Operations research models and methods for safety stock determination: A review

Gupta, 2003, Managing demand uncertainty in supply chain planning, Comput Chem Eng, 27, 1219, 10.1016/S0098-1354(03)00048-6 Subrahmanyam, 1994, Design of batch chemical plants under market uncertainty, Ind Eng Chem Res, 33, 2688, 10.1021/ie00035a019 Guide, 2000, A review of techniques for buffering against uncertainty with MRP systems, Prod Plann Control, 11, 223, 10.1080/095372800232199 Tang, 2006, Perspectives in supply chain risk management, Int J Prod Econ, 103, 451, 10.1016/j.ijpe.2005.12.006 Chopra, 2004, The effect of lead time uncertainty on safety stocks, Decis Sci, 35, 1, 10.1111/j.1540-5414.2004.02332.x Eruguz, 2016, A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization, Int J Prod Econ, 172, 110, 10.1016/j.ijpe.2015.11.017 Whybark, 1976, Material requirements planning under uncertainty, Decis Sci, 7, 595, 10.1111/j.1540-5915.1976.tb00704.x Boulaksil, 2016, Safety stock placement in supply chains with demand forecast updates, Oper Res. Perspect, 3, 27 Koh, 2002, Uncertainty under MRP-planned manufacture: review and categorization, Int J Prod Res, 40, 2399, 10.1080/00207540210136487 Caridi, 2002, Improving materials management effectiveness: a step towards agile enterprise, Int J Phys DistribLogist Manage, 32, 556, 10.1108/09600030210442586 Syntetos, 2016, Supply chain forecasting: theory, practice, their gap and the future, Eur J Oper Res, 252, 1, 10.1016/j.ejor.2015.11.010 Bogataj, 2016, Supply chain risk at simultaneous robust perturbations, Int J Prod Econ, 181, 68, 10.1016/j.ijpe.2015.09.009 Howells R.. Will COVID-19 change global supply chains forever?; 2020[online], [cited on 11 August 2020]. Graves, 2000, Optimizing strategic safety stock placement in supply chains, Manuf Serv Oper Manage, 2, 68, 10.1287/msom.2.1.68.23267 Schmidt, 2012, Simulation based comparison of safety-stock calculation methods, CIRP Ann-Manuf Technol, 61, 403, 10.1016/j.cirp.2012.03.054 Brown, 1963 Silver, 1998, vol. 3 Zipkin, 2000 Silver, 2016 Axsäter, 2015, vol. 225 Trapero, 2019, Quantile forecast optimal combination to enhance safety stock estimation, Int J Forecasting, 35, 239, 10.1016/j.ijforecast.2018.05.009 Tranfield, 2003, Towards a methodology for developing evidence-informed management knowledge by means of systematic review, Br J Manage, 14, 207, 10.1111/1467-8551.00375 Petticrew, 2008 Eck, 2010, Software survey: vosviewer, a computer program for bibliometric mapping, Scientometrics, 84, 523, 10.1007/s11192-009-0146-3 Fahimnia, 2015, Quantitative models for managing supply chain risks: a review, Eur J Oper Res, 247, 1, 10.1016/j.ejor.2015.04.034 Collier, 1982, Aggregate safety stock levels and component part commonality, Manage Sci, 28, 1296, 10.1287/mnsc.28.11.1296 Collier, 1981, The measurement and operating benefits of component part commonality, Decis Sci, 12, 85, 10.1111/j.1540-5915.1981.tb00063.x Kelle, 1984, On the safety stock problem for random delivery processes, Eur J Oper Res, 17, 191, 10.1016/0377-2217(84)90233-9 Kelle, 1990, Safety stock reduction by order splitting, Nav Res Logist (NRL), 37, 725, 10.1002/1520-6750(199010)37:5<725::AID-NAV3220370511>3.0.CO;2-O Dar-El, 1991, Improved strategy for service level-based safety stock determination, Prod Plann Control, 2, 116, 10.1080/09537289108919338 Vargas, 1996, Adapting lot-sizing techniques to stochastic demand through production scheduling policy, IIE Trans, 28, 141, 10.1080/07408179608966259 Gallego, 1990, Scheduling the production of several items with random demands in a single