
Senior Lecturer, Operations Research and Industrial Management
School of Mechanical and Industrial Engineering
The University of New South Wales, Australia
1972 - 1978
Lecturer, Operations Research and Industrial Management
School of Mechanical and Industrial Engineering
The University of New South Wales, Australia
1971 - 1972
Operations Research Analyst for a firm in the steel industry, Broken Hill Pty., Ltd.
Duties included scheduling, queueing analysis and process optimization.
VISITING APPOINTMENTS
1976
Statistical Laboratory, Cambridge University, U.K.
1979
Operations Research Department, Stanford University
JOINT APPOINTMENT
1996-2001
Page 2
Department of Electrical and Computer Engineering
October 1998
Carlton H. Scott
AWARDS
Faculty Service Award (GSM) 1989
Outstanding Professor Award (Executive MBA) 1990
Lauds and Laurels Distinguished Teaching Award (UCI) 1991
HCEMBA Excellence in Teaching Award (2001)
UCI Excellence in Teaching Award (2001)
PROFESSIONAL ACTIVITIES
Associate Editor
Zeitschrift fur Operations Research (ZOR), Series A: Theory (1990 to 1996)
Associate Editor
International Journal of Quantitative and Operations Management (1994 +)
Member
Operations Research Society of America
Member
American Society for Quality Control
Member
Mathematical Programming Society
Founding Member
TIMS/ORSA, Orange County Chapter
Cluster Chairman
Nonlinear Programming, ORSA/TIMS Conference, Los Angeles, 1986
General Chairman
ORSA/TIMS Conference, Anaheim, 1991.
Cluster Chairman
Nonlinear Programming, ORSA/TIMS Conference, Los Angeles, 1995
Program Co-Chair
INFORMS Conference, San Diego, 1997
Recent Conference Papers (1984 to Present)
1. "Symmetric Duality in Generalized Fractional Programming" - ORSA/TIMS Conference, St. Louis,
1987.
2. "On the Distribution Problem for Convex Programs" - ORSA/TIMS Conference, Washington, 1988..
3. "Consistent Forecasts of Corporate Accounts" - ORSA-TIMS Conference, Denver, 1988.
4. "On Solution Sensitivity for Convex Programs" - ORSA-TIMS Conference, Denver, 1988.
5. “Composite Geometric Programming" - Third SIAM Conference on Optimization, Boston, 1989.
6. "Conjugate Duals for Power Functions" - CORS/TIMS/ORSA Conference, Vancouver, 1989.
7. "On Duality for Mathematical Programs Involving Composite Functions" - TIMS Conference, Osaka,
1989.
8. "Conjugate Duals for Composite Functions" - GMOOR, Ulm, 1989.
Page 3
October 1998
Carlton H. Scott
9. "Conjugate Duality in Composite Mathematical Programming" - ORSA/TIMS Conference, Las
Vegas, 1990.
10. "On Quality Production Plans" - ORSA/TIMS Conference, Philadelphia, 1990.
11. "A Convex Dual for Quadratic-Concave Fractional Programs" - ORSA/TIMS Conference, Nashville,
1991.
12. "Separable Convex Programs with Ratio Constraints over a Directed Tree" - SOR Conference, Trier,
Germany, 1991.
13. "Stochastic Geometric Programming" - University of Karlsruhe, Germany, 1991.
14. "Applications of Dynamic Programming in Manufacturing" - Graduate School of Management,
University of California, Riverside, 1992.
15. "Total Quality Management" - Department of Management, Hong Kong University of Science and
Technology, 1992.
16. "Dynamic Programming Applications in Manufacturing" - SOR Conference, Hamburg, Germany,
1991.
17. "Relocation of Production Lines" ORSA/TIMS Conference, San Francisco, 1992.
18. "On the Optimal Subset of Sizes" ORSA/TIMS Conference, San Francisco, 1992.
19. "Applications of Integer Programming" - Department of Management, Hong Kong University of
Science and Technology, 1993.
20. "Resource Allocation in Project Management Using Geometric Programming" TIMS/ORSA
Conference, Chicago, 1993.
