Optimization Theory and Miscellaneous Applications

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Johar, M., Mookerjee, V., and Sethi, S.P., "Optimal Software Design Reuse Policies: A Control Theoretic Approach," Information Systems Frontiers, forthcoming.

Bensoussan, A., Chen, S., and Sethi, S.P., "Feedback Stackelberg Solutions of Infinite-Horizon Stochastic Differential Games," Models and Methods in Economics and Management Sciences, Essays in Honor of Charles S. Tapiero, Fouad El Ouardighi and Konstantin Kogan (Eds.), Series 6161, Vol. 198, Springer International Publishing Switzerland, 2014, 3-15.

Bensoussan, A., Chen, S. and Sethi, S.P., "Linear-Quadratic Differential Games with Mixed Leadership: The Open-Loop Solution," Numerical Algebra, Control and Optimization, Special Edition to honor Professor George Leitmann, K.L. Teo and B.S. Goh (Eds.), 2013, 3(1), 95-108.

Bensoussan, A., Çakanyildirim, M., Li, M., and Sethi, S.P., "Existence and Uniqueness of Solutions for a Partially Observed Stochastic Control Problem," in Stochastic Processes, Finance and Control, A Festschrift in Honor of Robert J. Elliot, Samuel N. Cohen, Dilip Madan, Tak Kuen Siu, and Hailiang Yang, (Eds.), World Scientific, 2012, 393-413.

Ji, Y., Kumar, S., Mookerjee, V.S., Sethi, S.P., and Yeh, D., "Optimal Enhancement and Lifetime of Software Systems: A Control Theoretic Analysis," Production and Operations Management, 20(6), 2011, 889–904.

Basar, T., Bensoussan, A., and Sethi, S.P., "Differential Games with Mixed Leadership: The Open-Loop Solution,"; Applied Mathematics and Computation, 217, 2010, 972-979. (abstract)

Kulkarni, V.G. and Sethi, S.P., "Optimal Allocation of Effort to Software Maintenance: A Queuing Theory Approach," Production and Operations Management, 18(5), 2009, 506-515. (abstract)

Kumar, S. and Sethi, S.P., "Dynamic Pricing and Advertising for Web Content Providers,"; European Journal of Operations Research, 197 2009, 924-944. (abstract)

Feng, Q., Mookerjee, V.S., and Sethi, S.P., "Application Development Using Fault Data," Production and Operations Management, 17(2), 2008, 162-174. (abstract)

Feng, Q., Mookerjee, V.S., and Sethi, S.P., "Optimal Policies for Sizing and Timing Software Maintenance Projects," European Journal of Operational Research, 173, 2006, 1047-1066. (abstract)

Dawande, M., Gavirneni, S., Naranpanawe, S., and Sethi, S.P., "Computing Minimal Forecast Horizons: An Integer Programming Approach," Journal of Mathematical Modelling and Algorithms, 5, 2006, 239-258. (abstract)

Ji, Y., Mookerjee, V.S., and Sethi, S.P., "Optimal Software Development: A Control Theoretic Approach," Information Systems Research, 16(3), September 2005, 292-306. (abstract)

Ji, Y., Mookerjee, V.S., and Sethi, S.P., "An Integrated Planning Model of Systems Development and Release," Proceedings of Workshop on Information Technologies and Systems, Seattle, WA, December 2003, 55-60. (abstract)

Sethi, S.P. and Zhang, Q., "Near Optimization of Stochastic Dynamic Systems by Decomposition and Aggregation," Optimal Control Applications and Methods, 22, 2001, 333-350. (abstract) (online)

Sethi, S.P. and Zhang, Q., "Near Optimization of Dynamic Systems by Decomposition and Aggregation," Journal of Optimization Theory and Applications, 99(1), 1998, 1-22. (online)

Hartl, R.F., Sethi, S.P. and Vickson, R.G., "A Survey of the Maximum Principles for Optimal Control Problems with State Constraints," SIAM Review, 37(2), June 1995, 181-218.

