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Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama Skip to content Yıl 2024, Cilt: 8 Sayı: 1, 20 – 38, 18.07.2024
Vildan Çorumlu Kumru Didem Atalay Esra Dinler
https://doi.org/10.56554/jtom.1251297
Öz Anahtar Kelimeler Proje çizelgeleme Bulanık kritik yol metodu Üyelik fonksiyonu Bulanık doğrusal programlama PERT, Project scheduling, Project scheduling
Kaynakça Ammar, M. A., ve Abd-ElKhalek, S. I. (2022). Criticality measurement in fuzzy project scheduling. International Journal of Construction Management, 22(2), 252-261. https://doi.org/10.1080/15623599.2019.1619226 Atlı Ö. ve Kahraman C. (2013). Bulanık Kritik Yol Analizi. Journal of Engineering and Natural Sciences Mühendislik ve Fen Bilimleri Dergisi, Sigma (31), 128-140. Başar, A. (2022). Yeni bir matematiksel model ve hibrit meta sezgisel ile kaynak kısıtlı projelerin çizelgelenmesi: Bir vaka çalışması. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 37(3), 1169-1184. https://doi.org/10.17341/gazimmfd.913666 Castro-Lacouture, D., Süer, G. A., Gonzalez-Joaqui, J., ve Yates, J. K. (2009). Construction project scheduling with time, cost, and material restrictions using fuzzy mathematical models and critical path method. Journal of Construction Engineering and Management, 135(10), 1096-1104. https://doi.org/10.1061/(ASCE)0733- 9364(2009)135:10(109) Chanas, S. ve Zieliński, P. (2001). Critical path analysis in the network with fuzzy activity times. Fuzzy sets and systems, 122(2), 195-204. https://doi.org/10.1016/S0165-0114(00)00076-2 Chen, S. P., ve Hsueh, Y. J. (2008). A simple approach to fuzzy critical path analysis in project networks. Applied Mathematical Modelling, 32(7), 1289-1297. https://doi.org/10.1016/j.apm.2007.04.009 Chwastyk, A. ve Pisz, I. (2020). Critical path analysis with imprecise activities times. Sustainable Economic Development and Application of Innovation Management, 2004-2013. https://repo.uni.opole.pl/info/article/UO6a9b4e31347445de85d73b03ece7ce3c/ Durucasu, H., İcan, Ö., Karamaşa, Ç., Yeşilaydın, G., ve Gülcan, B. (2015). Bulanık CPM Yöntemiyle Proje Çizelgeleme: İnşaat Sektöründe Bir Uygulama. Ege Akademik Bakış, 15 (4), 449-466. http://www.trdizin.gov.tr/publication/paper/detail/TVRrMU16SXhNUT09 Elkalla, I., Elbeltagi, E., ve El Shikh, M. (2021). Solving fuzzy time–cost trade-off in construction projects using linear programming. Journal of The Institution of Engineers (India): Series A, 102(1), 267-278. https://doi.org/10.1007/s40030-020-00489-7 Habibi, F., Birgani, O., Koppelaar, H. ve Radenović, S. (2018). Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT). Journal of Project Management, 3(4), 183-196. https://doi.org/10.5267/j.jpm.2018.4.002 Han, T. C., Chung, C. C., ve Liang, G. S. (2006). Application of fuzzy critical path method to airports cargo ground operation systems. Journal of Marine Science and Technology, 14(3), 2. https://doi.org/10.51400/2709-6998.2067 Herroelen, W. ve Leus, R. (2005). Project scheduling under uncertainty: Survey and research potentials. European journal of operational research, 165(2), 289-306. https://doi.org/10.1016/j.ejor.2004.04.002 ISO 21502:2020 Project, Programme and Portfolio Management – Guidance On Project Management, Switzerland: ISO, 2020. Jayagowri, P. ve Geetharamani, G. (2015). Using metric distance ranking method to find intuitionistic fuzzy critical path. Journal of Applied Mathematics, 2015. https://doi.org/10.1155/2015/952150 Kenar, E. (2021). Klasik Pert ve Bulanık Pert Yöntemleri ile Proje Yönetimi ve Bir Mermer Fabrikası Kurulumunda Uygulaması (Doktora Tezi). Lai, Y. J. ve Hwang, C. L. (1992). Fuzzy mathematical programming. In Fuzzy mathematical programming (pp. 74-186). Springer, Berlin, Heidelberg. Li, F. ve Wei, J. (2007, September). A fuzzy approach for the project management. In 2007 International Conference on Wireless Communications, Networking and Mobile Computing (pp. 5180-5183). IEEE. Liang, T. F., Huang, T. S., ve Yang, M. F. (2012). Application of fuzzy mathematical programming to