Sheldon Howard Jacobson, Ph.D.

University of Illinois at Urbana-Champaign

 

Papers in Archival Journals

Discrete Optimization Algorithms (Exact and Approximation)
 

1.    Jacobson, S.H., Solow, D., 1993, "The Effectiveness of Finite Improvement Algorithms for Finding Global Optima,” Zeitschrift fur Operations Research (ZOR) -- Methods and Models of Operations Research, 37(3), 257-272.

2.    Jacobson, S.H., Johnson, A.W., Sullivan, K.A., Fleischer, M.A., Kumar, A., 1997, “Metaheuristics for a Flexible Assembly System Design Problem,” Journal of Heuristics, 3(2), 139-159.

3.    Jacobson, S.H., Sullivan, K.A., Johnson, A.W., 1998, "Discrete Manufacturing Process Design Optimization Using Computer Simulation and Generalized Hill Climbing Algorithms," Engineering Optimization, 31, 247-260.

4.    Fleischer, M., Jacobson, S.H., 1999, "Information Theory and the Finite-Time Behavior of the Simulated Annealing Algorithm: Experimental Results," INFORMS Journal on Computing, 11(1), 35-43.

5.    Kumar, A., Jacobson, S.H., Sewell, E.C., 2000, "Computational Analysis of a Flexible Assembly System Design Problem," European Journal of Operational Research, 123(3), 453-472.

6.    Sullivan, K.A. and Jacobson, S.H., 2000, “Ordinal Hill Climbing Algorithms for Discrete Manufacturing Process Design Optimization Problems,” Discrete Event Dynamical Systems, 10(4), 307-324.

7.    Vaughan, D., S.H. Jacobson, and D. Armstrong, 2000, “A New Neighborhood Function for Discrete Manufacturing Process Design Optimization Using Generalized Hill Climbing Algorithms,” ASME Journal of Mechanical Design, 122(2), 164-171.

8.    Sullivan, K.A., Jacobson, S.H., 2001, "A Convergence Analysis of Generalized Hill Climbing Algorithms," IEEE Transactions on Automatic Control, 46(8), 1288-1293.

9.    Johnson, A.W., Jacobson, S.H., 2002, “A Class of Convergent Generalized Hill Climbing Algorithms,” Applied Mathematics and Computation, 125(2-3), 359-373.

10. Johnson, A.W., Jacobson, S.H., 2002, “On the Convergence of Generalized Hill Climbing Algorithms,” Discrete Applied Mathematics, 119(1-2), 37-57.

11. Orosz, J.E., Jacobson, S.H. 2002, “Finite-time Performance Analysis of Static Simulated Annealing Algorithms,” Computational Optimization and Applications, 21(1), 21-53.

12. Orosz, J.E., Jacobson, S.H., 2002, “Analysis of Static Simulated Annealing Algorithms," Journal of Optimization Theory and Application, 115(1), 165-182.

13. Fleischer, M.A., Jacobson, S.H., 2002, “Scale Invariance Properties in the Simulated Annealing Algorithm,” Methodology and Computing In Applied Probability, 4(3), 219-241.

14. Henderson, D., Vaughan, D.E., Jacobson, S.H., Wakefield, R.R., Sewell, E.C., 2003, "Solving the Shortest Route Cut and Fill Problem Using Simulated Annealing,” European Journal of Operational Research, 145(1), 72-84.

15. Armstrong, D.E., Jacobson, S.H., 2003 “Studying the Complexity of Global Verification for NP-hard Discrete Optimization Problems,” Journal of Global Optimization, 27(1), 83-96.

16. Jacobson, S.H., Yucesan, E., 2004, "Global Optimization Performance Measures for Generalized Hill Climbing Algorithms," Journal of Global Optimization, 29(2), 173-190.

17. Venkat, V., Jacobson, S.H., Stori, J.A., 2004, “A Post-Optimality Analysis Algorithm for Multi-Objective Optimization," Computational Optimization and Applications, 28(3), 357-372.

18. Armstrong, D.E., Jacobson, S.H., 2004, “Polynomial Transformations and Data Independent Neighborhood Functions,” Discrete Applied Mathematics, 143(1-3), 272-284.

19. Vaughan, D.E., Jacobson, S.H., 2004, "Formulating the Meta-Heuristic Tabu Search in the Generalized Hill Climbing Framework," Methodology and Computing in Applied Probability, 6(3), 343-354.

