Skip to main content
Top
Published in: OR Spectrum 1/2023

06-08-2022 | Original Article

Combining simulation and optimization to derive operating policies for a concentrating solar power plant

Authors: Jesse G. Wales, Alexander J. Zolan, William T. Hamilton, Alexandra M. Newman, Michael J. Wagner

Published in: OR Spectrum | Issue 1/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Optimizing short-term decisions over a rolling horizon and/or using deterministic penalties to capture system stochasticity can lead to myopic policies that fail to consider unplanned events and their long-term adverse effects. We present a methodology that integrates an off-line optimization model with a simulation procedure to determine the profitability of different operating strategies; specifically, the latter is used to generate additional constraints for the former when failures occur according to system component operating lifetimes that (i) are subject to exogenous uncertainty, and (ii) may degrade more quickly under specific operating conditions. We use the feedback provided by the simulation model in a parametric analysis to obtain penalties that can be used in short-term operations scheduling to maximize the long-term revenues obtained by the optimization model. We apply this research to a concentrating solar power plant; our results show that the methodology can be used to choose an operating policy that balances maximizing profit while accounting for maintenance costs. Integrating the optimization model with a simulation procedure reveals that aggressive prices for cycling yield about 55% fewer startups and 30% fewer failures compared to using a more typical start-up operating strategy, and can save hundreds of thousands to millions of dollars in repair costs over the lifetime of the plant.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Aguilar O, Kim JK, Perry S, Smith R (2008) Availability and reliability considerations in the design and optimisation of flexible utility systems. Chem Eng Sci 63(14):3569–3584CrossRef Aguilar O, Kim JK, Perry S, Smith R (2008) Availability and reliability considerations in the design and optimisation of flexible utility systems. Chem Eng Sci 63(14):3569–3584CrossRef
go back to reference Alagoz O, Hsu H, Schaefer AJ, Roberts MS (2010) Markov decision processes: a tool for sequential decision making under uncertainty. Med Decis Mak 30(4):474–483CrossRef Alagoz O, Hsu H, Schaefer AJ, Roberts MS (2010) Markov decision processes: a tool for sequential decision making under uncertainty. Med Decis Mak 30(4):474–483CrossRef
go back to reference Altés Buch Q (2014) Dynamic modeling of a steam rankine cycle for concentrated solar power applications. PhD thesis, Polytechnic University of Catalonia, Barcelona, Spain Altés Buch Q (2014) Dynamic modeling of a steam rankine cycle for concentrated solar power applications. PhD thesis, Polytechnic University of Catalonia, Barcelona, Spain
go back to reference Aminov R, Kozhevnikov A (2017) Optimization of the operating conditions of gas-turbine power stations considering the effect of equipment deterioration. Therm Eng 64(10):715–722CrossRef Aminov R, Kozhevnikov A (2017) Optimization of the operating conditions of gas-turbine power stations considering the effect of equipment deterioration. Therm Eng 64(10):715–722CrossRef
go back to reference Andradóttir S (2006) An overview of simulation optimization via random search. Handb Oper Res Manag Sci 13:617–631 Andradóttir S (2006) An overview of simulation optimization via random search. Handb Oper Res Manag Sci 13:617–631
go back to reference April J, Glover F, Kelly JP, Laguna M (2003) Practical introduction to simulation optimization. In: Proceedings of the 35th conference on Winter simulation: driving innovation, Winter Simulation Conference, pp 71–78 April J, Glover F, Kelly JP, Laguna M (2003) Practical introduction to simulation optimization. In: Proceedings of the 35th conference on Winter simulation: driving innovation, Winter Simulation Conference, pp 71–78
