Abstract
In an organization, the workload of the employees is very important in terms of efficiency and motivation toward work. Workloads must be at the same level as employees can achieve.
In the study, a large faculty of one of Turkey’s leading universities was selected as a pilot. There are 25 different business units and 92 employees in the faculty. AHP and LP are preferred as models. With AHP, utility values of employees in each job type are calculated separately for 25 job types. The obtained utility values are assigned as the objective function coefficients of the decision variables of the LP model. Three different LP models were obtained and solved to obtain optimal workload values. According to the results of three different models, the manager will be able to complete the missing workloads of the employees from different units.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aksaraylı, M., Pala, O., Aksoy, M. A., & Turaba, L. (2016). A fuzzy mixed integer goal programming approach for academic performance modeling. Akademik Sosyal Araştırmalar Dergisi, 4(34), 14–32.
Aldowaisan, T. A., & Gaafar, L. K. (1999). Business process reengineering: An approach for process mapping. Omega, 27(5), 515–524.
Azmat, C. S., Hürlimann, T., & Widmer, M. (2004). Mixed integer programming to schedule a single-shift workforce under annualized hours. Annals of Operations Research, 128(1), 199–215.
Burgess, T. F. (1996). Planning the Academic’s workload: Different approaches to allocating work to university academics. Higher Education, 32(1), 63–75.
Chandran, B., Golden, B., & Wasil, E. (2005). Linear programming models for estimating weights in the analytic hierarchy process. Computers & Operations Research, 32, 2235–2254.
Chen, C. F. (2006). Applying the analytical hierarchy process (AHP) approach to convention site selection. Journal of Travel Research, 45(2), 167–174.
Diodato, V. (1983). Faculty workload: A case study. Journal of Education for Librarianship, 23(4), 286–295.
Ghodsypour, S. H., & O’Brien, C. (1998). A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming. International Journal of Production Economics, 56–57, 199–212.
Gökşen, Y., Aşan, H., Doğan, O., Ünlü, M., & Pala, O. (2016). The proposal model of rational workforce assignment in Dokuz Eylul University by analytic hierarchy process based 0-1 integer programming. Scientific Bulletin – Economic Sciences, 15(2), 54–66.
Ho, W. (2008). Integrated analytic hierarchy process and its applications: A literature review. European Journal of Operational Research, 186, 211–228.
Jaumard, B., Semet, F., & Vovor, T. (1998). A generalized linear programming model for nurse scheduling. European Journal of Operational Research, 107(1), 1–18.
Öztürk, A. (2002). Yöneylem Araştırması, 8. Baskı, Ekin Kitabevi Yayınları, The Bur, p. 167.
Pala, O. (2016). Bulanik Analitik Hiyerarşi Prosesi ve Meslek Seçiminde Uygulanmasi. Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 18(3), 427–445.
Porter, S. R., & Umbach, P. D. (2001). Analyzing faculty workload data using multilevel modeling. Research in Higher Education, 42(2), 171–196.
Reid, G. R. (1988). The subjective workload assessment technique: A scaling procedure for measuring mental workload. Advances in Psychology, 52, 185–218.
Rhoades, G. (2001). AIR research and practice: Managing productivity in an academic institution: Rethinking the whom, which, what, and whose of productivity. Research in Higher Education, 42(5), 619–632.
Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234–281.
Saaty, T. L., Vargas, L. G., & Dellmann, K. (2003). The allocation of intangible resources: The analytic hierarchy process and linear programming. Socio-Economic Planning Sciences, 37, 169–184.
Saaty, T. L., Peniwati, K., & Shang, J. S. (2007). The analytic hierarchy process and human resource allocation: half the story. Mathematical and Computer Modelling, 46, 1041–1053.
Seaberg, J. R. (1998). Faculty reports of workload: Results of a national survey. Journal of Social Work Education, 34(1), 7–19.
Vaidya, O. S., & Kumar, S. (2006). Analytic hierarchy process: An overview of applications. European Journal of Operational Research, 169, 1–29.
