نموذج متعدد المتغيرات لتخطيط الموارد البشرية باستخدام سلاسل مارکوف غير المتجانسة

نوع المستند : المقالة الأصلية

المؤلفون

1 کلية التجارة - جامعة المنصورة

2 کلية التجارة - جامعة دمياط

المستخلص

Abstract: Mathematical human resource planning has been widely employed to represent inter-dependencies between stocks(current numbers) and flows(transfers) in manpower systems. This study proposes a multivariate non-homogeneous Markov system for human resources planning within the departments of Damietta University, taking into account the horizontal and vertical transitions within and between the different departments, fuzzy goal programing was used to determine the optimal allocation for new comers and transfers between and within different - 2 - departments, with merge the operational cost related to recruitment and retirement and transitions within and between the different departments in university. According to what has been obtained, the optimal solution showed clear results of the recruitment variable (r), which requires the administration to take into account the need for work necessary for this number of new employees and make estimates of the vectors of the costs of recruitment and transition, with regard to the transition probabilities, it is acceptable, as well as the estimates of the total cost vector, most of the cost estimates obtained are greater than the aspiration level and therefore the aspiration level by management should be increased for each functional grade at the level of each department..

الموضوعات الرئيسية

المراجع

ثاَياً: انًراخ األخُبيت A.Periodicals. 1. De Feyter, T., (2006) "Modeling heterogeneity in a manpower planning: dividing the personnel system into more homogeneous subgroups", Applied Stochastic Models in Business and Industry, Vol.No.22, pp.321-334. 2. De Feyter, T., & Guerry, M. (2009) "Evaluating recruitment strategies using fuzzy set theory in stochastic manpower planning", Stochastic Analysis and Applications, Vol.No.27, pp.1184-1162. 3. De Feyter, T., & Guerry, M. & Komarudin (2016) "Optimizing cost-effectiveness in a stochastic Markov manpower planning system under control by recruitment", Annals of Operation Research., doi:10.1007/s10479-016-2311-4. 4. Dimitriou, V.A. & Tsantas, N. (2009) "Prospective control in an enhanced manpower planning model", Applied Mathematics and Computation, Vol.No.215,pp.995-1014. 5. ----------------------------------------- (2009) "Evolution of a time dependent Markov model for training and recruitment decisions in manpower planning", Linear Algebra and its Applications, Vol.No.433,pp.1950- 1972. 6. ----------------------------------------- (2011) "The augmented semi-Markov system and its asymptotic behavior", Appl. Stochastic Models Bus. Ind., Vol.No.27,pp.519-530. - 35 - 7. ------------------------------------------ (2013) "The multivariate non-homogeneous Markov manpower system in a departmental mobility framework", European Journal of Operational Research, Vol.No.228,pp.112-121. 8. Guerry, M.A. & De Feyter, T., (2012) "Optimal recruitment strategies in a multi-level Manpower planning model", Journal of Operational Research Society, Vol.No.63,pp.931-940. 9. Seal, H.L. (1945). "The mathematics of population composed K strata each recruited from the stratum below and supported at the lowest level by a uniform annual number of entrants". Biometrica, Vol.33,pp.226-230. 10.Udom, Akaninyene U., (2013) " A Markov decision process approach to optimal control of a multi-level hierarchical manpower system ", CBN Journal of Applied Statistics , Vol.4 No.2, pp.31-49. 11. Yaghoobi,M.A & Tamiz,N. (2007). "A method for solving fuzzy goal programming problems based on MINMAX approach". European Journal of Operational Research ,Vol.177,pp.1580-1590.

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