Agricultural
University of Athens
Department of Regional
& Economic Development

[6844] Operations Research

Course Content

Introduction to Business Research, Basic concepts of linear programming, problem modeling, the general pattern, interpretation and mathematical formulation, problem solving, Graphical problem solving, linear programming, The SIMPLEX method, formal form, algorithm, problem solving, The M method and the two phases, Binary theory, properties of binary problems and the SIMPLEX binary method, Sensitivity analysis, The transportation problem, Integer and mixed programming problems, Dynamic programming, Applications in Economics and Regional Science.

Learning results

After completing the course, it is expected that students will be able to:

To understand the concept of research in the business environment and the problems related to the management and coordination of enterprises and organizations, to apply the theory of mathematics to problems of an economic nature and to proceed with the construction of models for their description, to deconstruct, interpret and reconstruct business research and financial problems, evaluate and choose the most appropriate solutions, search for new solutions in a different context of conditions (e.g. sensitivity analysis), model problems using computer programs and the necessary technologies, practice adaptability in new situations, cultivate decision-making reasoning, practice working in an interdisciplinary environment, critical thinking and the promotion of free, creative and inductive thinking.

Bibliography

Η βασική βιβλιογραφία που θα χρησιμοποιηθεί είναι

Ελληνόγλωσση Βιβλιογραφία

  1. Δ. Φακίνος, Α. Οικονόμου, (2003) «Εισαγωγή στην Επιχειρησιακή Έρευνα», Εκδόσεις Συμμετρία.
  2. Hillier F.S., Lieberman G.J., Διαμαντίδης Α. (Επιστ. Επιμέλεια) (2022) Εισαγωγή στην Επιχειρησιακή Έρευνα, 11η Έκδοση, Εκδόσεις Α. Τζιόλα
  3. Κολέτσος Ι., Στογιάννης Δ., (2021) Εισαγωγή στην Επιχειρησιακή έρευνα, Εκδόσεις Καλαμαρά
  4. Παντελής, Υ. (2015) Επιχειρησιακή Έρευνα, Προπομπός

Ξενόγλωσση Βιβλιογραφία

  1. Morse, P. M., Kimball, G. E., & Gass, S. I. (2003). Methods of operations research. Courier Corporation.
  2. Jensen, P. A., & Bard, J. F. (2002). Operations research models and methods. John Wiley & Sons.
  3. Ray, S. C. (2004). Data envelopment analysis: theory and techniques for economics and operations research. Cambridge university press.
  4. F. S. Hillier, G. J. Lieberman, (2005) “Introduction to Operations Research”, McGraw-Hill.
  5. Maros, I. (2002). Computational techniques of the simplex method (Vol. 61). Springer Science & Business Media.
  6. Paris, Q. (2016). An economic interpretation of linear programming. Springer.
  7. Kaiser, H. M., & Messer, K. D. (2011). Mathematical programming for agricultural, environmental and resource economics. John Wiley and Sons, Inc.
  8. Padberg, M. (2013). Linear optimization and extensions (Vol. 12). Springer Science & Business Media.