Winston, W. L. (1994). Operations research: Applications and algorithms. Belmont, CA: Duxbury Press.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Appendices
Appendix 1: Comparison Matrix of Alternatives for X1, C1
x1 | x2 | x3 | x4 | x5 | x6 | x7 | x8 | x9 | x10 | x11 | x12 | x13 | x14 | x15 | x16 | x17 | x18 | x19 | x20 | x21 | x22 | x23 | x24 | x25 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
x2 | 1.0 | 1.5 | 2.5 | 1.5 | 2.0 | 2.5 | 2.0 | 3.0 | 2.0 | 1.0 | 3.0 | 1.5 | 2.5 | 1.5 | 2.0 | 2.0 | 1.5 | 1.0 | 2.5 | 1.0 | 1.0 | 2.0 | 3.0 | 2.0 |
x3 | 0.7 | 1.0 | 2.5 | 2.5 | 2.5 | 3.0 | 1.5 | 1.5 | 2.5 | 2.0 | 2.0 | 2.5 | 2.5 | 2.0 | 2.5 | 1.5 | 1.5 | 1.5 | 2.5 | 1.5 | 2.0 | 1.0 | 1.0 | 2.0 |
x4 | 0.4 | 0.4 | 1.0 | 1.5 | 1.0 | 2.0 | 3.0 | 3.0 | 2.5 | 1.5 | 1.0 | 1.5 | 1.0 | 2.5 | 2.5 | 2.0 | 2.5 | 1.0 | 3.0 | 1.0 | 1.5 | 1.5 | 3.0 | 2.0 |
x5 | 0.7 | 0.4 | 0.7 | 1.0 | 2.5 | 2.5 | 2.0 | 1.0 | 1.5 | 2.5 | 1.0 | 2.0 | 3.0 | 2.0 | 1.5 | 2.5 | 2.5 | 3.0 | 2.5 | 2.0 | 1.0 | 2.5 | 2.0 | 2.0 |
x6 | 0.5 | 0.4 | 1.0 | 0.4 | 1.0 | 2.0 | 1.5 | 2.5 | 2.0 | 2.0 | 1.0 | 1.5 | 2.5 | 1.0 | 1.0 | 2.5 | 1.0 | 1.0 | 3.0 | 1.5 | 2.0 | 2.0 | 2.5 | 2.5 |
x7 | 0.4 | 0.3 | 0.5 | 0.4 | 0.5 | 1.0 | 1.5 | 1.0 | 2.0 | 2.5 | 1.5 | 2.5 | 2.0 | 2.5 | 2.0 | 2.0 | 2.0 | 1.0 | 2.0 | 1.5 | 1.5 | 1.5 | 2.0 | 1.5 |
x8 | 0.5 | 0.7 | 0.3 | 0.5 | 0.7 | 0.7 | 1.0 | 2.0 | 1.5 | 2.5 | 2.0 | 1.5 | 2.0 | 1.5 | 2.0 | 2.5 | 1.5 | 1.5 | 1.0 | 2.5 | 2.0 | 2.0 | 1.5 | 2.5 |
x9 | 0.3 | 0.7 | 0.3 | 1.0 | 0.4 | 1.0 | 0.5 | 1.0 | 2.0 | 2.5 | 2.0 | 1.5 | 3.0 | 1.0 | 2.5 | 2.0 | 2.5 | 1.5 | 2.0 | 1.0 | 2.0 | 1.5 | 3.0 | 1.5 |
x10 | 0.5 | 0.4 | 0.4 | 0.7 | 0.5 | 0.5 | 0.7 | 0.5 | 1.0 | 2.0 | 2.5 | 1.5 | 1.0 | 2.0 | 2.0 | 2.0 | 2.0 | 1.5 | 2.0 | 2.0 | 2.5 | 1.5 | 2.0 | 1.5 |
x11 | 1.0 | 0.5 | 0.7 | 0.4 | 0.5 | 0.4 | 0.4 | 0.4 | 0.5 | 1.0 | 2.5 | 1.5 | 2.0 | 3.0 | 3.0 | 2.0 | 2.5 | 1.5 | 2.0 | 2.0 | 2.5 | 2.5 | 3.0 | 1.5 |
x12 | 0.3 | 0.5 | 1.0 | 1.0 | 1.0 | 0.7 | 0.5 | 0.5 | 0.4 | 0.4 | 1.0 | 1.0 | 2.5 | 2.5 | 1.5 | 2.5 | 1.5 | 2.0 | 2.0 | 2.0 | 1.0 | 2.5 | 2.0 | 2.0 |
x13 | 0.7 | 0.4 | 0.7 | 0.5 | 0.7 | 0.4 | 0.7 | 0.7 | 0.7 | 0.7 | 1.0 | 1.0 | 2.5 | 2.0 | 2.5 | 2.0 | 1.5 | 3.0 | 2.0 | 3.0 | 2.5 | 2.5 | 3.0 | 2.0 |
x14 | 0.4 | 0.4 | 1.0 | 0.3 | 0.4 | 0.5 | 0.5 | 0.3 | 1.0 | 0.5 | 0.4 | 0.4 | 1.0 | 2.5 | 1.5 | 1.5 | 1.0 | 2.5 | 2.0 | 2.5 | 2.0 | 2.0 | 1.0 | 2.0 |
