Applied and Computational Mathematics
Volume 5, Issue 1, February 2016, Pages: 1-9
Received: Nov. 13, 2015;
Accepted: Nov. 24, 2015;
Published: Jan. 15, 2016
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Geleta Tadele Mohammed, Department of Mathematics, College of Natural Sciences, Arba Minch University, Arba MInch, Ethiopia
Because of flow shop scheduling is one of the most important problems in the area of production management, In this paper, what I have did is that, I have developed a new algorithm for n-jobs m-machine flow shop scheduling problem for special case of n-jobs m-machine flow shop scheduling problem. And also, there is a good self explanatory example to explain the algorithm very well.
Geleta Tadele Mohammed,
New Algorithm for N-jobs on M-machine Flow Shop Scheduling Problems, Applied and Computational Mathematics.
Vol. 5, No. 1,
2016, pp. 1-9.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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Chenge, T. C. E., “Optimal due date determination and scheduling of n- jobs on a single machine”, Journal of the Operation Research society 35, pp. 433-437, 1984.
Ikram, M., “A note on minimization of lateness Cost Function and Determination of Optimal Due – date in two machine problem,” Pure Applied Mathematika sciences, Vol. XXIII, 1-2, March 1986.
Johnson, S. M. “Optimal two and three stage production schedules with setup times included.” Naval Research Logistics Quarterly, Vol I, 61-68, 1954.
Jackson, J. R., “An extension of Johnson’s results on lot scheduling”, Naval Research Logistics Quarterly, Vol 3, pp.201-2003, 1956.
Ibrahim, M.A., “Algorithms for Sequencing and Scheduling,” Industrial Engineering Department, College of Engineering, King saud University, Riyadh, Saudi Arabia.
Osman, M. R., Ismail, N., Zairian, M. R. M, Yusuf, R. M., Sapuan, S. M. “sheet metal Fabrication Scheduling Using Selective Performance Measure and priority Dispatching Rule,” International Journal of Engineering and Technology, Vol. 1 (1), pp. 74-83, 2004.
Taylor, F. W., “Shop Management”, Harper And Bros, New York, 1911.
Herrmann, Jeffrey. W “A history of production Scheduling” in Handbook of Production Scheduling, Springer, New York, 2006.
Dudek, R. A., S. S. Panwalkar, and M. L. Smith, “The lessons for flow shop scheduling Research,” Operation Research, Vol 40(1), pp. 7-13, 1993.
Conway, R. W., Maxwell, W. L., and Miller, L. W. “Theory of Scheduling,” Addison-Wesley Publishing Company, Massachusetts, 1967.
Miloš Šeda “Mathematical Models of Flow Shop and Job Shop Scheduling Problems”, International Journal of Applied Mathematics and Computer Sciences Volume 4 Number 4.
Kerem Bu¨lbu¨l, Philip Kaminsky, Candace Yano,” Flow Shop Scheduling with Earliness, Tardiness, and Intermediate Inventory Holding Costs”, Industrial Engineering and Operations Research, University of California, Berkeley, California 94720-1777.
Mircea ANCĂU, “on solving flow shop scheduling problems” THE PUBLISHING HOUSE PROCEEDINGS OF THE ROMANIAN ACADEMY, Series A, OF THE ROMANIAN ACADEMY Volume 13, Number 1/2012, pp. 71–79.