Abstract
Demand forecasting is a scientific and methodical assessment of future demand for a critical product.The effective Demand Forecast Model (DFM) enables pharmaceutical companies to be successful in the global market. The purpose of this research paper is to validate various shallow and deep neural network methods for demand forecasting, with the aim of recommending sales and marketing strategies based on the trend/seasonal effects of eight different groups of pharmaceutical products with different characteristics. The root mean squared error (RMSE) is used as the predictive accuracy of DFMs. This study also found that the mean RMSE value of the shallow neural network-based DFMs was 6.27 for all drug categories, which was lower than deep neural network models. According to the findings, DFMs based on shallow neural networks can effectively estimate future demand for pharmaceutical products.







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The datasets analysed during the current study are available on the kaggle website. These datasets were derived from the following public domain resources: https://www.kaggle.com/milanzdravkovic/pharma-sales-data-analysis-and-forecasting/data
References
Zadeh NK, Sepehri MM, Farvaresh H (2014) Intelligent sales prediction for pharmaceutical distribution companies: a data mining based approach. Math Probl Eng 2014:1–15. https://doi.org/10.1155/2014/420310
Hofmann E, Rutschmann E (2018) Big data analytics and demand forecasting in supply chains: a conceptual analysis. Int J Logist Manag 29:739–766. https://doi.org/10.1108/ijlm-04-2017-0088
Anirudh A (2020) Mathematical modeling and the transmission dynamics in predicting the Covid-19 - what next in combating the pandemic. Infect Dis Model 5:366–374. https://doi.org/10.1016/j.idm.2020.06.002
Alguliyev RM, Aliguliyev RM, Sukhostat LV (2020) Efficient algorithm for big data clustering on single machine. CAAI Trans Intell Technol 5(1):9–14. https://doi.org/10.1049/trit.2019.0048
Chen Z, Zhao B, Wang Y et al (2020) Multitask learning and GCN-based taxi demand prediction for a traffic road network. Sensors 20:3776. https://doi.org/10.3390/s20133776
Wang L, Zou H, Su J et al (2013) An ARIMA-ANN hybrid model for time series forecasting. Syst Res Behav Sci 30:244–259. https://doi.org/10.1002/sres.2179
Alpaslan F, Eğrioğlu E, AladağÇH TE (2012) An statistical research on feed forward neural networks for forecasting time series. Am J Intell Syst 2:21–25. https://doi.org/10.5923/j.ajis.20120203.02
Yu L, Wang S, Lai K (2005) A novel nonlinear ensemble forecasting model incorporating GLAR and ANN for foreign exchange rates. Comput Oper Res 32:2523–2541. https://doi.org/10.1016/j.cor.2004.06.024
Chen Y, Shen L, Li R et al (2020) Quantification of interfacial energies associated with membrane fouling in a membrane bioreactor by using BP and GRNN artificial neural networks. J Colloid Interface Sci 565:1–10. https://doi.org/10.1016/j.jcis.2020.01.003
Azar AT, Bastan M, Habibifar N, Hamid M (2019) Performance optimisation of a pharmaceutical production line by integrated simulation and data envelopment analysis. Int J Simul Process Model 14:360. https://doi.org/10.1504/ijspm.2019.10025218
Carrasco R, Vargas M, Soto I, Fuertes G, Alfaro M (2015) Copper metal price using chaotic time series forecasting. IEEE Lat Am Trans 13(6):1961–1965. https://doi.org/10.1109/tla.2015.7164223
Muralitharan K, Sakthivel R, Vishnuvarthan R (2018) Neural network based optimization approach for energy demand prediction in smart grid. Neurocomputing 273:199–208. https://doi.org/10.1016/j.neucom.2017.08.017
PereaRG PEC, Montesinos P, Díaz JAR (2019) Optimisation of water demand forecasting by artificial intelligence with short data sets. Biosys Eng 177:59–66. https://doi.org/10.1016/j.biosystemseng.2018.03.011
Barak S, Sadegh SS (2016) Forecasting energy consumption using ensemble ARIMA–ANFIS hybrid algorithm. Int J Electr Power Energy Syst 82:92–104. https://doi.org/10.1016/j.ijepes.2016.03.012
Candan G, Taskin M, Yazgan HR (2014) Demand forecasting in pharmaceutical industry using neuro-fuzzy approach. J Mil Inf Sci 2:41. https://doi.org/10.17858/jmisci.06816
