ABSTRACT: Business organizations have been primarily concerned with economic optimization in the age of globalization. There is a need to minimize transportation costs whenever commodities are physically moved from the site of manufacturing to the ultimate customer via a variety of channels of distribution (wholesalers, retailers, distributors, etc.). Thus, transportation issues play an essential part in the physical distribution of goods and services from various supply centre’s to various demand centre’s, as well as the firm’s cost optimization. Classical transportation was expanded to fixed charge transportation, solid transportation issue, and fixed charge solid transportation problem due to the relevance of transportation problem in real life. This article provides a thorough examination of several extensions of the transportation issue and their applications.