21. "Dynamic Financial Planning: Certainty Equivalence and Stochastic Constraints" ORSA/TIMS
Conference, Phoenix, 1993.
22. "Planning and Scheduling Relocation of Production Lines under Resource Capacity Constraints"
IFORS Conference, Lisbon, Portugal, 1993.
23. "On Queueing Location Problems with Various Objectives" TIMS/ORSA Conference, Boston, 1994.
Page 4
October 1998
Carlton H. Scott
Conference Papers continued
24. "Modeling with Integer Programs in Manufacturing and Service Operations" GSM, UCI, 1994.
25. "Applications of Integer Programming" Operations Research Program, North Carolina State
University, 1994.
26. "Integer Programming in Operations Management" TIMS International Conference, Anchorage,
Alaska, 1994.
27. "Constrained Estimation for Convex Optimization" 15th International Symposium on Mathematical
Programming, Ann Arbor, Michigan, 1994.
28. "Applications of Integer Programming" SOR Conference, Berlin, Germany, 1994.
29. “Selection of an Optimal Subset of Sizes,” INFORMS, Detroit 1994.
30. “Applications of Integer Programming,” OR/OM Day, USC, 1995.
31. “A Strategic Model for Customer Satellite Assignment,” INFORMS, Washington, 1996.
32. “Selection of an Optimal Subset of Sizes,” INFORMS, Washington, 1996.
33. “On the Location of a Central Warehouse,” ISOLDE, Edmonton, 1996.
34. “On Duality for a Sum of Ratios,” INFORMS, San Diego, 1997.
35. “Duality for Convex and Nonconvex Sum of Ratios,” Mathematical Programming Conference,
Lausanne, 1997.
36. “On the Feasible Points of the Weber Problem with Uncertain Weights”, INFORMS, Dallas, 1997.
37. “Quality Tolerancing and Conjugate Duality”, INFORMS, Montreal, 1998.
38. “On a Convex Fractional Program”, INFORMS, Cincinnatti, 1999.
39. “Financial Statement Estimation through Entropy”, INFORMS, Philadelphia, 1999.
40. “Duality for Bilinear Fractional Programs”, INFORMS, Salt Lake City, 2000.
41. “Strategic and Tactical Models for Customer Assignment to a Commercial Satellite” ICOQM-III,
Sydney, 2000
42.
CONSULTING ACTIVITIES
Much of my work in this area has been associated with the development of mathematical models for
decision making and with the statistical analysis of data. Specific engagements have included the
following:
.
.
.
.
Steel Furnace Optimization -- Broken Hill Pty. Ltd. (1971, 1972)
Cost Benefit Analysis of Raw Material Recycling -- Coca Cola Pty. Ltd. (1973)
Market Response to Advertising -- Union Carbide (1974)
Farm Management Policies, Mill Size -- Colonial Sugar Ref. Co. (1975, 1976)
Page 5
October 1998
Carlton H. Scott
.
.
.
.
.
.
.
.
.
.
.
.
.
