A Mathematical Model to Evaluate Time, Cost and Customer Satisfaction in Omni-Channel Distribution

Document Type : Research Paper

Authors

1 Department of Industrial Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

2 Department of Industrial Engineering, Khatam University, Tehran, Iran

Abstract

Today, upon the higher internet usage and the Covid-19 pandemic, the use of omni-channel distribution has experienced significant growth. The shopping experience in omni-channel distributions is influenced by the physical environment of the buyer, delivery time, and the cost of production to distribution of the goods which have a significant impact on customer loyalty and customer satisfaction. The lack of comprehensive studies in this field, and the number of constant variables in most of the available studies in the literature, especially uncertainty-laden demand, illustrate the significance of this study. After a related literature review and experts’ interviews, based on omni-channel Approach, all important factors influencing time, cost, and customer satisfaction have been included within a multi-objective mathematical model. Thus, defining constraints and decision variables, the objective functions have been solved within two new meta-heuristic algorithms, namely MOGWO and NSGA-II. Besides, these algorithms have been validated using NPS, DM, MID, and SNS indices. Upon comparing the outputs of these two algorithms and inserting 30 numerical instances, it has been shown that the MOGWO method has a stronger Pareto frontier and organized scattering for Pareto solutions. However, averagely, the NSGA-II algorithm produces fewer and more values compared with the first and second objectives, respectively.

