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In this paper, we discuss paradox in a linear Transportation Problem. Thereby, we establish a sufficient condition for the existence of paradox in a linear transportation problem. Next we find out all the Paradoxical pairs as well as paradoxical range of flow. We also illustrate a numerical example in support of the theory. [ABSTRACT FROM AUTHOR]

We explore coordination issues of a two-echelon supply chain, consisting of a distributor and a retailer. The effect of revenue-sharing contract mechanism is examined under stock-time-price-sensitive demand rate. First, we investigate relationships between distributor and retailer under noncooperative distributor-Stackelberg games. Then we establish analytically that revenue sharing contact is able to coordinate the system and leads to the win-win outcomes. Finally, numerical examples are presented to compare results between the different models. [ABSTRACT FROM AUTHOR]