Liquidity Forecasting, Project Management -- Civil and Civic (1977)
Warehouse Location -- Australian Consolidated Industries (1978)
Production Scheduling -- Blue Metal Industries (1978, 1979)
Ship Replacement Policies -- Australian National Lines (1981)
Statistical Quality Control -- Nashua (1980, 1981)
Network Optimization, Short-Term Investments -- Esso (1981)
Total Quality Control - Sigma Circuits (1988)
Plant Relocation - Parker Hanifin (1989)
Emergency Response System Design - Hartson Medical Services (1990)
Global Manufacturing - Huck Manufacturing (1991)
Resource Deployment - UCI Medical Center (1991)
Total Quality Management - Olec Corp. (1991)
Quality/Worker Empowerment - Baxter Medical (1991)
Statistical Process Control - Allergan (1995)
Re-engineering - Sea Space Corp (1997)
THESES SUPERVISION
Doctor of Philosophy
1. "Quantitative Management Models for a Sugar Cane Farm," by B. Whan
2. "Optimal Marketing-Production Decisions," by C. Chansa-Ngavej
3. "Solution Sensitivity for Convex Programs," by S. Jorjani
4. "On the Economic Justification of a Flexible Manufacturing System," by A. Lee
Master of Engineering Science
1. "Geometric Programming," by W. Green
2. "Recycling: A Cost Benefit Approach," by J. Kedzier
3. "Advertising Response in Marketing," by R. Bruce
4. "Comparison of Penality Functions in Nonlinear Programming," by M. Jaul
5. "Variational Methods in Operations Research," by Y. Lee
6. "Management Decisions via Generalised Geometric Programming," by P. Kerdvonbundit
7. "Mathematical Modelling of a Multiperiodic Stochastic Inventory System," by K. L. Cheah
8. "Nonlinear Multicommodity Flow Problem," by I. Hidayat
9. "Multi-resource Allocation Problems," by P. Manass
Bachelor of Engineering Science
1. "Management Games," by M. Hall
2. "Comparison of Unconstrained Minimization Methods," by S. Hui
3. "Dynamics of Exploited Populations," by W. Chow
4. "Production Scheduling with Workforce Constraints," by S. Jobbins
5. "Optimal Fishing Strategies," by N. Pan
6. "Computational Aspects of Dynamic Programming," by A. Kiatwankul
Page 6
October 1998
Carlton H. Scott
7. "Transients in Series Queues," by I. Robinson
8. "Operations Research in Underdeveloped Countries," by R. Manothirawat
9. "Allocation via Geometric Programming," by C. Kerdvonbundit
10. "Housing Development in Malasia," by K. Ng
11. "Operations Research in the Australian Mining Industry," by A. Lee
12. "Development of an Optimum Ship Replacement Policy," by W. Smith
13. "Oil Distribution Networks," by K. Royal
Page 7
October 1998
Carlton H. Scott
TEACHING ACTIVITIES
University of California, Irvine (1982 to Present)
At the Graduate School of Management, I teach in the regular MBA program, the Executive MBA
program, the Fully Employed MBA program, the Health Care Executive MBA program, and in Executive
Education. Subjects taught include:
. Operations Management
. Quantitative Methods for Management
. Statistics for Management
. Mathematical Optimization for Management
. Seminar in Energy Planning
. Total Quality Management
. Operations Management in Health Care Services
. Convex Programming
. Management of Distributed Service Networks
. Forecasting
University of New South Wales (1972-1982)
These were in areas associated with Operations Research in a School of Mechanical and Industrial
Engineering which caters to both undergraduate and graduate courses. I taught a course in the Australian
Graduate School of Management. Subject names are listed below:
. Operations Research
. Optimization
. Case Studies in Operations Research
. Optimization on Networks
. Optimal Control in Operations Research
. Distribution Management
. Management Science Models
. Management Statistics
. Applied Stochastic Processes
RESEARCH ACTIVITIES
My research interests are in the application of quantitative methods to decision making problems and in
the development of new theory for optimization. I am particularly interested in the uses of mathematical
analysis in the simplification of optimization problems prior to computation, although some of my work has
suggested powerful new computational techniques.
1. Development of a methodology and associated algorithms for models of spatial interaction. This has
been applied in transportation planning, in the forecasting of residential population distribution, and in
mineral processing. (See Publications 6, 8, 15, 18, 19, 28, 37, 43, 58.)
2. A new theory for quasi-concave programming and equilibrium problems which has particular
relevance to economics (29, 38, 39, 40).
Page 8
October 1998
Carlton H. Scott
Research Activities continued
3. Various generalizations of duality theory (9, 10, 11, 12, 13, 21, 22, 25, 30, 49, 50, 52, 61, 62, 63, 64,
65, 68) and its application to:
(a)
Resource Allocation (23, 59)
(b)
Portfolio Analysis (31)
(c)
Linearly Constrained Convex Programs (51)
(d)
Sensitivity Analysis (47)
(e)
Nonlinear Multicommodity Flow Problem (44)
(f)
Minmax Location (53, 68)
(g)
Fractional Programming (35, 39, 62, 76, 77, 78,79)
(h)
Machinery Economics (54, 74)
(i)
Equilibrium (57)
(j)
Composite Functions (65, 66)
(k)
Project Management (72)
(l)
Facility Location (73)
4. Miscellaneous applications of operations research methodology to:
(a)
Sugar Cane Harvesting (4, 17)
(b)
Control of Queues (3)
(c)
Machine Maintenance Policies (26)
(d)
Manufacture of Heart Valves (69)
(e)
Allocation of Work Orders (70)
(f)
Warehouse Location (75)
Currently I am writing a book entitled, "Convex Programming: Analysis and Application," with
T. R. Jefferson, which will highlight the role of prior analysis in facilitating the solution of optimization
problems.