20. Jacobson, S.H., Yucesan, E., 2004, "Analyzing the Performance of Generalized Hill Climbing Algorithms," Journal of Heuristics, 10(4), 387-405.

21. Vaughan, D.E., Jacobson, S.H., Hall, S.N., McLay, L.A., 2005, "Simultaneous Generalized Hill-Climbing Algorithms for Addressing Sets of Discrete Optimization Problems," INFORMS Journal on Computing 17(4), 438-450.

22. Armstrong, D.E., Jacobson, S.H., 2005, “Data Independent Neighborhood Functions and Strict Local Optima,” Discrete Applied Mathematics, 146(3), 233-243

23. Jacobson, S.H., Hall, S.N., McLay, L.A., Orosz, J.E., 2005, “Performance Analysis of Cyclic Simulated Annealing Algorithms,” Methodology and Computing in Applied Probability, 7(2), 183-201.

24. Jacobson, S.H., McLay, L.A., Hall, S.N., Henderson, D., Vaughan, D.E., 2006, “Optimal Search Strategies Using Simultaneous Generalized Hill Climbing Algorithms,” Mathematical and Computer Modelling, 43(9-10), 1061-1073.

25. Armstrong, D.E., Jacobson, S.H., 2006, “Order Preserving Reductions and Polynomial Improving Paths,” Operations Research Letters, 34(1), 9-16.

26. Kaul, H., Jacobson, S.H., 2006, “Global Optima Results for the Kauffman NK Model,” Mathematical Programming, 106, 319-338.

27. Armstrong, D.E., Jacobson, S.H., 2006, “Analyzing the Complexity of Finding Good Neighborhood Functions for Local Search Algorithms,” Journal of Global Optimization, 36(2), 219-236.

28. Kaul, H., Jacobson, S.H., 2007, “New Global Optima Results for the Kauffman NK Model: Handling Dependency,” Mathematical Programming, 108(2-3), 475-494.

29. McLay, L.A., Jacobson, S.H., 2007, “Integer Knapsack Problems with Set-Up Weights,” Computational Optimization and Applications, 37(1), 35-47.

30. McLay, L.A., Jacobson, S.H., 2007, “Algorithms for the Bounded Set-Up Knapsack Problem,” Discrete Optimization, 4(2), 206-212.

31. Vaughan, D.E., Jacobson, S.H., Kaul, H., 2007, “Analyzing the Performance of Simultaneous Generalized Hill Climbing Algorithms,” Computational Optimization and Applications, 37(1), 103-119.

32. Armstrong, D.E., Jacobson, S.H., 2008, “An Analysis of Neighborhood Functions on Generic Solution Spaces,” European Journal of Operational Research, 186(2), 529-541.

33. Kao, G., Jacobson, S.H., 2008, “Finding Preferred Subset of Pareto Optimal Solutions,” Computational Optimization and Applications, 40(1), 73-95.

34. Kao, G.K., Sewell, E.C., Jacobson, S.H., 2009, “A Branch, Bound, and Remember Algorithm for the 1|ri|Sti Scheduling Problem,” Journal of Scheduling, 12(2), 163-175.

35. Jacobson, S.H., McLay, L.A., 2009, “Applying Statistical Tests to Empirically Compare Tabu Search Parameters for MAX 3-SATISFIABILITY: A Case Study,” Omega, 37(3), 522-534.

36. Nikolaev, A.G., Jacobson, S.H., 2011, “Using Markov Chains to Analyze the Effectiveness of Local Search Algorithms," Discrete Optimization, 8(2), 160-173.

37. Nikolaev, A.G., Jacobson, S.H., Hall, S.N., Henderson, D., 2011, “A Framework for Analyzing Sub-Optimal Performance of Local Search Algorithm", Computational Optimization and Applications, 49(3), 407-433 (Honorable Mention, Best Paper Award).

38. Sewell, E.C., Jacobson, S.H., Kaul, H., 2011, “Reductions for the Stable Set Problem," Algorithmic Operations Research, 6(1), 40-55.

39. Kao, G.K., Sewell, E.C., Jacobson, S.H., Hall, S.N., 2012, “New Dominance Rules and Exploration Strategies for the 1|ri|SUi Scheduling Problem,” Computational Optimization and Applications, 51(3), 1253-1274.