imprecise project management decisions. Quality & Quantity, 46(5), 1451-1470. https://doi.org/10.1007/s11135-011-9460- y Madhuri, K. U., Saradhi, B. P. ve Shankar, N. R. (2013). Fuzzy linear programming model for critical path analysis. Int. J. Contemp. Math. Sciences, 8(2), 93-116. https://doi.org/10.12988/ijcms.2013.13010 Mazlum, M., ve Güneri, A. F. (2015). CPM, PERT and project management with fuzzy logic technique and implementation on a business. Procedia-Social and Behavioral Sciences, 210, 348-357. https://doi.org/10.1016/j.sbspro.2015.11.378 Sadjadi, S. J., Pourmoayed, R. ve Aryanezhad, M. B. (2012). A robust critical path in an environment with hybrid uncertainty. Applied Soft Computing, 12(3), 1087-1100. https://doi.org/10.1016/j.asoc.2011.11.015 Saradhi, B. P., Ramesh, H., Shankar, N. R. ve Shaik, R. (2021). Hesitant Fuzzy Project Planning and Scheduling using Critical path Technique. Turkish Journal of Computer and Mathematics Education, 12(6), 5272-5286. https://www.proquest.com/scholarly-journals/hesitant-fuzzy-project-planning-schedulingusing/ docview/2640416443/se-2?accountid=15426 Sethupathy.G., Judson L., ve Paul V.K. (2020). Time – Cost Optimization (TCO) By Application Of Fuzzy Logic In Construction Projects. International Journal of Creative Research Thoughts, 8(6), 479-486. https://doi.org/10.6084/m9.doi.one.IJCRT2006070 Shankar, N. R., Sireesha, V. ve Rao, P. P. B. (2010). An analytical method for finding critical path in a fuzzy project network. International Journal of contemporary mathematical sciences, 5(20), 953-962. https://api.semanticscholar.org/CorpusID:14403952 Sireesha, V., Rao, K. S., Shankar, N. R., ve Babu, S. S. (2012). Critical path analysis in the network with fuzzy interval numbers as activity times. intervals, 16, 21. https://doi.org/10.1016/S0165-0114(00)00076-2 Soysal, S., Dengiz, B., ve Atalay, K. (2021). Belirsizlik altında kaynak kısıtlı çok modlu çoklu proje çizelgeleme. Journal of Turkish Operations Management, 5(1), 598-614. Subulan, K. (2020). Çok amaçlı kurumsal kaynak planlaması uyarlama projelerinin insan kaynağı kısıtı ve belirsizlik altında çizelgelenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 35(3), 1469-1486. https://doi.org/10.17341/gazimmfd.519652 Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353. Zimmermann, H. J. (1983). Fuzzy mathematical programming. Computers & operations research, 10(4), 291-298. https://doi.org/10.1016/0305-0548(83)90004-7
A novel method with fuzzy linear programming in project scheduling: Application in software project Yıl 2024, Cilt: 8 Sayı: 1, 20 – 38, 18.07.2024
Vildan Çorumlu Kumru Didem Atalay Esra Dinler
https://doi.org/10.56554/jtom.1251297
Öz Projects are the works in which the outputs are obtained by using the resources efficiently in a time with a certain start and end date. Achieving the project output quickly is important in order to gain competitive advantage in the market. For this reason, it is important to complete the project on time. At this stage, the issue of project scheduling comes to the fore. There are many methods used in project scheduling, such as the Critical Path Method and the Program Evaluation and Review Technique. Due to problems in estimating these parameters when activity times are uncertain, these methods may not be able to represent real projects accurately and fully. Fuzzy theory is a fundamental way to eliminate these problems and improve scheduling. The fuzzy theory brings the project scheduling models closer to reality by taking into account the uncertainties in the parameters, the situations caused by imprecise or incomplete information. In this study, a novel method based on fuzzy linear programming is proposed to determine the completion times of the project in case of uncertainty in the activity period of the project. In order to evaluate the proposed method, an application is carried out in a real software project. When the model results are examined, it has been observed that the project completion times shorten as the membership degrees decrease.
