Assignment Problem

Transportation Problem

(i)      Assignment means allocating various jobs to various people in the organization. Assignment should be done in such a way that the overall processing time is less, overall efficiency is high, overall productivity is high, etc. (i)       A transportation problem is concerned with transportation method or selecting routes in a product distribution network among the manufacture plant and distribution warehouse situated in different regions or local outlets.
(ii)     We solve an assignment problem by using two methods.

(a)     Completer enumeration

(b)     Hungarian method


(ii)      We use three methods for solving a transportation problem i.e., to find IBFS :

(a) VAM (b) NWCR (c) LCM

Thereafter we find the optimum solution by using the MODI method.

(iii)    In an assignment problem only one allocation can be made in particular row or a column. (iii)     A transportation problem is not subject to any such restrictions. Such restriction are peculiar to assignment problems only. Many allocations can be done in a particular row or particular column.
(iv)    In assignment problem management aims at assignment jobs to various people. (iv)     In transportation method, management is searching for a distribution route, which can lead to minimization of cost and maximization of profit.
(v)     When no. of jobs no. of workers, it is a unbalanced problem. (v)      When the total demand is not equal to total supply it is unbalanced problem.
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