Bandara K, Shi P, Bergmeir C et al (2019) Sales demand forecast in e-commerce using a long short-term memory neural network methodology. Neural Inf Process Lect Note Comput Sci. https://doi.org/10.1007/978-3-030-36718-3_39
Silva CFD, Almeida T, Barbosa RDM et al (2020) New trends in drug delivery systems for veterinary applications. Pharm Nanotechnol. https://doi.org/10.2174/2211738508666200613214548
Tian C, Ma J, Zhang C, Zhan P (2018) A deep neural network model for short-term load forecast based on long short-term memory network and convolutional neural network. Energies 11:3493. https://doi.org/10.3390/en11123493
Rahman M, Islam D, Mukti RJ, Saha I (2020) A deep learning approach based on convolutional LSTM for detecting diabetes. Comput Biol Chem 88:107329. https://doi.org/10.1016/j.compbiolchem.2020.107329
Abbasimehr H, Shabani M, Yousefi M (2020) An optimized model using LSTM network for demand forecasting. Comput Ind Eng 143:106435. https://doi.org/10.1016/j.cie.2020.106435
Lakshmanan B, Raja PSNV, Kalathiappan V (2020) Sales demand forecasting using LSTM network. Adv Intell Syst Comput Artif Intell Evolut Comput Eng Syst. https://doi.org/10.1007/978-981-15-0199-9_11
Kuo R, Wu P, Wang C (2002) An intelligent sales forecasting system through integration of artificial neural networks and fuzzy neural networks with fuzzy weight elimination. Neural Netw 15:909–925. https://doi.org/10.1016/s0893-6080(02)00064-3
Aladag CH, Egrioglu E, Kadilar C (2012) Improvement in forecasting accuracy using the hybrid model of ARFIMA and feed forward neural network. Am J Int Syst 2:12–17. https://doi.org/10.5923/j.ajis.20120202.02
Kumar M, Thenmozhi M (2014) Forecasting stock index returns using ARIMA-SVM, ARIMA-ANN, and ARIMA-random forest hybrid models. Int J Bank Acc Financ 5:284. https://doi.org/10.1504/ijbaaf.2014.064307
Takahashi Y, Aida H, Saito T (2000) ARIMA model's superiority over f-ARIMA model. In: WCC 2000 - ICCT 2000 international conference on communication technology proceedings (Cat No00EX420). https://doi.org/10.1109/icct.2000.889171
Mohammed NA, Al-Bazi A (2021) An adaptive backpropagation algorithm for long-term electricity load forecasting. Neural Comput Appl. https://doi.org/10.1007/s00521-021-06384-x
Livieris IE, Pintelas E, Pintelas P (2020) A CNN–LSTM model for gold price time-series forecasting. Neural Comput Appl 32(23):17351–17360. https://doi.org/10.1007/s00521-020-04867-x
Oliveira DD, Rampinelli M, Tozatto GZ, Andreão RV, Müller SM (2021) Forecasting vehicular traffic flow using MLP and LSTM. Neural Comput Appl 33(24):17245–17256. https://doi.org/10.1007/s00521-021-06315-w
Hamzaçebi C, Es HA, Çakmak R (2017) Forecasting of Turkey’s monthly electricity demand by seasonal artificial neural network. Neural Comput Appl 31(7):2217–2231. https://doi.org/10.1007/s00521-017-3183-5
Kanavos A, Kounelis F, Iliadis L, Makris C (2021) Deep learning models for forecasting aviation demand time series. Neural Comput Appl 33(23):16329–16343. https://doi.org/10.1007/s00521-021-06232-y
Hu Z, Zhao Q, Wang J (2018) The prediction model of worsted yarn quality based on CNN–GRNN neural network. Neural Comput Appl 31(9):4551–4562. https://doi.org/10.1007/s00521-018-3723-7
Merkuryeva G, Valberga A, Smirnov A (2019) Demand forecasting in pharmaceutical supply chains: a case study. Procedia Comput Sci 149:3–10. https://doi.org/10.1016/j.procs.2019.01.100
Thomson ME, Pollock AC, Önkal D, Gönül MS (2019) Combining forecasts: performance and coherence. Int J Forecast 35(2):474–484. https://doi.org/10.1016/j.ijforecast.2018.10.006
Nikolopoulos K, Buxton S, Khammash M, Stern P (2016) Forecasting branded and generic pharmaceuticals. Int J Forecast 32(2):344–357. https://doi.org/10.1016/j.ijforecast.2015.08.001
Siddiqui R, Azmat M, Ahmed S, Kummer S (2021) A hybrid demand forecasting model for greater forecasting accuracy: the case of the pharmaceutical industry. Supply Chain Forum Int J. https://doi.org/10.1080/16258312.2021.1967081
Tayyab M, Zhou J, Zeng X, Adnan R (2016) Discharge forecasting by applying artificial neural networks at the Jinsha river basin, China. Eur Sci J ESJ 12(9):108. https://doi.org/10.19044/esj.2016.v12n9p108