PUBLICATIONS
1. "Nonlinear Optimization Codes," C.R.L. Technical Communication, No. 30, 1971.
2. "Quasiparticles for the Quantum Electron Transport Problem," with E. J. Moore, Physica, Vol. 62,
312-320, 1972.
3. "Optimal Regulation of the Service Rate for a Queue with Finite Waiting Space," with T. R. Jefferson,
Journal of Optimization Theory and Applications, Vol. 20, 245-250, 1976.
4.
"Scheduling Sugar Cane Plant and Ratoon Crops and a Fallow: A Constrained Markov Model,"
with B. M. Whan and T. R. Jefferson, Journal of Agricultural Engineering Research, Vol. 21, 281-289,
1976.
Page 9
October 1998
Carlton H. Scott
Publications (continued)
5. "Quasiparticles for the Classical Electron Impurity Transport Problem," Journal of Physical Society of
Japan, Vol. 40, 326-327, 1976.
6. "Entropy Maximizing Models of Residential Location via Geometric Programming," with
T. R. Jefferson, Geographical Analysis, Vol. 9, 181-187, 1977.
7. "Generalized Geometric Programming with Applications to Various Problems of Operations
Research," with T. R. Jefferson, Proceedings of the 3rd National Conference of the Australian
Society for Operations Research, R. G. J. Mills, ed., 185-198, 1977.
8. "Entropy Models of Spatial Interaction and Geometric Programming," with T. R. Jefferson,
Proceedings of the 3rd National Conference of the Australian Society for Operations Research,
R. G. J. Mills, ed., 175-184, 1977.
9. "Trace Optimization Problems and Generalized Geometric Programming," with T. R. Jefferson,
Journal of Mathematical Analysis and Applications, Vol. 58, 373-377, 1977.
10.
"A Generalization of Geometric Programming with an Application to Information Theory," with
T. R. Jefferson, Information Sciences, Vol. 12, 263-269, 1977.
11.
"Duality for Convex Functionals: Specific Cases," International Journal of Systems Science, Vol. 8,
1313-1320, 1977.
12.
"Duality in Infinite Dimensional Mathematical Programming: Convex Integral Functionals," with
T. R. Jefferson, Journal of Mathematical Analysis and Applications, Vol. 61, 251-261, 1977.
13.
"Duality in Finite Dimensional Complex Space," with T. R. Jefferson, Bulletin of Australian
Mathematical Society, Vol. 18, 65-75, 1978.
14.
"Entropy and Geometric Programming in Transportation Planning," with T. R. Jefferson, Opsearch,
Vol. 15, 22-34, 1978.
15.
"The Analysis of Flexible Entropy Models of Spatial Interaction Using Geometric Programming," with
T. R. Jefferson, Proceedings of 14th Annual Conference of Operational Research Society of New
Zealand, C. A. de Kluyver, ed., Vol. 1, 39-47, 1978.
16.
"Variational Methods in Operations Research," with T. R. Jefferson, Proceedings of 14th Annual
Conference of Operational Research Society of New Zealand, C. A. de Kluyver, ed., Vol. 1, 1-10,
1978.
17.
"A Stochastic Model of Sugar Cane Crop Rotation," with B. M. Whan and T. R. Jefferson, Journal of
Operational Research Society, Vol. 29, 341-348, 1978.
18.
"Forecasting the Effects of Changes in the Work-Place Locations on Residential Development and
Trip Generation," with T. R. Jefferson, P. Walsh, and R. W. Gibberd, Proceedings of the 4th
Australian Transport Research Forum, 549-566, 1978.
19.
"Avenues of Geometric Programming I. Theory," with T. R. Jefferson, New Zealand Operational
Research, Vol. 6, 109-136, 1978.
