## Research Interests and Expertise

### Probabilistic Operations Research Including:

- Combinatorial Optimization
- Discrete Event Simulation
- Markov Decision Processes
- Random Walks and Mixing Times
- Statistical Epidemiology
- Supply Chain Optimization

## Book

1. A. Eshragh, Hamiltonian Cycles and the Space of Discounted Occupational Measures, LAP LAMBERT Academic Publishing, Saarbrucken, 2011.

## Journal Articles

1. B. Fahimnia, H. Davarzani and A. Eshragh, “Performance Comparison of Three Meta-Heuristic Algorithms for Planning of a Complex Supply Chain”, To Appear in Computers and Operations Research.

2. N.G. Bean, A. Eshragh and J.V. Ross, “Fisher Information for a Partially-Observable Simple Birth Process”, To Appear in Communications in Statistics: Theory and Methods.

3. K. Avrachenkov, A. Eshragh and J. Filar, “On Transition Matrices of Markov Chains Corresponding to Hamiltonian Cycles”, To Appear in Annals of Operations Research.

4. N.G. Bean, R. Elliott, A. Eshragh and J.V. Ross, “On Binomial Observation of Continuous-Time Markovian Population Models”, Journal of Applied Probability, 52:457-472, 2015.

5. B. Fahimnia, J. Sarkis, A. Choudhary and A. Eshragh, “Tactical Supply Chain Planning Under a Carbon Tax Policy Scheme: A Case Study”, International Journal of Production Economics, 164:206-215, 2015.

6. B. Fahimnia, J. Sarkis and A. Eshragh, “A Tradeoff Model for Green Supply Chain Planning: A Leanness-Versus-Greenness Analysis”, OMEGA, 54:173-190, 2015.

7. A. Eshragh and J. Filar, Hamiltonian Cycles, “Random Walks and the Geometry of the Space of Discounted Occupational Measures”, Mathematics of Operations Research, 36(2):258-270, 2011.

8. A. Eshragh, J. Filar and M. Haythorpe, “A Hybrid Simulation-Optimization Algorithm for the Hamiltonian Cycle Problem”, Annals of Operations Research, 189:103–125, 2011.

9. A. Eshragh, J. Filar and A. Nazari, “A Projection-Adapted Cross Entropy (PACE) Method for Transmission Network Planning”, Energy Systems, 2(2):189-208, 2011.

10. A. Eshragh and M. Modarres, “A New Approach to Distribution Fitting: Decision on Beliefs”, Journal of Industrial and Systems Engineering, 3(1):56-71, 2009.

11. H. Mahlooji, A. Eshragh, H. Abouee Mehrizi and N. Izady, “Uniform Fractional Part: A Simple Fast Method for Generating Continuous Random Variates”, International Journal of Science & Technology, 15(5):613-622, 2008.

## Peer-Reviewed Conference Papers

1. A. Eshragh, “Fisher Information, Stochastic Processes and Generating Functions”, Proceedings of the 21st International Congress on Modelling and Simulation (MODSIM2015), Gold Coast, Australia, December 2015.

2. K. Avrachenkov, A. Eshragh and J. Filar, “Markov Chains and Hamiltonian Transition Matrices”, Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools, Paris, France, 2011.

## Submitted Journal Articles

1. B. Fahimnia, A. Eshragh, H. Davarzani, “Performance Comparison of Three Meta-Heuristic Algorithms for Planning of a Complex Supply Chain”, Annals of Operations Research.

## Working Papers

1. A. Eshragh, C. Greenhill and T. Kalinowski, “The Expected Prevalence of Hamiltonian Extreme Points in a Refined Random Polyhedral Domain”.

2. A. Eshragh and B. Salvy, “An Efficient Algorithm to Calculate Fisher Information for Binomial Observations”.

3. N.G. Bean, A. Eshragh and J.V. Ross, “Optimal Experimental Design for a Partially-Observable Simple Birth Process”

4. A. Bagirov, A. Eshragh and A. Nazari, “A New non-Smooth Optimization Algorithm for the Hamiltonian Cycle Problem”.

5. A. Eshragh, J.A. Filar and N. Litvak, “Can Hamiltonian Cycle Problem for Random Graphs Be Solved with High Probability in Polynomial Time?”.

6. K. Avrachenkov, A. Eshragh and N. Litvak, “Quick Detection of Nodes with Large Degrees by Random Walks”.

## Articles in Persian Scientific Journals (Authorship : Sole)

1. “Statistical Thinking: The Success Key in 21st Century”, Sanayeh Magazine, Vol. 38.

2. “Simulated Annealing: A Simple Proof on its Convergence”, Sanayeh Magazine, Vol. 30.

3. “An Introduction to Time Series: Part Two”, Sanayeh Magazine, Vol. 21.

4. “An Introduction to Time Series: Part One”, Sanayeh Magazine, Vol. 19.

## Talks in Invited Conferences and Workshops

1. “Approximating the Fisher Information for a Partially-Observable Growing Population”, ICERM Workshop on Challenges in 21st Century Experimental Mathematical Computation, Providence, US, 2014.

2. “Random Walks, Polyhedra and Hamiltonian Cycles”, CARMA Workshop on Optimization, Nonlinear Analysis, Randomness & Risk, Newcastle, Australia, 2014.

3. “Hamiltonian Cycles, Extreme Points and Rapidly Mixing Markov Chains, Hamiltonian Cycle”, Traveling Salesman and Related Optimisation Problems Workshop, Adelaide, Australia, 2012.

4. “Polynomial Limit Control Algorithm to Identify Nearly all Cubic, non-Hamiltonian, Graphs”, The 19th Triennial Conference of the IFORS, Melbourne, Australia, 2011.

