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Optimising intermodal and multimodal freight transport between the USA and Pakistan: a bi-objective MILP model for cost and energy trade-offs

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  • Rizwan Shoukat
  • Zhang Xiaoqiang
  • Ayesha Saeed

Abstract

By juxtaposing multimodal and intermodal operations, this study aims to assist policymakers and supply chain managers in minimising the cost of logistics and improving business performance. The problem of minimising the cost of transporting freight from New York, the USA to Punjab, Pakistan is tackled using mixed-integer linear programming (MILP). We solved the optimisation problem by using a multiobjective genetic algorithm (MOGA) to identify Pareto front solutions for the cost trade-off between the two modes of transport. According to the findings, multimodal transportation (air, road, and rail) is 15% more cost-effective than intermodal transportation (air, road) when delivering less than a container unit. Additionally, this investigation's breakdown analysis reveals that road freight is the second-highest means of transportation in terms of cost, trailing only air freight. In multimodal transportation, the share is air (74%), rail (1%), and road (25%). However, air transport accounts for 60% of intermodal transportation, while road transport accounts for 40%

Suggested Citation

  • Rizwan Shoukat & Zhang Xiaoqiang & Ayesha Saeed, 2026. "Optimising intermodal and multimodal freight transport between the USA and Pakistan: a bi-objective MILP model for cost and energy trade-offs," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 16(3), pages 251-273.
  • Handle: RePEc:ids:ijbpsc:v:16:y:2026:i:3:p:251-273
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