Krass, D., Sethi, S.P., and Sorger, G., "Some Complexity Issues in a Class of Knapsack Problems: What Makes a Knapsack Problem `Hard'?" INFOR, Special Issue on Knapsack Problems, 32(3), 1994, 149-162.

Sethi, S.P. and Kubiak, W., "Complexity of a Class of Nonlinear Combinatorial Problems Related to Their Linear Counterparts," European Journal of Operational Research, 73(3), 1994, 569-576. (online)

Rempala, R. and Sethi, S.P., "Decision and Forecast Horizons for One-Dimensional Optimal Control Problems: Existence Results and Applications," Optimal Control Applications & Methods, 13, 1992, 179-192.

Sethi, S.P. and Sorger, G., "A Theory of Rolling Horizon Decision Making," Annals of O.R., 29, 1991, 387-416.

Sethi, S.P. and Taksar, M.I., "Deterministic Equivalent for a Continuous-Time Linear-Convex Stochastic Control Problem," Journal of Optimization Theory and Applications, 64(1), Jan. 1990, 169-181.

Sethi, S.P., "Dynamic Optimization: Decision and Forecast Horizons," Systems and Control Encyclopedia Supplementary Volume 1, Madan G. Singh (Ed.), Pergamon Press, Oxford, U.K., 1990, 192-198.

Kulkarni, V.G. and Sethi, S.P., "Deterministic Retrial Times are Optimal in Queues with Forbidden States," INFOR, 27(3), Aug. 1989, 374-386.

Bes, C. and Sethi, S.P., "Solution of a Class of Stochastic Linear-Convex Control Problems Using Deterministic Equivalents," Journal of Optimization Theory and Applications, 62(1), July 1989, 17-27.

Sethi, S.P. and Sorger, G., "Concepts of Forecast Horizons in Stochastic Dynamic Games," Proc. of the 28th Conference on Decision and Control, Tampa, Florida, Dec. 13-15, 1989, 195-197.

Bes, C. and Sethi, S.P., "Concepts of Forecast and Decision Horizons: Applications to Dynamic Stochastic Optimization Problems," Mathematics of Operations Research, 13(2), May 1988, 295-310. (online)

Sethi, S.P. and Taksar, M.I., "Deterministic and Stochastic Control Problems with Identical Optimal Cost Functions," Analysis and Optimization of Systems, A. Bensoussan and J. L. Lions (Eds.), Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, 1988, 641-645.

Bhaskaran, S. and Sethi, S.P., "Decision and Forecast Horizons in a Stochastic Environment: A Survey," Optimal Control Applications & Methods, 8, 1987, 201-217.

Hartl, R.F. and Sethi, S.P., "Solution of Generalized Linear Optimal Control Problems Using a Simplex-like Method in Continuous Time I: Theory," Optimal Control Theory and Economic Analysis 2, G. Feichtinger (Ed.), Elsevier Science Publishers B.V. (North-Holland), 1985, 45-62.

Hartl, R.F. and Sethi, S.P., "Solution of Generalized Linear Optimal Control Problems Using a Simplex-like Method in Continuous Time II: Examples," Optimal Control Theory and Economic Analysis 2, G. Feichtinger (Ed.), Elsevier Science Publishers B.V. (North-Holland), 1985, 63-87.

Sethi, S.P. and Bhaskaran, S., "Conditions for the Existence of Decision Horizons for Discounted Problems in a Stochastic Environment: A Note," Operations Research Letters, 4(2), July 1985, 61-64. (online)

Hartl, R.F. and Sethi, S.P., "Optimal Control of a Class of Systems with Continuous Lags: Dynamic Programming Approach and Economic Interpretations," Journal of Optimization Theory and Applications, 43(1), May 1984, 73-88.

Haurie, A., Sethi, S.P. and Hartl, R.F., "Optimal Control of an Age-Structured Population Model with Applications to Social Services Planning," J. of Large Scale Systems, 6, 1984, 133-158.

