Abstract
Tardiness time constraints with an unknown due date, which have a broad range of applications in the manufacturing, mechanical, electrical, and other industries, are crucial in the research domains. Suppose a scheduling problem where the goal for assigning due dates is to create those as tight as feasible, but the goal for sequencing jobs is to minimize their tardiness. In the instance of a stochastic single-machine model with uniformly distributed task durations, we develop a variant of this market. This paper clarifies how to set a strict deadline and reduce job tardiness by determining the best order of the projects through two distinct phases. We create a genetic algorithm approach expected to find tightness of the due date of the issue and then compare it against a heuristic solution. These algorithms perform better than heuristic methods, and they also fit for small-scale non-parallel machine tardiness scheduling problems, according to numerical computational results focused on the various machine scheduling problems.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Data availability
Data for this article were gathered from Geebon Small Scale Industry in Chennai.
Abbreviations
- B j :
-
Service-level target
- SD:
-
Standard deviation for jth job
- VR:
-
Variance
- CVR:
-
Cumulative variance
- t j :
-
Square root of the CVR
- M j :
-
Cumulative mean
- [B j R]:
-
Smallest integer greater than or equal to BjR
- GM:
-
Genetic algorithm
- SEPT:
-
Shortest expected processing time
- LPT:
-
Longest processing time
References
Akbar M, Irohara T, Trade-off between tardiness and workload balance, In: IFIP international conference on advances in production management systems (APMS), Sep 2019, Austin, TX, United States. pp 206–213
Asta S, Karapetyan D, Kheiri A et al (2016) Combining monte-carlo and hyper-heuristic methods for the multi-mode resource-constrained multi-project scheduling problem. Inf Sci 373:476–498
Bleichrodt H (2002) A new explanation for the difference between time trade-o¡ utilities and standard gamble utilities. Health Econ 11:447–456
Cheng C-Y, Chen T-L, Wang L-C, Chen Y-Y (2013) A genetic algorithm for the multi-stage and parallel machine scheduling problem with job splitting – a case study for the solar cell industry. Int J Prod Res 51:4755–4777
Choi SH, Wang K (2012) Flexible flow shop scheduling with stochastic processing times: A decomposition-based approach. Comput Ind Eng 63:362–373
Don Taylor G, Venkataraman S, Sadiq M (1996) An evaluation of flow-shop scheduling algorithms for makespan reduction in a stochastic environment. Prod Plan Control 7:129–143
Drexl A, Kimms A, Matthießen L (2006) Algorithms for the car sequencing and the level scheduling problem. J Sched 9:153–176
Elyasi A, Salmasi N (2013) Stochastic flow-shop scheduling with minimizing the expected number of tardy jobs. Int J Adv Manuf Technol 66:337–346
Elyasi A, Salmasi N, Stochastic scheduling with minimizing the number of tardy jobs using chance constrained programming, 2013
Forst FG (1983) Minimizing total expected costs in the two machine stochastic flow shop. Oper Res Lett 2:58–61
Framinan JM, Perez-Gonzalez P (2015) On heuristic solutions for the stochastic flowshop scheduling problem. Eur J Oper Res 246:413–420
Fu Y, Ding J, Wang H, Wang J (2018) Two-objective stochastic flow-shop scheduling with deteriorating and learning effect in industry 4.0-based, manufacturing system. Appl Soft Comput 68:847–855
Gourgand M, Grangeon N, Norre S (2003) A contribution to the stochastic flow shop scheduling problem. Eur J Oper Res 151:415–433
Guevara-Guevara AR, Gómez-Fuentes V, Posos-Rodríguez L, Remolina-Gómez N, González-Neira E (2022) Earliness/tardiness minimization in a no-wait flow shop with sequence-dependent setup times. J Proj Manag 7:177–190
Janaki E, Mohamed Ismail A, Flow shop scheduling model for three machine without job block criteria using branch& bound technique, J Adv Res Dyn Control Syst 10, 05-Special Issue, 2018
Jing W, Yongsheng Z, Haoxiong Y, Hao Z, A trade-off pareto solution algorithm for multi-objective optimization based on particle swarm optimization, 978–0–7695–4690–2/12, IEEE, 2012
Kalczynski PJ, Kamburowski J (2004) Generalization of Johnson’s and Talwar’s scheduling rules in two-machine stochastic flow shops. J Oper Res Soc 55:1358–1362
King JR, Spachis AS (1980) Heuristics for flow-shop scheduling. Int J Prod Res 18(3):345–357
Rajendran C (1993) Heuristic algorithm for scheduling in a flow shop to minimize total flowtime. Int J Prod Econ 29(1):65–73
Ronconi DP, Kawamura MS (2010) The single machine earliness and tardiness scheduling problem: lower bounds and a branch-and-bound algorithm”. Comput Appl Math 29:107–124
Rossiter JA, Wang L, Valencia-Palomo G (2010) Efficient algorithms for trading off feasibility and performance in predictive control. Int J Cont 83:789–797
Steinhofel K, Albrecht A, Wong CK (2002) The convergence of stochastic algorithms solving flow shop scheduling. Theoret Comput Sci 285:101–117
Suresh S, Foley RD, Elizabeth Dickey S (1985) On Pinedo’s conjecture for scheduling in a stochastic flow shop. Oper Res 33(5):1146–1153
Tang L, Li K (2009) An inherited tabu search algorithm for the truck and trailer vehicle scheduling problem in iron and steel industry. ISIJ Int 49(1):51–57
Wang K, Choi SH (2010) Solving stochastic flexible flow shop scheduling problems with a decomposition-based approach. Am Inst Phys 1247:374
Wang S, Mason SJ, Gangammanavar H (2020) Stochastic optimization for flow-shop scheduling with on-site renewable energy generation using a case in the United States. Comput Ind Eng 149:106812
Zhang QF, Li H (2007) MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evol Comput 11(6):712–731
Funding
No funding is involved in this work.
Author information
Authors and Affiliations
Contributions
There is no authorship contribution.
Corresponding author
Ethics declarations
Conflict of interest
Conflict of interest is not applicable in this work.
Ethics approval and consent to participate
No participation of humans takes place in this implementation process.
Human and animal rights
No violation of human and animal rights is involved.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Janaki, E., Ismail, A.M. Using the genetic algorithm to reduce tardiness by tightening the deadline date for stochastic processing. Soft Comput (2023). https://doi.org/10.1007/s00500-023-08728-2
Accepted:
Published:
DOI: https://doi.org/10.1007/s00500-023-08728-2