Author : Abdelnaser Saad Abdrabou Ali Hassan
CoAuthors : Maha Ismail; Ali El-Hefnawy
Source : Future Business Journal
Date of Publication : 08/2016
Abstract :
Linear Programming model is an important tool used to solve
constrained optimization problems. In fact, the real life problems are
usually occurring in the presence of uncertainty. For instance, in
managerial problems of assigning employees to different tasks with the
aim of minimizing the total completion time, or maximizing the total
productivity, which are better described as random variables. Therefore,
the use of the Probabilistic Linear Programming model with random
coefficients has drawn much attention in recent years. One of the most
frequently used approaches to solve the Probabilistic Linear Programming
model is the Chance Constrained Linear Programming approach. In this
paper, a Chance Constrained Linear Programming model with Weibull random
coefficients is proposed. The proposed model is introduced in the
Bivariate form with two of the L.H.S technologic coefficients are random
variables. Moreover, the performance of the proposed model is shown
through an application of allocating recruitment in Manpower Planning so
as to optimize the jobs' completion time. The obtained results are
compared with the results of another model that depends on approximating
the distribution of the sum of Weibull random variables to the Normal
distribution. This comparison verified the good performance of the new
proposed model.
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