## Talks in International Conferences

1. “Fisher Information, Stochastic Processes and Generating Functions”, The 18th INFORMS Applied Probability Conference, Istanbul, Turkey, 2015.

2. “The Complexity of Optimal Experimental Design: A Tour from Applied Probability to Experimental Mathematics”, The 51st ANZIAM Applied Mathematics Conference, Gold Coast, Australia, 2015.

3. “On Binomial Observations of Continuous-Time Markov Chains”, The 57th AustMS Conference, Sydney, Australia, 2013.

4. “Fisher Information for a Partially-Observable Simple Birth Process”, Australia and New Zealand Applied Probability Workshop, Brisbane, Australia, 2013.

5. “Optimal Observation Times for a Partially-Observable Pure Birth Process”, The 26th European Conference on Operational Research, Rome, Italy, 2013.

6. “Optimal Experimental Design for a Pure Birth Process with Incomplete Information”, The 25th European Conference on Operational Research, Vilnius, Lithuania, 2012.

7. “A Modified Cross Entropy Method for the Optimization of an Environmentally Sustainable Supply Chain”, The 25th European Conference on Operational Research, Vilnius, Lithuania, 2012.

8. “Optimal Observations of a Growing Population”, The 48th ANZIAM Applied Mathematics Conference, Warrnambool, Australia, 2012.

9. “Optimal Experimental Design for a Growing Population”, Australia and New Zealand Applied Probability Workshop, Auckland, New Zealand, 2012.

10. “On Random Graphs, Random Walks and the Hamiltonian Cycle Problem”, The 54th Annual AustMS Conference, Brisbane, Australia, 2010.

11. “A Random Pivoting Algorithm for the Hamiltonian Cycle Problem”, The 24th European Conference on Operational Research, Lisbon, Portugal, 2010.

12. “Investigating Hamiltonian Cycles through Random Walks”, The 46th ANZIAM Applied Mathematics Conference, Queenstown, New Zealand, 2010.

13. “A New Random Algorithm for the Hamiltonian Cycle Problem”, The 23rd European Conference on Operational Research, Bonn, Germany, 2009.

14. “A Hybrid Simulation-Optimization Algorithm for the Hamiltonian Cycle Problem”, The 45th ANZIAM Applied Mathematics Conference, Caloundra, Australia, 2009; also presented in The 53rd Annual AustMS Conference, Adelaide, Australia, 2009.

15. “A New Approach to Response Surface Methodology”, The 5th International Industrial Engineering Conference, Tehran, Iran, 2005.

16. “A New Approach to Distribution Fitting: Decision on Beliefs”, The 53rd Session of International Statistical Institute, Seoul, South Korea, 2001; also presented in The 1st International Industrial Engineering Conference, Tehran, Iran, 2001.

17. “Order Statistics and Their Applications”, The 1st Iranian Statistical Student Conference, Tehran, Iran, 1999.

## Miscellaneous Seminars/Presentations

1. Ali Eshragh, “Hamiltonian Cycles, Ploytopes and Markov Chains”, Presented talk at the Counting Programming Seminar Series, Simons Institute for the Theory of Computing, The University California at Berkeley, February 19, 2016.

2. Ali Eshragh “Fisher Information, Stochastic Processes and Generating Functions”, Presented talk at the Colloquium, University of New south Wales, Sydney, Australia, October 8, 2015.

3. A. Eshragh, “Computational Complexity of the Fisher Information”, Presented talk at INRIA, Paris,

France, October 6, 2014.

4. A. Eshragh, “Binomial Observations, Fisher Information and Optimal Sampling Times”, Presented talk at the School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, Australia, November 14, 2013.

5. A. Eshragh, “P or NP: That is the Question”, Presented talk in the undergraduate seminar at the School of Mathematical Sciences, The University of Adelaide, Adelaide, Australia, May 22, 2012.

6. A. Eshragh, “Can Hamiltonian Cycle Problem be Solved with High Probability in Polynomial Time?”, Presented Talk in the School of Mathematical Sciences, Monash University, Melbourne, Australia, February 29, 2012.

7. A. Eshragh, “Hamiltonian Cycles and Random Walks”, Presented talk at the School of Computer Science, The University of Adelaide, Adelaide, Australia, December 7, 2011.

8. A. Eshragh, “Optimal Experimental Design for a Partially-Observable Pure Birth Process”, Presented talk in the School of Mathematical Sciences, The University of Adelaide, Adelaide, Australia, August 25, 2011.

9. A. Eshragh, “Hybrid Simulation-Optimization Algorithm for Combinatorial Optimization Problems”, Presented talk at the University of South Australia (Divisional Research Day), Adelaide, Australia, September 10, 2010.

10. A. Eshragh, “Hamiltonian Cycles, Random Walks and Discounted Occupational Measures”, Presented Talk at the University of Twente, Enschede, The Netherlands, June 22, 2010.

11. G. Nguyen, M. Haythrope, and A. Eshragh, “Investigating the Hamiltonian Cycle Problem Using Markov Decision Processes”, Presented poster at the University of South Australia (Divisional Research Day), Adelaide, Australia, June, 2007.

12. A. Eshragh, “Decision on Beliefs: Concepts and Applications”, Presented talk at Indian Statistical Institute, New Delhi, India, March, 2004.

13. Presented talks in colloquia held by Industrial Engineering Department at Sharif University of Technology, 1997-2006:

• Occupancy Problem and its Applications;

• Order Statistics and their Applications;

• Time Series and Forecasting Models;

• The Impact of Internet on Statistics;

• Optimization of a Stochastic Inventory Model;

• Demand Forecasting in Supply Chain;

• Statistical Thinking;

• Statistical Comparisons of Four Graph Colouring Algorithms;

• Case Study: Discrete-Event Simulation of IKCO Company.