{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:53:51Z","timestamp":1777704831655,"version":"3.51.4"},"reference-count":34,"publisher":"SAGE Publications","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,6,21]]},"abstract":"<jats:p>In this paper, a problem of scheduling jobs with different sizes and fuzzy processing times (FPT) on non-identical parallel batch machines to minimize makespan is investigated. Moreover, the processing time (PT) of each batch is subject to the location-based learning and total-PT-based deterioration effect. Since this is an NP-hard combinatorial optimization problem, an improved intelligent algorithm based on fruit fly optimization algorithm (IFOA) is proposed. To verify the performance of the algorithm, the IFOA is compared with three state-of-the-art algorithms. The comparative results demonstrate that the proposed IFOA outperforms the other compared algorithms.<\/jats:p>","DOI":"10.3233\/jifs-210196","type":"journal-article","created":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T15:40:32Z","timestamp":1619538032000},"page":"12111-12124","source":"Crossref","is-referenced-by-count":9,"title":["Scheduling parallel-batching processing machines problem with learning and deterioration effect in fuzzy environment"],"prefix":"10.1177","volume":"40","author":[{"given":"Rui","family":"Wang","sequence":"first","affiliation":[{"name":"Key Lab of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, Anhui, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaohong","family":"Jia","sequence":"additional","affiliation":[{"name":"Key Lab of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, Anhui, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai","family":"Li","sequence":"additional","affiliation":[{"name":"School of Management, Hefei University of Technology, Hefei, Anhui, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210196_ref1","doi-asserted-by":"crossref","first-page":"750","DOI":"10.1287\/opre.40.4.750","article-title":"Batching and scheduling jobs on batch and discrete processors","volume":"40","author":"Ahmadi","year":"1992","journal-title":"Operations Research"},{"key":"10.3233\/JIFS-210196_ref2","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/j.ejor.2017.05.019","article-title":"Competitive two-agent scheduling with deteriorating jobs on a single parallel-batching machine","volume":"263","author":"Tang","year":"2017","journal-title":"European Journal of Operational Research"},{"key":"10.3233\/JIFS-210196_ref3","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.apm.2017.07.028","article-title":"Singlemachine scheduling with learning effect and resource-dependent processing times in the serial-batching production","volume":"58","author":"Pei","year":"2018","journal-title":"Applied Mathematical Modelling"},{"key":"10.3233\/JIFS-210196_ref4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijpe.2015.07.021","article-title":"Effective heuristic for makespan minimization in parallel batch machines with non-identical capacities","volume":"169","author":"Jia","year":"2015","journal-title":"International Journal of Production Economics"},{"key":"10.3233\/JIFS-210196_ref5","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.ejor.2016.11.044","article-title":"Parallel batch scheduling with inclusive processing set restrictions and non-identical capacities to minimize makespan","volume":"260","author":"Li","year":"2017","journal-title":"European Journal of Operational Research"},{"key":"10.3233\/JIFS-210196_ref6","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.amc.2018.04.024","article-title":"A random-keys genetic algorithm for scheduling unrelated parallel batch processing machines with different capacities and arbitrary job sizes","volume":"334","author":"Zhou","year":"2018","journal-title":"Applied Mathematics and Computation"},{"key":"10.3233\/JIFS-210196_ref7","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1007\/s10845-015-1158-x","article-title":"An efficient chaotic based pso for earliness\/tardiness optimization in a batch processing flow shop scheduling problem","volume":"29","author":"Mokhtari","year":"2018","journal-title":"Journal of Intelligent Manufacturing"},{"key":"10.3233\/JIFS-210196_ref8","doi-asserted-by":"crossref","first-page":"3060","DOI":"10.1080\/00207543.2018.1529445","article-title":"Ant colony optimisation algorithms for two-stage permutation flow shop with batch processing machines and nonidentical job sizes","volume":"57","author":"Zheng","year":"2019","journal-title":"International Journal of Production Research"},{"key":"10.3233\/JIFS-210196_ref9","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1016\/j.ijpe.2017.09.015","article-title":"Makespan minimization in flowshop batch processing problem with different batch compositions on machines","volume":"193","author":"Matin","year":"2017","journal-title":"International Journal of Production Economics"},{"key":"10.3233\/JIFS-210196_ref10","doi-asserted-by":"crossref","first-page":"2258","DOI":"10.1080\/00207543.2013.854937","article-title":"Minimising makespan on a single batch processing machine with dynamic job arrivals and non-identical job sizes","volume":"52","author":"Zhou","year":"2014","journal-title":"International Journal of Production Research"},{"key":"10.3233\/JIFS-210196_ref11","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.eswa.2018.12.039","article-title":"An iterated greedy algorithm for solving the total tardiness parallel blocking flow shop scheduling problem","volume":"121","author":"Ribas","year":"2019","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210196_ref12","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.cor.2018.04.009","article-title":"A multi-objective differential evolution algorithm for parallel batch processing machine scheduling considering electricity consumption cost","volume":"96","author":"Zhou","year":"2018","journal-title":"Computers & Operations Research"},{"key":"10.3233\/JIFS-210196_ref13","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.asoc.2017.08.014","article-title":"A bi-objective batch processing problem with dual-resources on unrelated-parallel machines","volume":"61","author":"Shahvari","year":"2017","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210196_ref14","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/j.cie.2014.11.001","article-title":"Hybrid genetic optimization for solving the batchscheduling problem in a pharmaceutical industry","volume":"79","author":"Costa","year":"2015","journal-title":"Computers & Industrial Engineering"},{"key":"10.3233\/JIFS-210196_ref15","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1080\/21681015.2017.1407830","article-title":"Scheduling