دنیا رحمانی

دانشیار

تاریخ به‌روزرسانی: 1405/05/29

دنیا رحمانی

مهندسی صنایع / سیستم های اقتصادی اجتماعی

مقالات علمی چاپ شده در مجلات

  1. "QoS-aware placement of MEC servers in an O-RAN architecture"
    Nasim Kazemifard, Donya Rahmani
    Cluster Computing-The Journal of Networks Software Tools and Applications, Vol. 29, 2026
  2. "Data-driven distributionally robust optimization for resilient healthcare resource planning and crisis mitigation"
    Shaghayegh Heyhat, Donya Rahmani, Shahrooz Shahparvari
    TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW, Vol. 205, 2026
  3. "Benders decomposition-based solution approach for periodic relief distribution with dynamic deprivation time modelling"
    Sanaz Khalaj rahimi, Donya Rahmani, Tom Van Woensel
    COMPUTERS and INDUSTRIAL ENGINEERING, 2026
  4. "Improving Healthcare Service Quality: A System Dynamics Approach to Managing Visit Times and Reducing Error Rates"
    Fatemeh Ghayoor, Donya Rahmani
    Journal of Systems Thinking in Practice, Vol. 4, pp.16-38, 2025
  5. "Enhancing disease x' responsiveness: a risk-averse distributionally robust optimization approach for resource allocation under infectious disease transmission variability"
    Shaghayegh Heyhat, Donya Rahmani, Shahrooz Shahparvari
    INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, pp.1-27, 2025
  6. "Exchange-Based Industry Selection for Eco-Industrial Parks: A Mixed-Integer Programming Mathematical Model"
    Yasaman Fallahpour, Emad Roghanian, Donya Rahmani
    Advances in Industrial Engineering, 2025
  7. "Healthcare Resource and Staffing Optimization Model for Pandemic Response"
    Shaghayegh Heyhat, Donya Rahmani
    Advances in Industrial Engineering, Vol. 59, pp.111-131, 2025
  8. "Managing Electric Vehicle Charging Networks: Cooperative Servicing Utilizing Mobile Charging Stations"
    Sasan Kazazi Darani, Donya Rahmani, Mahdi Bashiri
    Advances in Industrial Engineering, Vol. 59, pp.199-214, 2025
  9. "Robust optimization in an agricultural closed-loop supply chain network design with a price and freshness-dependent demand: hybrid rat with particle swarm optimization algorithm"
    Mehran Gharyemirzaei, Saeideh Gholami, Donya Rahmani, Fariba Goodarzian, Saeed Khanchehzarrin
    ENVIRONMENT DEVELOPMENT AND SUSTAINABILITY, pp.1-36, 2024
  10. "An improved ALNS for hybrid pickup and drones delivery system in disaster by penalizing deprivation time"
    Sanaz Khalaj rahimi, Donya Rahmani
    COMPUTERS and OPERATIONS RESEARCH, pp.1-26, 2024
  11. "Providing a conceptual model for evaluating the impact of personalized advertising on brand equity"
    Sepideh Nasiri, Donya Rahmani, Setareh Heidari
    Vol. 3, pp.1-13, 2024
  12. "An optimisation model to design a maritime search and rescue system under uncertainty"
    Donya Rahmani, Seyed Babak Ebrahimi, Hadi Kian
    International Journal of Applied Decision Sciences, Vol. 17, pp.120-135, 2024
  13. "A hybrid multi-objective solution approach for a reliable truck-drone routing problem integrated with pickup and delivery services"
    Sanaz Khalaj rahimi, Donya Rahmani
    Transportation Letters-The International Journal of Transportation Research, pp.1-19, 2024
  14. "Dynamic pricing decision for new and returned products in a dual-channel supply chain based on customer segmentation"
    Donya Rahmani, Amin Pashapour
    SOFT COMPUTING, pp.1-20, 2024
  15. "A heuristic-based benders decomposition for the hybrid relief distribution network minimizing deprivation cost of vulnerable areas"
    Sanaz Khalaj rahimi, Donya Rahmani
    KYBERNETES, pp.1-43, 2024
