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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 22 | Number 1 | Year 2015 | Article Id. IJMTT-V22P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V22P510

Multi Process Three Dimensional Job Assignment Model


P.Guravaraju, C. Suresh Babu, R. Vijaya Lakshmi, M. Sundara Murthy
Citation :

P.Guravaraju, C. Suresh Babu, R. Vijaya Lakshmi, M. Sundara Murthy, "Multi Process Three Dimensional Job Assignment Model," International Journal of Mathematics Trends and Technology (IJMTT), vol. 22, no. 1, pp. 55-67, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V22P510

Abstract

So many researchers introduced variant problems for assignment model. In this Problem there is a set of n jobs, m machines and r periods. This is three dimensional problem. Number of jobs to be completed is n0 . The total number of assigned jobs should be 2 n0 . D(i,j,k) be the cost array of assignment of ith Job on jth machine at kth period. Each job requires two processes among A,B and C Processes and there are given. Any machine can do process A in 1st or 3rd period, process B in 2nd or 4th period and process C in any one of the four periods. For our convenience we consider processes A, B and C .as 1,2 and 3. One machine can do a job process in one period .i.e different jobs processes can be done on a machine in different periods. Each n0 job has to be assigned twice to machines for the two processes, hence the total number of assignment is 2 n0 . The objective of the problem is to assign each n0 job twice to the machines such that the total processing cost is minimum subject to conditions.

Keywords
assignment, jobs ,machines , periods, process and n0
References

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