batch processing machine problem with non-identical job sizes via artificial immune system","volume":"35","author":"Chung","year":"2018","journal-title":"Journal of Industrial and Production Engineering"},{"key":"10.3233\/JIFS-210196_ref16","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1007\/s10845-014-0992-6","article-title":"Two-agent scheduling problem under fuzzy environment","volume":"28","author":"Ni","year":"2017","journal-title":"Journal of Intelligent Manufacturing"},{"key":"10.3233\/JIFS-210196_ref17","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.asoc.2017.03.004","article-title":"Parallel machine scheduling in fuzzy environment with hybrid ant colony optimization including a comparison of fuzzy number ranking methods in consideration of spread of fuzziness","volume":"56","author":"Liao","year":"2017","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210196_ref18","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.asoc.2016.12.029","article-title":"A linguistic approach to non-identical parallel processor scheduling with fuzzy processing times","volume":"55","author":"Geyik","year":"2017","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210196_ref19","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.omega.2018.06.006","article-title":"Optimization of batch operations with a truncated batch-position-based learning effect","volume":"85","author":"Cheng","year":"2019","journal-title":"Omega"},{"key":"10.3233\/JIFS-210196_ref20","doi-asserted-by":"crossref","first-page":"1642","DOI":"10.1080\/00207543.2017.1355576","article-title":"Scheduling problems under learning effects: classification and cartography","volume":"56","author":"Azzouz","year":"2018","journal-title":"International Journal of Production Research"},{"key":"10.3233\/JIFS-210196_ref21","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.ejor.2018.07.040","article-title":"A further study on two-agent parallel-batch scheduling with release dates and deteriorating jobs to minimize the makespan","volume":"273","author":"Gao","year":"2019","journal-title":"European Journal of Operational Research"},{"key":"10.3233\/JIFS-210196_ref22","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.omega.2017.12.003","article-title":"A hybrid bavns algorithm for coordinated serial-batching scheduling with deteriorating jobs, financial budget, and resource constraint in multiple manufacturers","volume":"82","author":"Pei","year":"2019","journal-title":"Omega"},{"key":"10.3233\/JIFS-210196_ref23","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/S0377-2217(98)00246-X","article-title":"Single-machine scheduling with learning considerations","volume":"115","author":"Biskup","year":"1999","journal-title":"European Journal of Operational Research"},{"key":"10.3233\/JIFS-210196_ref24","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.cie.2015.10.015","article-title":"Machine scheduling with deteriorating jobs and dejong\u2019s learning effect","volume":"91","author":"Ji","year":"2016","journal-title":"Computers & Industrial Engineering"},{"key":"10.3233\/JIFS-210196_ref25","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.knosys.2011.07.001","article-title":"A new fruit fly optimization algorithm: taking the financial distress model as an example","volume":"26","author":"Pan","year":"2012","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-210196_ref26","unstructured":"Montgomery D.C. , Design and analysis of experiments, John Wiley & Sons (2017)."},{"key":"10.3233\/JIFS-210196_ref27","doi-asserted-by":"crossref","first-page":"3501","DOI":"10.1080\/00207543.2012.750771","article-title":"Hybrid fireflysimulated annealing algorithm for the flow shop problem with learning effects and flexible maintenance activities","volume":"51","author":"VahediNouri","year":"2013","journal-title":"International Journal of Production Research"},{"key":"10.3233\/JIFS-210196_ref28","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.ins.2017.02.050","article-title":"Analyzing evolutionary optimization and community detection algorithms using regression line dominance","volume":"396","author":"Biswas","year":"2017","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-210196_ref29","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1016\/j.asoc.2018.11.027","article-title":"Ant colony optimization algorithm for scheduling jobs with fuzzy processing time on parallel batch machines with different capacities","volume":"75","author":"Jia","year":"2019","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210196_ref30","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/S0925-5273(03)00092-6","article-title":"Minimizing makespan for single machine batch processing with nonidentical job sizes using simulated annealing","volume":"87","author":"Melouk","year":"2004","journal-title":"International Journal of Production Economics"},{"key":"10.3233\/JIFS-210196_ref31","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.cie.2015.03.022","article-title":"Multi-objective parallel machine scheduling problem with job deterioration and learning effect under fuzzy environment","volume":"85","author":"Rostami","year":"2015","journal-title":"Computers and Industrial Engineering"},{"key":"10.3233\/JIFS-210196_ref32","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.swevo.2017.06.001","article-title":"A knowledge-guided multi-objective fruit fly optimization algorithm for the multi-skill resource constrained project scheduling problem","volume":"38","author":"Wang","year":"2018","journal-title":"Swarm and Evolutionary Computation"},{"key":"10.3233\/JIFS-210196_ref33","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.eswa.2016.08.039","article-title":"A two-stage adaptive fruit fly optimization algorithm for unrelated parallel machine scheduling problem with additional resource constraints","volume":"65","author":"Zheng","year":"2016","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210196_ref34","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1016\/j.jclepro.2017.09.037","article-title":"A hybrid fruit fly algorithm for solving flexible job-shop scheduling to reduce manufacturing carbon footprint","volume":"168","author":"Liu","year":"2017","journal-title":"Journal of Cleaner Production"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-210196","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:42:07Z","timestamp":1777455727000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-210196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,21]]},"references-count":34,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.3233\/jifs-210196","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,21]]}}}