  16. "Designing a sustainable supply chain for battery PVC cases: A multi-objective optimization approach"
    Mahmoud Tajik, Babak Mohamadpour Tosarkani, Ahmad Makui, Donya Rahmani
    COMPUTERS and INDUSTRIAL ENGINEERING, Vol. 193, pp.1-33, 2024
  17. "Performance Oriented Scheduling and Allocation Technique in Edge-Fog-Cloud Collaborative Environment"
    Fatemeh Ghayoor, Donya Rahmani, Amir Hossein Jafari Pozveh
    Advances in Industrial Engineering, Vol. 58, pp.439-456, 2024
  18. "Designing a competitive photovoltaic supply chain under uncertainty: An efficient L-shape algorithm"
    Atieh Kousha, Donya Rahmani, Ehsan Dehghani
    JOURNAL OF CLEANER PRODUCTION, Vol. 434, pp.1-21, 2024
  19. "Integrated optimal scheduling and routing of repair crew and relief vehicles after disaster: a novel hybrid solution approach"
    Sakineh Lakzaei, Donya Rahmani, Babak Mohamadpour Tosarkani, Sepideh Nasiri
    ANNALS OF OPERATIONS RESEARCH, pp.1-28, 2023
  20. "A Novel Hybrid Model for Technology Strategy Formulating in High-tech Industries under Uncertainty: A Case Study"
    N. Kazemifard, L. Bashir, Donya Rahmani
    International Journal of Engineering, Vol. 36, pp.1166-1178, 2023
  21. "A Novel Weighted Data-Driven Robust Optimization Approach for Creating Adjustable Uncertainty Sets"
    Mohsen Roytvand ghiasvand, Donya Rahmani
    COMPUTERS and CHEMICAL ENGINEERING, Vol. 178, pp.1-20, 2023
  22. "A mathematical model for the optimization of agricultural supply chain under uncertain environmental and financial conditions: the case study of fresh date fruit"
    Mehran Gharyemirzaei, Saeideh Gholami, Donya Rahmani
    ENVIRONMENT DEVELOPMENT AND SUSTAINABILITY, pp.1-34, 2023
  23. "Data-driven robust optimization for a multi-trip truck-drone routing problem"
    Mohsen Roytvand ghiasvand, Donya Rahmani, Mohammad Moshref-Javadi
    EXPERT SYSTEMS WITH APPLICATIONS, 2023
  24. "Can personalised prosocial ads be harnessed for brand equity enhancement"
    Setareh Heidari, Sepideh Nasiri, Donya Rahmani, Somaye Nargesi
    INTERNATIONAL JOURNAL OF INTERNET MARKETING AND ADVERTISING, pp.1-27, 2023
  25. "A hybrid model for supply chain risk management based on five-dimensional sustainability approach in telecommunication industry"
    Fatemeh Valinejad, Nasser Safaie, Donya Rahmani, Mohammad Reza Saadatmand
    International Journal of Engineering Transactions C: Aspects, Vol. 35, pp.1096-1110, 2022
  26. "Risk management of photovoltaic power plants using a novel fuzzy multi-criteria decision-making method based on prospect theory: A sustainable development approach"
    Soroush Shojaeimehr, Donya Rahmani
    Energy Conversion and Management-X, Vol. 16, pp.1-14, 2022
  27. ""
    Zahra Koochakzadeh, Saeideh Gholami, Donya Rahmani
    Vol. 10, pp.113-131, 2022
  28. "Pricing policy in green supply chain design: the impact of consumer environmental awareness and green subsidies"
    Maryam Shoaeinaeini, Kannan Govindan, Donya Rahmani
    Operational Research, pp.1-40, 2021
  29. "A light robust model for aggregate production planning with consideration of environmental impacts of machines"
    Donya Rahmani, Arash Zandi, Sara Behdad, Arezou Entezaminia
    Operational Research, pp.273-297, 2021
  30. "A Hybrid Truck-Drone Routing Problem Considering Deprivation Cost in the Post-Disaster Phase"
    Sanaz Khalaj rahimi, Donya Rahmani
    journal of quality engineering and production optimization, Vol. 6, pp.233-256, 2021
  31. "Using Decision Lattice Analysis to Model IOT-based Companies' profit"
    Nazanin Talebolfakhr, Seyed Babak Ebrahimi, Donya Rahmani