facility, Manage Sci, 36, 1579, 10.1287/mnsc.36.12.1579 Bahroun, 2019, Determination of dynamic safety stocks for cyclic production schedules, Oper Manage Res, 12, 62, 10.1007/s12063-019-00140-0 Benton, 1991, Safety stock and service levels in periodic review inventory systems, J Oper Res Soc, 42, 1087, 10.1057/jors.1991.202 Jonsson, 2019, An inherent differentiation and system level assessment approach to inventory management: a safety stock method comparison, Int J Logist Manage, 30, 663, 10.1108/IJLM-12-2017-0329 Ozbay, 2007, Stochastic humanitarian inventory control model for disaster planning, Transp Res Rec, 2022, 63, 10.3141/2022-08 Ozguven, 2012, Case study–based evaluation of stochastic multicommodity emergency inventory management model, Transp Res Rec, 2283, 12, 10.3141/2283-02 Jodlbauer, 2012, Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system, Int J Prod Econ, 136, 306, 10.1016/j.ijpe.2011.12.015 Badinelli, 1986, Optimal safety-stock investment through subjective evaluation of stockout costs, Decis Sci, 17, 312, 10.1111/j.1540-5915.1986.tb00229.x Braglia, 2016, A novel approach to safety stock management in a coordinated supply chain with controllable lead time using present value, Appl Stochastic Models Bus Ind, 32, 99, 10.1002/asmb.2126 Wangsa, 2018, An integrated vendor–buyer inventory model with transportation cost and stochastic demand, Int J Syst Sci, 5, 295 Agrell, 1995, A multicriteria framework for inventory control, Int J Prod Econ, 41, 59, 10.1016/0925-5273(94)00054-9 Tsou, 2008, Multi-objective inventory control using electromagnetism-like meta-heuristic, Int J Prod Res, 46, 3859, 10.1080/00207540601182278 Tsou, 2008, Multi-objective inventory planning using MOPSO and TOPSIS, Expert Syst Appl, 35, 136, 10.1016/j.eswa.2007.06.009 Tsou, 2009, Evolutionary Pareto optimizers for continuous review stochastic inventory systems, Eur J Oper Res, 195, 364, 10.1016/j.ejor.2008.02.039 Cheng, 2015, Cost-service tradeoff analysis of reorder-point-lot-size inventory models, J Manuf Syst, 37, 217, 10.1016/j.jmsy.2014.11.008 Srivastav, 2016, Multi-objective optimization of hybrid backorder inventory model, Expert Syst Appl, 51, 76, 10.1016/j.eswa.2015.12.032 Srivastav, 2017, Multi-objective optimization of a mixture inventory system using a MOPSO–TOPSIS hybrid approach, Trans Inst MeasControl, 39, 555, 10.1177/0142331215611211 Alstrøm, 2001, Numerical computation of inventory policies, based on the EOQ/σx value for order-point systems, Int J Prod Econ, 71, 235, 10.1016/S0925-5273(00)00122-5 Hayya, 2009, A solution for the intractable inventory model when both demand and lead time are stochastic, Int J Prod Econ, 122, 595, 10.1016/j.ijpe.2009.06.001 Brander, 2006, Determination of safety stocks for cyclic schedules with stochastic demands, Int J Prod Econ, 104, 271, 10.1016/j.ijpe.2004.11.009 Man-Yi, 2006, The further study of safety stock under uncertain environment, Fuzzy Optim Decis Making, 5, 193, 10.1007/s10700-006-7337-7 Disney, 2016, Inventory management for stochastic lead times with order crossovers, Eur J Oper Res, 248, 473, 10.1016/j.ejor.2015.07.047 Inderfurth, 2013, Concepts for safety stock determination under stochastic demand and different types of random production yield, Eur J Oper Res, 224, 293, 10.1016/j.ejor.2012.07.040 Inderfurth, 2009, How to protect against demand and yield risks in MRP systems, Int J Prod Econ, 121, 474, 10.1016/j.ijpe.2007.02.005 Lu, 2016, Construction material safety-stock determination under nonstationary stochastic demand and random supply yield, IEEE Trans Eng Manage, 63, 201, 