x15 | 0.7 | 0.5 | 0.4 | 0.5 | 1.0 | 0.4 | 0.7 | 1.0 | 0.5 | 0.3 | 0.4 | 0.5 | 0.4 | 1.0 | 2.0 | 2.0 | 2.5 | 1.5 | 2.5 | 2.0 | 1.5 | 2.5 | 2.0 | 2.0 |
x16 | 0.5 | 0.4 | 0.4 | 0.7 | 1.0 | 0.5 | 0.5 | 0.4 | 0.5 | 0.3 | 0.7 | 0.4 | 0.7 | 0.5 | 1.0 | 2.0 | 2.0 | 2.0 | 3.0 | 3.0 | 2.0 | 1.5 | 3.0 | 1.5 |
x17 | 0.5 | 0.7 | 0.5 | 0.4 | 0.4 | 0.5 | 0.4 | 0.5 | 0.5 | 0.5 | 0.4 | 0.5 | 0.7 | 0.5 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 1.5 | 2.5 | 2.0 | 1.5 | 2.0 |
x18 | 0.7 | 0.7 | 0.4 | 0.4 | 1.0 | 0.5 | 0.7 | 0.4 | 0.5 | 0.4 | 0.7 | 0.7 | 1.0 | 0.4 | 0.5 | 0.7 | 1.0 | 2.0 | 1.5 | 1.5 | 2.0 | 2.0 | 1.0 | 2.5 |
x19 | 1.0 | 0.7 | 1.0 | 0.3 | 1.0 | 1.0 | 0.7 | 0.7 | 0.7 | 0.7 | 0.5 | 0.3 | 0.4 | 0.7 | 0.5 | 0.5 | 0.5 | 1.0 | 2.5 | 2.0 | 2.0 | 2.0 | 2.0 | 1.5 |
x20 | 0.4 | 0.4 | 0.3 | 0.4 | 0.3 | 0.5 | 1.0 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.4 | 0.3 | 0.4 | 0.7 | 0.4 | 1.0 | 2.0 | 3.0 | 2.0 | 2.0 | 2.5 |
x21 | 1.0 | 0.7 | 1.0 | 0.5 | 0.7 | 0.7 | 0.4 | 1.0 | 0.5 | 0.5 | 0.5 | 0.3 | 0.4 | 0.5 | 0.3 | 0.7 | 0.7 | 0.5 | 0.5 | 1.0 | 3.0 | 2.0 | 2.0 | 2.0 |
x22 | 1.0 | 0.5 | 0.7 | 1.0 | 0.5 | 0.7 | 0.5 | 0.5 | 0.4 | 0.4 | 1.0 | 0.4 | 0.5 | 0.7 | 0.5 | 0.4 | 0.5 | 0.5 | 0.3 | 0.3 | 1.0 | 1.0 | 2.0 | 2.0 |
x23 | 0.5 | 1.0 | 0.7 | 0.4 | 0.5 | 0.7 | 0.5 | 0.7 | 0.7 | 0.4 | 0.4 | 0.4 | 0.5 | 0.4 | 0.7 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 1.0 | 1.0 | 2.5 | 2.0 |
x24 | 0.3 | 1.0 | 0.3 | 0.5 | 0.4 | 0.5 | 0.7 | 0.3 | 0.5 | 0.3 | 0.5 | 0.3 | 1.0 | 0.5 | 0.3 | 0.7 | 1.0 | 0.5 | 0.5 | 0.5 | 0.5 | 0.4 | 1.0 | 3.0 |
x25 | 0.5 | 0.5 | 0.5 | 0.5 | 0.4 | 0.7 | 0.4 | 0.7 | 0.7 | 0.7 | 0.5 | 0.5 | 0.5 | 0.5 | 0.7 | 0.5 | 0.4 | 0.7 | 0.4 | 0.5 | 0.5 | 0.5 | 0.3 | 1.0 |
Appendix 2: Utility Matrix for Job Types
x1 | x2 | x3 | x4 | x5 | x6 | x7 | x8 | x9 | x10 | x11 | x12 | x13 | x14 | x15 | x16 | x17 | x18 | x19 | x20 | x21 | x22 | x23 | x24 | x25 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
x1 | 1.00 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 |
x2 | 0.07 | 1.00 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 |
x3 | 0.07 | 0.06 | 1.00 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 |
x4 | 0.07 | 0.07 | 0.06 | 1.00 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 |
x5 | 0.07 | 0.07 | 0.06 | 0.06 | 1.00 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 |
x6 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 1.00 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 |
