Murshid Kamal, Ali Alarjani, Ahteshamul Haq, F. N. K. Yusufi, I. Ali
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引用次数: 2
Abstract
The problem of transportation in real-life is an uncertain multi-objective decision-making problem. In particular, by taking into account the conflicting objectives, Decision-Makers (DMs) are looking for the best transport set up to determine the optimum shipping quantity subject to certain capacity constraints on each route. This paper presented a Multi-Objective Transportation Problem (MOTP) where the objective functions are considered as Type-2 trapezoidal fuzzy numbers (T2TpFN), respectively. Demand and supply in constraints are in multi-choice and probabilistic random variables, respectively. Also considered the “rate of increment in Transportation Cost (TC) and rate of decrement in profit on transporting the products from ith sources to jth destinations due to” (or additional cost) of each product due to the damage, late deliveries, weather conditions, and any other issues. Due to the presence of all these uncertainties, it is not possible to obtain the optimum solution directly, so first, we need to convert all these uncertainties from the model into a crisp equivalent form. The two-phase defuzzification technique is used to transform T2TpFN into a crisp equivalent form. Multi-choice and probabilistic random variables are transformed into an equivalent value using Stochastic Programming (SP) approach and the binary variable, respectively. It is assumed that the supply and demand parameter follows various types of probabilistic distributions like Weibull, Extreme value, Cauchy and Pareto, Normal distribution, respectively. The unknown parameters of probabilistic distributions estimated using the maximum likelihood estimation method at the defined probability level. The best fit of the probability distributions is determined using the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC), respectively. Using the Fuzzy Goal Programming (FGP) method, the final problem is solved for the optimal decision. A case study is intended to provide the effectiveness of the proposed work.
期刊介绍:
At present, transport is one of the key branches playing a crucial role in the development of economy. Reliable and properly organized transport services are required for a professional performance of industry, construction and agriculture. The public mood and efficiency of work also largely depend on the valuable functions of a carefully chosen transport system. A steady increase in transportation is accompanied by growing demands for a higher quality of transport services and optimum efficiency of transport performance. Currently, joint efforts taken by the transport experts and governing institutions of the country are required to develop and enhance the performance of the national transport system conducting theoretical and empirical research.
TRANSPORT is an international peer-reviewed journal covering main aspects of transport and providing a source of information for the engineer and the applied scientist.
The journal TRANSPORT publishes articles in the fields of:
transport policy;
fundamentals of the transport system;
technology for carrying passengers and freight using road, railway, inland waterways, sea and air transport;
technology for multimodal transportation and logistics;
loading technology;
roads, railways;
airports, ports, transport terminals;
traffic safety and environment protection;
design, manufacture and exploitation of motor vehicles;
pipeline transport;
transport energetics;
fuels, lubricants and maintenance materials;
teamwork of customs and transport;
transport information technologies;
transport economics and management;
transport standards;
transport educology and history, etc.