Keywords


Abdulkader, M. M. S., Gajpal, Y., and ElMekkawy, T. Y., (2018). Vehicle routing problem in omni-channel retailing distribution systems. International Journal of Production Economics, Vol. 196, pp. 43-55.
Ailawadi, K. L., and Farris, P. W. (2017). Managing multi-and omni-channel distribution: metrics and research directions. Journal of retailing, Vol. 93(1), pp. 120-135.
Akter, S., Hossain, M. I., Lu, S., Aditya, S., Hossain, T. M. T., and Kattiyapornpong, U. (2019). Does service quality perception in Omni-channel retailing matter? A systematic review and agenda for future research. In Exploring Omni-channel Retailing (pp. 71-97). Springer, Cham.
Badhotiya, G. K., Soni, G., and Mittal, M. L. (2019). Fuzzy multi-objective optimization for multi-site integrated production and distribution planning in two echelon supply chain. The International Journal of Advanced Manufacturing Technology, Vol. Vol. 102(1-4), pp.  635-645.
Bashokouh, M., Alipour, V. (2013). The Coordination of multi-channels of distribution and effects on suppliers' performance in electronic industry with the social exchange approach. Journal of Public Administration, Vol. 5(3), pp.  1-22. doi: 10.22059/jipa.2013.50077
Bala, B. K., Arshad, F. M., and Noh, K. M. (2017). System dynamics. Springer Texts in Business and Economics
Beck, N., & Rygl, D. (2015). Categorization of multiple channel retailing in Multi-, Cross-, and Omni‐Channel Retailing for retailers and retailing. Journal of Retailing and Consumer Services, Vol. 27, pp. 170-178.
Bernon, M., Cullen, J., and Gorst, J. (2016). Online retail returns management: integration within an omni-channel distribution context. International Journal of Physical Distribution & Logistics Management, Vol. 46(6/7), pp. 584-605.
Cummins, S., Peltier, J. W., and Dixon, A. (2016). Omni-channel research framework in the context of personal selling and sales management: a review and research extensions. Journal of Research in Interactive Marketing, Vol. 10(1), pp. 2-16.
De Carvalho, J. L. G., and Campomar, M. C. (2014). Multichannel at retail and omni-channel: Challenges for Marketing and Logistics. Business and Management Review, Vol. 4(3), pp. 103-113.
Galipoglu, E., Kotzab, H., Teller, C., Yumurtaci Hüseyinoglu, I. Ö., and Pöppelbuß, J. (2018). Omni-channel retailing research–state of the art and intellectual foundation. International Journal of Physical Distribution & Logistics Management, Vol. 48(4), pp. 365-390.
Gawor, T., and Hoberg, K. (2018). Customers’ valuation of time and convenience in e-fulfillment. International Journal of Physical Distribution & Logistics Management, Vol. 49(1), pp. 75-98.
Hansen, R., and Sia, S. K. (2015). Hummel's Digital Transformation toward Omni-channel Retailing: Key Lessons Learned. MIS Quarterly Executive, Vol. 14(2), pp. 51-66.
Hagberg, J., Sundstrom, M., and Egels-Zandén, N. (2016). The digitalization of retailing: an exploratory framework. International Journal of Retail & Distribution Management, Vol. 44(7), pp. 694-712.
Hendalianpour, A. (2020). Optimal lot size and Price of Perishable Goods: A novel Game-Theoretic Model using Double Interval Grey Numbers. Computers & Industrial Engineering, Vol. 149, 106780.
Hendalianpour, A., Fakhrabadi, M., Sangari, M. S., and Razmi, J. (2020). A Combined Benders Decomposition and Lagrangian Relaxation Algorithm for Optimizing a Multi-Product, Multi-Level Omni-Channel Distribution System. Scientia Iranica. https://doi.org/10.24200/sci.2020.53644.3349
Hendalianpour, A., Fakhrabadi, M., Zhang, X., Feylizadeh, M. R., Gheisari, M., Liu, P., and Ashktorab, N. (2019). Hybrid Model of IVFRN-BWM and Robust Goal Programming in Agile and Flexible Supply Chain, a Case Study: Automobile Industry. IEEE Access, Vol. 7, pp. 71481-71492.
Hosseini, S., Merz, M., Röglinger, M., and Wenninger, A., Mindfully going omni-channel: An economic decision model for evaluating omni-channel strategies. Decision Support Systems, 2018, Vol. 7, pp. 39-53.
Hosseinzadeh, A., Esmaili, H., Soltani, R. (2021). Providing a System Dynamics Model to Evaluate Time, Cost, and Customer Satisfaction in Omni-Channel Distribution: A Case Study. Iranian Journal of Management Studies, Vol. 14(2), pp. 291-310. doi: 10.22059/ijms.2020.295013.673905
Hübner, A., Kuhn, H., and Wollenburg, J. (2016). Last mile fulfillment and distribution in omni-channel grocery retailing: A strategic planning framework. International Journal of Retail & Distribution Management, Vol. 44(3), pp. 228-247.
Hübner, A., Wollenburg, J., and Holzapfel, A. (2016). Retail logistics in the transition from multi-channel to omni-channel. International Journal of Physical Distribution & Logistics Management, Vol. 46(6/7), pp. 562-583.
Huré, E., Picot-Coupey, K., and Ackermann, C. L. (2017). Understanding omni-channel shopping value: A mixed-method study. Journal of Retailing and Consumer Services, Vol. 39, pp. 314-330.
Ishfaq, R., Defee, C. C., Gibson, B. J., and Raja, U. (2016). Realignment of the physical distribution process in omni-channel fulfillment. International Journal of Physical Distribution & Logistics Management, Vol. 46(6/7), pp. 543-561.
Jensen, E. (2018). Omni Channel Retailing in Large Size Businesses: An Exploratory Case Study of a Swedish Fast Fashion Retailer. http://lup.lub.lu.se/student-papers/record/8957546
Kang, J. Y. M. (2019). What drives Omni-channel shopping behaviors? Fashion lifestyle of social-local-mobile consumers. Journal of Fashion Marketing and Management: An International Journal, Vol. 23, pp. 224-238.
Kembro, J. H., Norrman, A., and Eriksson, E. (2018). Adapting warehouse operations and design to omni-channel logistics: A literature review and research agenda. International Journal of Physical Distribution & Logistics Management, Vol. 48(9), pp. 890-912.
Kim, J. C., and Chun, S. H. (2018). Cannibalization and competition effects on a manufacturer's retail channel strategies: Implications on an Omni-channel business model. Decision Support Systems, Vol. 109, pp. 5-14.
Li, Q., Luo, H., Xie, P. X., Feng, X. Q., and Du, R. Y. (2015). Product whole life-cycle and omni-channels data convergence-oriented enterprise networks integration in a sensing environment. Computers in Industry, Vol. 70, pp. 23-45.
Lim, S. F. W., Jin, X., and Srai, J. S. (2018). Consumer-driven e-commerce: A literature review, design framework, and research agenda on last-mile logistics models. International Journal of Physical Distribution & Logistics Management, Vol. 48(3), pp. 308-332.
Liu, P., Hendalianpour, A., and Hamzehlou, M. Pricing model of two-echelon supply chain for substitutable products based on double-interval grey-numbers. Journal of Intelligent & Fuzzy Systems, (Preprint), Vol. 40(5), 1-23.
Liu, P., Hendalianpour, A., Razmi, J., and Sangari, M. S. (2021). A solution algorithm for integrated production-inventory-routing of perishable goods with transshipment and uncertain demand. Complex & Intelligent Systems, Vol.7, 1349–1365 (https://doi.org/10.1007/s40747-020-00264-y)
 