x7 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 1.00 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 |
x8 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 1.00 | 0.06 | 0.07 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 |
x9 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.08 | 0.06 | 1.00 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x10 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.02 | 0.08 | 0.07 | 0.07 | 1.00 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
x11 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.07 | 0.06 | 0.06 | 1.00 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x12 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.07 | 0.06 | 0.07 | 0.06 | 0.06 | 1.00 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x13 | 0.03 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.07 | 0.06 | 0.07 | 0.06 | 0.06 | 0.06 | 1.00 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x14 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.08 | 0.07 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 1.00 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x15 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.08 | 0.07 | 0.07 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 1.00 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x16 | 0.03 | 0.02 | 0.02 | 0.03 | 0.02 | 0.02 | 0.07 | 0.07 | 0.06 | 0.07 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 1.00 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x17 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 1.00 | 0.04 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
x18 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.05 | 0.06 | 0.05 | 0.05 | 0.04 | 0.04 | 1.00 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
x19 | 0.03 | 0.03 | 0.02 | 0.03 | 0.02 | 0.02 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 1.00 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
x20 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 1.00 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
x21 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.06 | 0.07 | 0.07 | 0.06 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 1.00 | 0.04 | 0.03 | 0.03 | 0.03 |
x22 | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 | 0.07 | 0.07 | 0.07 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.03 | 1.00 | 0.03 | 0.03 | 0.03 |
