<p>In developing countries, communication roads are improved in number, but the road surface is damaged due to weather and the action of road traffic. Road-surface condition is very essential part of the transportation system. Its indirect effects are transportation time, transported item breakability, and carbon emissions. For the first time, we have measured the transportation time, carbon emissions and transported items’ breakability based on the road-surface condition parameter. Also, the transported items’ breakability rate is estimated based on experts opinions on route’s surface condition and items’ brittleness. In light of the facts, we have developed a multi-objective multi-item 4DTP that selects the potential nodes, transported quantities, the routes and the conveyances. The main aims are to minimize the total cost, total time, and carbon emissions for long period of the transportation system. Along with this, two particular models have been developed. The formulated multi-objective transportation problems are converted to equivalent single-objective optimization problems by three advanced techniques such as the Fuzzy satisficing method, the Fuzzy goal programming method, and the Max min Zimmermann method. Then, it is solved by the generalized reduced gradient method using LINGO 18.0 software. The general model as well as particular models is demonstrated with the help of numerical experiments. Also, sensitivity analyses are conducted and some managerial decisions have been brought out.</p>

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Multi-objective multi-item 4D transportation problem with road surface and items’ brittleness based items’ breakability

  • Sukanta Mazumder,
  • Raghu Nandan Giri

摘要

In developing countries, communication roads are improved in number, but the road surface is damaged due to weather and the action of road traffic. Road-surface condition is very essential part of the transportation system. Its indirect effects are transportation time, transported item breakability, and carbon emissions. For the first time, we have measured the transportation time, carbon emissions and transported items’ breakability based on the road-surface condition parameter. Also, the transported items’ breakability rate is estimated based on experts opinions on route’s surface condition and items’ brittleness. In light of the facts, we have developed a multi-objective multi-item 4DTP that selects the potential nodes, transported quantities, the routes and the conveyances. The main aims are to minimize the total cost, total time, and carbon emissions for long period of the transportation system. Along with this, two particular models have been developed. The formulated multi-objective transportation problems are converted to equivalent single-objective optimization problems by three advanced techniques such as the Fuzzy satisficing method, the Fuzzy goal programming method, and the Max min Zimmermann method. Then, it is solved by the generalized reduced gradient method using LINGO 18.0 software. The general model as well as particular models is demonstrated with the help of numerical experiments. Also, sensitivity analyses are conducted and some managerial decisions have been brought out.