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Stream/Area:
-
Subject:
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Paper ID:
IJSREM67761
Volume:
10 |
10 |
Oct 2026
Pages:
1-20
Publication Frequency:
Monthly (12 issues per year)
License:International Journal of Scientific Research in Engineering and Management follows the Creative Commons Attribution 4.0 (CC BY 4.0) License, allowing free use and distribution with proper attribution.

Anil Surendra Modi School of Commerce
SVKM'S Narsee Monjee Institute of Management Studies
Anil Surendra Modi School of Commerce
SVKM'S Narsee Monjee Institute of Management Studies
Anil Surendra Modi School of Commerce
SVKM'S Narsee Monjee Institute of Management Studies
Anil Surendra Modi School of Commerce
SVKM'S Narsee Monjee Institute of Management Studies
Anil Surendra Modi School of Commerce
SVKM'S Narsee Monjee Institute of Management Studies
Background. As online retailing has grown into an essential part of the global economy, delivery of goods has become one of the largest expenditures of such firms, with the last-mile delivery from the hub to the customer being the most expensive one. Operations research (OR) provides ways to optimize both the transportation of goods from the company to customers and their movement within supply chains. Problems range from the classical transportation problem (TP) to vehicle routing. Objective. This paper (i) provides a discussion of two journal articles in which OR is used to optimize delivery in the context of e-commerce, (ii) demonstrates that TP is embedded in the studies as the structure of a routing model and order consolidation, (iii) outlines five research gaps that were not addressed by the authors, and (iv) extend the TP framework to address each of the gaps with numerical experiments. Methods. The articles by Cokyasar et al. (2023), which addresses a time-constrained capacitated vehicle routing problem for four US cities, and by Muñoz-Villamizar, Velázquez-Martínez and Caballero-Caballero (2024), which describes a large-scale consolidation model for a Mexican retailer, are analyzed. A TP with three fulfillment centers and four hubs is solved with the North-West Corner, Least Cost and Vogel’s starting allocations, with results verified with the MODI method and linear programming. Five extended TP models are tested: a pooled multi-carrier TP, time-indexed fixed-charge TP for consolidation, two-stage stochastic TP for peak season, bi-objective cost–emissions TP, and a TP with returns to base. Results. The base case of TP results in an optimal plan of INR 40,400 per day, which is 9.4% better than the one produced with the North-West Corner method. Pooled allocation of two carriers’ depots reduces their line-haul cost by 11.7% and parcel-kilometers by 18.3%. A one-day delivery deadline makes it possible to reduce the number of vans by 19.0% after accounting for the extra cost of customer waiting time. Booking capacity from multiple carriers based on scenarios with demand equal to the peak, as opposed to average daily demand, makes it possible to reduce delivery costs by INR 4,651 per day (value of the stochastic solution). Emissions from electric or CNG vans can reduce the carbon footprint by 30% with a 7.4% increase in costs, while returned parcels add 71% to the cost per delivered parcel and make the base case of TP infeasible. Conclusion. The cost of delivery in e-commerce is determined at three stages: allocation of packages to carriers, scheduling of their pickup and drop-off with customers, and routing of the vehicles between facilities. The TP model provides a transparent and computationally inexpensive way to analyze the first two stages, with the third one addressing the questions that routing-specific research has not resolved. A sequential approach in which allocation, consolidation, and routing are optimized in that order has theoretical and practical value.
KEYWORDS
This paper reviewed two journal-level applications of OR to e-commerce logistics and found that the classical transportation problem was embedded in both as the flow of packages in the delivery network (in Article A) or the temporal arrangement of consolidations (in Article B). The base fulfilment-to-hub model was solved with all three initial assignment rules, tested with the MODI method, and interpreted through shadow prices; the optimal solution was proven to be 9.4% better than with the North-West Corner method, and the VAM was not always the best starting point. Five gaps were found in the reviewed articles: allocation benefits from shared depots, customer waiting costs, demand-side uncertainty, cost–emissions trade-offs, and returns to the origin. Five extended transportation models were found to fill these gaps: pooling depots reduced costs by 11.7% over allocation alone; a one-day delivery window reduced delivery costs by 19% net of penalties; scenario-based capacity booking reduced costs by INR 4,651 per day on average over plan-driven booking; clean vans reduced emissions by 30% for a 7.4% increase in costs; RTOs increased the cost per delivered package by 71% and rendered the base network configuration invalid. Thus, the results suggest a three-stage logistics planning process: allocate deliveries according to a transportation model with uncertain returns, consolidate the deliveries in a time-indexed model, and route them. Further research should focus on finding exact coefficients for the reviewed models and linking them into a cohesive system.
Birge, J. R., & Louveaux, F. (2011). Introduction to stochastic programming (2nd ed.). Springer. Boysen, N., Fedtke, S., & Schwerdfeger, S. (2021). Last-mile delivery concepts: A survey from an operational research perspective. OR Spectrum, 43(1), 1–58. Charnes, A., & Cooper, W. W. (1954). The stepping stone method of explaining linear programming calculations in transportation problems. Management Science, 1(1), 49–69. Cleophas, C., Cottrill, C., Ehmke, J. F., & Tierney, K. (2019). Collaborative urban transportation: Recent advances in theory and practice. European Journal of Operational Research, 273(3), 801–816. Cokyasar, T., Subramanyam, A., Larson, J., Stinson, M., & Sahin, O. (2023). Time-constrained capacitated vehicle routing problem in urban e-commerce delivery. Transportation Research Record, 2677(2), 190–203. https://doi.org/10.1177/03611981221124592 Dantzig, G. B. (1951). Application of the simplex method to a transportation problem. In T. C. Koopmans (Ed.), Activity analysis of production and allocation (pp. 359–373). Wiley. Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91. Guajardo, M., & Rönnqvist, M. (2016). A review on cost allocation methods in collaborative transportation. International Transactions in Operational Research, 23(3), 371–392. Haimes, Y. Y., Lasdon, L. S., & Wismer, D. A. (1971). On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Transactions on Systems, Man, and Cybernetics, SMC-1(3), 296–297.
Publication Date
10/10/2026
Peer Review Type
Double-Blind Peer Review
Review Rounds: 2
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