x23 | 0.02 | 0.02 | 0.02 | 0.02 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.04 | 0.04 | 0.04 | 0.04 | 0.05 | 0.05 | 0.05 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 1.00 | 0.07 | 0.07 |
x24 | 0.02 | 0.02 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.04 | 0.04 | 0.04 | 0.04 | 0.05 | 0.05 | 0.05 | 0.05 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 1.00 | 0.07 |
x25 | 0.02 | 0.02 | 0.02 | 0.02 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.05 | 0.05 | 0.05 | 0.06 | 0.06 | 0.06 | 0.07 | 0.07 | 0.07 | 1.00 |
Appendix 3: Matlab Code for Model 3
Appendix 4: Results of Model 1 and Model 2
Job type i | Staff j | Workload | Job type i | Staff j | Workload | Job type i | Staff j | Workload | Job type i | Staff j | Workload |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 0.778 | 21 | 19 | 0.0198 | 22 | 40 | 1 | 22 | 74 | 0.0476 |
23 | 1 | 0.222 | 23 | 19 | 0.53 | 22 | 41 | 1 | 25 | 74 | 0.9524 |
2 | 2 | 0.685 | 12 | 20 | 0.698 | 22 | 42 | 1 | 22 | 75 | 0.0476 |
22 | 2 | 0.315 | 23 | 20 | 0.302 | 22 | 43 | 1 | 25 | 75 | 0.9524 |
3 | 3 | 0.553 | 13 | 21 | 0.2285 | 22 | 44 | 1 | 22 | 76 | 0.0476 |
22 | 3 | 0.447 | 16 | 21 | 0.1185 | 22 | 45 | 1 | 25 | 76 | 0.9524 |
4 | 4 | 0.841 | 23 | 21 | 0.653 | 22 | 46 | 1 | 22 | 77 | 0.0476 |
23 | 4 | 0.159 | 13 | 22 | 0.2285 | 22 | 47 | 1 | 25 | 77 | 0.9524 |
5 | 5 | 0.538 | 16 | 22 | 0.1185 | 22 | 48 | 1 | 22 | 78 | 0.0476 |
23 | 5 | 0.462 | 23 | 22 | 0.653 | 22 | 49 | 1 | 25 | 78 | 0.9524 |
6 | 6 | 0.3545 | 14 | 23 | 0.655 | 22 | 50 | 1 | 22 | 79 | 0.0476 |
22 | 6 | 0.6455 | 23 | 23 | 0.345 | 23 | 51 | 1 | 25 | 79 | 0.9524 |
6 | 7 | 0.3545 | 14 | 24 | 0.655 | 23 | 52 | 1 | 22 | 80 | 0.0476 |
22 | 7 | 0.6455 | 23 | 24 | 0.345 | 23 | 53 | 1 | 25 | 80 | 0.9524 |
7 | 8 | 0.881 | 14 | 25 | 0.655 | 23 | 54 | 1 | 22 | 81 | 0.0476 |
23 | 8 | 0.119 | 23 | 25 | 0.345 | 23 | 55 | 1 | 25 | 81 | 0.9524 |
8 | 9 | 0.7885 | 14 | 26 | 0.655 | 23 | 56 | 1 | 22 | 82 | 0.0476 |
10 | 9 | 0.0595 | 23 | 26 | 0.345 | 23 | 57 | 1 | 25 | 82 | 0.9524 |
22 | 9 | 0.152 | 15 | 27 | 0.139 | 23 | 58 | 1 | 22 | 83 | 0.0476 |
8 | 10 | 0.7885 | 23 | 27 | 0.861 | 23 | 59 | 1 | 25 | 83 | 0.9524 |
10 | 10 | 0.0595 | 15 | 28 | 0.139 | 23 | 60 | 1 | 22 | 84 | 0.0476 |
22 | 10 | 0.152 | 23 | 28 | 0.861 | 23 | 61 | 1 | 25 | 84 | 0.9524 |
8 | 11 | 0.7885 | 15 | 29 | 0.139 | 23 | 62 | 1 | 22 | 85 | 0.0476 |
