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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 3    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 3,March 2012
Assignment of Personnels when Job Completion time follows Gamma distribution using Stochastic Programming Technique
Full Text(PDF, )  PP.274-283  
Mohammed Faisal Khan, Zaki Anwar, Qazi Shoeb Ahmad
Cluster analysis, Gamma distribution, Linear stochastic programming, Non-linear programming,
Recruitment of persons to various jobs according to required talents in an organization plays an important role in the growth of the organization. The formation of a number of groups of the persons from the population based on their efficiency in completion of jobs is being done by using the theory of cluster analysis. In this paper we formulate the problem of assignment of persons from various groups to different jobs who may complete them in minimum time as stochastic programming problem. The job completion times are assumed to follows Gamma distribution. By using the chance constrained programming technique we transform the stochastic programming problem to an equivalent deterministic problem with linear objective function and some non-linear (convex) constraints. First we assume that the completion time variables are identically distributed Gamma variables. The model is then extended to the case of non-identically distributed time variables. The illustrative examples are also given for both the models.
[1]. A.Charnes and W.W.Cooper (1959): Chance Constrained Programming, Management Science, 6, 227-243.

[2]. Biswal,M.P.,Biswal,N.P and Li,Duan (1998): Probabilistic linear programming problems with exponential random variables: A technical note , European Journal of Operational research, 111,589-597.

[3]. Gorden,A.D.(1981):Classification; Chapman and Hall: London, New York.

[4]. Jeeva, M., Rajalaxmi, R., Charles, V. and Yadavalli, V.S.S. (2004): An application of stochastic programming with Weibull distribution- cluster based optimum allocation of recruitment in manpower planning, Stochastic Analysis and Application, 22(3), 801-812.

[5]. Leonhard, C.A. and Davis, J.S (1995, March); Job-Shop development model: a case study, IEEE Software, 12 (2), 86- 92.

[6]. Yadavalli, V.SS. , Malada,A.,Charles, V.(2007): Reliability stochastic optimization for an n-stage series system with m chance constraints, South African Journal of Science, 103,502-504.

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