A novel particle swarm optimization-based grey model for the prediction of warehouse performance

Warehouses constitute a key component of supply chain networks. An improvement to the operational efficiency and the productivity of warehouses is crucial for supply chain practitioners and industrial managers. Overall warehouse efficiency largely depends on synergic performance. The managers preemptively estimate the overall warehouse performance (OWP), which requires an accurate prediction of a warehouse’s key performance indicators (KPIs). This research aims to predict the KPIs of a ready-made garment (RMG) warehouse in Bangladesh with a low forecasting error in order to precisely measure OWP. Incorporating advice from experts, conducting a literature review, and accepting the limitations of data availability, this study identifies 13 KPIs. The traditional grey method (GM)—the GM (1, 1) model—is established to estimate the grey data with limited historical information but not absolute. To reduce the limitations of GM (1, 1), this paper introduces a novel particle swarm optimization (PSO)-based grey model—PSOGM (1, 1)—to predict the warehouse’s KPIs with less forecasting error. This study also uses the genetic algorithm (GA)-based grey model—GAGM (1, 1)—the discrete grey model—DGM (1, 1)—to assess the performance of the proposed model in terms of the mean absolute percentage error and other assessment metrics. The proposed model outperforms the existing grey models in projecting OWP through the forecasting of KPIs over a 5-month period. To find out the optimal parameters of the PSO and GA algorithms before combining them with the grey model, this study adopts the Taguchi design method. Finally, this study aims to help warehouse professionals make quick OWP estimations in advance to take control measures regarding warehouse productivity and efficiency.

[1]  Keith W. Hipel,et al.  Forecasting China's electricity consumption using a new grey prediction model , 2018 .

[2]  Lei Liu,et al.  Particle swarm optimization algorithm: an overview , 2017, Soft Computing.

[3]  Fatih Tüysüz,et al.  Healthcare Expenditure Prediction in Turkey by Using Genetic Algorithm Based Grey Forecasting Models , 2018 .

[4]  Zongze Wu,et al.  Optimal tracking control of flow velocity in a one-dimensional magnetohydrodynamic flow , 2019 .

[5]  V. N. Helia,et al.  Determining key performance indicators for warehouse performance measurement – a case study in construction materials warehouse , 2018 .

[6]  Rob J Hyndman,et al.  25 years of time series forecasting , 2006 .

[7]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[8]  Li Ying,et al.  Study on Optimization for Grey Forecasting Model , 2015, ICIEA 2015.

[9]  Arash Shahin,et al.  Prioritization of key performance indicators: An integration of analytical hierarchy process and goal setting , 2007 .

[10]  Daniel Podgórski,et al.  Measuring operational performance of OSH management system ??? A demonstration of AHP-based selection of leading key performance indicators , 2015 .

[11]  Ruhaidah Samsudin,et al.  A Genetic Algorithm-Based Grey Model Combined with Fourier Series for Forecasting Tourism Arrivals in Langkawi Island Malaysia , 2019, IRICT.

[12]  Sifeng Liu,et al.  Four basic models of GM(1, 1) and their suitable sequences , 2015, Grey Syst. Theory Appl..

[13]  Bo Yang,et al.  Determination of the Number of Fixture Locating Points for Sheet Metal By Grey Model , 2017 .

[14]  Zheng-Xin Wang A genetic algorithm-based grey method for forecasting food demand after snow disasters: an empirical study , 2013, Natural Hazards.

[15]  John Mylopoulos,et al.  Specification and derivation of key performance indicators for business analytics: A semantic approach , 2017, Data Knowl. Eng..

[16]  Taghi M. Khoshgoftaar,et al.  The improved grey model based on particle swarm optimization algorithm for time series prediction , 2016, Eng. Appl. Artif. Intell..

[17]  Micael S. Couceiro,et al.  Fractional Order Darwinian Particle Swarm Optimization: Applications and Evaluation of an Evolutionary Algorithm , 2015 .

[18]  Alessandro Freddi,et al.  Introduction to the Taguchi Method , 2018, Springer Tracts in Mechanical Engineering.

[19]  Steven A. Melnyk,et al.  Metrics and performance measurement in operations management: dealing with the metrics maze , 2004 .

[20]  Leon F. McGinnis,et al.  Performance measurement in the warehousing industry , 2010 .

