Template-type: ReDIF-Paper 1.0 Author-Name: Wenkai Li Author-Name-First: Wenkai Author-Name-Last: Li Author-Email: lwk@iuj.ac.jp Author-Workplace-Name: International University of Japan Author-Workplace-Homepage: http://www.iuj.ac.jp/ Author-Name: I. A. Karimi Author-Name-Last: Karimi Author-Email: cheiak@nus.edu.sg Author-Workplace-Name: National University of Singapore Author-Workplace-Homepage: http://www.nus.edu.sg/ Author-Name: Rajagopalan Srinivasan Author-Name-First: Rajagopalan Author-Name-Last: Srinivasan Author-Workplace-Name: National University of Singapore Author-Workplace-Homepage: http://www.nus.edu.sg/ Title: Planning under Correlated and Truncated Price and Demand Uncertainties Abstract: This paper presents a novel approach to handle refinery planning under correlated and truncated random demand and price uncertainties. To compute the expectation of plant revenue, which is the main difficulty for a planning problem under uncertainty, a bivariate normal distribution is used to describe demand and price. Formulae for revenue calculation under correlated and truncated price and demand are derived. It is found that the correlation and truncation of price and demand have major influences on plant net profit. A plan that ignores these factors can be far from optimal. The Type 2 service level or fill rate undercorrelated and truncated random price and demand is derived and efficiently calculated in this paper. Maximum plant net profit that satisfies certain fill rate target can thus be obtained. The proposed approach can be generally applied for modeling other chemical plants under uncertainty. Length: 46 pages Creation-Date: 2012-09 Number: EMS_2012_15 File-URL: https://www.iuj.ac.jp/workingpapers/index.cfm?File=EMS_2012_15.pdf File-Format: Application/pdf File-Function: First version, 2012 File-Size: 773KB Keywords: refinery, planning, uncertainty, correlation, truncation Handle: RePEc:iuj:wpaper:EMS_2012_15