Abstract
A calibration laboratory studied in this research performs a thermal test that requires an analyst for setup and processing and an oven to perform such an essay. For convenience, it’s possible to group some of the essays according to the oven capacity. In this scenario, this paper proposes a scheduling approach to minimize the total flowtime of the orders. This is a multiple resource scheduling problem, where a resource (operator) is used on two processes (oven setup and analysis). In contrast to the classical definition of multiple resource scheduling problems, the oven setup process requires the presence of the operator only for the startup of the process. To solve this problem, we derived: (i) a mixed-integer formulation; (ii) an Ant Colony Optimization (ACO) approach. On those developments, we also discuss some structural properties of this problem, that may lead to further advances in this field in the future. Our results show the ACO approach as a good alternative to the MIP, especially when solving instances with 30 service orders.
This research was supported by CAPES, CNPq (407104/2016-0) and FAPESP (2010/10133-0).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
For convenience, the dummy node \(i=0\) is not represented here.
References
Allahverdi, A., Ng, C., Cheng, T., Kovalyov, M.Y.: A survey of scheduling problems with setup times or costs. Eur. J. Oper. Res. 187(3), 985–1032 (2008). https://doi.org/10.1016/j.ejor.2006.06.060. http://www.sciencedirect.com/science/article/pii/S0377221706008174
Behnamian, J., Ghomi, S.F., Jolai, F., Amirtaheri, O.: Realistic two-stage flowshop batch scheduling problems with transportation capacity and times. Appl. Math. Model. 36(2), 723–735 (2012). https://doi.org/10.1016/j.apm.2011.07.011. http://www.sciencedirect.com/science/article/pii/S0307904X1100391X
Belaid, R., Tkindt, V., Esswein, C.: Scheduling batches in flowshop with limited buffers in the shampoo industry. Eur. J. Oper. Res. 223(2), 560–572 (2012). https://doi.org/10.1016/j.ejor.2012.06.035. http://www.sciencedirect.com/science/article/pii/S0377221712004900
Blum, C.: Beam-ACO-hybridizing ant colony optimization with beam search: an application to open shop scheduling. Comput. Oper. Res. 32(6), 1565–1591 (2005)
Braekers, K., Ramaekers, K., Nieuwenhuyse, I.V.: The vehicle routing problem: state of the art classification and review. Comput. Ind. Eng. 99, 300–313 (2016). https://doi.org/10.1016/j.cie.2015.12.007. http://www.sciencedirect.com/science/article/pii/S0360835215004775
Cordeau, J.F., Laporte, G., Savelsbergh, M.W., Vigo, D.: Vehicle routing. In: Barnhart, C., Laporte, G. (eds.) Handbooks in Operations Research and Management Science: Transportation, vol. 14, pp. 367–428. Elsevier, Amsterdam (2007). https://doi.org/10.1016/S0927-0507(06)14006-2. http://www.sciencedirect.com/science/article/pii/S0927050706140062
Dastidar, S.G., Nagi, R.: Scheduling injection molding operations with multiple resource constraints and sequence dependent setup times and costs. Comput. Oper. Res. 32(11), 2987–3005 (2005). https://doi.org/10.1016/j.cor.2004.04.012. http://www.sciencedirect.com/science/article/pii/S0305054804000899
Dorigo, M., Maniezzo, V., Colorni, A.: The ant system: optimization by a colony or cooperating agents. IEEE Trans. Syst. Man Cybern.-Part B 26, 29–41 (1996)
Dorigo, M., StĂ¼tzle, T.: Ant Colony Optimization. MIT Press, Cambridge (2004)
Dorigo, M., Blum, C.: Ant colony optimization theory: a survey. Theor. Comput. Sci. 344(2–3), 243–278 (2005). https://doi.org/10.1016/j.tcs.2005.05.020
