Operation research (TRANSPORTATION PROBLEMS)

  ASSIGNMENT PROBLEM   Introduction: Assignment is a typical optimization technique practically useful in a situation where a certain number of tasks are required to be assigned to an equal number of facilities, on a one to one basis, so that the resultant effectiveness is optimized. eg. Jobs to be assigned to machines or workers, salesmen to the sales territories, vehicles to routes etc. Note: Assignment problem is a case of transportation problems where the number of sources is equal to the number of destinations (i.e. m = n or number of rows = number of columns) and the supply and demand figures for each of the sources and destinations is one. An Assignment Table or Matrix used in the Hungarian method consists of n rows (for say 1, 2, 3, 4 etc) and n columns (for machines A, B, C, D etc.) and its elements indicate the effectiveness (say time required for each machine to perform each of these four jobs) as - Machines Jobs A B ...

Linear Programming Problem (LPP)     Formulation of LPP.                                                                   LPP is an optimization technique which is given in linear equations with the help of this we can find how to use limited resources to obtain a particular objectives these subject to the constraints are also linear nature. Linear programming problem having three parts (i)     Objective function          (ii)    Constraints            (iii)        Non-negativity restrictions LPP with x and y decision variable Max/min Z = c 1   x + c 2   y              (objective functi...