Sun Y, Lang M, Wang D, Liu L (2014) A PSO-GRNN model for railway freight volume prediction: empirical study from China. J Ind Eng Manag. https://doi.org/10.3926/jiem.1007
Ustaoglu B, Cigizoglu HK, Karaca M (2008) Forecast of daily mean, maximum and minimum temperature time series by three artificial neural network methods. Meteorol Appl 15(4):431–445. https://doi.org/10.1002/met.83
Cifuentes J, Marulanda G, Bello A, Reneses J (2020) Air temperature forecasting using machine learning techniques: a review. Energies 13(16):4215. https://doi.org/10.3390/en13164215
Nayak SC, Misra BB (2018) Estimating stock closing indices using a GA-weighted condensed polynomial neural network. Financ Innov. https://doi.org/10.1186/s40854-018-0104-2
Li L, Xu Y, Yan L et al (2020) A regional NWP tropospheric delay inversion method based on a general regression neural network model. Sensors 20:3167. https://doi.org/10.3390/s20113167
Ai S, Chakravorty A, Rong C (2019) Household power demand prediction using evolutionary ensemble neural network pool with multiple network structures. Sensors 19:721. https://doi.org/10.3390/s19030721
Ng WW, Xu S, Wang T et al (2020) Radial basis function neural network with localized stochastic-sensitive autoencoder for home-based activity recognition. Sensors 20:1479. https://doi.org/10.3390/s20051479
Chao Z, Kim H-J (2019) Removal of computed tomography ring artifacts via radial basis function artificial neural networks. Phys Med Biol 64:235015. https://doi.org/10.1088/1361-6560/ab5035
Yu Q, Hou Z, Bu X, Yu Q (2020) RBFNN-based data-driven predictive iterative learning control for nonaffine nonlinear systems. IEEE Trans Neural Netw Learn Syst 31:1170–1182. https://doi.org/10.1109/tnnls.2019.2919441
Qiu R, Wang Y, Wang D et al (2020) Water temperature forecasting based on modified artificial neural network methods: two cases of the Yangtze River. Sci Total Environ 737:139729. https://doi.org/10.1016/j.scitotenv.2020.139729
Foroughi M, Azqhandi MHA, Kakhki S (2020) Bio-inspired, high, and fast adsorption of tetracycline from aqueous media using Fe3O4–g–CN@PEI–β–CD nanocomposite: modeling by response surface methodology (RSM), boosted regression tree (BRT), and general regression neural network (GRNN). J Hazard Mater 388:121769. https://doi.org/10.1016/j.jhazmat.2019.121769
Tkachenko R, Izonin I, Kryvinska N et al (2020) An approach towards increasing prediction accuracy for the recovery of missing IoT data based on the GRNN-SGTM ensemble. Sensors 20:2625. https://doi.org/10.3390/s20092625
Chu W-L, Lin C-J, Kao K-C (2019) Fault diagnosis of a rotor and ball-bearing system using DWT integrated with SVM, GRNN, and visual dot patterns. Sensors 19:4806. https://doi.org/10.3390/s19214806
Xie H, Li G, Zhao X, Li F (2020) Prediction of limb joint angles based on multi-source signals by GS-GRNN for exoskeleton wearer. Sensors 20:1104. https://doi.org/10.3390/s20041104
Baliarsingh SK, Vipsita S, Gandomi AH et al (2020) Analysis of high-dimensional genomic data using map reduce based probabilistic neural network. Comput Method Program Biomed 195:105625. https://doi.org/10.1016/j.cmpb.2020.105625
Hochreiter S, Schmidhuber J (1997) Long short-term memory. Neural Comput 9(8):1735–1780
Li D, Lin C, Gao W et al (2020) Short-term rental forecast of urban public bicycle based on the HOSVD-LSTM model in smart city. Sensors 20:3072. https://doi.org/10.3390/s20113072
Khan ZA, Hussain T, Ullah A et al (2020) Towards efficient electricity forecasting in residential and commercial buildings: a novel hybrid CNN with a LSTM-AE based framework. Sensors 20:1399. https://doi.org/10.3390/s20051399
MilanzdravKovic (2020) Pharma sales data analysis and forecasting. Available: https://www.kaggle.com/milanzdravkovic/pharma-sales-data-analysis-and-forecasting/data
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Rathipriya, R., Abdul Rahman, A.A., Dhamodharavadhani, S. et al. Demand forecasting model for time-series pharmaceutical data using shallow and deep neural network model. Neural Comput & Applic 35, 1945–1957 (2023). https://doi.org/10.1007/s00521-022-07889-9
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DOI: https://doi.org/10.1007/s00521-022-07889-9