Anahtar Kelimeler Project scheduling, fuzzy critical path method, membership function, fuzzy linear programming, PERT
Kaynakça Ammar, M. A., ve Abd-ElKhalek, S. I. (2022). Criticality measurement in fuzzy project scheduling. International Journal of Construction Management, 22(2), 252-261. https://doi.org/10.1080/15623599.2019.1619226 Atlı Ö. ve Kahraman C. (2013). Bulanık Kritik Yol Analizi. Journal of Engineering and Natural Sciences Mühendislik ve Fen Bilimleri Dergisi, Sigma (31), 128-140. Başar, A. (2022). Yeni bir matematiksel model ve hibrit meta sezgisel ile kaynak kısıtlı projelerin çizelgelenmesi: Bir vaka çalışması. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 37(3), 1169-1184. https://doi.org/10.17341/gazimmfd.913666 Castro-Lacouture, D., Süer, G. A., Gonzalez-Joaqui, J., ve Yates, J. K. (2009). Construction project scheduling with time, cost, and material restrictions using fuzzy mathematical models and critical path method. Journal of Construction Engineering and Management, 135(10), 1096-1104. https://doi.org/10.1061/(ASCE)0733- 9364(2009)135:10(109) Chanas, S. ve Zieliński, P. (2001). Critical path analysis in the network with fuzzy activity times. Fuzzy sets and systems, 122(2), 195-204. https://doi.org/10.1016/S0165-0114(00)00076-2 Chen, S. P., ve Hsueh, Y. J. (2008). A simple approach to fuzzy critical path analysis in project networks. Applied Mathematical Modelling, 32(7), 1289-1297. https://doi.org/10.1016/j.apm.2007.04.009 Chwastyk, A. ve Pisz, I. (2020). Critical path analysis with imprecise activities times. Sustainable Economic Development and Application of Innovation Management, 2004-2013. https://repo.uni.opole.pl/info/article/UO6a9b4e31347445de85d73b03ece7ce3c/ Durucasu, H., İcan, Ö., Karamaşa, Ç., Yeşilaydın, G., ve Gülcan, B. (2015). Bulanık CPM Yöntemiyle Proje Çizelgeleme: İnşaat Sektöründe Bir Uygulama. Ege Akademik Bakış, 15 (4), 449-466. http://www.trdizin.gov.tr/publication/paper/detail/TVRrMU16SXhNUT09 Elkalla, I., Elbeltagi, E., ve El Shikh, M. (2021). Solving fuzzy time–cost trade-off in construction projects using linear programming. Journal of The Institution of Engineers (India): Series A, 102(1), 267-278. https://doi.org/10.1007/s40030-020-00489-7 Habibi, F., Birgani, O., Koppelaar, H. ve Radenović, S. (2018). Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT). Journal of Project Management, 3(4), 183-196. https://doi.org/10.5267/j.jpm.2018.4.002 Han, T. C., Chung, C. C., ve Liang, G. S. (2006). Application of fuzzy critical path method to airports cargo ground operation systems. Journal of Marine Science and Technology, 14(3), 2. https://doi.org/10.51400/2709-6998.2067 Herroelen, W. ve Leus, R. (2005). Project scheduling under uncertainty: Survey and research potentials. European journal of operational research, 165(2), 289-306. https://doi.org/10.1016/j.ejor.2004.04.002 ISO 21502:2020 Project, Programme and Portfolio Management – Guidance On Project Management, Switzerland: ISO, 2020. Jayagowri, P. ve Geetharamani, G. (2015). Using metric distance ranking method to find intuitionistic fuzzy critical path. Journal of Applied Mathematics, 2015. https://doi.org/10.1155/2015/952150 Kenar, E. (2021). Klasik Pert ve Bulanık Pert Yöntemleri ile Proje Yönetimi ve Bir Mermer Fabrikası Kurulumunda Uygulaması (Doktora Tezi). Lai, Y. J. ve Hwang, C. L. (1992). Fuzzy mathematical programming. In Fuzzy mathematical programming (pp. 74-186). Springer, Berlin, Heidelberg. Li, F. ve Wei, J. (2007, September). A fuzzy approach for the project management. In 2007 International Conference on Wireless Communications, Networking and Mobile Computing (pp. 5180-5183). IEEE. Liang, T. F., Huang, T. S., ve Yang, M. F. (2012). Application of fuzzy mathematical programming to imprecise project management