Document Zbl 1305.90196

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J. Oper. Res.</a> <a href="/?q=in%3A341857" title="Articles in this Issue">235, No. 1, 1-16 (2014)</a>. </div> <div class="abstract">Summary: Most classical scheduling research assumes that the objectives sought are common to all jobs to be scheduled. However, many real-life applications can be modeled by considering different sets of jobs, each one with its own objective(s), and an increasing number of papers addressing these problems has appeared over the last few years. Since so far the area lacks a unified view, the studied problems have received different names (such as interfering jobs, multi-agent scheduling, and mixed-criteria), some authors do not seem to be aware of important contributions in related problems, and solution procedures are often developed without taking into account existing ones. Therefore, the topic is in need of a common framework that allows for a systematic recollection of existing contributions, as well as a clear definition of the main research avenues. In this paper we review multicriteria scheduling problems involving two or more sets of jobs and propose an unified framework providing a common definition, name and notation for these problems. Moreover, we systematically review and classify the existing contributions in terms of the complexity of the problems and the proposed solution procedures, discuss the main advances, and point out future research lines in the topic.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6405977">Cited in <strong>62</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90B35" title="MSC2020">90B35</a> </td> <td class="space"> Deterministic scheduling theory in operations research </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C29" title="MSC2020">90C29</a> </td> <td class="space"> Multi-objective and goal programming </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Ascheduling">scheduling</a>; <a href="/?q=ut%3Ainterfering+jobs">interfering jobs</a>; <a href="/?q=ut%3Amulti-customer">multi-customer</a>; <a href="/?q=ut%3Amulti-agent+scheduling+problems">multi-agent scheduling problems</a>; <a href="/?q=ut%3Asets+of+jobs">sets of jobs</a>; <a href="/?q=ut%3Amulticriteria">multicriteria</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.90196" data-ciurl="/ci/06405977" data-biburl="/bibtex/06405977.bib" data-amsurl="/amsrefs/06405977.bib" data-xmlurl="/xml/06405977.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06405977.pdf" title="Zbl 1305.90196 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ejor.2013.09.017" aria-label="DOI for “A common framework and taxonomy for multicriteria scheduling problems with interfering and competing jobs: multi-agent scheduling problems”" title="10.1016/j.ejor.2013.09.017">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://idus.us.es/xmlui/handle/11441/23399" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Agnetis, A.; De Pascale, G.; Pacciarelli, D., A lagrangian approach to single-machine scheduling problems with two competing agents, Journal of Scheduling, 12, 4, 401-415 (2009) · <a href="/1185.90063" class="nowrap">Zbl 1185.90063</a></td> </tr><tr> <td>[2]</td> <td class="space">Agnetis, A.; De Pascale, G.; Pranzo, M., Computing the nash solution for scheduling bargaining problems, International Journal of Operational Research, 6, 1, 54-69 (2009) · <a href="/1169.90354" class="nowrap">Zbl 1169.90354</a></td> </tr><tr> <td>[3]</td> <td class="space">Agnetis, A.; Mirchandani, P. B.; Pacciarelli, D.; Pacifici, A., Nondominated schedules for a job-shop with two competing users, Computational and Mathematical Organization Theory, 6, 2, 191 (2000)</td> </tr><tr> <td>[4]</td> <td class="space">Agnetis, A.; Mirchandani, P. B.; Pacciarelli, D.; Pacifici, A., Scheduling problems with two competing agents, Operations Research, 52, 2, 229-242 (2004) · <a href="/1165.90446" class="nowrap">Zbl 1165.90446</a></td> </tr><tr> <td>[5]</td> <td class="space">Agnetis, A.; Pacciarelli, D.; Pacifici, A., Combinatorial models for