[21]  Xuemei Li,et al.  The intelligent optimization of GM(1,1) power model and its application in the forecast of traffic accident , 2011, Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services.

[22]  Fanlin Meng,et al.  The improved GM(1,1) based on PSO with stochastic weight , 2017, 2017 International Conference on Grey Systems and Intelligent Services (GSIS).

[23]  Rui Ding,et al.  Inversion and precision estimation of earthquake fault parameters based on scaled unscented transformation and hybrid PSO/Simplex algorithm with GPS measurement data , 2020 .

[24]  Cuiping Li,et al.  The accident early warning system for iron and steel enterprises based on combination weighting and Grey Prediction Model GM (1, 1) , 2016 .

[25]  Michael N. Vrahatis,et al.  Particle Swarm Optimization and Intelligence: Advances and Applications , 2010 .

[26]  Naoufel Cheikhrouhou,et al.  Novel modifications of social engineering optimizer to solve a truck scheduling problem in a cross-docking system , 2019, Comput. Ind. Eng..

[27]  Mahdi Hasanipanah,et al.  A new developed approach for the prediction of ground vibration using a hybrid PSO-optimized ANFIS-based model , 2017, Environmental Earth Sciences.

[28]  Chia-Yon Chen,et al.  Applications of improved grey prediction model for power demand forecasting , 2003 .

[29]  M. Isazadeh,et al.  Support vector machines and feed-forward neural networks for spatial modeling of groundwater qualitative parameters , 2017, Environmental Earth Sciences.

[30]  Qian Zhang,et al.  Forecasting the number of end-of-life vehicles using a hybrid model based on grey model and artificial neural network , 2018, Journal of Cleaner Production.

[31]  Si-feng Liu,et al.  Optimization of Background Value in GM(1,1) Model , 2008 .

[32]  Francisco Ortega Fernández,et al.  Integrating Analytic Hierarchy Process (AHP) and Balanced Scorecard (BSC) Framework for Sustainable Business in a Software Factory in the Financial Sector , 2017 .

[33]  Wen-Chin Chen,et al.  Optimization of the plastic injection molding process using the Taguchi method, RSM, and hybrid GA-PSO , 2016 .

[34]  Fang Yang,et al.  APPLICATION OF GREY SYSTEM THEORY TO FORECAST THE GROWTH OF LARCH , 2009 .

[35]  Jie Cui,et al.  A novel grey forecasting model and its optimization , 2013 .

[36]  Bisher M. Iqelan Forecasts of female breast cancer referrals using grey prediction model GM(1,1) , 2017 .

[37]  Reza Tavakkoli-Moghaddam,et al.  Red deer algorithm (RDA): a new nature-inspired meta-heuristic , 2020, Soft Computing.

[38]  Jie Xia,et al.  Application of a new information priority accumulated grey model with time power to predict short-term wind turbine capacity , 2019, Journal of Cleaner Production.

[39]  Elfriede Krauth,et al.  Performance Measurement and Control in Logistics Service Providing , 2005, ICEIS.

[40]  Norizan Mohamed,et al.  An Improved GM(1,1) Model Based on Modified Background Value , 2016 .

[41]  C. Jebaraj,et al.  Injection molding process optimization of a bi-aspheric lens using hybrid artificial neural networks (ANNs) and particle swarm optimization (PSO) , 2019, Measurement.

[42]  Bo Zeng,et al.  A Hybrid Grey Prediction Model for Small Oscillation Sequence Based on Information Decomposition , 2020, Complex..

[43]  Saad Ahmed Javed,et al.  Forecasting key indicators of China's inbound and outbound tourism: optimistic-pessimistic method , 2020, Grey Syst. Theory Appl..

[44]  Nicholette D. Palmer,et al.  Novel genetic associations for blood pressure identified via gene-alcohol interaction in up to 570K individuals across multiple ancestries , 2018, PloS one.

[45]  Ning Xu,et al.  Novel grey prediction model with nonlinear optimized time response method for forecasting of electricity consumption in China , 2017 .

[46]  Xiaolu Li,et al.  Application of combined model with DGM(1, 1) and linear regression in grain yield prediction , 2017, Grey Syst. Theory Appl..

[47]  Aboul Ella Hassanien,et al.  Particle Swarm Optimization from Theory to Applications , 2018, Int. J. Rough Sets Data Anal..