decisions. Quality & Quantity, 46(5), 1451-1470. https://doi.org/10.1007/s11135-011-9460- y Madhuri, K. U., Saradhi, B. P. ve Shankar, N. R. (2013). Fuzzy linear programming model for critical path analysis. Int. J. Contemp. Math. Sciences, 8(2), 93-116. https://doi.org/10.12988/ijcms.2013.13010 Mazlum, M., ve Güneri, A. F. (2015). CPM, PERT and project management with fuzzy logic technique and implementation on a business. Procedia-Social and Behavioral Sciences, 210, 348-357. https://doi.org/10.1016/j.sbspro.2015.11.378 Sadjadi, S. J., Pourmoayed, R. ve Aryanezhad, M. B. (2012). A robust critical path in an environment with hybrid uncertainty. Applied Soft Computing, 12(3), 1087-1100. https://doi.org/10.1016/j.asoc.2011.11.015 Saradhi, B. P., Ramesh, H., Shankar, N. R. ve Shaik, R. (2021). Hesitant Fuzzy Project Planning and Scheduling using Critical path Technique. Turkish Journal of Computer and Mathematics Education, 12(6), 5272-5286. https://www.proquest.com/scholarly-journals/hesitant-fuzzy-project-planning-schedulingusing/ docview/2640416443/se-2?accountid=15426 Sethupathy.G., Judson L., ve Paul V.K. (2020). Time – Cost Optimization (TCO) By Application Of Fuzzy Logic In Construction Projects. International Journal of Creative Research Thoughts, 8(6), 479-486. https://doi.org/10.6084/m9.doi.one.IJCRT2006070 Shankar, N. R., Sireesha, V. ve Rao, P. P. B. (2010). An analytical method for finding critical path in a fuzzy project network. International Journal of contemporary mathematical sciences, 5(20), 953-962. https://api.semanticscholar.org/CorpusID:14403952 Sireesha, V., Rao, K. S., Shankar, N. R., ve Babu, S. S. (2012). Critical path analysis in the network with fuzzy interval numbers as activity times. intervals, 16, 21. https://doi.org/10.1016/S0165-0114(00)00076-2 Soysal, S., Dengiz, B., ve Atalay, K. (2021). Belirsizlik altında kaynak kısıtlı çok modlu çoklu proje çizelgeleme. Journal of Turkish Operations Management, 5(1), 598-614. Subulan, K. (2020). Çok amaçlı kurumsal kaynak planlaması uyarlama projelerinin insan kaynağı kısıtı ve belirsizlik altında çizelgelenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 35(3), 1469-1486. https://doi.org/10.17341/gazimmfd.519652 Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353. Zimmermann, H. J. (1983). Fuzzy mathematical programming. Computers & operations research, 10(4), 291-298. https://doi.org/10.1016/0305-0548(83)90004-7
Yıl 2024, Cilt: 8 Sayı: 1, 20 – 38, 18.07.2024
Vildan Çorumlu Kumru Didem Atalay Esra Dinler
https://doi.org/10.56554/jtom.1251297
Öz Anahtar Kelimeler Proje çizelgeleme Bulanık kritik yol metodu Üyelik fonksiyonu Bulanık doğrusal programlama PERT, Project scheduling, Project scheduling
Kaynakça Ammar, M. A., ve Abd-ElKhalek, S. I. (2022). Criticality measurement in fuzzy project scheduling. International Journal of Construction Management, 22(2), 252-261. https://doi.org/10.1080/15623599.2019.1619226 Atlı Ö. ve Kahraman C. (2013). Bulanık Kritik Yol Analizi. Journal of Engineering and Natural Sciences Mühendislik ve Fen Bilimleri Dergisi, Sigma (31), 128-140. Başar, A. (2022). Yeni bir matematiksel model ve hibrit meta sezgisel ile kaynak kısıtlı projelerin çizelgelenmesi: Bir vaka çalışması. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 37(3), 1169-1184. https://doi.org/10.17341/gazimmfd.913666 Castro-Lacouture, D., Süer, G. A., Gonzalez-Joaqui, J., ve Yates, J. K. (2009). Construction project scheduling with time, cost, and material restrictions using fuzzy mathematical models and critical path method. Journal of Construction Engineering and Management, 135(10), 1096-1104. https://doi.org/10.1061/(ASCE)0733- 9364(2009)135:10(109) Chanas, S. ve Zieliński, P. (2001). Critical path analysis in the network with fuzzy activity times. Fuzzy sets and