Determining the robust counterpart of uncertain spatial optimization model for water supply allocation problem

In this paper we discuss how to get the robust counterpart for the spatial optimization model for water supply allocation (SOMWSA) problem that is proposed by [6]. We employ the robust counterpart methodology that is proposed by Ben-Tal and Nemirovskii [2] also use the new paradigm of robust counter...

Full description

Saved in:
Bibliographic Details
Main Authors: Chaerani, D., Ruchjana, B. N., Dewanto, S. P., Abdullah, A. S., Rejito, J., Rosandi, Y., Dharmawan, I. A.
Format: Conference Proceeding
Language:English
Subjects:
Optimization models
Robustness
Uncertainty
Water supply
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we discuss how to get the robust counterpart for the spatial optimization model for water supply allocation (SOMWSA) problem that is proposed by [6]. We employ the robust counterpart methodology that is proposed by Ben-Tal and Nemirovskii [2] also use the new paradigm of robust counterpart methodology of den Hertog et al. [4]. To this end, first we define the uncertain family class of SOMWSA and derive the robust version of the uncertain problem. We assume that there are two uncertain data in SOMWSA problem, ie., the total population and the water demand in a region i at time t. Since the tractability of the problem is very important in Robust Optimization, we discuss three types of uncertainty set, i.e., box, ellipsoidal and polyhedral uncertainty set.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4942985