go back to reference Basciftci B, Ahmed S, Gebraeel NZ, Yildirim M (2018) Stochastic optimization of maintenance and operations schedules under unexpected failures. IEEE Trans Power Syst 33(6):6755–6765CrossRef Basciftci B, Ahmed S, Gebraeel NZ, Yildirim M (2018) Stochastic optimization of maintenance and operations schedules under unexpected failures. IEEE Trans Power Syst 33(6):6755–6765CrossRef
go back to reference Basciftci B, Ahmed S, Gebraeel N (2019) Data-driven maintenance and operations scheduling in power systems under decision-dependent uncertainty. IISE Trans pp 1–14 Basciftci B, Ahmed S, Gebraeel N (2019) Data-driven maintenance and operations scheduling in power systems under decision-dependent uncertainty. IISE Trans pp 1–14
go back to reference Benato A, Stoppato A, Bracco S (2014) Combined cycle power plants: a comparison between two different dynamic models to evaluate transient behaviour and residual life. Energy Convers Manag 87:1269–1280CrossRef Benato A, Stoppato A, Bracco S (2014) Combined cycle power plants: a comparison between two different dynamic models to evaluate transient behaviour and residual life. Energy Convers Manag 87:1269–1280CrossRef
go back to reference Blair N, DiOrio N, Freeman J, Gilman P, Janzou S, Neises T, Wagner M (2017) System Advisor Model, SAM 2017.9.5: general description. Tech. Rep., National Renewable Energy Laboratory Blair N, DiOrio N, Freeman J, Gilman P, Janzou S, Neises T, Wagner M (2017) System Advisor Model, SAM 2017.9.5: general description. Tech. Rep., National Renewable Energy Laboratory
go back to reference Borgonovo E, Marseguerra M, Zio E (2000) A Monte Carlo methodological approach to plant availability modeling with maintenance, aging and obsolescence. Reliab Eng Syst Saf 67(1):61–73CrossRef Borgonovo E, Marseguerra M, Zio E (2000) A Monte Carlo methodological approach to plant availability modeling with maintenance, aging and obsolescence. Reliab Eng Syst Saf 67(1):61–73CrossRef
go back to reference Chang D, Jiang Z, Yan W, He J (2011) Developing a dynamic rolling-horizon decision strategy for yard crane scheduling. Adv Eng Inform 25(3):485–494CrossRef Chang D, Jiang Z, Yan W, He J (2011) Developing a dynamic rolling-horizon decision strategy for yard crane scheduling. Adv Eng Inform 25(3):485–494CrossRef
go back to reference Chen CH, Fu MC, Shi L (2008) Simulation and optimization. In: State-of-the-art decision-making tools in the information-intensive age, pp 247–260 Chen CH, Fu MC, Shi L (2008) Simulation and optimization. In: State-of-the-art decision-making tools in the information-intensive age, pp 247–260
go back to reference Ciocan DF, Farias V (2012) Model predictive control for dynamic resource allocation. Math Oper Res 37(3):501–525CrossRef Ciocan DF, Farias V (2012) Model predictive control for dynamic resource allocation. Math Oper Res 37(3):501–525CrossRef
go back to reference Correa-Posada CM, Sánchez-Martín P (2013) Stochastic contingency analysis for the unit commitment with natural gas constraints. In: 2013 IEEE Grenoble Conference, IEEE, pp 1–6 Correa-Posada CM, Sánchez-Martín P (2013) Stochastic contingency analysis for the unit commitment with natural gas constraints. In: 2013 IEEE Grenoble Conference, IEEE, pp 1–6
go back to reference Eide S, Wierman T, Gentillon C, Rasmuson D, Atwood C (2007) Industry-average performance for components and initiating events at US commercial nuclear power plants. Idaho National Laboratory, US Nuclear Regulatory Commission Office of Nuclear Regulatory Research Washington, DC p 20555 Eide S, Wierman T, Gentillon C, Rasmuson D, Atwood C (2007) Industry-average performance for components and initiating events at US commercial nuclear power plants. Idaho National Laboratory, US Nuclear Regulatory Commission Office of Nuclear Regulatory Research Washington, DC p 20555