multi-agent scheduling problems, (Levner, E., Multiprocessor scheduling: Theory and applications (2007), I-TECH Education and Publishing: I-TECH Education and Publishing Vienna, Austria), 21-46</td> </tr><tr> <td>[6]</td> <td class="space">Agnetis, A.; Pacciarelli, D.; Pacifici, A., Multi-agent single machine scheduling, Annals of Operations Research, 150, 1, 3-15 (2007) · <a href="/1144.90375" class="nowrap">Zbl 1144.90375</a></td> </tr><tr> <td>[7]</td> <td class="space">Arbib, C.; Smriglio, S.; Servilio, M., A competitive scheduling problem and its relevance to umts channel assignment, Networks, 44, 2, 132-141 (2004) · <a href="/1055.90031" class="nowrap">Zbl 1055.90031</a></td> </tr><tr> <td>[8]</td> <td class="space">Baker, K. R.; Smith, J. C., A multiple-criterion model for machine scheduling, Journal of Scheduling, 6, 1, 7-16 (2003) · <a href="/1154.90406" class="nowrap">Zbl 1154.90406</a></td> </tr><tr> <td>[9]</td> <td class="space">Balaji, P. G.; Srinivasan, D., An introduction to multi-agent systems, (Innovations in multi-agent systems and applications (2010), Springer-Verlag: Springer-Verlag Berlin Heidelberg), 1-27 · <a href="/1198.68263" class="nowrap">Zbl 1198.68263</a></td> </tr><tr> <td>[10]</td> <td class="space">Balasubramanian, H.; Fowler, J.; Keha, A.; Pfund, M., Scheduling interfering job sets on parallel machines, European Journal of Operational Research, 199, 1, 55-67 (2009) · <a href="/1176.90193" class="nowrap">Zbl 1176.90193</a></td> </tr><tr> <td>[13]</td> <td class="space">Cassady, C. R.; Kutanoglu, E., Minimizing job tardiness using integrated preventive maintenance planning and production scheduling, IIE Transactions, 35, 6, 503-513 (2003)</td> </tr><tr> <td>[14]</td> <td class="space">Cheng, T. C.E.; Cheng, S. R.; Wu, W. H.; Hsu, P. H.; Wu, C. C., A two-agent single-machine scheduling problem with truncated sum-of-processing-times-based learning considerations, Computers and Industrial Engineering, 60, 4, 534-541 (2011)</td> </tr><tr> <td>[16]</td> <td class="space">Cheng, T. C.E.; Ng, C. T.; Yuan, J. J., Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs, Theoretical Computer Science, 362, 1-3, 273-281 (2006) · <a href="/1100.68007" class="nowrap">Zbl 1100.68007</a></td> </tr><tr> <td>[17]</td> <td class="space">Cheng, T. C.E.; Ng, C. T.; Yuan, J. J., Multi-agent scheduling on a single machine with max-form criteria, European Journal of Operational Research, 188, 2, 603-609 (2008) · <a href="/1129.90023" class="nowrap">Zbl 1129.90023</a></td> </tr><tr> <td>[18]</td> <td class="space">Cheng, T. C.E.; Wu, W. H.; Cheng, S. R.; Wu, C. C., Two-agent scheduling with position-based deteriorating jobs and learning effects, Applied Mathematics and Computation, 217, 21, 8804-8824 (2011) · <a href="/1231.90182" class="nowrap">Zbl 1231.90182</a></td> </tr><tr> <td>[19]</td> <td class="space">Coudert, T.; Grabot, B.; Archimede, B., Production/maintenance cooperative scheduling using multi-agents and fuzzy logic, International Journal of Production Research, 40, 18, 4611-4632 (2002) · <a href="/1023.90505" class="nowrap">Zbl 1023.90505</a></td> </tr><tr> <td>[20]</td> <td class="space">Ding, G.; Sun, S., Single-machine scheduling problems with two agents competing for makespan, Lecture Notes in Computer Science, 6328, PART 1, 244-255 (2010)</td> </tr><tr> <td>[21]</td> <td class="space">Ding, G.; Sun, S., Single machine family scheduling with two competing agents to minimize makespan, Asia-Pacific Journal of Operational Research, 28, 6, 773-785 (2011) · <a href="/1232.90207" class="nowrap">Zbl 1232.90207</a></td> </tr><tr> <td>[22]</td> <td class="space">Ehrgott, M., Multicriteria optimization (2005), Springer · <a href="/1132.90001" class="nowrap">Zbl 1132.90001</a></td> </tr><tr> <td>[23]</td> <td class="space">Elvikis, D.; T’kindt, V., Two-agent scheduling on uniform parallel machines with min-max criteria, Annals of Operations Research, 1-16 (2012)</td> </tr><tr> <td>[26]</td> <td class="space">Elvikis, D.; Hamacher, H. W.; T’kindt, V., Scheduling two agents on uniform parallel machines with-makespan