Abstract
As the problem related to minimizing makespan as objective is NP-hard for more than two machines in flowshop scheduling, therefore need for heuristics have been felt to yield optimal or near optimal solutions in polynomial time. In the present paper, we propose an alternative heuristic algorithm which is compared with the benchmark Palmer’s, CDS and NEH algorithm for the processing of n-jobs through m-machines. The proposed heuristic gives solution for solving n-job and m-machine flowshop scheduling problem with minimizing makespan as criteria. Comparisons have been made for tested instances.
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References
Baker, K.R.: Introduction to Sequencing and Scheduling. Wiley, New York (1974)
Bestwick, P.F., Hastings, N.A.J.: A new bound for machine scheduling. Oper. Res. Q. 27, 479–487 (1976)
Bonney, M.C., Gundry, S.W.: Solutions to the constrained flowshop sequencing problem. Oper. Res. Q. 27, 869–883 (1976)
Campbell, H.G., Dudek, R.A., Smith, M.L.: A heuristic algorithm for n-jobs, m-machine sequencing problem. Manage. Sci. 16, 630–637 (1970)
Chakraborty, U.K., Laha, D.: An improved heuristic for permutation flowshop scheduling. Int. J. Inf. Commun. Technol. 1, 89–97 (2007)
Conway, R.W., Maxwell, W.L., Miller, L.W.: Theory of Scheduling. Addison-Wesley, Reading (1967)
Dannenbring, D.G.: An evaluation of flowshop sequencing heuristics. Manage. Sci. 23, 1174–1182 (1977)
Framinan, J.M., Gupta, J.N.D., Leisten, R.: A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. J. Oper. Res. Soc. 55, 1243–1255 (2004)
Garey, M.R.D., Johnson, D.S., Sethi, R.: The complexity of flow shop and job shop scheduling. Math. Oper. Res. 1, 117–129 (1976)
Grabowski, J., Wodecki, M.: A very fast tabu search algorithm for the permutation flow shop problem with makespan criterion. Comput. Oper. Res. 31, 1891–1909 (2004)
Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimisation and approximation in deterministic sequencing and scheduling: a survey. Ann. Discret. Math. 5, 287–326 (1979)
Gupta, J.N.D.: A functional heuristic for the flow-shop scheduling problem. Oper. Res. Q. 22, 39–47 (1971)
Gupta, J.N.D.: A heuristic algorithm for the flow shop scheduling problem. R.A.I.R.O. Rech. Operationnelle 10, 63–73 (1976)
Ignall, E., Scharge, L.: Application of the branch and bound technique to some flow shop scheduling problems. Oper. Res. 13, 400–412 (1965)
Johnson, S.M.: Optimal two- and three-stage production schedules with setup times included. Naval Res Logistics Q. 1, 61–68 (1954)
Kalczynski, P.J., Kamburowski, J.: On NEH heuristic for minimizing the makespan in permutation flowshops. OMEGA, Int. J. Manage. Sci. 35, 53–60 (2007)
Kalczynski, P.J., Kamburowski, J.: An improved NEH heuristic to minimize makespan in permutation flow shops. Comput. Oper. Res. 35, 3001–3008 (2008)
King, J.R., Spachis, A.S.: Heuristics for flowshop scheduling. Int. J. Prod. Res. 18, 345–357 (1980)
Lomnicki, Z.A.: A branch and bound algorithm for the exact solution to some flow shop scheduling problems. Oper. Res. Q. 16, 89–100 (1965)
Nawaz, M., Enscore Jr., E.E., Ham, L.: A heuristic algorithm for the m machine, n job flow shop sequencing problem. OMEGA, Int. J. Manage. Sci. 11, 91–95 (1983)
Nowicki, E., Smutnicki, C.: A fast tabu search algorithm for the permutation flow-shop problem. Eur. J. Oper. Res. 91, 160–175 (1996)
Page, E.S.: An approach to the scheduling of jobs on machines. J. Roy. Stat. Soc. 23, 484–492 (1961)
Palmer, D.S.: Sequencing jobs through a multi-stage process in the minimum total time-A quick method of obtaining a near optimum. Oper. Res. Q. 16, 101–107 (1965)
Park, Y.B., Pegden, C.D., Enscore, E.E.: A survey and evaluation of static flowshop scheduling heuristics. Int. J. Prod. Res. 22, 127–141 (1984)
Pinedo, M.: Scheduling: Theory, Algorithms, and Systems. Prentice-Hall, Upper Saddle (2002)
Rajendran, C., Ziegler, H.: Ant-colony algorithms for permutation flowshop scheduling to minimize makespan/total flowtime of jobs. Eur. J. Oper. Res. 155, 426–438 (2004)
Reeves, C.R.: A genetic algorithm for flowshop sequencing. Comput. Oper. Res. 22, 5–13 (1995)
Ruiz, R., Maroto, C.: A comprehensive review and evaluation of permutation flow shop heuristics. Eur. J. Oper. Res. 165, 479–494 (2005)
Taillard, E.: Benchmarks for basic scheduling problems. Eur. J. Oper. Res. 64, 278–285 (1993)
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Gupta, D., Nailwal, K.K., Sharma, S. (2014). A Heuristic for Permutation Flowshop Scheduling to Minimize Makespan. In: Pant, M., Deep, K., Nagar, A., Bansal, J. (eds) Proceedings of the Third International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 259. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1768-8_38
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