10.1109/TEM.2016.2536146 Hsueh, 2011, An inventory control model with consideration of remanufacturing and product life cycle, Int J Prod Econ, 133, 645, 10.1016/j.ijpe.2011.05.007 Charnes, 1995, Safety stock determination with serially correlated demand in a periodic-review inventory system, J Oper Res Soc, 46, 1006, 10.1057/jors.1995.137 Kumar, 2015, Setting safety stock based on imprecise records, Int J Prod Econ, 169, 68, 10.1016/j.ijpe.2015.07.018 Eppen, 1988, Determining safety stock in the presence of stochastic lead time and demand, Manage Sci, 34, 1380, 10.1287/mnsc.34.11.1380 Ruiz-Torres, 2010, Safety stock determination based on parametric lead time and demand information, Int J Prod Res, 48, 2841, 10.1080/00207540902795299 Mertins, 1999, Inventory safety stocks of kanban control systems, Prod Plann Control, 10, 520, 10.1080/095372899232812 Trapero, 2019, Empirical safety stock estimation based on kernel and GARCH models, Omega, 84, 199, 10.1016/j.omega.2018.05.004 Fotopoulos, 1988, Safety stock determination with correlated demands and arbitrary lead times, Eur J Oper Res, 35, 172, 10.1016/0377-2217(88)90026-4 Boute, 2014, Coordinating lead times and safety stocks under autocorrelated demand, Eur J Oper Res, 232, 52, 10.1016/j.ejor.2013.06.036 Buffa, 1977, A model for allocating limited resources when making safety-stock decisions, Decis Sci, 8, 415, 10.1111/j.1540-5915.1977.tb01092.x Potamianos, 1997, Modelling for a dynamic inventory-production control system, Eur J Oper Res, 96, 645, 10.1016/0377-2217(95)00256-1 Reichhart, 2008, On the link between inventory and responsiveness in multi-product supply chains, Int J Syst Sci, 39, 677, 10.1080/00207720802090856 Hsu, 2001, Possibilistic programming in production planning of assemble-to-order environments, Fuzzy Sets Syst, 119, 59, 10.1016/S0165-0114(99)00086-X Wacker, 1985, A theory of material requirements planning (MRP): an empirical methodology to reduce uncertainty in MRP systems, Int J Prod Res, 23, 807, 10.1080/00207548508904749 Campbell, 1995, Establishing safety stocks for master production schedules, Prod Plann Control, 6, 404, 10.1080/09537289508930297 Zhao, 2001, Evaluation of safety stock methods in multilevel material requirements planning (MRP) systems, Prod Plann Control, 12, 794, 10.1080/095372800110052511 Beutel, 2012, Safety stock planning under causal demand forecasting, Int J Prod Econ, 140, 637, 10.1016/j.ijpe.2011.04.017 Kanet, 2010, Dynamic planned safety stocks in supply networks, Int J Prod Res, 48, 6859, 10.1080/00207540903341887 Helber, 2013, Dynamic capacitated lot sizing with random demand and dynamic safety stocks, OR Spectr, 35, 75, 10.1007/s00291-012-0283-6 Abdel-Malek, 2005, A framework for comparing outsourcing strategies in multi-layered supply chains, Int J Prod Econ, 97, 318, 10.1016/j.ijpe.2004.09.001 Lian, 2006, The optimal frozen period in a dynamic production model, Int J Prod Econ, 103, 648, 10.1016/j.ijpe.2005.12.005 Carlson, 1986, Safety stocks in MRP-systems with emergency setups for components, Manage Sci, 32, 403, 10.1287/mnsc.32.4.403 Yano, 1987, Interaction between frequency of rescheduling and the role of safety stock in material requirements planning systems, Int J Prod Res, 25, 221, 10.1080/00207548708919835 Grubbström, 1998, A net present value approach to safety stocks in planned production, Int J Prod Econ, 56, 213, 10.1016/S0925-5273(97)00094-7 Grubbström, 1999, A net present value approach to safety stocks in a multi-level MRP system, Int J Prod Econ, 59, 361, 10.1016/S0925-5273(98)00016-4 Molinder, 1997, Joint optimization of