    Journal of Information Systems and Telecommunication, Vol. 8, pp.207-216, 2020
  32. "Routing flexibility for unequal-area stochastic dynamic facility layout problem in flexible manufacturing systems"
    Seyed Mohammad Ghadirpour, Donya Rahmani, Ghorbanali Moslemipour
    International Journal of Industrial Engineering and Production Research, Vol. 31, pp.269-285, 2020
  33. "Price and quality competition: The effect of directly and indirectly selling under two competitive manufacturers and one common retailer"
    Hossein Heydarian, Reza Ramezanian, Donya Rahmani
    journal of quality engineering and production optimization, Vol. 5, pp.129-144, 2020
  34. "A constrained multi-period robust portfolio model with behavioral factors and an interval semi-absolute deviation"
    Mostafa Abdolahimoghadamsalkoye, Seyed Babak Ebrahimi, Donya Rahmani
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 374, pp.1-20, 2020
  35. "A Stochastic Model for Prioritized Outpatient Scheduling in a Radiology Center"
    Zeynab Abtahi, Rashed Sahraeian, Donya Rahmani
    International Journal of Engineering, Transactions A: Basics, Vol. 33, pp.598-606, 2020
  36. "A Multi-Visit Heterogeneous Drone Routing Model Considering Recharging Decision in Disaster"
    Mehdi Changizi, Donya Rahmani, Reza Ramezanian
    Advances in Industrial Engineering, Vol. 54, pp.53-73, 2020
  37. "Predictive heuristics to generate robust and stable schedules in single machine systems under disruptions"
    Zeinab Abtahi, Rashed Sahraeian, Donya Rahmani
    Scientia Iranica, Vol. 27, pp.1-12, 2020
  38. "A New Approach Generating Robust and Stable Schedules in m-Machine Flow Shop Scheduling Problems: A Case Study"
    Zeynab Abtahi, Rashed Sahraeian, Donya Rahmani
    International Journal of Engineering, Transactions B: Applications, Vol. 33, pp.293-303, 2020
  39. "Joint decision on product greenness strategies and pricing in a dual-channel supply chain A robust possibilistic approach"
    Donya Rahmani, Moein Qaisari Hasan Abadi, Seyed Javad Hosseininezhad
    JOURNAL OF CLEANER PRODUCTION, Vol. 256, pp.1-16, 2020
  40. "A two-stage robust model for portfolio selection by using goal programming"
    Mostafa Abdolahimoghadamsalkoye, Seyed Babak Ebrahimi, Donya Rahmani
    Journal of Industrial and Systems Engineering, Vol. 12, pp.1-17, 2019
  41. ""
    Elahe Gowdini, Donya Rahmani, Emad Roghanian
    Vol. 7, pp.355-375, 2019
  42. ""
    Mehri Ebrahimi, Donya Rahmani, Reza Ramezanian
    Vol. 34-1, pp.63-78, 2019
  43. "Designing a robust and dynamic network for the emergency blood supply chain with the risk of disruptions"
    Donya Rahmani
    ANNALS OF OPERATIONS RESEARCH, Vol. 283, pp.613-641, 2019
  44. "A five-dimensional approach to sustainability for prioritizing energy production systems using a revised GRA method: A case study"
    Mehri Ebrahimi, Donya Rahmani
    RENEWABLE ENERGY, Vol. 135, pp.345-354, 2019
  45. ""
    Abdollah Sharifi, Abdollah Aghaei, Donya Rahmani
    Vol. 7, pp.29-44, 2019
  46. "A Huristic light Robust Approach to Increase the Quality of Robust Solutuons"
    Donya Rahmani, Morteza Hajipour, Nasser Safaie
    Journal of Industrial and Systems Engineering, Vol. 11, pp.1-16, 2018
  47. "Sustainability risk management in the supply chain of telecommunication companies A case study"
    Fatemeh Valinejad, Donya Rahmani
    JOURNAL OF CLEANER PRODUCTION, Vol. 203, pp.53-67, 2018
  48. ""
    Donya Rahmani
    Vol. 1-33, pp.105-115, 2018
  49. "A robust model for a humanitarian relief network with backup covering under disruptions A real world application"
    Donya Rahmani, Arash Zandi, elnaz peyghaleh, Nima Siamakmanesh