go back to reference Fishman GS (1996) Monte Carlo: concepts, algorithms, and applications Fishman GS (1996) Monte Carlo: concepts, algorithms, and applications
go back to reference Frangopoulos CA, Dimopoulos GG (2004) Effect of reliability considerations on the optimal synthesis, design and operation of a cogeneration system. Energy 29:309–329CrossRef Frangopoulos CA, Dimopoulos GG (2004) Effect of reliability considerations on the optimal synthesis, design and operation of a cogeneration system. Energy 29:309–329CrossRef
go back to reference Fu MC, Glover FW, April J (2005) Simulation optimization: a review, new developments, and applications. Proc Winter Simul Conf 2005:83–95 Fu MC, Glover FW, April J (2005) Simulation optimization: a review, new developments, and applications. Proc Winter Simul Conf 2005:83–95
go back to reference Gilchrist W (1993) Modelling failure modes and effects analysis. Int J Qual Reliab Manag 10(5) Gilchrist W (1993) Modelling failure modes and effects analysis. Int J Qual Reliab Manag 10(5)
go back to reference Guédez R, Spelling J, Laumert B (2015) Reducing the number of turbine starts in concentrating solar power plants through the integration of thermal energy storage. J Solar Energy Eng 137(1):011003CrossRef Guédez R, Spelling J, Laumert B (2015) Reducing the number of turbine starts in concentrating solar power plants through the integration of thermal energy storage. J Solar Energy Eng 137(1):011003CrossRef
go back to reference Haghifam MR, Manbachi M (2011) Reliability and availability modelling of combined heat and power (CHP) systems. Int J Elec Power Energy Syst 3(33):385–393CrossRef Haghifam MR, Manbachi M (2011) Reliability and availability modelling of combined heat and power (CHP) systems. Int J Elec Power Energy Syst 3(33):385–393CrossRef
go back to reference Hale P, Arno R (2001) Survey of reliability and availability information for power distribution, power generation, and HVAC components for commercial, industrial, and utility installations. IEEE Trans Ind Appl 37(1):191–196CrossRef Hale P, Arno R (2001) Survey of reliability and availability information for power distribution, power generation, and HVAC components for commercial, industrial, and utility installations. IEEE Trans Ind Appl 37(1):191–196CrossRef
go back to reference Hazan E et al (2016) Introduction to online convex optimization. Found Trends Optim 2(3–4):157–325CrossRef Hazan E et al (2016) Introduction to online convex optimization. Found Trends Optim 2(3–4):157–325CrossRef
go back to reference Herrmann JW (2006) Handbook of production scheduling, vol 89. Springer, Heidelberg Herrmann JW (2006) Handbook of production scheduling, vol 89. Springer, Heidelberg
go back to reference Higle JL, Sen S (1991) Stochastic decomposition: an algorithm for two-stage linear programs with recourse. Math Oper Res 16(3):650–669CrossRef Higle JL, Sen S (1991) Stochastic decomposition: an algorithm for two-stage linear programs with recourse. Math Oper Res 16(3):650–669CrossRef
go back to reference IEEE (2007) IEEE recommended practice for the design of reliable industrial and commercial power systems IEEE (2007) IEEE recommended practice for the design of reliable industrial and commercial power systems
go back to reference Islam MT, Huda N, Abdullah A, Saidur R (2018) A comprehensive review of state-of-the-art concentrating solar power (CSP) technologies: current status and research trends. Renew Sustain Energy Rev 91:987–1018CrossRef Islam MT, Huda N, Abdullah A, Saidur R (2018) A comprehensive review of state-of-the-art concentrating solar power (CSP) technologies: current status and research trends. Renew Sustain Energy Rev 91:987–1018CrossRef
go back to reference Jaillet P, Wagner MR (2012) Online optimization. Springer, Heidelberg Jaillet P, Wagner MR (2012) Online optimization. Springer, Heidelberg
