[Reddy, 2(9): September, 2013] http: // www.ijesrt.com (C) In IJESRT INTERNATIONAL JOUR Constrained T P. Madhu Mohan Reddy *1 , C. S *1 Department of Mathematic We study the problem c (CTDJAM)”. For this we took M U W 3 U , … U W q sets of worke elements (machines) in each set o set of workers be w 1 , w 2 , w 3 , … … n r. The total number of m respectively. Out of n jobs the n is job. In the feasible assignme represented. Our objective is to restrictions. Keywords: Assignment, Dime 1. INTROUDCTION Assignment problem is a task to facility on a one to one b available for four separate jobs. H that the time and total cost is min So many researchers hav Purusotham [1] had stud Approach to the Variant Multi Assignment Problem is a combin ] ISSN: Impac nternational Journal of Engineering Sciences & Resear [2361-2387] RNAL OF ENGINEERING SCIENCES & RE TECHNOLOGY Three Dimensional Job Assignment Model Suresh Babu 1 , V.K. Soma Sekhar Srinivas 1 , Sund cs, Sri Venkateswara University, Tirupati, Andhra Pr mmrphdsv@gmail.com ABSTRACT called “Constrained Three Dimensional Job As M= (M 1 U M 2 U M 3 U , … U M p ) sets of machin ers and J= J 1 U J 2 U J 3 U , … U J r sets of jobs. L of machines be m 1 , m 2 , , … m p , the number of … w q and the number of elements in each set of jo machines, workers, jobs are in all sets are ta number of jobs to be assigned is n 0 (n 0 <n). Here ent all the subsets of machines, workers and o assign n 0 jobs with minimum total cost/time ension, Constrained. a special type of linear programming. It is conc basis in some optimal way. For e.g., A manage His job is to assign each person to one and only nimized. ve developed the Assignment Problem. died the problem called “Pattern Recognition ba i-Dimensional Assignment Problem”. The Mu natorial optimization problem that is known to b : 2277-9655 ct Factor: 1.852 rch Technology ESEARCH l dara Murthy M 1 radesh, India ssignment Model nes, W= W 1 U W 2 Let the number of elements in each obs are n 1 , n 2 , n 3 , ken as m, w, n e third dimension d jobs should be e with the above cerned of assigning er has four persons y job in such a way ased Lexi-Search ulti Dimensional be NP –Hard. On