Gri Hedef Programlama ile İşgücü Çizelgeleme Karar Problemlerinin Çözümü

Öz İşgücü çizelgeleme karar problemleri vardiyalı ve düzensiz iş günlerinde çalışan işletmelerin çözmesi gereken zor ve zaman alıcı bir sorundur.  Günümüz rekabet koşulları düşünüldüğünde belirsizlik altında kararlar almak kaçınılmaz olmaktadır. Gri sistem teorisi eksik bilgiden kaynaklanan belirsizliğin modellenmesinde kullanılan yöntemler içermektedir. Hedef Programlama yöntemi ise karar problemini sınırlayan kısıtlar çerçevesinde belirlenmiş hedeflerden sapmaları minimize edecek tatmin edici çözümler sunmaktadır. İşgücü çizelgeleme karar problemi karar vericinin birden fazla hedefe sahip olduğu bir karar problemi çeşididir. Bu açıdan eksik bilgiden kaynaklanan belirsizliğin hakim olduğu prototip üretiminde Gri Hedef Programlama yaklaşımının kullanılması uygun olmaktadır. Bu çalışmada otomotiv sektöründe faaliyet göstermekte olan bir işletmenin prototip üretiminde karşılaştığı işgücü çizelgeleme karar problemi incelenmiştir. İşletmeden alınan gerçek verilerle oluşturulan model Excel Solver yardımıyla çözülmüştür. 

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  • Akdeniz, A. ve Aras, A. (2010). İzmir’de kurulu bir plastik ı şletmesinde karar vericinin optimal hedeflere odaklanmasında toplamsal model tabanlı bulanık hedef programlama, Dokuz Eylül Üniversitesi osyal Bilimler Enstitüsü Dergisi, 12(3). 7- 19.
  • Askari, M. ve Askari, H. (2011). Time series grey system prediction-based models, gold price forecasting, Trends in Applied Sciences Research, 6(11). 1287-1292.
  • Atmaca, Ü. (2002). Bankacılık sisteminde organizasyon yapısındaki değişim ve doğru ölçeği bulma, Gazi Üniversitesi osyal Bilimler Enstitüsü Dergisi, 14, 91- 103.
  • Aykin, T. (2000). A comparative evaluation of modelling approaches to the labor shift scheduling problem, European Journal of Operational Research. 125, 381- 397.
  • Azaiez, M. N. ve Al Sharif, S. S. (2005). A 0-1 goal programming model for nurse scheduling, Computers & Operations Research, 32(3), 491-507.
  • Balderas, F., Fernandez, E., Gomez-Santillan, C., Cruz-Reyes, L., Rangel-Valdez, N. ve Morales-Rodríguez, M. L. (2018). A grey mathematics approach for evolutionary multi objective metaheuristic of project portfolio selection, Fuzzy Logic Augmentation of Neural and Optimization Algorithms, Theoretical Aspects and Real Applications, 749, 379-388.
  • Bechtold, S. E. ve Jacobs, L. W. (1990). Implicit modeling of flexible break assignments in optimal shift scheduling, Management Science, 4(42), 589-602.
  • Buffa, F. P. ve Jackson, W. M. (1983). A goal programming model for purchase planning, Journal of Purchasing and Materials Management, 12, 27-34.
  • Çelikbilek, Y. (2018). A grey analytic hierarchy process approach to project manager selection, Journal of Organizational Change Management, 31(3), 749-765.
  • Charnes, A. ve Cooper, W. W. (1961). Management Models and Industrial Applications of Linear Programming, New York, John Wiley and Sons.
  • Charnes, A., Cooper, W. W. ve Ferguson, R. O. (1955). Optimal estimation of executive compensation by linear programming, Management Science, 1(2), 138- 151.
  • Charnes, A., Cooper, W. W. (1977). Goal programming and multiple objective optimizations: Part 1. European journal of operational research, 1(1), 39-54.
  • Chu, S. C. (2007). Generating, scheduling and rostering of shift crew-duties, applications at the Hong Kong International Airport, European Journal of Operational Research, 177(3), 1764-1778.
  • Deng, J. (1982). Control problems of grey systems, Systems and Control Letters, 5, 288-294.
  • Deng, J. (1982). Grey control system, Journal of Huazhong University of Science and Technology, 3, 9-18.