systems, 122(2), 195-204. https://doi.org/10.1016/S0165-0114(00)00076-2 Chen, S. P., ve Hsueh, Y. J. (2008). A simple approach to fuzzy critical path analysis in project networks. Applied Mathematical Modelling, 32(7), 1289-1297. https://doi.org/10.1016/j.apm.2007.04.009 Chwastyk, A. ve Pisz, I. (2020). Critical path analysis with imprecise activities times. Sustainable Economic Development and Application of Innovation Management, 2004-2013. https://repo.uni.opole.pl/info/article/UO6a9b4e31347445de85d73b03ece7ce3c/ Durucasu, H., İcan, Ö., Karamaşa, Ç., Yeşilaydın, G., ve Gülcan, B. (2015). Bulanık CPM Yöntemiyle Proje Çizelgeleme: İnşaat Sektöründe Bir Uygulama. Ege Akademik Bakış, 15 (4), 449-466. http://www.trdizin.gov.tr/publication/paper/detail/TVRrMU16SXhNUT09 Elkalla, I., Elbeltagi, E., ve El Shikh, M. (2021). Solving fuzzy time–cost trade-off in construction projects using linear programming. Journal of The Institution of Engineers (India): Series A, 102(1), 267-278. https://doi.org/10.1007/s40030-020-00489-7 Habibi, F., Birgani, O., Koppelaar, H. ve Radenović, S. (2018). Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT). Journal of Project Management, 3(4), 183-196. https://doi.org/10.5267/j.jpm.2018.4.002 Han, T. C., Chung, C. C., ve Liang, G. S. (2006). Application of fuzzy critical path method to airports cargo ground operation systems. Journal of Marine Science and Technology, 14(3), 2. https://doi.org/10.51400/2709-6998.2067 Herroelen, W. ve Leus, R. (2005). Project scheduling under uncertainty: Survey and research potentials. European journal of operational research, 165(2), 289-306. https://doi.org/10.1016/j.ejor.2004.04.002 ISO 21502:2020 Project, Programme and Portfolio Management – Guidance On Project Management, Switzerland: ISO, 2020. Jayagowri, P. ve Geetharamani, G. (2015). Using metric distance ranking method to find intuitionistic fuzzy critical path. Journal of Applied Mathematics, 2015. https://doi.org/10.1155/2015/952150 Kenar, E. (2021). Klasik Pert ve Bulanık Pert Yöntemleri ile Proje Yönetimi ve Bir Mermer Fabrikası Kurulumunda Uygulaması (Doktora Tezi). Lai, Y. J. ve Hwang, C. L. (1992). Fuzzy mathematical programming. In Fuzzy mathematical programming (pp. 74-186). Springer, Berlin, Heidelberg. Li, F. ve Wei, J. (2007, September). A fuzzy approach for the project management. In 2007 International Conference on Wireless Communications, Networking and Mobile Computing (pp. 5180-5183). IEEE. Liang, T. F., Huang, T. S., ve Yang, M. F. (2012). Application of fuzzy mathematical programming to imprecise project management decisions. Quality & Quantity, 46(5), 1451-1470. https://doi.org/10.1007/s11135-011-9460- y Madhuri, K. U., Saradhi, B. P. ve Shankar, N. R. (2013). Fuzzy linear programming model for critical path analysis. Int. J. Contemp. Math. Sciences, 8(2), 93-116. https://doi.org/10.12988/ijcms.2013.13010 Mazlum, M., ve Güneri, A. F. (2015). CPM, PERT and project management with fuzzy logic technique and implementation on a business. Procedia-Social and Behavioral Sciences, 210, 348-357. https://doi.org/10.1016/j.sbspro.2015.11.378 Sadjadi, S. J., Pourmoayed, R. ve Aryanezhad, M. B. (2012). A robust critical path in an environment with hybrid uncertainty. Applied Soft Computing, 12(3), 1087-1100. https://doi.org/10.1016/j.asoc.2011.11.015 Saradhi, B. P., Ramesh, H., Shankar, N. R. ve Shaik, R. (2021). Hesitant Fuzzy Project Planning and Scheduling using Critical path Technique. Turkish Journal of Computer and Mathematics Education, 12(6), 5272-5286. https://www.proquest.com/scholarly-journals/hesitant-fuzzy-project-planning-schedulingusing/ docview/2640416443/se-2?accountid=15426 Sethupathy.G., Judson L., ve Paul V.K. (2020). Time – Cost Optimization (TCO) By Application Of Fuzzy Logic In Construction