Data envelopment analysis (DEA) is a strong analytical tool and methodology for evaluating the relative efficiency of decision‐making units (DMUs). The DEA models require inputs and outputs, which are equipped with precise information. However, the real‐world inputs and outputs are probably so changeable and complicated that cannot be measured accurately. Consequently, this conflict leads to the analysis of uncertain DEA models. This paper aims to analyze the slacks‐based measure (SBM) model in an uncertain environment where the uncertain inputs and outputs are belief degree‐based uncertainty. The belief degree‐based uncertainty is useful for the cases in which no historical information of an uncertain event is available. As a solution methodology, the uncertain SBM model is converted to a crisp form by using three approaches separately: expected value model, expected value and chance‐constrained model, and dependent chance‐constrained model. Additionally, an alternative uncertain model is introduced to reveal differences of DMUs rankings in three crisp methods. Finally, an applied scenario regarding the Iranian banking system is documented to present the new models.
One of the key issues in logistics management context is the measurement of the vendors’ efficiency which helps companies to achieve the most appropriate services. In today’s competitive condition, most of the firms have changed from a single vendor to a multi-vendor point of view. A number of conceptual and analytical models have also been developed for identifying the vendor selection problems. It has been recognized that a lot of factors may influence the vendors’ efficiency therefore a suitable approach is required to consider major factors in order to select the most efficient ones. This paper presents a practical approach for evaluating vendors which provide the required services in a procurement situation. This approach uses data envelopment analysis to evaluate the vendors’ efficiency. Anderson and Peterson model is also applied to rank the efficient vendors. The criteria considered in this model are service quality, price, average of late deliveries and rate of rejected parts. A case study is implemented in a pipe manufacturing company to prove the mentioned methods. Findings pinpoint that the vendors which present the best services are not necessarily the most efficient one. This research also provides an appropriate framework for organization to examine the vendors’ efficiency and also choose some effective ways to improve vendors’ performance.
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