    International Journal of Disaster Risk Reduction, Vol. 28, pp.56-68, 2018
  50. "A location-inventory model considering a strategy to mitigate disruption risk in supply chain by substitutable products"
    Maryam Farahani, Hassan Shavandi, Donya Rahmani
    COMPUTERS and INDUSTRIAL ENGINEERING, Vol. 108, pp.213-224, 2017
  51. "Production and distribution planning in petroleum supply chains regarding the impacts of gas injection and swap"
    Mohsen Farahani, Donya Rahmani
    ENERGY, Vol. 141, pp.991-1003, 2017
  52. "A Mathematical Model for Vehicle Routing and Scheduling Problem with Cross-Docking by Considering Risk"
    shadman armaghan, ali bozorgi amiri, Donya Rahmani
    International Journal of Industrial Engineering and Production Research, Vol. 28, pp.189-199, 2017
  53. "Robust aggregate production planning in a green supply chain under uncertainty considering reverse logistics a case study"
    Arezoo Entezaminia, Mahdi Heidari, Donya Rahmani
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, Vol. 90, pp.1507-1528, 2017
  54. "A new proactive-reactive approach to hedge against uncertain processing times and unexpected machine failures in the two-machine flow shop scheduling problems"
    Donya Rahmani
    Scientia Iranica, Vol. 24, pp.1571-1584, 2017
  55. "Strategic and operational supply chain network design to reduce carbon emission considering reliability and robustness"
    Donya Rahmani, vahid mahmoodian
    JOURNAL OF CLEANER PRODUCTION, pp.607-620, 2017
  56. "A multi-objective model for multi-product multi-site aggregate production planning in a green supply chain Considering collection and recycling centers"
    , , Donya Rahmani
    JOURNAL OF MANUFACTURING SYSTEMS, Vol. 40, pp.63-75, 2016
  57. "A stable reactive approach in dynamic flexible flow shop scheduling with unexpected disruptions A case study"
    Donya Rahmani, Reza Ramezanian
    COMPUTERS and INDUSTRIAL ENGINEERING, Vol. 98, pp.360-372, 2016
  58. "Robust and stable flow shop scheduling with unexpected arrivals of new jobs and uncertain processing times"
    Donya Rahmani,
    JOURNAL OF MANUFACTURING SYSTEMS, Vol. 33, pp.84-92, 2014
  59. "A new robust fuzzy approach for aggregate production planning"
    Donya Rahmani, , Reza Ramezanian
    Scientia Iranica, Vol. 21, pp.2307-2314, 2014
  60. "A robust optimization model for multi-product two-stage capacitated production planning under uncertainty"
    Donya Rahmani, Reza Ramezanian, ,
    APPLIED MATHEMATICAL MODELLING, Vol. 37, pp.8957-8971, 2013
  61. "A new approach to reducing the effects of stochastic disruptions in flexible flow shop problems with stability and nervouness"
    Donya Rahmani, , ,
    International Journal of Management Science and Engineering Management, Vol. 8, pp.173-178, 2013
  62. "An aggregate production planning model for two phase production systems solving with genetic algorithm and tabu search"
    Reza Ramezanian, Donya Rahmani,
    EXPERT SYSTEMS WITH APPLICATIONS, Vol. 39, pp.1256-1263, 2012
  63. "Flow Shop Scheduling Problem with Missing Operations Genetic Algorithm and Tabu Search"
    Reza Ramezanian, , Donya Rahmani
    international journal of applied operational research, Vol. 1, pp.21-30, 2011

مقالات علمی ارائه شده در همایش‌ها

  1. ""
    Donya Rahmani
    كاربرد روش منطق شهودي در مسئله ي انتخاب پروژه,
  2. "20th Iranian International Industrial Engineering Conference"
    Maryam Saharkhan, Sepideh Nasiri, Donya Rahmani
    Mathematical Modeling of the Distribution System in the Retail Industry Using a Hybrid Truck-Drone Fleet, 2025
