Minimizing Makespan Subject to Budget Limitation in Parallel Flow Shop
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32799
Minimizing Makespan Subject to Budget Limitation in Parallel Flow Shop

Authors: Amin Sahraeian

Abstract:

One of the criteria in production scheduling is Make Span, minimizing this criteria causes more efficiently use of the resources specially machinery and manpower. By assigning some budget to some of the operations the operation time of these activities reduces and affects the total completion time of all the operations (Make Span). In this paper this issue is practiced in parallel flow shops. At first we convert parallel flow shop to a network model and by using a linear programming approach it is identified in order to minimize make span (the completion time of the network) which activities (operations) are better to absorb the predetermined and limited budget. Minimizing the total completion time of all the activities in the network is equivalent to minimizing make span in production scheduling.

Keywords: parallel flow shop, make span, linear programming, budget

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060122

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1740

References:


[1] S.M.H. Hojjati, and A. Sahraeyan," Minimizing Makespan Subject to Budget Limitation in Hybrid Flow-Shop," 39th International Conference on Computer and Industrial Engineering, Troyes, France 6-8 July 2009, pp 18-22.
[2] W. Bozejko, and J. Pempera,"Parallel tabu search algorithm for the permutation flow shop problem with criterion of minimizing sum of job completion times," Human System Interactions, Conference in Kralow 25-27 May 2008; 825-829.
[3] X. Zhang,and S.van de Velde," Approximation Algorithms for the Parallel Flow Shop Problem," European Journal of Operational Research (2011)B. Smith, "An approach to graphs of linear forms (Unpublished work style)," unpublished.
[4] M. Seda," Mathematical Models of Flow Shop and Job Shop Scheduling Problems," World Academy of Science, Engineering and Technology 31 2007.
[5] B. Al-Dulaomi, and A.Ali, . "A Novel Genetic Algorithm Approach for Solving Flow Shop Problem," International Journal of Computer Science and Network Security,2008, Vol. 8, No.9, pp. 229-235.
[6] H.G. Campbell, H.G. Dudeck, M.L. Smith," A Heuristic Algorithm for the n Job, m Machine Sequencing Problem," Management Science, No.16, pp. 630-637.
[7] J. Havill, and W. Mao," On-line Algorithms for hybrid Flow Shop Scheduling, "2002.
[8] A. Khodadadi," Solving Constrained Flow-Shop Scheduling Problem with Three Machines," International Journal of Academic Research, 2011, Vol. 3, No. 1, pp. 31 38-40.