Page 10
October 1998
Carlton H. Scott
Publications continued
20.
"Generalised Geometric Programming Applied to Problems of Optimal Control I. Theory," with
T. R. Jefferson, Journal of Optimization Theory and Applications, Vol. 26, 117-129, 1978. Reprinted
in Advances in Geometric Programming, M. Avriel, ed., Plenum Press, 151-163, 1980.
21.
"A Duality Approach to Discrete Time Control Theory," with T. R. Jefferson, Journal of Australian
Mathematical Society, Series B, Vol. 20, 257-264, 1978.
22.
"On Finding a Point in the Relative Interior of a Polyhedral Set and Degeneracy in Geometric
Programming," with T. R. Jefferson, Journal of Australian Mathematical Society, Series B, Vol. 20,
487-494, 1978.
23.
"Avenues of Geometric Programming II Applications," with T. R. Jefferson, New Zealand Operational
Research, Vol. 7, 51-68, 1979.
24.
"Geometric Programming Duality Applied to the Resource Allocation Problem," with T. R. Jefferson
and P. Kerdvonbundit, INFOR, Vol. 17, 133-137, 1979.
25.
"Characterisations of Optimality for Continuous Convex Mathematical Programs I. Linear
Constraints," with T. R. Jefferson, Journal of Australian Mathematical Society, Series B, Vol. 21,
37-44, 1979.
26.
"A Bilinear Control Model for Optimal Maintenance," with T. R. Jefferson, International Journal of
Control, Vol. 30, 323-330, 1979.
27.
"Complementary Variational Principles via Generalised Geometric Programming," with
T. R. Jefferson and B. Lederer, Journal of Mathematical Analysis and Applications, Vol. 69, 489-495,
1979.
28.
"The Analysis of Entropy Models with Equality and Inequality Constraints," with T. R. Jefferson,
Transportation Research, Vol. 13B, 123-132, 1979.
29.
"Duality for Quasi-Concave Programs with Applications to Economics," with T. R. Jefferson and M.
Folie, Naval Research Logistics Quarterly, Vol. 26, 611-625, 1979.
30.
"On Geometric Duality for State-Constrained Control Problems," with T. R. Jefferson, Bulletin of
Australian Mathematical Society, Vol. 20, 301-312, 1979.
31.
"The Analysis of Risky Portfolios by Geometric Programming," with T. R. Jefferson and J. Cozzolino,
Zeitschrift fur Operations Research, Series A: Theory, Vol. 23, 205-217, 1979.
32.
"Computational Aspects of Prototype Geometric Programming," with T. R. Jefferson, Proceedings of
4th National Conference of Australian Society for Operations Research, 119-128, 1979.
33.
"Implications of Modern Control Theory in Management Science," with T. R. Jefferson, Proceedings
of 4th National Conference of Australian Society for Operations Research, 302-316, 1979.
34.
"Convex Stochastic Programs with Simple Recourse," with T. R. Jefferson, International Journal of
Systems Science, Vol. 10, 1143-1148, 1979.
35.
"Fractional Programming Duality via Geometric Duality," with T. R. Jefferson, Journal of Australian
Mathematical Society, Series B, Vol. 21, 398-401, 1980.
Page 11
October 1998
Carlton H. Scott
Publications continued
36.
"On Zero Degree of Difficulty Programs and the Distribution Problem," with T. R. Jefferson,
International Journal of Systems Science, Vol. 11, 129-138, 1980.
37.
"On Analysis of an Information Theoretic Model of Spatial Interaction," with T. R. Jefferson,
Information Sciences, Vol. 20, 1-12, 1980.
38.
"A Duality Theory for Quasiconcave Programs," with T. R. Jefferson, Applicable Analysis, Vol. 10,
165-177, 1980.
39.
"Duality for Quasi-Concave Programs with Explicit Constraints," with T. R. Jefferson, Mathematik
Operationsforschung and Statistik, Series Optimization, Vol. II, 519-530, 1980.
40.
"Dual Games," with T. R. Jefferson, Journal of Mathematical Analysis and Applications, Vol. 77,
288-296, 1980.
41.
