PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2024 | 34 | nr 2 | 1--16
Tytuł artykułu

Multi-Objective Faculty Course Assignment Problem Based on the Double Parametric Form of Fuzzy Preferences

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents a mathematical model of the multi-objective faculty course assignment problem based on the double parametric form of fuzzy preferences. The fuzzy preferences are based on an analysis of faculty feedback given by students and an analysis of the results of the previous year's examination of students. The proposed model is developed utilizing faculty members' preferences, the preferences of an administrator for faculty members to courses, and fuzzy preferences based on faculty feedback and student result analysis. The double parametric approach solves a timetabling problem based on information from a university's hypothetical numerical data. The fuzzy programming technique with linear membership function is applied to generate efficient and non-dominated allocations with better optimal values and degree of satisfaction of objective functions for different values of parameters α and β for fuzzy preferences. Results are found using LINGO19.0 software. (original abstract)
Rocznik
Tom
34
Numer
Strony
1--16
Opis fizyczny
Twórcy
  • Bharati Vidyapeeth College of Engineering, Pune, India
  • Sardar Vallabhbhai National Institute of Technology, Surat, India
Bibliografia
  • [1] Al-Yakoob, S. M., and Sherali, H. D. Mathematical programming models and algorithms for a class-faculty assignment problem. European Journal of Operational Research 173, 2 (2006), 488-507.
  • [2] Al-Yakoob, S. M., and Sherali, H. D. A column generation mathematical programming approach for a class-faculty assignment problem with preferences. Computational Management Science 12, 2 (2015), 297-318.
  • [3] Algethami, H., and Laesanklang, W. A mathematical model for course timetabling problem with faculty-course assignment constraints. IEEE Access 9 (2021), 111666-111682.
  • [4] Arratia-Martinez, N. M., Maya-Padron, C., and Avila-Torres, P. A. University course timetabling problem with professor assignment. Mathematical Problems in Engineering 2021 (2021), 6617177.
  • [5] Asratian, A. S., and de Werra, D. A generalized class-teacher model for some timetabling problems. European Journal of Operational Research 143, 3 (2002),531-542.
  • [6] Badri, M. A. A two-stage multiobjective scheduling model for [faculty-course-time] assignments. European Journal of Operational Research 94, 1 (1996), 16-28.
  • [7] Badri, M. A., Davis, D. L., Davis, D. F., and Hollingsworth, J. A multi-objective course scheduling model: Combining faculty preferences for courses and times. Computers & Operations Research 25, 4 (1998), 303-316.
  • [8] Bakır, M. A., and Aksop, C. A 0-1 integer programming approach to a university timetabling problem. Hacettepe Journal of Mathematics and Statistics 37, 1 (2008), 41-55.
  • [9] Burke, E. K., and Petrovic, S. Recent research directions in automated timetabling. European Journal of Operational Research 140, 2 (2002), 266-280.
  • [10] Cruz-Rosales, M. H., Cruz-Chávez, M. A., Alonso-Pecina, F., Peralta-Abarca, J. d. C., Ávila-Melgar, E. Y., Martínez-Bahena, B., and Enríquez-Urbano, J. Metaheuristic with cooperative processes for the university course timetabling problem. Applied Sciences 12, 2 (2022), 542.
  • [11] Daskalaki, S., and Birbas, T. Efficient solutions for a university timetabling problem through integer programming. European Journal of Operational Research 160, 1 (2005), 106-120.
  • [12] De Werra, D. An introduction to timetabling. European Journal of Operational Research 19, 2 (1985), 151-162.
  • [13] Esmaeilbeigi, R., Mak-Hau, V., Yearwood, J., and Nguyen, V. The multiphase course timetabling problem. European Journal of Operational Research 300, 3 (2022), 1098-1119.
  • [14] Goh, S. L., Kendall, G., Sabar, N. R., and Abdullah, S. An effective hybrid local search approach for the post enrolment course timetabling problem. Opsearch 57 (2020), 1131-1163.
  • [15] Jameel, A. F., Altaie, S. A. J., Aljabbari, S. G. A., AlZubaidi, A., and Man, N. H. Double parametric fuzzy numbers approximate scheme for solving one-dimensional fuzzy heat-like and wave-like equations. Mathematics 8, 10 (2020), 1737.
  • [16] Jameel, A. F., Amen, S. G., Saaban, A., Man, N. H., and Alipiah, F. M. Homotopy perturbation method for solving linear fuzzy delay differential equations using double parametric approach. Mathematics and Statistics 8, 5 (2020), 551-558.
  • [17] Ngo, S. T., Jaafar, J., Aziz, I. A., and Anh, B. N. A compromise programming for multi-objective task assignment problem. Computers 10, 2 (2021), 15.
  • [18] Ozdemir, M. S., and Gasimov, R. N. The analytic hierarchy process and multiobjective 0-1 faculty course assignment. European Journal of Operational Research 157, 2 (2004), 398-408.
  • [19] Rappos, E., Thiémard, E., Robert, S., and Hêche, J.-F. A mixed-integer programming approach for solving university course timetabling problems. Journal of Scheduling 25, 4 (2022), 391-404.
  • [20] Schniederjans, M. J., and Kim, G. C. A goal programming model to optimize departmental preference in course assignments. Computers & Operations Research 14, 2 (1987), 87-96.
  • [21] Tapaswini, S., and Chakraverty, S. Numerical solution of uncertain beam equations using double parametric form of fuzzy numbers. Applied Computational Intelligence and Soft Computing 2013 (2013), 764871.
  • [22] Tassopoulos, I. X., Iliopoulou, C. A., and Beligiannis, G. N. Solving the Greek school timetabling problem by a mixed integer programming model. Journal of the Operational Research Society 71, 1 (2020), 117-132.
  • [23] Tripathy, A. School timetabling-a case in large binary integer linear programming. Management Science 30, 12 (1984), 1473- 1489.
  • [24] Verma, L., and Meher, R. Solution for generalized fuzzy time-fractional fisher's equation using a robust fuzzy analytical approach. Journal of Ocean Engineering and Science (2022) (in press, corrected proof).
  • [25] Zadeh, L. A. Fuzzy sets. Information and control 8, 3 (1965), 338-353.
  • [26] Zadeh, L. A. Fuzzy sets as a basis for a theory of possibility. Fuzzy sets and systems 1, 1 (1978), 3-28.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171694141

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.