lot-sizes, safety stocks and safety lead times in an MRP system, Int J Prod Res, 35, 983, 10.1080/002075497195498 Persona, 2007, Optimal safety stock levels of subassemblies and manufacturing components, Int J Prod Econ, 110, 147, 10.1016/j.ijpe.2007.02.020 Ness, 1983, Reorder-point models with discrete probability distributions, Decis Sci, 14, 363, 10.1111/j.1540-5915.1983.tb00191.x Veen, 1984, Safety stocks and the paradox of the empty period, Eur J Oper Res, 16, 19, 10.1016/0377-2217(84)90310-2 Groenevelt, 1992, Production batching with machine breakdowns and safety stocks, Oper Res, 40, 959, 10.1287/opre.40.5.959 Glasserman, 1997, Bounds and asymptotics for planning critical safety stocks, Oper Res, 45, 244, 10.1287/opre.45.2.244 Cheung, 1997, Joint determination of preventive maintenance and safety stocks in an unreliable production environment, Nav Res Logist (NRL), 44, 257, 10.1002/(SICI)1520-6750(199704)44:3<257::AID-NAV2>3.0.CO;2-7 Hung, 1999, Determining safety stocks for production planning in uncertain manufacturing, Int J Prod Econ, 58, 199, 10.1016/S0925-5273(98)00124-8 Dohi, 2001, Optimal control of preventive maintenance schedule and safety stocks in an unreliable manufacturing environment, Int J Prod Econ, 74, 147, 10.1016/S0925-5273(01)00121-9 Martinelli, 2004, Hedging point policies remain optimal under limited backlog and inventory space, IEEE Trans Autom Control, 49, 1863, 10.1109/TAC.2004.835592 Gharbi, 2007, Optimal safety stocks and preventive maintenance periods in unreliable manufacturing systems, Int J Prod Econ, 107, 422, 10.1016/j.ijpe.2006.09.018 Wang, 2010, Sizing inventory when lead time and demand are correlated, Prod Oper Manage, 19, 480, 10.1111/j.1937-5956.2009.01109.x Sarkar, 2010, Optimal reliability, production lotsize and safety stock: an economic manufacturing quantity model, Int J Manage SciEng Manage, 5, 192 Sana, 2010, An EMQ model in an imperfect production process, Int J Syst Sci, 41, 635, 10.1080/00207720903144495 Hayya, 2010, A mirror-image lead time inventory model, Int J Prod Res, 48, 4483, 10.1080/00207540802616843 Zhou, 2011, Comparison of a new bootstrapping method with parametric approaches for safety stock determination in service parts inventory systems, Int J Prod Econ, 133, 481, 10.1016/j.ijpe.2010.09.021 Chakraborty, 2012, Joint determination of optimal safety stocks and production policy for an imperfect production system, Appl Math Modell, 36, 712, 10.1016/j.apm.2011.07.012 Donselaar, 2013, Determination of safety stocks in a lost sales inventory system with periodic review, positive lead-time, lot-sizing and a target fill rate, Int J Prod Econ, 143, 440, 10.1016/j.ijpe.2011.05.020 Chaturvedi, 2016, Safety stock, excess capacity or diversification: trade-offs under supply and demand uncertainty, Prod Oper Manage, 25, 77, 10.1111/poms.12406 Manzini, 2016, Weibull vs. normal distribution of demand to determine the safety stock level when using the continuous-review (S, s) model without backlogs, Int J Logist SystManage, 24, 298 Huang, 2016, Supply chain planning for random demand surges: Reactive capacity and safety stock, Manuf Serv Oper Manage, 18, 509, 10.1287/msom.2016.0583 Caceres, 2018, Evaluating shortfall distributions in periodic inventory systems with stochastic endogenous demands and lead-times, Ann Oper Res, 1 Altendorfer, 2019, Effect of limited capacity on optimal planning parameters for a multi-item production system with setup times and advance demand information, Int J Prod Res, 57, 1892, 10.1080/00207543.2018.1511925 Bourland, 1994, The strategic use of capacity slack in