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A Transportation Assignment is based on transportation problems, which are one of the subdivisions of problems related to linear programming, where the primary objective is transporting different quantities of a single homogeneous product that is originally stored at several locations to diverse destinations in such a manner to minimize the total transportation (costs).
Transportation and Assignment Problems or Assignment and Transportation problems are concerned with assigning sources and jobs to diverse destinations as well as machines. Let us first discuss the transportation problem.
Imagine a scenario where an organization has "n" factories where it successfully manufactures its product range, and correspondingly "m" outlets that sell these products. Transporting the manufactured products from a specific factory to retail outlet costs money, this is based on diverse factors and varies based on the location of the factory and the retail outlet. The total number of products manufactured in the factory is constant and so is the total number of products a retail outlet can eventually store. The problem is to determine how many products should be transported from each factory to a specific retail outlet so that the transportation costs are kept to a minimum. There are umpteen factors to consider when it comes to Transportation and Assignment Problems and Solutions.
Assignment generally means the allocation of several jobs to different individuals in the organization. The Assignment should be carried about in such a manner so that the total processing time is reduced and overall efficiency and productivity are maximized.
On the other hand, a transportation problem concerns itself with transportation methods or selection of routes in a specific distribution network among the manufacturing plant and warehouse for distribution, located at diverse regions or local outlets. Transportation and Assignment Problems PPT are also used to highlight a specific Transportation Assignment Problem. The difference between the transportation and assignment problems is that when it comes to assignment problems, the management focuses on assigning jobs to several individuals whereas, in transportation method, the management is always on the lookout for a distribution route that can eventually lead to the minimization of expenditure and maximization of income or profits. Transportation, Assignment, and Transshipment Problems can be solved through the Machine Solution with
The problem with regard to the assignment is a specific category of the transportation problem, where the chief objective is to minimize the overall costs and time in which a predetermined number of individuals complete a certain number of jobs. In other words, when the given problem involves the allocation of "x" amount of facilities to "x" diverse tasks, it is generally termed as an assignment problem.
The model's chief utility lies in planning. The assignment problem also involves a vital sub-category of shortest or longest route models. The assignment model is extremely useful when it comes to solving problems, including assignment of specific machines to jobs, assignment of the most competent salesmen to diverse sales territories, travelling salesmen problems, and much more.
Students will have the ability to carry out the following tasks:
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