10 | 11 | 0.0595 | 23 | 29 | 0.861 | 23 | 63 | 1 | 25 | 85 | 0.9524 |
22 | 11 | 0.152 | 15 | 30 | 0.139 | 23 | 64 | 1 | 22 | 86 | 0.0476 |
8 | 12 | 0.7885 | 23 | 30 | 0.861 | 23 | 65 | 1 | 25 | 86 | 0.9524 |
10 | 12 | 0.0595 | 16 | 31 | 1 | 23 | 66 | 1 | 22 | 87 | 0.0476 |
22 | 12 | 0.152 | 17 | 32 | 0.415 | 23 | 67 | 0.092 | 25 | 87 | 0.9524 |
9 | 13 | 1 | 23 | 32 | 0.585 | 24 | 67 | 0.908 | 22 | 88 | 0.0476 |
9 | 14 | 1 | 18 | 33 | 0.375 | 23 | 68 | 0.092 | 25 | 88 | 0.9524 |
10 | 15 | 1 | 23 | 33 | 0.625 | 24 | 68 | 0.908 | 22 | 89 | 0.0476 |
11 | 16 | 0.4502 | 9 | 34 | 0.357 | 22 | 69 | 0.0476 | 25 | 89 | 0.9524 |
21 | 16 | 0.0198 | 19 | 34 | 0.357 | 25 | 69 | 0.9524 | 22 | 90 | 0.0476 |
23 | 16 | 0.53 | 23 | 34 | 0.286 | 22 | 70 | 0.0476 | 25 | 90 | 0.9524 |
11 | 17 | 0.4502 | 20 | 35 | 0.714 | 25 | 70 | 0.9524 | 22 | 91 | 0.0476 |
21 | 17 | 0.0198 | 21 | 35 | 0.247 | 22 | 71 | 0.0476 | 25 | 91 | 0.9524 |
23 | 17 | 0.53 | 22 | 35 | 0.039 | 25 | 71 | 0.9524 | 22 | 92 | 0.0476 |
11 | 18 | 0.4502 | 21 | 36 | 1 | 22 | 72 | 0.0476 | 25 | 92 | 0.9524 |
21 | 18 | 0.0198 | 22 | 37 | 1 | 25 | 72 | 0.9524 | 23 | 93 | 4.331 |
23 | 18 | 0.53 | 22 | 38 | 1 | 22 | 73 | 0.0476 | |||
11 | 19 | 0.4502 | 22 | 39 | 1 | 25 | 73 | 0.9524 |
Appendix 5: Results of Model 3
Job type i | Staff j | Workload | Job type i | Staff j | Workload | Job type i | Staff j | Workload | Job type i | Staff j | Workload |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 0.778 | 12 | 20 | 0.698 | 22 | 41 | 1 | 22 | 74 | 0.0476 |
21 | 1 | 0.196 | 23 | 20 | 0.302 | 22 | 42 | 1 | 25 | 74 | 0.9524 |
22 | 1 | 0.026 | 13 | 21 | 0.2285 | 22 | 43 | 1 | 22 | 75 | 0.0476 |
2 | 2 | 0.685 | 16 | 21 | 0.1185 | 22 | 44 | 1 | 25 | 75 | 0.9524 |
22 | 2 | 0.315 | 23 | 21 | 0.653 | 22 | 45 | 1 | 22 | 76 | 0.0476 |
3 | 3 | 0.553 | 13 | 22 | 0.2285 | 22 | 46 | 1 | 25 | 76 | 0.9524 |
22 | 3 | 0.447 | 16 | 22 | 0.1185 | 22 | 47 | 1 | 22 | 77 | 0.0476 |
4 | 4 | 0.841 | 23 | 22 | 0.653 | 22 | 48 | 1 | 25 | 77 | 0.9524 |
22 | 4 | 0.159 | 14 | 23 | 0.655 | 22 | 49 | 1 | 22 | 78 | 0.0476 |
5 | 5 | 0.538 | 23 | 23 | 0.345 | 22 | 50 | 1 | 25 | 78 | 0.9524 |
22 | 5 | 0.462 | 14 | 24 | 0.655 | 23 | 51 | 1 | 22 | 79 | 0.0476 |
6 | 6 | 0.3545 | 23 | 24 | 0.345 | 23 | 52 | 1 | 25 | 79 | 0.9524 |
22 | 6 | 0.6455 | 14 | 25 | 0.655 | 23 | 53 | 1 | 22 | 80 | 0.0476 |
6 | 7 | 0.3545 | 23 | 25 | 0.345 | 23 | 54 | 1 | 25 | 80 | 0.9524 |