the economic lot scheduling problem with random demand, Manage Sci, 40, 1690, 10.1287/mnsc.40.12.1690 Maia, 1999, Minimum cost safety stocks for frequent delivery manufacturing, Int J Prod Econ, 62, 233, 10.1016/S0925-5273(98)00242-4 Louly, 2009, Calculating safety stocks for assembly systems with random component procurement lead times: a branch and bound algorithm, Eur J Oper Res, 199, 723, 10.1016/j.ejor.2007.11.066 Teimoury, 2010, A queueing approach to production-inventory planning for supply chain with uncertain demands: case study of PAKSHOO chemicals company, J Manuf Syst, 29, 55, 10.1016/j.jmsy.2010.08.003 Janssens, 2011, A linear programming formulation for an inventory management decision problem with a service constraint, Expert Syst Appl, 38, 7929, 10.1016/j.eswa.2010.12.009 Taleizadeh, 2011, Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: a harmony search algorithm, Appl Math Comput, 217, 9234, 10.1016/j.amc.2011.04.001 Rappold, 2014, Setting safety stocks for stable rotation cycle schedules, Int J Prod Econ, 156, 146, 10.1016/j.ijpe.2014.05.020 Keskin, 2015, A comparative study of production–inventory model for determining effective production quantity and safety stock level, Appl Math Modell, 39, 6359, 10.1016/j.apm.2015.01.037 Rafiei, 2015, Dynamic safety stock in co-production demand-driven wood remanufacturing mills: a case study, Int J Prod Econ, 165, 90, 10.1016/j.ijpe.2015.03.024 Ben-Ammar, 2019, Optimization of multi-period supply planning under stochastic lead times and a dynamic demand, Int J Prod Econ, 218, 106, 10.1016/j.ijpe.2019.05.003 Bouslah, 2014, Joint production and quality control of unreliable batch manufacturing systems with rectifying inspection, Int J Prod Res, 52, 4103, 10.1080/00207543.2012.746481 Gansterer, 2014, Simulation-based optimization methods for setting production planning parameters, Int J Prod Econ, 151, 206, 10.1016/j.ijpe.2013.10.016 Avci, 2017, A multi-objective, simulation-based optimization framework for supply chains with premium freights, Expert Syst Appl, 67, 95, 10.1016/j.eswa.2016.09.034 Avci, 2018, A multi-objective simulation-based optimization approach for inventory replenishment problem with premium freights in convergent supply chains, Omega, 80, 153, 10.1016/j.omega.2017.08.016 Benbitour, 2019, The use of rush deliveries in periodic review assemble-to-order systems, Int J Prod Res, 57, 4078, 10.1080/00207543.2018.1505059 Zhang, 2017, A distributed configuration scheme for warehouse product service system, Advances in Mechanical Engineering, 9, 10.1177/1687814017706434 Figueira, 2014, Hybrid simulation–optimization methods: a taxonomy and discussion, Simul Modell Pract Theory, 46, 118, 10.1016/j.simpat.2014.03.007 Kourentzes, 2014, Neural network ensemble operators for time series forecasting, Expert Syst Appl, 41, 4235, 10.1016/j.eswa.2013.12.011 Kuo, 2010, Integration of artificial neural network and MADA methods for green supplier selection, J Clean Prod, 18, 1161, 10.1016/j.jclepro.2010.03.020 McKelvey, 2009, Designing an electronic auction market for complex ‘smart parts’ logistics: options based on LeBaron’s computational stock market, Int J Prod Econ, 120, 476, 10.1016/j.ijpe.2009.03.006 Brintrup, 2020, Supply chain data analytics for predicting supplier disruptions: a case study in complex asset manufacturing, Int J Prod Res, 58, 3330, 10.1080/00207543.2019.1685705 Roßmann, 2018, The future and social impact of big data analytics in supply chain management: results from a delphi study, Technol Forecasting Social Change, 130, 135, 10.1016/j.techfore.2017.10.005