Projects. International Journal of Creative Research Thoughts, 8(6), 479-486. https://doi.org/10.6084/m9.doi.one.IJCRT2006070 Shankar, N. R., Sireesha, V. ve Rao, P. P. B. (2010). An analytical method for finding critical path in a fuzzy project network. International Journal of contemporary mathematical sciences, 5(20), 953-962. https://api.semanticscholar.org/CorpusID:14403952 Sireesha, V., Rao, K. S., Shankar, N. R., ve Babu, S. S. (2012). Critical path analysis in the network with fuzzy interval numbers as activity times. intervals, 16, 21. https://doi.org/10.1016/S0165-0114(00)00076-2 Soysal, S., Dengiz, B., ve Atalay, K. (2021). Belirsizlik altında kaynak kısıtlı çok modlu çoklu proje çizelgeleme. Journal of Turkish Operations Management, 5(1), 598-614. Subulan, K. (2020). Çok amaçlı kurumsal kaynak planlaması uyarlama projelerinin insan kaynağı kısıtı ve belirsizlik altında çizelgelenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 35(3), 1469-1486. https://doi.org/10.17341/gazimmfd.519652 Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353. Zimmermann, H. J. (1983). Fuzzy mathematical programming. Computers & operations research, 10(4), 291-298. https://doi.org/10.1016/0305-0548(83)90004-7
Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama Yıl 2024, Cilt: 8 Sayı: 1, 20 – 38, 18.07.2024
Vildan Çorumlu Kumru Didem Atalay Esra Dinler
https://doi.org/10.56554/jtom.1251297
Öz Projeler, başlangıç ve bitiş tarihi belli olan bir zaman diliminde kaynakların verimli bir şekilde kullanılarak çıktıların elde edildiği çalışmalardır. Proje çıktısının hızlı bir şekilde elde edilebilmesi, pazarda rekabet avantajının sağlanabilmesi amacıyla önemlidir. Bu nedenle, projenin zamanında tamamlanması ön plana çıkmaktadır. Bu aşamada proje çizelgeleme konusu büyük önem taşımaktadır. Proje çizelgelemede kullanılan birçok yöntem vardır ve Kritik Yol Metodu (CPM) ve Program Değerlendirme ve Gözden Geçirme Tekniği (PERT) bunlara örnek olarak verilebilir. Faaliyet sürelerinin belirsiz olması durumunda bu parametrelerin tahmin edilmesindeki sorunlar nedeniyle, bu yöntemler gerçek projeleri doğru ve tam olarak temsil edemeyebilir. Bulanık teori bu sorunların ortadan kaldırılması ve çizelgelemeyi iyileştirmede temel olarak kullanılan bir yoldur. Bulanık teori, parametrelerdeki belirsizlikleri, kesin olmayan veya eksik bilgiden kaynaklanan durumları dikkate alarak proje çizelgeleme modellerini gerçeğe yaklaştırır. Bu çalışmada, projenin faaliyet sürelerinde belirsizlik olması durumunda projenin tamamlanma sürelerinin belirlenmesinde bulanık doğrusal programlamayı temel alan yeni bir yöntem önerilmektedir. Önerilen yöntemin değerlendirilmesi için gerçek bir yazılım projesinde uygulama gerçekleştirilmiştir. Model sonuçları incelendiğinde üyelik dereceleri azaldıkça proje tamamlanma sürelerinin kısaldığı gözlemlenmiştir.
Anahtar Kelimeler Proje çizelgeleme, Bulanık Kritik yol metodu, Üyelik fonksiyonu, Bulanık doğrusal programlama, PERT, Project scheduling, Project scheduling
Kaynakça Ammar, M. A., ve Abd-ElKhalek, S. I. (2022). Criticality measurement in fuzzy project scheduling. International Journal of Construction Management, 22(2), 252-261. https://doi.org/10.1080/15623599.2019.1619226 Atlı Ö. ve Kahraman C. (2013). Bulanık Kritik Yol Analizi. Journal of Engineering and Natural Sciences Mühendislik ve Fen Bilimleri Dergisi, Sigma (31), 128-140. Başar, A. (2022). Yeni bir matematiksel model ve hibrit meta sezgisel ile kaynak kısıtlı projelerin çizelgelenmesi: Bir vaka çalışması. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 37(3), 1169-1184. https://doi.org/10.17341/gazimmfd.913666 Castro-Lacouture, D., Süer, G. A., Gonzalez-Joaqui, J., ve Yates, J. K. (2009). Construction project scheduling with time, cost, and material restrictions using fuzzy mathematical models and critical path method. Journal of Construction Engineering and Management, 135(10), 1096-1104. https://doi.org/10.1061/(ASCE)0733- 9364(2009)135:10(109) Chanas, S. ve Zieliński, P. (2001). Critical path analysis in the network with fuzzy activity times. Fuzzy sets and systems, 122(2), 195-204. https://doi.org/10.1016/S0165-0114(00)00076-2 Chen, S. P., ve Hsueh, Y. J. (2008). A simple approach to fuzzy critical path analysis in project networks. Applied Mathematical Modelling, 32(7), 1289-1297. https://doi.org/10.1016/j.apm.2007.04.009 Chwastyk, A. ve Pisz, I. (2020). Critical path analysis with imprecise activities times. Sustainable Economic Development and Application of Innovation Management, 2004-2013. https://repo.uni.opole.pl/info/article/UO6a9b4e31347445de85d73b03ece7ce3c/ Durucasu, H., İcan, Ö., Karamaşa, Ç., Yeşilaydın, G., ve Gülcan, B. (2015). Bulanık CPM Yöntemiyle Proje Çizelgeleme: İnşaat Sektöründe Bir Uygulama. Ege Akademik Bakış, 15 (4), 449-466. http://www.trdizin.gov.tr/publication/paper/detail/TVRrMU16SXhNUT09 Elkalla, I., Elbeltagi, E., ve El Shikh, M. (2021). Solving fuzzy time–cost trade-off in construction projects using linear programming. Journal of The Institution of Engineers (India): Series A, 102(1), 267-278. https://doi.org/10.1007/s40030-020-00489-7 Habibi, F., Birgani, O., Koppelaar, H. ve Radenović, S. (2018). Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT). Journal of Project Management, 3(4), 183-196. https://doi.org/10.5267/j.jpm.2018.4.002 Han, T. C., Chung, C. C., ve Liang, G. S. (2006). Application of fuzzy critical path method to airports cargo ground operation systems. Journal of Marine Science and Technology, 14(3), 2. https://doi.org/10.51400/2709-6998.2067 Herroelen, W. ve Leus, R. (2005). Project scheduling under uncertainty: Survey and research potentials. European journal of operational research, 165(2), 289-306. https://doi.org/10.1016/j.ejor.2004.04.002 ISO 21502:2020 Project, Programme and Portfolio Management – Guidance On Project Management, Switzerland: ISO, 2020. Jayagowri, P. ve Geetharamani, G. (2015). Using metric distance ranking method to find intuitionistic fuzzy critical path. Journal of Applied Mathematics, 2015. https://doi.org/10.1155/2015/952150 Kenar, E. (2021). Klasik Pert ve Bulanık Pert Yöntemleri ile Proje Yönetimi ve Bir Mermer Fabrikası Kurulumunda Uygulaması (Doktora Tezi). Lai, Y. J. ve Hwang, C. L. (1992). Fuzzy mathematical programming. In Fuzzy mathematical programming (pp. 74-186). Springer, Berlin, Heidelberg. Li, F. ve Wei, J. (2007, September). A fuzzy approach for the project management. In 2007 International Conference on Wireless Communications, Networking and Mobile Computing (pp. 5180-5183). IEEE. Liang, T. F., Huang, T. S., ve Yang, M. F. (2012). Application of fuzzy mathematical programming to imprecise project management decisions. Quality & Quantity, 46(5), 1451-1470. https://doi.org/10.1007/s11135-011-9460- y Madhuri, K. U., Saradhi, B. P. ve Shankar, N. R. (2013). Fuzzy linear programming model for critical path analysis. Int. J. Contemp. Math. Sciences, 8(2), 93-116. https://doi.org/10.12988/ijcms.2013.13010 Mazlum, M., ve Güneri, A. F. (2015). CPM, PERT and project management with fuzzy logic technique and implementation on a business. Procedia-Social and Behavioral Sciences, 210, 348-357. https://doi.org/10.1016/j.sbspro.2015.11.378 Sadjadi, S. J., Pourmoayed, R. ve Aryanezhad, M. B. (2012). A robust critical path in an environment with hybrid uncertainty. Applied Soft Computing, 12(3), 1087-1100. https://doi.org/10.1016/j.asoc.2011.11.015 Saradhi, B. P., Ramesh, H., Shankar, N. R. ve Shaik, R. (2021). Hesitant Fuzzy Project Planning and Scheduling using Critical path Technique. Turkish Journal of Computer and