Supply chain management (SCM) aims to have a smooth flow of goods through its various supply centres. In many situations, long queues get build up which decrease the efficiency of supply chain framework. In supply chains, the perishable items like vegetables, fruits etc. in the congestion situations become worthless if they are not supplied to the retailers (customers) at proper time as they may get spoiled. This may lead to significant loss to the supplier firm. The perishable items can be modelled by the reneged customers in the queuing modelling. Also, the prevalence of long queues may deter the incoming lot of goods (vehicles carrying goods) to join the same congested supply chain (waiting line). Such situation can be called as balking. Balking also has adverse effect on the continuity of supply chain. It is envisaged in this paper that if the supply firms devise strategies to prevent the spoilage of perishable goods during queuing, they can manage to earn significant revenues. If they employ such strategies in their supply chain queues, then there are chances that a certain percentage of perishable goods can be prevented from being spoiled. Thus, there is a probability that a perishable item can be made to stay fit for its further use. Therefore, the probability of retaining the impatient (reneged) customers has been incorporated. The steady-state solution of the model has been derived. The economic aspects of the model have also been studied.
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