[48]  Kaihua Lu,et al.  The accuracy and efficiency of GA and PSO optimization schemes on estimating reaction kinetic parameters of biomass pyrolysis , 2019, Energy.

[49]  Mohamed A. El-Sharkawi,et al.  Fundamentals of Particle Swarm Optimization Techniques , 2008 .

[50]  Oliver Kramer,et al.  Genetic Algorithm Essentials , 2017, Studies in Computational Intelligence.

[51]  Syed Mithun Ali,et al.  A grey approach to predicting healthcare performance , 2019, Measurement.

[52]  G. Neubert,et al.  A literature review on performance measures of logistics management: an intellectual capital perspective , 2018, Int. J. Prod. Res..

[53]  Ping-Lang Yen,et al.  Engineering Applications of Intelligent Monitoring and Control 2014 , 2013 .

[54]  Zheng-xin Wang,et al.  Model comparison of GM(1,1) and DGM(1,1) based on Monte-Carlo simulation , 2020 .

[55]  Zheng-Xin Wang,et al.  Modelling the nonlinear relationship between CO2 emissions and economic growth using a PSO algorithm-based grey Verhulst model , 2019, Journal of Cleaner Production.

[56]  Yan Peng,et al.  A Particle Swarm Optimization Based Grey Forecast Model of Underground Pressure for Working Surface , 2011 .

[57]  T. P. Latchoumi,et al.  Particle Swarm Optimization approach for waterjet cavitation peening , 2019, Measurement.

[58]  Mahdi Hasanipanah,et al.  Intelligent Prediction of Blasting-Induced Ground Vibration Using ANFIS Optimized by GA and PSO , 2019, Natural Resources Research.

[59]  Wenke Lu,et al.  Pre-alarm model of diesel vapour detection and alarm based on grey forecasting ☆ , 2012 .

[60]  L. Z. Wu,et al.  A new grey prediction model and its application to predicting landslide displacement , 2020, Appl. Soft Comput..

[61]  Lianhui Li,et al.  A VVWBO-BVO-based GM (1,1) and its parameter optimization by GRA-IGSA integration algorithm for annual power load forecasting , 2018, PloS one.

[62]  G. Dong,et al.  Journey to the east: Diverse routes and variable flowering times for wheat and barley en route to prehistoric China , 2017, PloS one.

[63]  Vadlamani Ravi,et al.  Forecasting financial time series volatility using Particle Swarm Optimization trained Quantile Regression Neural Network , 2017, Appl. Soft Comput..

[64]  Lee-Ing Tong,et al.  Forecasting energy consumption using a grey model improved by incorporating genetic programming , 2011 .

[65]  Haoran Zhao,et al.  Using GM (1,1) Optimized by MFO with Rolling Mechanism to Forecast the Electricity Consumption of Inner Mongolia , 2016 .

[66]  Kumru Didem Atalay,et al.  Grey Forecasting Model for CO2 Emissions of Developed Countries , 2018, Proceedings of the International Symposium for Production Research 2018.

[67]  Pinqi Xia,et al.  An improved PSO algorithm for parameter identification of nonlinear dynamic hysteretic models , 2017 .

[68]  Nik Bessis,et al.  CS-PSO: chaotic particle swarm optimization algorithm for solving combinatorial optimization problems , 2016, Soft Computing.

[69]  Bo Zeng,et al.  Modeling Method of the Grey GM(1, 1) Model with Interval Grey Action Quantity and Its Application , 2020, Complex..

[70]  Tzu-Li Tien,et al.  A new grey prediction model FGM(1, 1) , 2009, Math. Comput. Model..

[71]  Q. Wang,et al.  Forecasting China's oil consumption: A comparison of novel nonlinear-dynamic grey model (GM), linear GM, nonlinear GM and metabolism GM , 2019, Energy.

[72]  Kristo Karjust,et al.  Fuzzy AHP as a tool for prioritization of key performance indicators , 2018 .

[73]  Gülgün Alpan,et al.  Warehouse performance measurement: a literature review , 2015 .

[74]  Weimin Ma,et al.  Forecasting iron ore import and consumption of China using grey model optimized by particle swarm optimization algorithm , 2013 .

[75]  Valerie Botta-Genoulaz,et al.  Pooled warehouse management: An empirical study , 2017, Comput. Ind. Eng..