Haurie, A. and Sethi, S.P., "Decision and Forecast Horizons, Agreeable Plans, and the Maximum Principle for Infinite Horizon Control Problems," Operations Research Letters, 3(5), Dec. 1984, 261-265. (online)

Derzko, N.A., Sethi, S.P. and Thompson, G.L., "Necessary and Sufficient Conditions for Optimal Control of Quasilinear Partial Differential Systems," Journal of Optimization Theory and Applications, 43(1), May 1984, 89-101.

Sethi, S.P., "Applications of Optimal Control to Management Science Problems," Proceedings of the 1983 World Conference on Systems, Caracas, Venezuela, July 11-15, 1983.

Hartl, R.F. and Sethi, S.P., "A Note on the Free Terminal Time Transversality Condition," Zeitschrift fur Operations Research, Series: Theory, 27(5), 1983, 203-208.

Bhaskaran, S. and Sethi, S.P., "Planning Horizon Research - The Dynamic Programming/Control Theory Interface," Proceedings of International AMSE Winter Symposium, Bermuda, March 1-3, 1983, 155-160.

Sethi, S.P. and Thompson, G.L., "A Tutorial on Optimal Control Theory," INFOR, 19(4), 1981, 279-291.

Dantzig, G.B. and Sethi, S.P., "Linear Optimal Control Problems and Generalized Linear Programs," Journal of Operational Research Society, 32, 1981, 467-476.

Derzko, N.A., Sethi, S.P. and Thompson, G.L., "Distributed Parameter Systems Approach to the Optimal Cattle Ranching Problem," Optimal Control Applications & Methods, 1(1), 1980, 3-10.

Bookbinder, J.H. and Sethi, S.P., "The Dynamic Transportation Problem: A Survey," Naval Research Logistics Quarterly, 27(1), March 1980, 65-87.

Sethi, S.P., "Optimal Pilfering Policies for Dynamic Continuous Thieves," Management Science, 25(6), June 1979, 535-542. (online)

Caines, P.E. and Sethi, S.P., "Recursiveness, Causality, and Feedback," IEEE Transactions on Automatic Control, AC-24(1), Feb. 1979, 113-115.(online)

Sethi, S.P. and Staats, P.W., "Optimal Control of Some Simple Deterministic Epidemic Models," Journal of Operational Research Society, 29(2), 1978, 129-136.

Sethi, S.P., "Optimal Quarantine Programmes for Controlling an Epidemic Spread," Journal of Operational Research Society, 29(3), 1978, 265-268.

Sethi, S.P., "A Survey of Management Science Applications of the Deterministic Maximum Principle," TIMS Studies in the Management Science, 9, 1978, 33-68.

Sethi, S.P. and Ingham, B., "Some Classroom Notes on the Toymaker Example of Howard," Decision Line, 8(4), Sept. 1977, 4-6.

Sethi, S.P., "Nearest Feasible Paths in Optimal Control Problems: Theory, Examples, and Counterexamples," Journal of Optimization Theory and Applications, 23(4), Dec. 1977, 563-579.

Burdet, C.A. and Sethi, S.P., "On the Maximum Principle for a Class of Discrete Dynamical Systems with Lags," Journal of Optimization Theory and Applications, 19(3), July 1976, 445-454.

Sethi, S.P., "Quantitative Guidelines for Communicable Disease Control Program: A Complete Synthesis," Biometrics, 30(4), Dec. 1974, 681-691; a detailed Abstract in Statistical Theory and Method Abstracts, 1975.

Sethi, S.P., "Sufficient Conditions for the Optimal Control of a Class of Systems with Continuous Lags," Journal of Optimization Theory and Applications, 13(5), May 1974, 545-552; Errata Corrige, 38, 1, Sept. 1982, 153-154.

Sethi, S.P., "An Application of Optimal Control Theory in Forest Management," Journal of Management Science and Applied Cybernetics, 2(1), 1973, 9-16.

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