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A Mathematical Approach for Three Stage Flow Shop Production Schedule with Jobs in a String of Disjoint Job Block
Author(s) -
Deepak Gupta,
Sameer Sharma,
Shefali Aggarwal
Publication year - 2012
Publication title -
international journal of computer applications
Language(s) - English
Resource type - Journals
ISSN - 0975-8887
DOI - 10.5120/6375-8836
Subject(s) - computer science , disjoint sets , string (physics) , production (economics) , block (permutation group theory) , schedule , flow (mathematics) , operations research , stage (stratigraphy) , flow shop scheduling , industrial engineering , mathematical optimization , job shop scheduling , mathematics , discrete mathematics , microeconomics , combinatorics , operating system , geometry , economics , paleontology , engineering , mathematical physics , biology
The aim of this paper is to introduce the concept of disjoint job blocks in n-jobs, three machines flow shop scheduling problem to minimize the total elapsed time and rental cost of the machines under a specified rental policy in which the processing time associated with probabilities including transportation time. A heuristic approach for flow shop with a computational algorithm to find optimal or near optimal solution is described. A computer program followed by a numerical illustration is given to justify the proposed algorithm.

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