go back to reference Jung JY, Blau G, Pekny JF, Reklaitis GV, Eversdyk D (2004) A simulation based optimization approach to supply chain management under demand uncertainty. Comput Chem Eng 28(10):2087–2106CrossRef Jung JY, Blau G, Pekny JF, Reklaitis GV, Eversdyk D (2004) A simulation based optimization approach to supply chain management under demand uncertainty. Comput Chem Eng 28(10):2087–2106CrossRef
go back to reference Keatley P (2014) Cost modelling of coal power plant start-up in cyclical operation. In: Coal Power Plant Materials and Life Assessment, pp 358–388 Keatley P (2014) Cost modelling of coal power plant start-up in cyclical operation. In: Coal Power Plant Materials and Life Assessment, pp 358–388
go back to reference Keatley P, Shibli A, Hewitt N (2013) Estimating power plant start costs in cyclic operation. Appl Energy 111:550–557CrossRef Keatley P, Shibli A, Hewitt N (2013) Estimating power plant start costs in cyclic operation. Appl Energy 111:550–557CrossRef
go back to reference Kim SH, Nelson BL (2006) Selecting the best system. Handb Oper Res Manag Sci 13:501–534 Kim SH, Nelson BL (2006) Selecting the best system. Handb Oper Res Manag Sci 13:501–534
go back to reference Kleijnen JP (2008) Response surface methodology for constrained simulation optimization: an overview. Simul Model Pract Theory 16(1):50–64CrossRef Kleijnen JP (2008) Response surface methodology for constrained simulation optimization: an overview. Simul Model Pract Theory 16(1):50–64CrossRef
go back to reference Kumar N, Besuner P, Lefton S, Agan D, Hilleman D (2012) Power plant cycling costs. Tech Rep Natl Renew Energy Lab 303:275–3000 Kumar N, Besuner P, Lefton S, Agan D, Hilleman D (2012) Power plant cycling costs. Tech Rep Natl Renew Energy Lab 303:275–3000
go back to reference Kumar R, Sharma A, Tewari P (2012) Markov approach to evaluate the availability simulation model for power generation system in a thermal power plant. Int J Indus Eng Comput 3(5):743–750 Kumar R, Sharma A, Tewari P (2012) Markov approach to evaluate the availability simulation model for power generation system in a thermal power plant. Int J Indus Eng Comput 3(5):743–750
go back to reference Kushner H, Yin GG (2003) Stochastic approximation and recursive algorithms and applications, vol 35. Springer, Heidelberg Kushner H, Yin GG (2003) Stochastic approximation and recursive algorithms and applications, vol 35. Springer, Heidelberg
go back to reference Law AM, Kelton WD, Kelton WD (1991) Simulation modeling and analysis, vol 2. McGraw-Hill, New York Law AM, Kelton WD, Kelton WD (1991) Simulation modeling and analysis, vol 2. McGraw-Hill, New York
go back to reference Le K, Day J (1982) Rolling horizon method: a new optimization technique for generation expansion studies. IEEE Trans Power Appar Syst 9:3112–3116CrossRef Le K, Day J (1982) Rolling horizon method: a new optimization technique for generation expansion studies. IEEE Trans Power Appar Syst 9:3112–3116CrossRef
go back to reference Liu Y, Li M, Lian H, Tang X, Liu C, Jiang C (2018) Optimal dispatch of virtual power plant using interval and deterministic combined optimization. Int J Elec Power Energy Syst 102:235–244CrossRef Liu Y, Li M, Lian H, Tang X, Liu C, Jiang C (2018) Optimal dispatch of virtual power plant using interval and deterministic combined optimization. Int J Elec Power Energy Syst 102:235–244CrossRef
go back to reference Majidi-Qadikolai M, Baldick R (2016) Stochastic transmission capacity expansion planning with special scenario selection for integrating \( n-1\) contingency analysis. IEEE Trans Power Syst 31(6):4901–4912CrossRef Majidi-Qadikolai M, Baldick R (2016) Stochastic transmission capacity expansion planning with special scenario selection for integrating \( n-1\) contingency analysis. IEEE Trans Power Syst 31(6):4901–4912CrossRef