  • Deng, J. (1988). Grey System, Beijing, China Ocean Press.
  • Girginer, N. ve Uçkun, N. (2015). Efficiency analysis of surgical services by combined use of data envelopment analysis and gray relational analysis, Journal of Medical Systems, 56, 1-9.
  • Hajiagha, S. H., Akrami, H. ve Hashemi, S. S. (2012). A multi-objective programming approach to solve grey linear programming, Grey Systems, Theory and Application, 2(2), 259-271.
  • Hamzaçebi, C. ve Pekkaya, M. (2011). Determining of stock investments with grey relational analysis, Expert Systems with Applications, 8(38), 9186-9195 .
  • Hemaida, R. ve Hupfer, M. (1995). A multiobjective model for managing faculty resources, Journal of Applied Business Research, 11(1), 20-37.
  • Hsiao, S. W., Lin, H. H. ve Ko, Y. C. (2017). Application of grey relational analysis to decision-making during product development, Eurasia Journal of Mathematics, Science and Technology Education, 13, 2581–2600.
  • Hu, Y. C., Jiang, P. ve Lee, P. C. (2018). Forecasting tourism demand by incorporating neural networks into grey–markov models, Journal of The Operational Research Society, 1, 1-9.
  • Huarng, F. (1999). A primary shift rotation nurse scheduling using zero-one linear goal programming, Computers in nursing, 17(3), 135-144.
  • Ignizio, J. (1976). Goal Programming and Extensions, Washington, Lexington Books. Ijiri, Y. (1965). Management Goals and Accounting for Control, Amsterdam, North-Holland Publishing Company.
  • Ishibuchi, H. ve Tanaka, H. (1990). Multiobjective programming in optimization of the interval objective function, European Journal of Operational Research, 2(48), 219-225.
  • Jones, D. ve Tamiz, M. (2010). Practical Goal Programming, London, Springer Science+Business Media, LLC.
  • Karaman, B. ve Çerçioğlu, H. (2015). 0-1 hedef programlama destekli bütünleşik ahp-vikor yöntemi, hastane yatırımı projeleri seçimi, Gazi Üniversitesi ü en islik imarlık Fakültesi Dergisi, 3(4), 567-576.
  • Kayacan, E. ve Okyay, K. (2010). Grey system theory-based models in time series prediction, Expert Systems with Applications, 37, 1784-1789.
  • Köse, E. Temiz, İ. ve Erol, S. (2011). Grey system approach for economic order quantity models under uncertainty, The Journal of Grey System, 1, 71-82.
  • Kwak, N. K. ve Schniederjans, M. J. (1982). An alternative method for solving goal programming problems, a reply, The Journal of The Operational Research Society, 33, 859-860.
  • Lee, J. W. ve Kim, S. H. (2000). Using analytic network process and goal programming for interdependent information system project selection, Computers and Operations Research, 4(27), 367-382.
  • Leung, L. C., Cao, D. ve Lin, T. W. (2000). On consistency and ranking of alternatives in fuzzy AHP, European Journal of Operational Research, 23, 102-124.
  • Li, Q. X. (2007). The cover solution of grey linear programming, The Journal of Grey System, 4, 309-320.
  • Liu, H. C., Liu, L., Bian, Q. H., Lin, Q. L., Dong, N. ve Xu, P. C. (2011). Failure mode and effect analysis using fuzzy evidential reasoning approach and grey theory, Expert Systems with Applications, 38, 4403-4415.
  • Liu, S. ve Dang, Y. (2009). On positioned solution of linear programming with grey parameters, Proceedings of The 2009 IEEE International Conference on Systems, Man, and Cybernetics, 751-756.
  • Liu, S. ve Lin, Y. (2006). Grey Information Theory and Practical Applications, New York, Springer.
  • Liu, S., Fang, Z., Yang, Y. ve Forrest, J. (2012). General grey numbers and its operations, General Grey Numbers and Their Operations, 2(3), 341-349.
  • Mahdiraji, H. A., Hajiagha, S. H., Hashemi, S. S. ve Zavadskas, E. K. (2016). A grey multi-objective linear model to find critical path of a project by using time, cost, quality and risk parameters, Business Administration and Management, 14, 49- 60.
  • Mathirajan, M. ve Ramanathan, R. (2007). A (0–1) goal programming model for scheduling the tour of a marketing executive. European Journal of Operational Research, 179(2), 554-566.