[76]  Yuhong Li,et al.  Parameter optimization of nonlinear grey Bernoulli model using particle swarm optimization , 2009, Appl. Math. Comput..

[77]  Yudong Zhang,et al.  A Comprehensive Survey on Particle Swarm Optimization Algorithm and Its Applications , 2015 .

[78]  Tao Zhang,et al.  A novel grey forecasting model and its application in forecasting the energy consumption in Shanghai , 2019, Energy Systems.

[79]  Xiaoyu Yang,et al.  Study of a discrete grey forecasting model based on the quality cost characteristic curve , 2017, Grey Syst. Theory Appl..

[80]  Ajith Abraham,et al.  Inertia Weight strategies in Particle Swarm Optimization , 2011, 2011 Third World Congress on Nature and Biologically Inspired Computing.

[81]  Beyzanur Cayir Ervural,et al.  Improvement of grey prediction models and their usage for energy demand forecasting , 2018, J. Intell. Fuzzy Syst..

[82]  Jeffrey Forrest,et al.  A brief introduction to grey systems theory , 2011, Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services.

[83]  Zhong-hua Fei,et al.  Discrete GM(1,1) model and its application for forecasting of real estate prices , 2011, MSIE 2011.

[84]  H. Awan,et al.  The key performance indicators (KPIs) and their impact on overall organizational performance , 2014 .

[85]  Qin Liu,et al.  Optimization approach of background value and initial item for improving prediction precision of GM(1,1) model , 2014 .

[86]  Kin Keung Lai,et al.  An improved grey neural network model for predicting transportation disruptions , 2016, Expert Syst. Appl..

[87]  Minggao Ouyang,et al.  A comparative study of global optimization methods for parameter identification of different equivalent circuit models for Li-ion batteries , 2019, Electrochimica Acta.

[88]  Nankun Mu,et al.  A two-layer algorithm based on PSO for solving unit commitment problem , 2019, Soft Computing.

[89]  Yi-Chung Hu,et al.  A genetic-algorithm-based remnant grey prediction model for energy demand forecasting , 2017, PloS one.

[90]  Yanxia Sun,et al.  Improved genetic algorithm based on particle swarm optimization-inspired reference point placement , 2018, Engineering Optimization.

[91]  Peng Jiang,et al.  Forecasting energy demand using neural-network-based grey residual modification models , 2017, J. Oper. Res. Soc..

[92]  Okyay Kaynak,et al.  Grey system theory-based models in time series prediction , 2010, Expert Syst. Appl..

[93]  Jeffrey Forrest,et al.  Generalized discrete GM (1, 1) model , 2011, Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services.

[94]  Reza Tavakkoli-Moghaddam,et al.  The Social Engineering Optimizer (SEO) , 2018, Eng. Appl. Artif. Intell..

[95]  E. Kusrini,et al.  Warehousing performance improvement using Frazelle Model and per group benchmarking: A case study in retail warehouse in Yogyakarta and Central Java , 2018 .

[96]  Huimin Wang,et al.  Parameter tuning of particle swarm optimization by using Taguchi method and its application to motor design , 2014, 2014 4th IEEE International Conference on Information Science and Technology.

[97]  Sifeng Liu,et al.  Predicting the research output/growth of selected countries: application of Even GM (1, 1) and NDGM models , 2017, Scientometrics.

[99]  Ahmed Tealab,et al.  Time series forecasting using artificial neural networks methodologies: A systematic review , 2018, Future Computing and Informatics Journal.

[100]  Ahmed Chiheb Ammari,et al.  An effective and distributed particle swarm optimization algorithm for flexible job-shop scheduling problem , 2015, Journal of Intelligent Manufacturing.

[101]  Maria Di Mascolo,et al.  Warehouse performance measurement: classification and mathematical expressions of indicators , 2014, ICIS 2014.

[102]  K. Wong,et al.  An integrated AHP-based scheme for performance measurement in humanitarian supply chains , 2019, International Journal of Productivity and Performance Management.

[103]  Jian Xiong,et al.  Indoor positioning system based on particle swarm optimization algorithm , 2019, Measurement.

[104]  Chun-Ying Huang,et al.  The examination of key performance indicators of warehouse operation systems based on detailed case studies , 2017 .

[105]  Shin-Li Lu,et al.  Integrating heuristic time series with modified grey forecasting for renewable energy in Taiwan , 2019, Renewable Energy.