go back to reference Mak WK, Morton DP, Wood RK (1999) Monte Carlo bounding techniques for determining solution quality in stochastic programs. Oper Res Lett 24(1–2):47–56CrossRef Mak WK, Morton DP, Wood RK (1999) Monte Carlo bounding techniques for determining solution quality in stochastic programs. Oper Res Lett 24(1–2):47–56CrossRef
go back to reference Marseguerra M, Zio E (2000) Optimizing maintenance and repair policies via a combination of genetic algorithms and Monte Carlo simulation. Reliab Eng Syst Saf 68(1):69–83CrossRef Marseguerra M, Zio E (2000) Optimizing maintenance and repair policies via a combination of genetic algorithms and Monte Carlo simulation. Reliab Eng Syst Saf 68(1):69–83CrossRef
go back to reference Menéndez RP, Martínez JA, Prieto MJ, Barcia LA, Sánchez JMM (2014) A novel modeling of molten-salt heat storage systems in thermal solar power plants. Energies 7:6721–6740CrossRef Menéndez RP, Martínez JA, Prieto MJ, Barcia LA, Sánchez JMM (2014) A novel modeling of molten-salt heat storage systems in thermal solar power plants. Energies 7:6721–6740CrossRef
go back to reference Mirandola A, Stoppato A, Lo Casto E (2010) Evaluation of the effects of the operation strategy of a steam power plant on the residual life of its devices. Energy 35:1024–1032CrossRef Mirandola A, Stoppato A, Lo Casto E (2010) Evaluation of the effects of the operation strategy of a steam power plant on the residual life of its devices. Energy 35:1024–1032CrossRef
go back to reference Olafsson S, Li X, Wu S (2008) Operations research and data mining. Eur J Oper Res 187(3):1429–1448CrossRef Olafsson S, Li X, Wu S (2008) Operations research and data mining. Eur J Oper Res 187(3):1429–1448CrossRef
go back to reference Panneton F, L’ecuyer P, Matsumoto M (2006) Improved long-period generators based on linear recurrences modulo 2. ACM Trans Math Softw 32(1):1–16CrossRef Panneton F, L’ecuyer P, Matsumoto M (2006) Improved long-period generators based on linear recurrences modulo 2. ACM Trans Math Softw 32(1):1–16CrossRef
go back to reference Powell KM, Edgar TF (2012) Modeling and control of a solar thermal power plant with thermal energy storage. Chem Eng Sci 71:138–145CrossRef Powell KM, Edgar TF (2012) Modeling and control of a solar thermal power plant with thermal energy storage. Chem Eng Sci 71:138–145CrossRef
go back to reference Powell WB (2007) Approximate dynamic programming: solving the curses of dimensionality, vol 703. Wiley, OxfordCrossRef Powell WB (2007) Approximate dynamic programming: solving the curses of dimensionality, vol 703. Wiley, OxfordCrossRef
go back to reference Ramezanian R, Saidi-Mehrabad M, Fattahi P (2013) MIP formulation and heuristics for multi-stage capacitated lot-sizing and scheduling problem with availability constraints. J Manuf Syst 32(2):392–401CrossRef Ramezanian R, Saidi-Mehrabad M, Fattahi P (2013) MIP formulation and heuristics for multi-stage capacitated lot-sizing and scheduling problem with availability constraints. J Manuf Syst 32(2):392–401CrossRef
go back to reference Sabouhi H, Abbaspour A, Fotuhi-Firuzabad M, Dehghanian P (2016) Reliability modeling and availability analysis of combined cycle power plants. Int J Elec Power Energy Syst 79:108–119CrossRef Sabouhi H, Abbaspour A, Fotuhi-Firuzabad M, Dehghanian P (2016) Reliability modeling and availability analysis of combined cycle power plants. Int J Elec Power Energy Syst 79:108–119CrossRef
go back to reference Santos MI, Uturbey W (2018) A practical model for energy dispatch in cogeneration plants. Energy 151:144–159CrossRef Santos MI, Uturbey W (2018) A practical model for energy dispatch in cogeneration plants. Energy 151:144–159CrossRef
go back to reference Shah D, Wischik D (2012) Switched networks with maximum weight policies: fluid approximation and multiplicative state space collapse. Ann Appl Probab 22(1):70–127CrossRef Shah D, Wischik D (2012) Switched networks with maximum weight policies: fluid approximation and multiplicative state space collapse. Ann Appl Probab 22(1):70–127CrossRef
