Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt
Ramadan, H., Raafat, S., El-Akkad, Z. (2002). Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt. EKB Journal Management System, 46(2), 145-159. doi: 10.21608/esju.2002.313795
H. Mohamed Ramadan; Sahar A. Raafat; Zienab M. El-Akkad. "Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt". EKB Journal Management System, 46, 2, 2002, 145-159. doi: 10.21608/esju.2002.313795
Ramadan, H., Raafat, S., El-Akkad, Z. (2002). 'Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt', EKB Journal Management System, 46(2), pp. 145-159. doi: 10.21608/esju.2002.313795
Ramadan, H., Raafat, S., El-Akkad, Z. Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt. EKB Journal Management System, 2002; 46(2): 145-159. doi: 10.21608/esju.2002.313795

Using Stochastic Goal Programming in Updating the Input-Output Table with Application to Egypt

The Egyptian Statistical Journal
Article 3, Volume 46, Issue 2, December 2002, Page 145-159  XML PDF (33.11 MB)
Document Type: Original Article
DOI: 10.21608/esju.2002.313795
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Authors
H. Mohamed Ramadan* 1; Sahar A. Raafat2; Zienab M. El-Akkad3
1Department of Statistics, Faculty of Economics & Political Science, Cairo University, Egypt.
2Department of Statistics, Faculty of Commerce, Zagazig University, Egypt
3Information Center, Statistic Management, Cairo University, Egypt.
Abstract
The I/O Table illustrates the interaction relations between the economic sectors of the economy. This paper develops a new approach depending on stochastic programming in order to update I/O Table when the final demand is random variable. Two cases will be considered; the final demand being a random variable with exponential or with chi-square distribution. The problem will be tackled in two steps. Firstly, the relationships among the I/O Table components will be presented in a stochastic goal program form. Secondly, the stochastic program will be transformed to a deterministic goal program using the chance-constrained approach. The solution of the deterministic program gives the output I/O table. The Goal programming technique is then used to satisfy the balance conditions of I/O table; the equalization of each row-column sum. These balance conditions are formulated in linear goal program form. The solution of this L.G.P. gives the updated I/O Table.
 
Keywords
Goal Programming (G.P); Input; Output (I/O); Linear Goal Programming (L.G.P.)
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