Mathematics Education, 12(6), 5272-5286. https://www.proquest.com/scholarly-journals/hesitant-fuzzy-project-planning-schedulingusing/ docview/2640416443/se-2?accountid=15426 Sethupathy.G., Judson L., ve Paul V.K. (2020). Time – Cost Optimization (TCO) By Application Of Fuzzy Logic In Construction Projects. International Journal of Creative Research Thoughts, 8(6), 479-486. https://doi.org/10.6084/m9.doi.one.IJCRT2006070 Shankar, N. R., Sireesha, V. ve Rao, P. P. B. (2010). An analytical method for finding critical path in a fuzzy project network. International Journal of contemporary mathematical sciences, 5(20), 953-962. https://api.semanticscholar.org/CorpusID:14403952 Sireesha, V., Rao, K. S., Shankar, N. R., ve Babu, S. S. (2012). Critical path analysis in the network with fuzzy interval numbers as activity times. intervals, 16, 21. https://doi.org/10.1016/S0165-0114(00)00076-2 Soysal, S., Dengiz, B., ve Atalay, K. (2021). Belirsizlik altında kaynak kısıtlı çok modlu çoklu proje çizelgeleme. Journal of Turkish Operations Management, 5(1), 598-614. Subulan, K. (2020). Çok amaçlı kurumsal kaynak planlaması uyarlama projelerinin insan kaynağı kısıtı ve belirsizlik altında çizelgelenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 35(3), 1469-1486. https://doi.org/10.17341/gazimmfd.519652 Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353. Zimmermann, H. J. (1983). Fuzzy mathematical programming. Computers & operations research, 10(4), 291-298. https://doi.org/10.1016/0305-0548(83)90004-7 Toplam 27 adet kaynakça vardır.
Ayrıntılar Birincil Dil Türkçe Konular Endüstri Mühendisliği Bölüm Araştırma Makalesi Yazarlar Vildan Çorumlu BAŞKENT ÜNİVERSİTESİ 0000-0002-6700-0748 Türkiye
Kumru Didem Atalay BAŞKENT ÜNİVERSİTESİ 0000-0002-9021-3565 Türkiye
Esra Dinler BAŞKENT ÜNİVERSİTESİ 0000-0001-8868-8484 Türkiye
Erken Görünüm Tarihi 18 Temmuz 2024 Yayımlanma Tarihi 18 Temmuz 2024 Gönderilme Tarihi 14 Şubat 2023 Kabul Tarihi 14 Kasım 2023 Yayımlandığı Sayı Yıl 2024 Cilt: 8 Sayı: 1
Kaynak Göster APA Çorumlu, V., Atalay, K. D., & Dinler, E. (2024). Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama. Journal of Turkish Operations Management, 8(1), 20-38. https://doi.org/10.56554/jtom.1251297 AMA Çorumlu V, Atalay KD, Dinler E. Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama. JTOM. Temmuz 2024;8(1):20-38. doi:10.56554/jtom.1251297 Chicago Çorumlu, Vildan, Kumru Didem Atalay, ve Esra Dinler. “Proje çizelgelemede bulanık doğrusal Programlama Ile Yeni Bir yöntem önerisi: Yazılım Projesinde Uygulama”. Journal of Turkish Operations Management 8, sy. 1 (Temmuz 2024): 20-38. https://doi.org/10.56554/jtom.1251297. EndNote Çorumlu V, Atalay KD, Dinler E (01 Temmuz 2024) Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama. Journal of Turkish Operations Management 8 1 20–38. IEEE V. Çorumlu, K. D. Atalay, ve E. Dinler, “Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama”, JTOM , c. 8, sy. 1, ss. 20–38, 2024, doi: 10.56554/jtom.1251297. ISNAD Çorumlu, Vildan vd. “Proje çizelgelemede bulanık doğrusal Programlama Ile Yeni Bir yöntem önerisi: Yazılım Projesinde Uygulama”. Journal of Turkish Operations Management 8/1 (Temmuz 2024), 20-38. https://doi.org/10.56554/jtom.1251297. JAMA Çorumlu V, Atalay KD, Dinler E. Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama. JTOM . 2024;8:20–38. MLA Çorumlu, Vildan vd. “Proje çizelgelemede bulanık doğrusal Programlama Ile Yeni Bir yöntem önerisi: Yazılım Projesinde Uygulama”. Journal of Turkish Operations Management, c. 8, sy. 1, 2024, ss. 20-38, doi:10.56554/jtom.1251297. Vancouver Çorumlu V, Atalay KD, Dinler E. Proje çizelgelemede bulanık doğrusal programlama ile yeni bir yöntem önerisi: Yazılım projesinde uygulama. JTOM. 2024;8(1):20-38.
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