A mathematical programming model for optimal layout considering quantitative risk analysis

Abstract Safety and performance are important factors in the design and operation of chemical plants. This paper describes the formulation of a mixed integer nonlinear programming model for the optimization of plant layout with safety considerations. The model considers a quantitative risk analysis to take safety into account, and a bowtie analysis is used to identify possible catastrophic outcomes. These effects are quantified through consequence analyses and probit models. The model allows the location of facilities at any available point, an advantage over grid-based models. Two case studies are solved to show the applicability of the proposed approach.

[1]  C. Beyler.  Fire Hazard Calculations for Large, Open Hydrocarbon Fires , 2016 .

[2]  H. Ni,et al.  Some extensions on risk matrix approach , 2010 .

[3]  Mohammad Modarres,et al.  Reliability engineering and risk analysis : a practical guide , 2016 .

[4]  Frank Pearson Lees,et al.  Loss prevention in the process industries : hazard identification, assessment, and control , 1980 .

[5]  Lazaros G. Papageorgiou,et al.  Continuous-Domain Mathematical Models for Optimal Process Plant Layout , 1998 .

[6]  Raghunathan Rengaswamy,et al.  A review of process fault detection and diagnosis: Part II: Qualitative models and search strategies , 2003, Comput. Chem. Eng..

[7]  Ross E. Swaney,et al.  Optimization of process plant layout with pipe routing , 2005, Comput. Chem. Eng..

[8]  Ccps.  Guidelines for Facility Siting and Layout , 2003 .

[9]  Warren D. Seider,et al.  Real-time risk analysis of safety systems , 2008, Comput. Chem. Eng..

[10]  Lazaros G. Papageorgiou,et al.  Efficient solution approaches for the multifloor process plant layout problem , 2003 .

[11]  M. Sam Mannan,et al.  Optimal facility layout under toxic release in process facilities: A stochastic approach , 2010, Comput. Chem. Eng..

[12]  Michael C. Georgiadis,et al.  A general mathematical programming approach for process plant layout , 1999 .

[13]  Matthew J. Realff,et al.  Geographic and process information for chemical plant layout problems , 1999 .

[14]  Carl D. Laird,et al.  A new approach for facility siting using mapping risks on a plant grid area and optimization , 2010 .

[15]  Valerio Cozzani,et al.  The assessment of the damage probability of storage tanks in domino events triggered by fire. , 2009, Accident; analysis and prevention.

[16]  Dongil Shin,et al.  Optimal multi-floor plant layout with consideration of safety distance based on mathematical programming and modified consequence analysis , 2011 .

[17]  Jiang Juncheng,et al.  An improved probit method for assessment of domino effect to chemical process equipment caused by overpressure. , 2008, Journal of hazardous materials.

[18]  John B. Cornwell,et al.  The importance of weather variations in a quantitative risk analysis , 2009 .

[19]  F. A. Gifford,et al.  Horizontal diffusion in the atmosphere: A Lagrangian-dynamical theory , 1982 .

[20]  Gary F. Bennett,et al.  Lees’ Loss Prevention in the Process Industries: Hazard Identification, Assessment and Control, third ed., Mannan Sam (Ed.). Elsevier Butterworths Heinemann, Burlington, MA (2005), three-volume set, 0-7506-7857-7 (vol. I), US$ 476.00 (for three-volume set), 1439 pp., ISBN 0-7506-7555-1 , 2005 .

[21]  Lazaros G. Papageorgiou,et al.  An MILP Approach to Safe Process Plant Layout , 2004 .

[22]  Raghunathan Rengaswamy,et al.  A review of process fault detection and diagnosis: Part III: Process history based methods , 2003, Comput. Chem. Eng..

[23]  Daniel A. Crowl,et al.  Chemical Process Safety: Fundamentals with Applications , 2001 .

[24]  Raghunathan Rengaswamy,et al.  A review of process fault detection and diagnosis: Part I: Quantitative model-based methods , 2003, Comput. Chem. Eng..

[25]  Ignacio E. Grossmann,et al.  A hierarchy of relaxations for linear generalized disjunctive programming , 2012, Eur. J. Oper. Res..

[26]  A. R. Ciric,et al.  An MINLP Approach for Safe Process Plant Layout , 1996 .

[27]  Ccps.  Guidelines for Chemical Process Quantitative Risk Analysis , 1999 .

[28]  Dedy Ng,et al.  An approach for risk reduction (methodology) based on optimizing the facility layout and siting in toxic gas release scenarios , 2010 .

[29]  Warren D. Seider,et al.  Analysis of management actions, human behavior, and process reliability in chemical plants. II. Near‐miss management system selection , 2008 .