go back to reference Silvente J, Kopanos GM, Pistikopoulos EN, Espuña A (2015) A rolling horizon optimization framework for the simultaneous energy supply and demand planning in microgrids. Appl Energy 155:485–501CrossRef Silvente J, Kopanos GM, Pistikopoulos EN, Espuña A (2015) A rolling horizon optimization framework for the simultaneous energy supply and demand planning in microgrids. Appl Energy 155:485–501CrossRef
go back to reference Stoppato A, Mirandola A, Meneghetti G, Lo Casto E (2012) On the operation strategy of steam power plants working at variable load: technical and economic issues. Energy 37:228–236CrossRef Stoppato A, Mirandola A, Meneghetti G, Lo Casto E (2012) On the operation strategy of steam power plants working at variable load: technical and economic issues. Energy 37:228–236CrossRef
go back to reference Tică A, Guéguen H, Dumur D, Faille D, Davelaar F (2012) Design of a combined cycle power plant model for optimization. Appl Energy 98:256–265CrossRef Tică A, Guéguen H, Dumur D, Faille D, Davelaar F (2012) Design of a combined cycle power plant model for optimization. Appl Energy 98:256–265CrossRef
go back to reference Wagner MJ, Newman AM, Hamilton WT, Braun RJ (2017) Optimized dispatch in a first-principles concentrating solar power production model. Appl Energy 203:959–971CrossRef Wagner MJ, Newman AM, Hamilton WT, Braun RJ (2017) Optimized dispatch in a first-principles concentrating solar power production model. Appl Energy 203:959–971CrossRef
go back to reference Wagner MJ, Hamilton WT, Newman A, Dent J, Diep C, Braun R (2018) Optimizing dispatch for a concentrated solar power tower. Solar Energy 174:1198–1211CrossRef Wagner MJ, Hamilton WT, Newman A, Dent J, Diep C, Braun R (2018) Optimizing dispatch for a concentrated solar power tower. Solar Energy 174:1198–1211CrossRef
go back to reference Wu L, Shahidehpour M, Li T (2007) Stochastic security-constrained unit commitment. IEEE Trans Power Syst 22(2):800–811CrossRef Wu L, Shahidehpour M, Li T (2007) Stochastic security-constrained unit commitment. IEEE Trans Power Syst 22(2):800–811CrossRef
go back to reference Yildirim M, Sun XA, Gebraeel NZ (2016a) Sensor-driven condition-based generator maintenance scheduling-Part I: maintenance problem. IEEE Trans Power Syst 31(6):4253–4262CrossRef Yildirim M, Sun XA, Gebraeel NZ (2016a) Sensor-driven condition-based generator maintenance scheduling-Part I: maintenance problem. IEEE Trans Power Syst 31(6):4253–4262CrossRef
go back to reference Yildirim M, Sun XA, Gebraeel NZ (2016b) Sensor-driven condition-based generator maintenance scheduling-Part II: incorporating operations. IEEE Trans Power Syst 31(6):4263–4271CrossRef Yildirim M, Sun XA, Gebraeel NZ (2016b) Sensor-driven condition-based generator maintenance scheduling-Part II: incorporating operations. IEEE Trans Power Syst 31(6):4263–4271CrossRef
go back to reference Zare V (2016) Exergoeconomic analysis with reliability and availability considerations of a nuclear energy-based combined cycle power plant. Energy 96:187–196CrossRef Zare V (2016) Exergoeconomic analysis with reliability and availability considerations of a nuclear energy-based combined cycle power plant. Energy 96:187–196CrossRef
Metadata
Title
Combining simulation and optimization to derive operating policies for a concentrating solar power plant
Authors
Jesse G. Wales
Alexander J. Zolan
William T. Hamilton
Alexandra M. Newman
Michael J. Wagner
Publication date
06-08-2022
Publisher
Springer Berlin Heidelberg
Published in
OR Spectrum / Issue 1/2023
Print ISSN: 0171-6468
Electronic ISSN: 1436-6304
DOI
https://doi.org/10.1007/s00291-022-00688-7

Other articles of this Issue 1/2023

OR Spectrum 1/2023 Go to the issue