Interior-Points Related Publications

Book:

"Linear Optimization and Extensions: Theory and Algorithms",

with S.C. Puthenpura, Prentice Hall, Englewood Cliffs, New Jersey, March 1993.

(Chinese Version published by Science Press, Beijing, China, June 1994.)

Selected Articles:

1. "On the Convex Programming Approach to Linear Programming",

with J.R. Rajasekera, Operations Research Letters, 10-6 (1991), 309 - 312.

2. "A Variant of Affine Scaling Algorithm for Linear Programming",

with G.M. Jan, Optimization, 22-5 (1991), 681 - 715.

3. "An Unconstrained Convex Programming View of Linear Programming",

Zeischrift fur Operations Research-Theory, 36-1 (1992), 149 - 161.

4. "Insights into the Interior-Point Methods for Linear Programming",

with R.L. Sheu, Zeischrift fur Operations Research-Theory, 36-2 (1992), 227 - 257.

5. "Deriving an Unconstrained Convex Program for Linear Programming",

with J.R. Rajasekera, Journal of Optimization Theory and Applications, 75-3 (1992), 603 - 612.

6. "Linear Programming with Entropic Perturbation",

with H.S. Tsao, Zeischrift fur Operations Research, 37 (1993), 171 - 186.

7. "On the Relationship of the Interior-Point Methods",

with R.L. Sheu, International Journal of Mathematics and Mathematical Sciences, 16 (1993), 565 - 572.

8. "An Unconstrained Convex Programming Approach to Solving Convex Quadratic Programming Problems",

with H.S. Tsao, Optimization, 27 (1993),235 - 243.

9. "An Inexact Approach to Solving Linear Semi-Infinite Programming Problems",

with S.Y. Wu, Optimization, 28 (1994), 291 - 299.

10. "A Dual Affine Scaling Based Algorithm for Solving Linear Semi-infinite Programming Problems",

with C.J. Lin and S.Y. Wu, in Advances in Optimization and Approximation, edited by D.-Z. Du and J. Sun, Kluwer Academic Publishers, (1994), 217-234.

11. "On the Generalized Path-Following Methods for Linear Programming",

with R.L. Sheu, Optimization, 30 (1994), 235 - 249.

12. "A Quadratically Convergent Global Algorithm for Linearly Constrained Cross-Entropy Analysis",

with H.S. Tsao, European Journal of Operational Research, 79 (1994), 369 - 378.

13. "On Solving Convex Quadratic Semi-Infinite Programming Problems",

with C.J. Lin and S.Y. Wu, Optimization, 31 (1994), 107 - 125.

14. "Entropic Path-Following for Linear Semi-Infinite Programming",

with S.Y. Wu, Mathematics Today, Special Issue on Mathematical Programming, XII-A (1994), 1 - 16.

15. "A Relaxed Interior Path Following Primal - Dual Algorithm for Convex Quadratic Programming",

with T.M. Huang, C.H. Lin and W.W. Lin, Mathematics Today, Special Issue on Mathematical Programming, XII-A (1994), 115 - 144.

16. "A Primal-Dual Infeasible Interior-Point Algorithm for Linear Semi-Infinite Programming",

with R.L. Sheu and S.Y. Wu, Computers and Mathematics with Applications, 29 (1995), 7 - 18.

17. "Solving Stochastic Programming Problems via Kalman Filtering and Affine Scaling",

with S. Puthenpura, R. Saigal, and L. Sinha, European Journal of Operational Research, 83 (1995), 503 - 513.

18. "On the Unconstrained Convex Programming Approach for Linear Programming",

with Z. K. Xu, Journal of Optimization Theory and Applications, 86 (1995), 745 - 752.

19. "Linear Programming with Inequality Constraints via Entropic Perturbation",

with H.S. Tsao, International Journal of Mathematics and Mathematical Sciences, 19 (1995), 177 - 184.

20. "Linear Constrained Entropy Maximization Problem with Quadratic Cost and Its Application to Transportation Planning Problems'',

with H.S. Tsao, Transportation Science, 29 (1995), 353 - 365.

21. "Implementation of an Inexact Approach to Solving Linear Semi-infinite Programming Problems",

with C.J. Lin, E.K. Yang and S.Y. Wu, Journal of Computational and Applied Mathematics, 61 (1995), 87 - 103.

22. "On the Unconstrained Dual Approach to Solving Karmarkar-Type Linear Programs using Conventional Barrier Functions",

with H.-S. J. Tsao, Zeischrift fur Operations Research, 42(1995), 325 -343.

23. "A Relaxed Primal - Dual Path Following Algorithm for Linear Programming",

with T.M. Huang, C.H. Lin and W.W. Lin, Annals of Operations Research, 62(1996), 173 - 196.

24. "On the Entropic Perturbation and Exponential Penalty Methods for Linear Programming",

with H.S.J. Tsao, Journal of Optimization Theory and Applications, 89(2) (1996), 461 - 466.

25. "A Dual Perturbation View of Linear Programming",

with H.-S. J. Tsao, Zeischrift fur Operations Research, 44(1), 1996.

26. "On the Parametric Linear Semi-infinite Programming",

with C.J. Lin and S.Y. Wu, to appear in Applied Mathematics Letters.

27. "An Efficient Computational Procedure for Solving Entropy Optimization Problems with Infinitely Many Linear Constraints",

with H.S. Tsao, to appear in Computational and Applied Mathematics.

28. "Perturbing Dual Feasible Region for Solving Convex Quadratic Programs",

with H.-S. J. Tsao, to appear in Journal of Optimization Theory and Applications.

29. "Solving Linear Programs with Inequality Constraints via Perturbation of Feasible Region",

with H.-S. J. Tsao, Optimization, 37(1996), 213 - 223.

30. "Linear Programming with Stochastic Elements: An On-Line Approach",

with S. Guan, submitted to Journal of Optimization Theory and Applications.

31. "An Unconstrained Convex Programming Approach for Linear Semi-Infinite Programming",

with C.J. Lin and S.Y. Wu, submitted to SIAM Journal on Optimization.

32. "A Global Filtering Algorithm Linear Programming with Stochastic Elements",

with S. Guan, submitted to European Journal of Operational Research.

33. "On the Entropic Regularization Method for Min-max Problems with Applications",

with X. Li, to appear in Mathematical Methods of Operations Research.