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, Pages 145-159 PDF (33.11 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2002.313795 | ||
| 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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