"Geometric Programming with Probabilistic Decision Variables," with T. R. Jefferson, Journal of
Australian Mathematical Society, Series B, Vol. 22, 229-236, 1980.
42.
"Dimensionality Reduction for a Class of Convex Network Flow Problem," with T. R. Jefferson,
International Journal of Systems Science, Vol. 11, 1499-1503, 1980.
43.
"Duality in Convex Programming and Some Ramifications," with T. R. Jefferson, Proceedings of 5th
National Conference of Australian Society for Operations Research, 68-78, 1981.
44.
"An Algorithm for Nonlinear Multicommodity Flow," with T. R. Jefferson, Proceedings of 5th National
Conference of Australian Society for Operations Research, 120-132, 1981.
45.
"Conjugate Duality for Fractional Programs," with T. R. Jefferson, Journal of Mathematical Analysis
and Applications, Vol. 84, 381-389, 1981.
46.
"Models for Forecasting Residential Populations: The Geometric Programming Approach," with
P. K. Walsh, T. R. Jefferson and R. W. Gibberd, Regional Studies, Vol. 15, 521-531, 1981.
47.
"A Relaxation of the Constraints for a Convex Mathematical Program," with D. K. Kulshrestha and
T. R. Jefferson, New Zealand Operational Research, Vol. 10, 29-34, 1982.
48.
"Lower Bounds for Convex Programs," with T. R. Jefferson, International Journal of Systems
Science, Vol. 13, 1109-1115, 1982.
49.
"Generalized Geometric Programming for Functionals," with T. R. Jefferson, Applicable Analysis,
Vol. 17, 13-22, 1983.
50.
"Duality for Minmax Programs," with T. R. Jefferson, Journal of Mathematical Analysis and
Applications, Vol. 100, 385-392, 1984.
51.
"Theoretical Framework for the Analysis of Linearly Constrained Convex Programs," with T. R.
Jefferson, International Journal of Systems Science, Vol. 15, 617-625, 1984.
52.
"On Duality for Convex Minimization with Nested Maxima," with T. R. Jefferson and E. Sirri, Journal
of Australian Mathematical Society, Series B, Vol. 26, 517-522, 1985.
Page 12
October 1998
Carlton H. Scott
Publications continued
53.
"Solution of Constrained Minmax Location Problems via Conjugate Duality," with B. Murtagh and E.
Sirri, New Zealand Operational Research, Vol. 13, 61-67, 1985.
54.
"Quadratic Geometric Programming Applied to Machining Economics," with T. R. Jefferson,
Mathematical Programming, Vol. 31, 1-16, 1985.
55.
"Duality on Convex Cost Networks," with T. R. Jefferson, Proceedings of 14th Annual Meeting of
American Institute for Decision Sciences (AIDS), Monterey, CA, 103-105, 1985.
56.
"On Duality for Entropy Constrained Programs," with T. R. Jefferson and S. Jorjani, Information
Sciences, Vol. 35, 211-221, 1985.
57.
"Equilibria and Convex Cost Networks," with H. McMillan and T. R. Jefferson, International Journal of
Systems Science, Vol. 17, 1007-1013, 1986.
58.
"An Entropy Approach to Material Balancing in Mineral Processing Circuits," with T. R. Jefferson,
International Journal of Mineral Processing, Vol. 18, 251-261, 1986.
59.
"Bounded Linear Allocation with a Nonlinear Cost Constraint is an Unconstrained Problem," with
T. R. Jefferson, INFOR, Vol. 25, 320-326, 1987.
60.
"Nonstandard Posymonial Geometric Programs," with T. R. Jefferson, International Journal of
Systems Science, Vol. 18, 1467-1474, 1987.
61.
"Duality for Programs involving Nonseparable Objective Functions," with T. R. Jefferson and
S. Jorjani, International Journal of Systems Science, Vol. 19, 1911-1918, 1988.
62.
"Conjugate Duality in Generalized Fractional Programming," with T. R. Jefferson, Journal of
Optimization Theory and Applications, Vol. 60, 475-483, 1989.
63.
"Conjugate Duals for Power Functions," with T. R. Jefferson, International Journal of Systems
Science, Vol. 20, 2153-2160, 1989.