40. Sewell, E.C., Jacobson, S.H., 2012, “A Branch, Bound, and Remember Algorithm for the Simple Assembly Line Balancing Problem, INFORMS Journal on Computing, 24(3), 433-442.

41. Sewell, E.C., Sauppe, J.J., Morrison, D.M., Jacobson, S.H., Kao, G.K., 2012, “Minimizing Total Tardiness for the Single Machine with Sequence Dependent Setup Time Problem Using the BB&R Algorithm,” Journal of Global Optimization, 54(4), 791-812 (Top-5 Papers (of 149) Published in Journal of Global Optimization in 2012).

42. Morrison, D.M., Sauppe, J.J., Jacobson, S.H., 2013, “A Network Simplex Algorithm for the Equal Flow Problem on a Generalized Network,” INFORMS Journal on Computing, 25(1), 2-12.

43. Morrison, D.M., Sauppe, J.J., Jacobson, S.H., 2014, “A Note on the Proportional Network Flow Problem,” Optimization Letters, 8(3), 801-809.

44. Morrison, D.R., Sewell, E.C., Jacobson, S.H., 2014, “A Computational Study of the Simple Assembly Line Balancing Problem using Cyclic Best-First Search,” European Journal of Operational Research, 236(2), 403-409.

45. Morrison, D.R., Sauppe, J.J., Sewell, E.C., Jacobson, S.H., “A Wide Branching Strategy for the Graph Coloring Problem,” INFORMS Journal on Computing, 26(4), 704-717.

46. Morrison, D.R., Sewell, E.C., Jacobson, S.H., 2014, “Characteristics of the Maximal Independent Set ZDD,” Journal of Combinatorial Optimization, 28(1), 121-139.

47. Morrison, D. R., Sewell, E. C., Jacobson, S. H., 2016, “Solving the Pricing Problem in a Branch-and-Price Algorithm for Graph Coloring using Zero-Suppressed Binary Decision Diagrams,” INFORMS Journal on Computing, 27(1), 67-82.

48. Morrison, D. R., Sauppe, J.J., Sewell, E.C., Jacobson, S.H., 2016, "Branch-and-Bound Algorithms: A Survey of Recent Advances in Searching, Branching, and Pruning," Discrete Optimization, 19, 79-102.

49. Morrison, D.R., Sauppe, J.J., Zhang, W., Sewell, E.C., Jacobson, S.H., 2017, "Cyclic Best-First Search: Using Contours to Guide Branch-and-Bound Algorithms," Naval Research Logistics, 64(1), 64-82.

50. Zhang, W., Sauppe, J.J., Jacobson, S.H., 2021, ” An Improved Branch-and-Bound Algorithm for the One-Machine Scheduling Problem with Delayed Precedence Constraints,” INFORMS Journal on Computing, 33(3), 1091-1102.

51. Zhang, W., Sauppe, J.J., Jacobson, S.H., 2021, “Comparison of the Number of Nodes Explored by CBFS-depth and BFS,” Computers and Operations Research, 126 https://doi.org/10.1016/j.cor.2020.105129.

52. Sewell, E.C., Jacobson, S.H, 2021, “Dynamically Improved Bounds Bidirectional Search,” Artificial Intelligence, 291, https://doi.org/10.1016/j.artint.2020.103405.

53. Pavlik, J., Sewell, E.C., Jacobson, S.H., 2021, “Two New Bidirectional Search Algorithms,” Computational Optimization and Applications, 80, 377-409.

54. Pavlik, J., Sewell, E.C., Jacobson, S.H., 2022, “Iterative Deepening Dynamically Improved Bounds Bidirectional Search,” INFORMS Journal on Computing, 34(2), 974-989.

55. Zhang, W., Sauppe, J.J., Jacobson, S.H., 2023, “Results for the Close-Enough Traveling Salesman Problem with a Branch-and-Bound Algorithm,” Computational Optimization and Applications, 85, 369-407. https://doi.org//10.1007/s10589-023-00474-3.

56. Ludden, I.G., King, D.M., Jacobson, S.H., 2023, “3D geography graph: Efficient flip verification for the spherical zoning problem,” Discrete Applied Mathematics, 338 (October), 329-346. https://doi.org/10.1016/j.dam.2023.07.004 .

 

Last Updated: 1 September 2023