A transportation problem with queuing contract

A transportation contract is an agreement between supplier, shipper and carrier, where the carrier provides its transportation expertise and the shipper pays freight charges of the items produced in a manufacturing plant or supplied by a supplier. Here, we consider a segment of an integrated supply chain system that cooperate in the fulfillment of destinationdemand by the shipping amount of different rake again these amounts are stocked in a loading terminal in terms of linear queue of the produced goods. The items are arrive and depart in the queue in Markovian / Poisson process. The system is illustrated and discussed with numerical examples.The obtained results are also compaired to find their significance in terms of ANOVA.