  3. "The 5th International Conference of system Dynamics and Systems Thinking"
    Maryam Saharkhan, Sepideh Nasiri, Donya Rahmani
    Optimizing Retail Supply Chain Management Based on Dynamic Demand Forecasting, 2025
  4. "The 10th International Conference on Industrial and Systems Engineering (ICISE 2024)"
    Fatemeh Ghayoor, Donya Rahmani, Amir Hossein Jafari
    بهينه سازي زمانبندي و تخصيص وظايف به منابع محاسباتي در يك شبكه همكارانه لبه- ابر, 2024
  5. "The 10th International Conference on Industrial and Systems Engineering (ICISE 2024)"
    Sasan Kazazi Darani, Donya Rahmani, Mahdi Bashiri
    مديريت شبكه شارژ خودروهاي الكتريكي با استفاده ازمسئله مكانيابي-يا-مسيريابي, 2024
  6. "19th Iranian International Industrial Engineering Conference"
    Faezeh Ghadiani, Donya Rahmani, Nahid Nafisi
    پيش بيني درگيري غده لنفاوي نگهبان در بيماران مبتلا به سرطان سينه با استفاده از مدلهاي يادگيري ماشين, 2024
  7. ""
    pejman peykani, Elaheh Memar-Masjed, Mir Saman Pishvaee, Donya Rahmani
    ارزيابي عملكرد شركتهاي توزيع برق ايران با بهره گيري از رويكرد تحليل پوششي داده هاي مبتني بر متغيرهاي كمكي, 2023
  8. "The 19th International Conference on Traffic and Transportation Engineering"
    Sanaz Khalaj rahimi, Donya Rahmani
    ارائه و حل مدل شبكه تركيبي توزيع كالاي امدادي با بكارگيري پهپاد و لجستيك زميني با در نظر گرفتن زمان محروميت نقاط آسيب پذير, 2023
  9. "18th iranian international industrial engineering conference"
    Sanaz Khalaj rahimi, Donya Rahmani
    مدل تركيبي تحويل با چند كاميون و چند پهپاد: استفاده مجدد از پهپاد ها با در نظر گرفتن محدوديت ظرفيت باتري, 2021
  10. "18th iranian international industrial engineering conference"
    Nafiseh Ghazavi, Donya Rahmani
    ارائه مدلي براي مسيريابي پهپاد براي نظارت بر مناطق آسيب ديده پس از بحران, 2021
  11. "14th International Conference of Iranian Operations Research Society"
    Rasoul Abdolmohammadi, Ahmad Dilmaghanian, Donya Rahmani
    تحليل پوششي داده ها با استفاده از داده هاي بازه اي: مطالعه موردي مدارس متوسطه اول شهر تهران, 2021
  12. "7 th inernational coference on industrial and systems engineering 00210-15845"
    Sanaz Khalaj rahimi, Donya Rahmani
    مدل مسيريابي تركيبي با چند كاميون و چند پهپاد براي اجراي عمليات تحويل كالاهاي امدادي, 2021
  13. "4 th International conference on modern development in management economics and accounting 00201-49455"
    Setareh Heidari, Sepideh Nasiri, Donya Rahmani
    New approaches to personal marketing EI-00338-AB, 2021
  14. "1st National Conference on Optimization and New Solution Methods"
    Mehdi Changizi, Donya Rahmani
    مسئله مسيريابي ناوگان پهپادي ناهمگون با در نظر گرفتن تابع انرژي در تحويل آخرين-مايل, 2021
  15. "2nd International Conference on Challenges and New Solutions in Industrial Engineering and Management and Accounting"
    Pezhman Peykani, mojtaba nouri, Donya Rahmani, Negar Raghai, Mir Saman Pishvaee
    ارزيابي عملكرد بانك ها با استفاده از رويكرد تركيبي تحليل پوششي داده ها و برنامه ريزي آرماني, 2021
  16. "2nd International Conference on Challenges and New Solutions in Industrial Engineering and Management and Accounting"
    Pezhman Peykani, Donya Rahmani, جعفر قيدار خلجاني, آرمين جبارزاده, محمدحسين كريمي گوارشكي
    A Novel Ranking Method Based on Uncertain DEA Model, 2021
  17. "2nd International Conference on Challenges and New Solutions in Industrial Engineering and Management and Accounting"
    Rasoul Abdolmohammadi, Ali Rahnama Shalmani, Donya Rahmani, Amir Khakbaz
    مكان يابي احداث نيروگاه خورشيدي بر اساس تئوري راف و تئوري چشم انداز (مطالعه موردي استان سمنان), 2021
  18. "17th Iranian International Industrial Engineering Conference"