Dorigo, M., Gambardella, L.M.: Ant colony system: a cooperative learning approach to the traveling salesman problem. IEEE Trans. Evol. Comput. 1, 53–66 (1997)
Ham, A.: Scheduling of dual resource constrained lithography production: using CP and MIP/CP. IEEE Trans. Semicond. Manuf. 31(1), 52–61 (2018). https://doi.org/10.1109/TSM.2017.2768899
Li, J., Huang, Y., Niu, X.: A branch population genetic algorithm for dual-resource constrained job shop scheduling problem. Comput. Ind. Eng. 102, 113–131 (2016). https://doi.org/10.1016/j.cie.2016.10.012. http://www.sciencedirect.com/science/article/pii/S0360835216303813
Liao, C.J., Liao, L.M.: Improved MILP models for two-machine flowshop with batch processing machines. Math. Comput. Model. 48(7), 1254–1264 (2008). https://doi.org/10.1016/j.mcm.2008.01.001. http://www.sciencedirect.com/science/article/pii/S089571770800040X
Lpez-Ibez, M., Dubois-Lacoste, J., Cceres, L.P., Birattari, M., Sttzle, T.: The irace package: iterated racing for automatic algorithm configuration. Oper. Res. Perspect. 3, 43–58 (2016)
Merkle, D., Middendorf, M., Schmeck, H.: Ant colony optimization for resource-constrained project scheduling. IEEE Trans. Evol. Comput. 6(4), 333–346 (2002). https://doi.org/10.1109/TEVC.2002.802450
Rajendran, C., Ziegler, H.: Ant-colony algorithms for permutation flowshop scheduling to minimize makespan/total flowtime of jobs. Eur. J. Oper. Res. 155(2), 426–438 (2004). http://ideas.repec.org/a/eee/ejores/v155y2004i2p426-438.html
Smith, W.E.: Various optimizers for single state production. Naval Res. Logist. Q. 3, 59–66 (1956)
Tang, L., Liu, P.: Minimizing makespan in a two-machine flowshop scheduling with batching and release time. Math. Comput. Model. 49(5), 1071–1077 (2009). https://doi.org/10.1016/j.mcm.2008.09.012. http://www.sciencedirect.com/science/article/pii/S0895717708003476
Wang, W., Ma, C., Bao, Z., Ren, X.: A multi-objective model of integrated collaborative planning and scheduling for dual-resource and its algorithm. In: 2016 8th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), vol. 1, pp. 400–403, August 2016. https://doi.org/10.1109/IHMSC.2016.154
Xu, J., Xu, X., Xie, S.: Recent developments in dual resource constrained (DRC) system research. Eur. J. Oper. Res. 215(2), 309–318 (2011). https://doi.org/10.1016/j.ejor.2011.03.004. http://www.sciencedirect.com/science/article/pii/S0377221711002153
Zaerpour, F., Bischak, D.P., Menezes, M.B.: Coordinated lab-clinics: a tactical assignment problem in healthcare. Eur. J. Oper. Res. 263(1), 283–294 (2017). https://doi.org/10.1016/j.ejor.2017.05.012. http://www.sciencedirect.com/science/article/pii/S037722171730440X
Zhang, Y., Liu, S., Sun, S.: Clustering and genetic algorithm based hybrid flowshop scheduling with multiple operations. Math. Prob. Eng. 2014, 8 p. (2014). Article ID 167073. https://doi.org/10.1155/2014/167073
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Tavares Neto, R., Molina da Silva, F. (2019). Scheduling Simultaneous Resources: A Case Study on a Calibration Laboratory. In: Blesa Aguilera, M., Blum, C., Gambini Santos, H., Pinacho-Davidson, P., Godoy del Campo, J. (eds) Hybrid Metaheuristics. HM 2019. Lecture Notes in Computer Science(), vol 11299. Springer, Cham. https://doi.org/10.1007/978-3-030-05983-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-05983-5_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-05982-8
Online ISBN: 978-3-030-05983-5
eBook Packages: Computer ScienceComputer Science (R0)