  • Medoza, A., Santioga, E. ve Ravindran, A. R. (2008). Three-phase multicriteria method to the supplier selection problem, International Journal of Industrial Engineering, 2(15), 195-210.
  • Memon, M. S., Lee, Y. H., Mari, S. I. ve Cho, S. Y. (2014). A grey-goal programming based approach for managing product safety risk in supplier selection decision, Taipei, International Symposium on Semiconductor Manufacturing Intelligence.
  • Moore, R. E. (1979). Methods and Applications of Interval Analysis, New York, SIAM.
  • Orumie, U. C. ve Ebong, D. (2014). A glorious literature on linear goal programming algorithms, American Journal of Operations Research, March, 4(1), 59-71.
  • Özdemir, A. İ. ve Deste, M. (2009). Gri ilişkisel analiz ile çok kriterli tedarikçi seçimi, otomotiv sektöründe bir uygulama, İstanbul Üniversitesi İşletme Fakültesi Dergisi, 38(2), 147-156.
  • Özdemir, A. ve Özdağoğlu, G. (2017). Predicting product demand from small-sized data, Grey Models, Grey Systems, Theory and Application, 7(1), 80-96.
  • Paksoy, T. ve Chang, C. (2010). Revised multi-choice goal programming for multiperiod, multi-stage inventory controlled supply chain model with popup stores in guerrilla marketing, Applied Mathematical Modelling, 11(34), 3586-3598.
  • Papageorgiou, E. I. ve Salmeron, J. L. (2012). Learning fuzzy grey cognitive maps using nonlinear hebbian-based approach, International Journal of Approximate Reasoning, 53, 54–65.
  • Rahimnia, F. ve Mashreghi, E. (2011). Application of grey theory approach to evaluation of organizational vision, Grey Systems, Theory and Application, 1(1), 33- 46.
  • Rajesh, R. ve Ravi, V. (2015). Supplier selection in resilient supply Chains, A grey relational analysis approach, Journal of Cleaner Production, 86, 343-359.
  • Roijers, D. M. ve Whiteson, S. (2017). Multi-Objective Decision Making, Texas, Morgan and Claypool Publishers.
  • Romero, C. (1991). Handbook of Critical Issues in Goal Programming, New York, Pergamon Press.
  • Sadeghi, M., Hajiagha, S. H. ve Hashemi, S. S. (2013). A fuzzy grey goal programming approach for aggregate production planning mohammadreza, Int J Adv Manuf Technol, 64, 1715–1727.
  • Sadeghieh, A., Dehghanbaghi, M., Dabbaghi A. ve Barak , S. (2012). A genetic algorithm based grey goal programming (g3) approach for parts supplier evaluation and selection, International Journal of Production Research, 50, 4612-4630.
  • Schniederjans, M. J. (1995). Goal Programming, Methodology and Applications, New York, Springer Science+Business Media, LLC.
  • Sinha, B. ve Sen, N. (2011). Goal programming approach to tea industry of barak valley of assam, Applied Mathematical Sciences, 5(29), 1409-1419.
  • Topaloğlu, S. (2006). A multi-objective programming model for scheduling emergency medicine residents, Computers & Industrial Engineering, 51(3), 375- 388.
  • Tseng, M. L. (2009). A causal and effect decision making model of service quality expectation using grey-fuzzy DEMATEL approach, Expert Systems With Applications, 36, 7738-7748.
  • Wang, Y., Tang, J. ve Cao, W. (2012). Grey prediction model-based food security early warning prediction, Grey Systems, Theory and Application, 1(2), 13-23. Wenping, W. (1997). Study on grey linear programming, Journal of Grey Systems, 1(9), 41-46.
  • Xia, M. ve Wong, W. K. (2014). A seasonal discrete grey forecasting model for fashion retailing, Knowledge-Based Systems, 57, 119-126.
  • Xinping, X. (1998). New study on the solution of grey linear programming, Journal of Grey System, 2(10), 133-139.
  • Yao, A. W., Chi, S. C. ve Chen, J. H. (2003). An improved grey-based approach for electricity demand forecasting, Electric Power Systems Research, 67, 217-224.
  • Young, R. C. (1931). The algebra of many-valued quantities, Mathematische Annalen, 260-290.