Ενδεικτική Αρθρογραφία

  1. Protasov, V. Y. (2016). Spectral simplex method. Mathematical Programming, 156(1-2), 485-511.
  2. Dütting, P., Henzinger, M., & Weber, I. (2013). Sponsored search, market equilibria, and the Hungarian Method. Information Processing Letters, 113(3), 67-73.
  3. Maity, G., & Kumar Roy, S. (2016). Solving a multi-objective transportation problem with nonlinear cost and multi-choice demand. International Journal of Management Science and Engineering Management, 11(1), 62-70.
  4. Borgatti, S. P., Mehra, A., Brass, D. J., & Labianca, G. (2009). Network analysis in the social sciences. Science, 323(5916), 892-895.
  5. Stahlbock, R., & Voß, S. (2008). Operations research at container terminals: a literature update. OR spectrum, 30(1), 1-52.
  6. Shy, O. (2011). A short survey of network economics. Review of Industrial Organization, 38(2), 119-149.
  7. Higgins, A. J., Miller, C. J., Archer, A. A., Ton, T., Fletcher, C. S., & McAllister, R. R. J. (2010). Challenges of operations research practice in agricultural value chains. Journal of the Operational Research Society, 61(6), 964-973.
  8. Facchinei, F., & Kanzow, C. (2010). Generalized Nash equilibrium problems. Annals of Operations Research, 175(1), 177-211.
  9. Tong, D., & Murray, A. T. (2012). Spatial optimization in geography. Annals of the Association of American Geographers, 102(6), 1290-1309.
  10. Anas, A. (2013). Modelling in urban and regional economics. Taylor & Francis.
  11. Omu, A., Choudhary, R., & Boies, A. (2013). Distributed energy resource system optimisation using mixed integer linear programming. Energy Policy, 61, 249-266.
  12. Firth, S. K., Lomas, K. J., & Wright, A. J. (2010). Targeting household energy-efficiency measures using sensitivity analysis. Building Research & Information, 38(1), 25-41.
  13. Rafiee, S., Avval, S. H. M., & Mohammadi, A. (2010). Modeling and sensitivity analysis of energy inputs for apple production in Iran. Energy, 35(8), 3301-3306.
  14. Chen, Y., Yu, J., & Khan, S. (2010). Spatial sensitivity analysis of multi-criteria weights in GIS-based land suitability evaluation. Environmental modelling & software, 25(12), 1582-1591.
  15. He, P., Ng, T. S., & Su, B. (2017). Energy-economic recovery resilience with Input-Output linear programming models. Energy Economics, 68, 177-191.
  16. Demirel, E., Demirel, N., & Gökçen, H. (2016). A mixed integer linear programming model to optimize reverse logistics activities of end-of-life vehicles in Turkey. Journal of Cleaner Production, 112, 2101-2113.
  17. Hajiahmadi, M., Haddad, J., De Schutter, B., & Geroliminis, N. (2014). Optimal hybrid perimeter and switching plans control for urban traffic networks. IEEE Transactions on Control Systems Technology, 23(2), 464-478.
  18. Omu, A., Choudhary, R., & Boies, A. (2013). Distributed energy resource system optimisation using mixed integer linear programming. Energy Policy, 61, 249-266.
  19. Thies, C., Kieckhäfer, K., Spengler, T. S., & Sodhi, M. S. (2019). Operations research for sustainability assessment of products: A review. European Journal of Operational Research, 274(1), 1-21.
  20. Bjοrndal, T., Herrero, I., Newman, A., Romero, C., & Weintraub, A. (2012). Operations research in the natural resource industry. International Transactions in Operational Research, 19(1-2), 39-62.

Άλλη σχετική ενδεικτική βιβλιογραφία

  1. Ε.Χ. Φούντας, Α.Γ. Βλάχος (2013) Μαθηματικός Προγραμματισμός και Θεωρία Παιγνίων 1, Μαρκέλλα Ι. Βαρβαρήγου
  2. MacKinnon, J. G. (1975). An algorithm for the generalized transportation problem. Regional Science and Urban Economics, 5(4), 445-464.
  3. Delson, J. K., & Shahidehpour, S. M. (1992). Linear programming applications to power system economics, planning and operations. IEEE Transactions on Power Systems, 7(3), 1155-1163.
  4. Isard, W., Azis, I. J., Drennan, M. P., Miller, R. E., Saltzman, S., & Thorbecke, E. (2017). Methods of interregional and regional analysis. Taylor & Francis.
  5. Killen, J. (2021). Mathematical programming methods for geographers and planners. Routledge.
  6. Dorfman, R. (2020). Application of Linear Programming to the Theory of the Firm. University of California Press.
  7. Patriksson, M. (2015). The traffic assignment problem: models and methods. Courier Dover Publications.
  8. Paris, Q. (2016). An economic interpretation of linear programming. Springer.
  9. Daniel, S. E., Diakoulaki, D. C., & Pappis, C. P. (1997). Operations research and environmental planning. European journal of operational research, 102(2), 248-263.
  10. Swart, W. W., Var, T., & Gearing, C. E. (1978). Operations research applications to tourism. Annals of Tourism Research, 5(4), 414-428.
  11. Vidale, M. L., & Wolfe, H. B. (1957). An operations-research study of sales response to advertising. Operations research, 5(3), 370-381.
  12. Rardin, R. L., & Rardin, R. L. (1998). Optimization in operations research (Vol. 166). Upper Saddle River, NJ: Prentice Hall.
  13. Ecker, J. G., & Kupferschmid, M. (1988). Introduction to operations research. New York: Wiley.
  14. Dorfman, R., Samuelson, P. A., & Solow, R. M. (1987). Linear programming and economic analysis. Courier Corporation.

Συναφή επιστημονικά περιοδικά

Operations Research Letters (Elsevier)

European Journal of Operations Research (Elsevier)

Journal of Operational Research Society (Taylor & Francis)

Annals of Operations Research (Springer)

Operations Management Research (Springer)

Operational Research (Springer)

4OR (Springer)

Operations Research Perspectives (Elsevier)

International Journal of Mathematics in Operational Research (Inderscience)

Advances in Operations Research (Hindawi)

Educational Staff

Panagiotis Mitropoulos

2265072268
pmitro@aua.gr
Panagiotis Mitropoulos is an Assistant Professor at the Department of Regional and […]

NEWSLETTER

Incorporated into the Agricultural University of Athens (AUA), Law 4589 - Government Gazette 13/A/29.01.2019. Originally it belonged to the School of Management and Economics of the former Technical University of Central Greece. 
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