Framework for studying online production scheduling under endogenous uncertainty

被引:18
作者
Gupta, Dhruv [1 ]
Maravelias, Christos T. [1 ]
机构
[1] Univ Wisconsin, Dept Chem & Biol Engn, 1415 Engn Dr, Madison, WI 53706 USA
关键词
Chemical production scheduling; Process uncertainty; Disturbances; Re-optimization; Model predictive control; MATHEMATICAL-PROGRAMMING TECHNIQUES; STOCHASTIC PROGRAMS; BATCH PLANT; GENERAL FRAMEWORK; BOUND ALGORITHM; PROCESS SYSTEMS; DECOMPOSITION; OPTIMIZATION; MODELS; FORMULATIONS;
D O I
10.1016/j.compchemeng.2019.106670
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We propose a framework for studying online production scheduling in the presence of endogenous uncertainties. We address uncertainties in (i) processing times; (ii) batch yields; and (iii) unit operating status. First, we illustrate how uncertainty can result in infeasibilities in the incumbent schedule and propose a model for systematic schedule adjustment to restore feasibility in the absence of new scheduling inputs. In this model, we define variables to track and penalize changes between the new and old schedule. Second, we discuss the different probability distributions for the three uncertainties that we consider in this work and how the parameters for these distributions change with sampling frequency. Third, we present a formal procedure for carrying out closed-loop simulations and evaluating closed-loop performance in the presence of these uncertainties. Finally, using this framework we draw useful insights for the design of online scheduling algorithms in the presence of the above three uncertainties. (C) 2019 Elsevier Ltd. All rights reserved.
引用
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页数:12
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共 70 条
[1]  
[Anonymous], P 22 INT C PROD RES
[2]  
[Anonymous], ARXIV180503437
[3]  
[Anonymous], MODEL PREDICTIVE CON
[4]   Decomposition techniques for the solution of large-scale scheduling problems [J].
Bassett, MH ;
Pekny, JF ;
Reklaitis, GV .
AICHE JOURNAL, 1996, 42 (12) :3373-3387
[5]   LP-based heuristics for scheduling chemical batch processes [J].
Blömer, F ;
Günther, HO .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2000, 38 (05) :1029-1051
[6]   Review, extensions and computational comparison of MILP formulations for scheduling of batch processes [J].
Burkard, RE ;
Hatzl, J .
COMPUTERS & CHEMICAL ENGINEERING, 2005, 29 (08) :1752-1769
[7]   Hybrid Bilevel-Lagrangean Decomposition Scheme for the Integration of Planning and Scheduling of a Network of Batch Plants [J].
Calfa, Bruno A. ;
Agarwal, Anshul ;
Grossmann, Ignacio E. ;
Wassick, John M. .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2013, 52 (05) :2152-2167
[8]   Greedy Algorithm for Scheduling Batch Plants with Sequence-Dependent Changeovers [J].
Castro, Pedro M. ;
Harjunkoski, Iiro ;
Grossmann, Ignacio E. .
AICHE JOURNAL, 2011, 57 (02) :373-387
[9]   A branch and bound algorithm to solve large-scale multistage stochastic programs with endogenous uncertainty [J].
Christian, Brianna ;
Cremaschi, Selen .
AICHE JOURNAL, 2018, 64 (04) :1262-1271
[10]   Moving horizon approach of integrating scheduling and control for sequential batch processes [J].
Chu, Yunfei ;
You, Fengqi .
AICHE JOURNAL, 2014, 60 (05) :1654-1671