64.
"On Duality for Mathematical Programs Involving Composite Functions," with T. R. Jefferson,
Methods of Operations Research, Vol. 62, 147-155, 1989.
65.
"Composite Geometric Programming," with T. R. Jefferson and Y. P. Wang, Journal of Optimization
Theory and Applications, Vol. 64, 101-118, 1990.
66.
"Composite Convex Programs," with T. R. Jefferson, International Journal of Systems Science, Vol.
22, 2691-2696, 1991.
67.
"Separable Convex Programs with Ratio Constraints over a Directed Tree," with C. S. Tang,
Operations Research Letters, Vol. 11, 147-152, 1992.
68.
"Quality Locations for the Constrained Minimax Location Model," with S. Jorjani and T.R. Jefferson,
International Journal of Systems Science, Vol. 24, 1009-1016, 1993.
69.
"Optimal Production Sequence for a Product with Matching Components," with K. So, Operations
Research, Vol. 42, 694-708, 1994.
Page 13
October 1998
Carlton H. Scott
Publications Continued
70.
"Optimal Allocation of Work Orders in a Multi-Echelon Factory Network," with K. So, Journal of the
Chinese Institute of Industrial Engineers, Vol. 11, 105-110, 1994.
71.
“Implications of Conjugate Duality in Mathematical Programming,” with T. R. Jefferson, Mathematics
Today, Vol. 12, 49-60, 1994."
72.
Allocation of Resources in Project Management: with T. R. Jefferson, International Journal of
Systems Science Vol. 26, 413-420, 1995.
73.
"Conjugate Duality in Facility Location" with T. R. Jefferson and S. Jorjani, Facility Location: A
Survey of Applications and Methods, ed. Z. Drezner, Springer Verlag, 89-101, 1995.
74.
“Stochastic Tool Management via Composite Geometric Programming” with T. R. Jefferson and A.
Lee, Optimization, Vol. 36, 59-74, 1996.
75.
“On the Optimal Location of a Central Warehouse,” with J. Song, Studies in Locational Analysis, Vol.
9, 123-126, 1996.
76.
“Convex Dual for Quadratic Concave Fractional Programs,” with T. R. Jefferson, Journal of
Optimization Theory and Applications, Vol. 91, 115-122, 1996.
77.
“Duality for a Sum of Convex Ratios” with T. R. Jefferson, Optimization, Vol. 60, 303-312, 1997.
78.
“A Duality Theory for a Class of Generalized Fractional Programs,” with T. R. Jefferson and H.
Frenk, Journal of Global Optimization Vol. 12, 239-245, 1998.
79.
“Duality for a Nonconvex Sum of Ratios,” with T. R. Jefferson, Journal of Optimization Theory and
Applications, Vol. 98, 151-159, 1998.
80. “Various Objectives for the Queueing Location Problem on the Plane,” with Z. Drezner and T.R.
Jefferson, Asian Pacific Journal of Operational Research, Vol. 16, 203-214, 1999.
81. “Selection of an optimal subset of sizes,” with S. Jorjani and David Woodruff, International Journal of
Production Research, Vol. 37, 3697 – 3710, 1999.
82. “Estimating Financial Statement Information: An Entropy Approach” with T.R. Jefferson and W.
Rodgers, Journal of Accounting and Finance, Vol. 13,1-19, 1999.
83. “On the Feasible Set for the Squared Euclidean Weber Problem and Applications,” with Z. Drezner,
European Journal of Operations Research, Vol. 18, 620-630, 1999.
84. “Several Results for the Design of Queueing Systems,” with X. Chao, Operations Research, Vol. 48,
965 – 970, 2000.
85. “Tactical and Strategic Models for Satellite Customer Assignment,” with O. Skelton and E. Rolland,
Journal of Operational Research Society, Vol. 51, 61 – 71, 2000.
86. “Quality Tolerancing and Conjugate Duality” with T.R.Jefferson, Annals of Operations Research, Vol.
105,185-200, 2001.
87. “On Duality for a Class of Quasicncave Multiplicative Programs” with T.R.Jefferson, accepted for
publication in Journal of Optimization Theory and Applications.
Page 14
October 1998