Mangipudi, S., and Manivannan, B. (2016). U.S. Patent Application No. 14/692,741.
Marchet, G., Melacini, M., Perotti, S., Rasini, M., and Tappia, E. (2018). Business logistics models in omni-channel: a classification framework and empirical analysis. International Journal of Physical Distribution & Logistics Management, Vol. 48(4), pp. 439-464.
Mena, C., and Bourlakis, M. (2016). Retail logistics special issue. International Journal of Physical Distribution & Logistics Management, Vol. 46(6/7). (https://doi.org/10.1108/IJPDLM-03-2016-0098)
Murfield, M., Boone, C. A., Rutner, P., and Thomas, R. (2017). Investigating logistics service quality in omni-channel retailing. International Journal of Physical Distribution & Logistics Management, Vol. 47(4), pp. 263-296.
Park, S., and Lee, D. (2017). An empirical study on consumer online shopping channel choice behavior in Omni-channel environment. Telematics and Informatics, Vol. 34(8), pp. 1398-1407.
Paul, J., Agatz, N., Spliet, R., and De Koster, R. (2019). Shared Capacity Routing Problem− An omni-channel retail study. European Journal of Operational Research, Vol. 273(2), pp. 731-739.
Pruyt, E. (2013). Small system dynamics models for big issues: Triple jump towards real-world complexity.
Rao, S., Goldsby, T. J., Griffis, S. E., and Iyengar, D. (2011). Electronic logistics service quality (e‐LSQ): its impact on the customer’s purchase satisfaction and retention. Journal of Business Logistics, Vol. 32(2), pp. 167-179.
Ryu, M. H., Cho, Y., and Lee, D. (2019). Should small-scale online retailers diversify distribution channels into offline channels? Focused on the clothing and fashion industry. Journal of Retailing and Consumer Services, Vol. 47, pp. 74-77.
Sankaranarayanan, H. B., and Lalchandani, J. (2019). Smart Omni-channel Architecture for Air Travel Applications Using Big Data Techniques. In International Conference on Computer Networks and Communication Technologies (pp. 661-669). Springer, Singapore.
Sosnowska, J., Hofmans, J., and De Fruyt, F. (2019). Relating emotional arousal to work vigour: A dynamic systems perspective. Personality and Individual Differences, Vol. 136, pp. 178-183.
Tao, Z., Zhang, Z., Wang, X., and Shi, Y. (2018, November). Simulation Analysis of Omni-channel Strategy Based on System Dynamics: A Case Study of Company X. In IOP Conference Series: Materials Science and Engineering (Vol. 439, No. 3, p. 032039). IOP Publishing.
Von Briel, F. (2018). The future of Omni-channel retail: A four-stage Delphi study. Technological Forecasting and Social Change, Vol. 132, pp. 217-229.
Wang, Q., McCalley, J. D., Zheng, T., and Litvinov, E. (2016). Solving corrective risk-based security-constrained optimal power flow with Lagrangian relaxation and Bender’s decomposition. International Journal of Electrical Power & Energy Systems, Vol. 75, pp. 255-264.
Wollenburg, J., Hübner, A., Kuhn, H., and Trautrims, A. (2018). From bricks-and-mortar to bricks-and-clicks: Logistics networks in omni-channel grocery retailing. International Journal of Physical Distribution & Logistics Management, Vol. 48(4), pp. 415-438.
Zhang, M., Ren, C., Wang, G. A., and He, Z. (2018). The impact of channel integration on consumer responses in Omni-channel retailing: The mediating effect of consumer empowerment. Electronic Commerce Research and Applications, Vol. 28, pp. 181-193.