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Reseach Article

A Mathematical Approach for Three Stage Flow Shop Production Schedule with Jobs in a String of Disjoint Job Block

by Deepak Gupta, Sameer Sharma, Shefali Aggarwal
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 19
Year of Publication: 2012
Authors: Deepak Gupta, Sameer Sharma, Shefali Aggarwal
10.5120/6375-8836

Deepak Gupta, Sameer Sharma, Shefali Aggarwal . A Mathematical Approach for Three Stage Flow Shop Production Schedule with Jobs in a String of Disjoint Job Block. International Journal of Computer Applications. 44, 19 ( April 2012), 41-48. DOI=10.5120/6375-8836

@article{ 10.5120/6375-8836,
author = { Deepak Gupta, Sameer Sharma, Shefali Aggarwal },
title = { A Mathematical Approach for Three Stage Flow Shop Production Schedule with Jobs in a String of Disjoint Job Block },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 19 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 41-48 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number19/6375-8836/ },
doi = { 10.5120/6375-8836 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:36:01.925399+05:30
%A Deepak Gupta
%A Sameer Sharma
%A Shefali Aggarwal
%T A Mathematical Approach for Three Stage Flow Shop Production Schedule with Jobs in a String of Disjoint Job Block
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 19
%P 41-48
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

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.

References
  1. Ahmad Pour Darvish Heydari, "On flow shop scheduling problem with processing of jobs in a string of disjoint job blocks: fixed order jobs and arbitrary order jobs", JISSOR, XXIV, 2003, 39- 43.
  2. A. B. Chandramouli, "Heuristic Approach for n-job,3-machine flow shop scheduling problem involving transportation time, breakdown interval and weights of jobs", Mathematical and Computational Applications. 10(2), 2005, 301-305.
  3. P. Dileepan and T. Sen, "Bicriteria state scheduling research for a single machine", Omega, 16, 1988, 53-59.
  4. D. Gupta, S. Sharma, Seema and Shefali, "Bicriteria in n × 2 flow shop scheduling under specified rental policy ,processing time and setup time each associated with probabilities including job-block", Industrial Engineering Letter. 1(1), 2011, 1 – 12. .
  5. D. Gupta, S. Sharma and Seema, "Bicriteria in n x 3 flow shop scheduling under specified rental policy, processing time associated with probabilities including transportation time and job block criteria", Mathematical Modelling and Theory. 1(2), 2011, 7-18.
  6. D. Gupta,S. Sharma S. & N. Gulati, "n×3 flow shop production schedule, processing time, setup time each associated with probabilities along with jobs in string of disjoint job-blocks", Antartica J. Math. 8(5), 2011, 443 – 457.
  7. S. M. Johnson. 1954. Optimal two and three stage production schedule with set up times included, Naval Research Logistics Quart. 1 (1954), 61-68.
  8. A. Khodadadi, "Development of a new heuristic for three machines flow-shop scheduling problem with transportation time of jobs", World Applied Sciences Journal. 5(5), 2008, 598-601.
  9. P. L. Maggu and G. Das, "Equivalent jobs for job block in job scheduling", Opsearch, 14(4), 1977, 277-281.
  10. L. Narian & P. C. Bagga, "Minimizing hiring cost of machines in n 3flow shop problem", XXXI Annual ORSI Convention and International Conference on Operation Research and Industry, 1988, Agra[India].
  11. P. Pandian and P. Rajendran, "Solving constrained flow-shop scheduling problems with three machines", Int. J. Contemp. Math. Sciences. 5(19), 2010, 921-929.
  12. R. D. Smith & R. A. Dudek, "A general algorithm for solution of the N-job, M-machine scheduling problem", Opn. Res. , 15(1), 1967, 71-82.
  13. W. E. Smith. 1967. Various optimizers for single stage production, Naval Research Logistics. 3 (1967), 59-66.
  14. T. Sen and S. K. Gupta, "A branch and bound procedure to solve a bicriteria scheduling problem", AIIE Trans. , 15, 1983, 84-88.
  15. T. P. Singh, "On n x 2 flow shop problem involving job block, transportation times & break- down machine times", PAMS XXI, 1985, 1-2.
  16. L. N. Van Wassenhove and L. F. Gelders, "Solving a bicriteria scheduling problem", AIIE Trans. , 15, 1980, 84-88.
  17. L. N. Van Wassenhove and K. R. Baker, " A bicriteria approach to time/cost trade-offs in sequencing", EJOR, 11, 1982, 48-54.
Index Terms

Computer Science
Information Sciences

Keywords

Flow Shop Scheduling disjoint Job Block transportation Time Processing Time