Abstract
This paper presents a new constructive heuristic, based on the principle of job insertion, for minimizing makespan in no-wait permutation flow shop scheduling problems. Empirical results demonstrate the superiority of the proposed approach over four of the best-known methods in the literature. Analytical expressions for the total number of partial and complete sequences generated by the algorithms are derived. Statistical tests of significance substantiate the improvement in solution quality.
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References
Hall NG, Sriskandarajah C (1996) A survey of machine scheduling problems with blocking and no-wait in process. Oper Res 44:510–525
Rajendran C, Chaudhuri D (1990) Heuristic algorithms for continuous flow shop problem. Nav Res Logist 37:695–705
Aldowaisan T (2001) A new heuristic and dominance relations for no-wait flow shops with setups. Comput Oper Res 28:563–584
Aldowaisan T, Allahverdi A (1998) Total flowtime in no-wait flow shops with setup times. Comput Oper Res 25:757–765
Aldowaisan T, Allahverdi A (2004) A new heuristic for m-machine no-wait flow shop to minimize total completion time. Omega 32:345–352
Allahverdi A, Aldowaisan T (2000) No-wait and separate setup three-machine flow shop with total completion time criterion. Int Trans Oper Res 7:245–264
Allahverdi A, Aldowaisan T (2001) Minimizing total completion time in a no-wait flow shop with sequence dependent additive changeover times. J Oper Res Soc 52:449–462
Adiri I, Pohoryles D (1982) Flow shop/no-idle or no-wait scheduling to minimize the sum of completion times. Nav Res Logist 29:495–504
Kumar A, Prakash A, Shankar R, Tiwari MK (2006) Psycho-clonal algorithm based approach to solve continuous flow shop scheduling problem. Expert Syst Appl 31:504–514
Bertolissi E (2000) Heuristic algorithm for scheduling in the no-wait flow-shop. J Mater Process Technol 107:459–465
van der Veen JAA, van dal R (1991) Solvable cases of the no-wait flow shop scheduling problem. J Oper Res Soc 42:971–980
Chen C, Neppalli RV, Aljaber N (1996) Genetic algorithms applied to the continuous flow shop problem. Comput Ind Eng 30:919–929
Reddi SS, Ramamoorthy CV (1972) On the flow shop sequencing problem with no-wait in process. Oper Res Q 23:323–331
Wismer DA (1972) Solution of the flow shop-scheduling with no intermediate queues. Oper Res 29:689–697
Bonney MC, Gundry SW (1976) Solutions to the constrained flow shop sequencing problem. Oper Res Q 24:869–883
King JR, Spachis AS (1980) Heuristics for flow shop scheduling. Int J Prod Res 18:343–357
Rajendran C (1994) A no-wait flow shop scheduling heuristic to minimize makespan. J Oper Res Soc 45:472–478
Gangadharan R, Rajendran C (1993) Heuristic algorithms for scheduling in no-wait flow shop. Int J Prod Econ 32:285–290
Aldowaisan T, Allahverdi A (2003) New heuristics for no-wait flow shops to minimize makespan. Comput Oper Res 30:1219–1231
Grabowski J, Pempera J (2007) The permutation flow shop problem with blocking. Omega 35:302–311
Glover F (1989) Tabu search: Part I. ORSA J Comput 1:190–206
Glover F (1990) Tabu search: Part II. ORSA J Comput 2:4–32
Schuster CJ, Framinan JM (2003) Approximate procedures for no-wait job shop scheduling. Oper Res Lett 31:308–318
Hansen P, Mladenovic N (2001) Variable neighborhood search: Principles and applications. Eur J Oper Res 130:449–467
Wang L, Zheng D (2001) An effective hybrid optimization strategy for job-shop scheduling problems. Comput Oper Res 28:585–596
Guinet A, Legrand M (1998) Reduction of job-shop problems to flow-shop problems with precedence constraints. Eur J Oper Res 109:96–110
Carlier J (1978) Ordonnancements a contraintes disjonctives. RAIRO Rech Oper/Oper Res 12:333–351
Heller J (1960) Some numerical experiments for an M×J flow shop and its decision-theoretical aspects. Oper Res 8:178–184
Reeves CR (1995) A genetic algorithm for flow shop sequencing. Comput Oper Res 22:5–13
Fink A, Voß S (2003) Solving the continuous flow-shop scheduling problem by metaheuristics. Eur J Oper Res 151:400–414
Nawaz M, Enscore E, Ham I (1983) A heuristic algorithm for the m-machine, n-shop sequencing problem. Omega 11:91–95
Taillard E (1990) Some efficient heuristic methods for the flow shop sequencing problem. Eur J Oper Res 47:67–74
Ruiz R, Maroto C (2005) A comprehensive review and evaluation of permutation flow shop heuristics. Eur J Oper Res 165:479–494
Osman IH, Potts CN (1989) Simulated annealing for permutation flow-shop scheduling. Omega 17:551–557
Campbell HG, Dudek RA, Smith ML (1970) A heuristic algorithm for the n job m machine sequencing problem. Manage Sci 16:630–637
Dannenbring DG (1977) An evaluation of flow-shop sequencing heuristic. Manage Sci 23:1174–1182
Parthasarathy S, Rajendran C (1997) A simulated annealing heuristic for scheduling to minimize mean weighted tardiness in a flow shop with sequence-dependent setup times of jobs - a case study. Prod Plann Contr 8:475–483
Chakravarthy K, Rajendran C (1999) A heuristic for scheduling in a flow shop with the bicriteria of makespan and maximum tardiness minimization. Prod Plann Contr 10:707–714
Laha D, Chakraborty UK (2007) An efficient stochastic hybrid heuristic for flowshop scheduling. Eng Appl Artif Intell 20:851–856
Laha D, Chakraborty UK (2007) An efficient heuristic approach to total flowtime minimization in permutation flowshop scheduling. Int J Adv Manuf Technol. DOI 10.1007/s00170–007–1156-z
Chakraborty UK, Laha D (2007) An improved heuristic for permutation flowshop scheduling. International Journal of Information & Communication Technology 1:89–97
Kreyszig E (1972) Advanced Engineering Mathematics. Wiley, New York
Liu J, Reeves CR (2001) Constructive and composite heuristics solution of the \(P||\sum {C_i } \) scheduling problem. Eur J Oper Res 132:439–452
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Laha, D., Chakraborty, U.K. A constructive heuristic for minimizing makespan in no-wait flow shop scheduling. Int J Adv Manuf Technol 41, 97–109 (2009). https://doi.org/10.1007/s00170-008-1454-0
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DOI: https://doi.org/10.1007/s00170-008-1454-0