22 | 7 | 0.6455 | 14 | 26 | 0.655 | 23 | 55 | 1 | 22 | 81 | 0.0476 |
7 | 8 | 0.881 | 23 | 26 | 0.345 | 23 | 56 | 1 | 25 | 81 | 0.9524 |
21 | 8 | 0.119 | 15 | 27 | 0.139 | 23 | 57 | 1 | 22 | 82 | 0.0476 |
8 | 9 | 0.7885 | 23 | 27 | 0.861 | 23 | 58 | 1 | 25 | 82 | 0.9524 |
10 | 9 | 0.0595 | 15 | 28 | 0.139 | 23 | 59 | 1 | 22 | 83 | 0.0476 |
23 | 9 | 0.152 | 23 | 28 | 0.861 | 23 | 60 | 1 | 25 | 83 | 0.9524 |
8 | 10 | 0.7885 | 15 | 29 | 0.139 | 23 | 61 | 1 | 22 | 84 | 0.0476 |
10 | 10 | 0.0595 | 23 | 29 | 0.861 | 23 | 62 | 1 | 25 | 84 | 0.9524 |
23 | 10 | 0.152 | 15 | 30 | 0.139 | 23 | 63 | 1 | 22 | 85 | 0.0476 |
8 | 11 | 0.7885 | 23 | 30 | 0.861 | 23 | 64 | 1 | 25 | 85 | 0.9524 |
10 | 11 | 0.0595 | 16 | 31 | 1 | 23 | 65 | 1 | 22 | 86 | 0.0476 |
23 | 11 | 0.152 | 17 | 32 | 0.415 | 23 | 66 | 1 | 25 | 86 | 0.9524 |
8 | 12 | 0.7885 | 23 | 32 | 0.585 | 23 | 67 | 0.092 | 22 | 87 | 0.0476 |
10 | 12 | 0.0595 | 18 | 33 | 0.375 | 24 | 67 | 0.908 | 25 | 87 | 0.9524 |
23 | 12 | 0.152 | 23 | 33 | 0.625 | 23 | 68 | 0.092 | 22 | 88 | 0.0476 |
9 | 13 | 1 | 9 | 34 | 0.357 | 24 | 68 | 0.908 | 25 | 88 | 0.9524 |
9 | 14 | 1 | 19 | 34 | 0.357 | 22 | 69 | 0.0476 | 22 | 89 | 0.0476 |
10 | 15 | 1 | 23 | 34 | 0.286 | 25 | 69 | 0.9524 | 25 | 89 | 0.9524 |
11 | 16 | 0.4503 | 20 | 35 | 0.714 | 22 | 70 | 0.0476 | 22 | 90 | 0.0476 |
23 | 16 | 0.5497 | 21 | 35 | 0.011 | 25 | 70 | 0.9524 | 25 | 90 | 0.9524 |
11 | 17 | 0.4502 | 23 | 35 | 0.275 | 22 | 71 | 0.0476 | 22 | 91 | 0.0476 |
23 | 17 | 0.5498 | 21 | 36 | 1 | 25 | 71 | 0.9524 | 25 | 91 | 0.9524 |
11 | 18 | 0.4503 | 22 | 37 | 1 | 22 | 72 | 0.0476 | 22 | 92 | 0.0476 |
23 | 18 | 0.5497 | 22 | 38 | 1 | 25 | 72 | 0.9524 | 25 | 92 | 0.9524 |
11 | 19 | 0.4502 | 22 | 39 | 1 | 22 | 73 | 0.0476 | 23 | 93 | 4.331 |
23 | 19 | 0.5498 | 22 | 40 | 1 | 25 | 73 | 0.9524 |
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Gökşen, Y., Pala, O., Ünlü, M. (2019). A Quantitative Analysis About Optimization of Number of Employees and Rebalancing Workload. In: Sykianakis, N., Polychronidou, P., Karasavvoglou, A. (eds) Economic and Financial Challenges for Eastern Europe. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-12169-3_35
Download citation
DOI: https://doi.org/10.1007/978-3-030-12169-3_35
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12168-6
Online ISBN: 978-3-030-12169-3
eBook Packages: Economics and FinanceEconomics and Finance (R0)