    Nazanin Talebolfakhr, Seyed Babak Ebrahimi, Donya Rahmani
    Choosing Appropriate Pricing Strategies For Technology-based Products: A Real Option Approach, 2021
  19. "1st International Conference on Challenges and New Solutions in Industrial Engineering and Management and Accounting"
    Maryam Shoaeinaeini, Donya Rahmani
    ارزيابي ايستگاه هاي جمع آوري زباله شهر تهران با استفاده از تركيب روش هاي تحليل سلسله مراتبي فازي و تاپسيس, 2020
  20. "The 13th International Conference of Iranian Operations Research Society"
    Saeideh Gholami, Mehran Gharyemirzaei, Donya Rahmani
    a mathematical model for optimizing the supply chain of agricultural products considering byproducts: a case study (date product), 2020
  21. ""
    Faezeh Fallahian, Saeideh Gholami, Donya Rahmani, Seyed Mohammad Ghadirpour
    Modelling the green logistics problem in a bus transportation network design problem, 2020
  22. "14th International project management conference"
    Moein Qaisari Hasan Abadi, Donya Rahmani, Sara Taheran
    ارزيابي و سنجش موفقيت پروژه ها با استفاده از مديريت دانش محور, 2019
  23. "4th international conference on Industrial and Systems Engineering"
    Abdollah Sharifi, Abdollah Aghaei, Donya Rahmani
    شبيه سازي مدل كنترل موجودي محصولات فسادپذير با در نظر گرفتن تخفيف در قيمت فروش به كمك پويايي سيستم ها, 2018
  24. "4th international Industrial Engineering conference"
    Donya Rahmani, Babak Haghpour
    زنجيره ي تامين سبز سه سطحي با تمركز بر كاهش گازهاي كربني در سطح طراحي و عملياتي, 2018
  25. "4th international Industrial Engineering conference"
    Babak Haghpour, Donya Rahmani
    استفاده از روش انتخاب بر اساس فواصل ارزش هاي نسبي (ERVD) به منظور رتبه بندي عوامل موثر بر بهره وري نيروي انساني مطالعه موردي مديريت شعب بانك تجارت تهران, 2018
  26. "5th International Conference on Science and Engineering"
    armaghan shademan, ali bozorgi amiri, Donya Rahmani
    A Mathematical Model for Vehicle Routing and Scheduling Problem with Cross-Docking by considering risk, 2016
  27. "12th International Conference on Industrial Engineering"
    Donya Rahmani,
    a robust aggregate production planning model for risk-averse managers under uncertainty, 2016
  28. "11th International Industrial Engineering Conference"
    Donya Rahmani,
    An Efficient planning model for cancer chemotherapy based on acuity level, 2015
  29. "The 8th International Industrial Engineering Conference"
    Donya Rahmani,
    ارائه ي رويكرد پيش بينانه واكنشي جهت كاهش اثر خرابي هاي تصادفي براي زمانبندي سيستمهاي جريان كارگاهي از طريق مقياس هاي استواري و ثبات, 2012
  30. "4th International Conference of Iranian Operations Research Society"
    Donya Rahmani,
    A Robust Optimization Model to Minimize Makespan for Parallel batch processing machines with non-identical job sizes, 2011
  31. "4th International Conference of Iranian Operations Research Society"
    Donya Rahmani, Reza Ramezanian
    A Mixed Integer Linear Programming Model for Integrated Scheduling and Maintenance Problem, 2011
  32. ""
    Reza Ramezanian, Donya Rahmani
    Non-permutation flow shop scheduling problem with uncertain parameters, 2010
  33. ""
    Donya Rahmani, Reza Ramezanian
    A Robust Model for Aggregate Production Planning Solving with Particle Swarm Optimization, 2010
  34. ""
    Reza Ramezanian, Donya Rahmani
    Mixed-Integer Non-linear Programming Model for Hybrid Flow Shop Scheduling Problem with Unrelated machines and Release Time, 2010
  35. "2nd International Conference of Iranian Operations Research Society"
    Donya Rahmani,
    مدلسازي استوار براي زمانبندي سيستم فلوشاپ دو ماشيني تحت عدم قطعيت, 2009