and cost functions, Journal of Scheduling, 14, 5, 471-481 (2010) · <a href="/1280.90042" class="nowrap">Zbl 1280.90042</a></td> </tr><tr> <td>[29]</td> <td class="space">Feng, D.; Yuan, J. J., Np-hardness of a multicriteria scheduling on two families of jobs, OR Transactions, 114, 121-126 (2007)</td> </tr><tr> <td>[30]</td> <td class="space">Garey, M. R.; Johnson, S. M., Computers and intractability: A guide to the theory of NP-completeness (1979), Freeman: Freeman New York · <a href="/0411.68039" class="nowrap">Zbl 0411.68039</a></td> </tr><tr> <td>[31]</td> <td class="space">Gawiejnowicz, S., Time-dependent scheduling. Time-dependent scheduling, Monographs in theoretical computer science (2008), Springer · <a href="/1155.90004" class="nowrap">Zbl 1155.90004</a></td> </tr><tr> <td>[33]</td> <td class="space">Gawiejnowicz, S.; Lee, W. C.; Lin, C. L.; Wu, C. C., Single-machine scheduling of proportionally deteriorating jobs by two agents, Journal of the Operational Research Society, 62, 11, 1983-1991 (2011)</td> </tr><tr> <td>[34]</td> <td class="space">Graham, R.; Lawler, E. L.; Lenstra, J.; Rinnooy Kan, A. H.G., Optimization and approximation in deterministic sequencing and scheduling: A survey, Annals of Discrete Mathematics, 5, 287-326 (1979) · <a href="/0411.90044" class="nowrap">Zbl 0411.90044</a></td> </tr><tr> <td>[35]</td> <td class="space">Hall, N. G.; Potts, C. N., Rescheduling for new orders, Operations Research, 52, 3, 440-453 (2004) · <a href="/1165.90456" class="nowrap">Zbl 1165.90456</a></td> </tr><tr> <td>[36]</td> <td class="space">Herrmann, J. W., Rescheduling strategies, policies, and methods, (Handbook of production scheduling. Handbook of production scheduling, International series in operations research and management science, Vol. 89 (2006), Springer), 135-148 · <a href="/1090.90516" class="nowrap">Zbl 1090.90516</a></td> </tr><tr> <td>[37]</td> <td class="space">Hoogeveen, H., Multicriteria scheduling, European Journal of Operational Research, 167, 3, 592-623 (2005) · <a href="/1154.90458" class="nowrap">Zbl 1154.90458</a></td> </tr><tr> <td>[42]</td> <td class="space">Huynh-Tuong, N.; Soukhal, A.; Billaut, J. C., Single-machine multi-agent scheduling problems with a global objective function, Journal of Scheduling, 15, 3, 311-321 (2011) · <a href="/1280.90074" class="nowrap">Zbl 1280.90074</a></td> </tr><tr> <td>[43]</td> <td class="space">Kellerer, H.; Strusevich, V. A., Fully polynomial approximation schemes for a symmetric quadratic knapsack problem and its scheduling applications, Algoritmica, 57, 4, 769-795 (2010) · <a href="/1208.90149" class="nowrap">Zbl 1208.90149</a></td> </tr><tr> <td>[45]</td> <td class="space">Khelifati, S. L.; Bouzid-Sitayeb, F., A multi-agent scheduling approach for the joint scheduling of jobs and maintenance operations in the flow shop sequencing problem, Lecture Notes in Computer Science, 6923 LNAI, PART 2, 60-69 (2011)</td> </tr><tr> <td>[46]</td> <td class="space">Lawler, E. L.; Lenstra, J.; Rinnooy Kan, A. H.G.; Shyu, S. J., Sequencing and scheduling: Algorithms and complexitiy, (Handbooks in operations research and management science. Handbooks in operations research and management science, Logistics of production and inventory, Vol. 4 (1993), Elsevier Science Publishers) · <a href="/0798.90028" class="nowrap">Zbl 0798.90028</a></td> </tr><tr> <td>[47]</td> <td class="space">Lee, W. C.; Chen, S. K.; Chen, C. W.; Wu, C. C., A two-machine flowshop problem with two agents, Computers and Operations Research, 38, 1, 98-104 (2011) · <a href="/1231.90204" class="nowrap">Zbl 1231.90204</a></td> </tr><tr> <td>[48]</td> <td class="space">Lee, W. C.; Chen, S. K.; Wu, C. C., Branch-and-bound and simulated annealing algorithms for a two-agent scheduling problem, Expert Systems with Applications, 37, 9, 6594-6601 (2010)</td> </tr><tr> <td>[49]</td> <td class="space">Lee, K.; Choi, B. C.; Leung, J. Y.T.; Pinedo, M. L., Approximation algorithms for multi-agent scheduling to minimize total weighted completion time, Information Processing Letters, 109, 16, 913-917 (2009) · <a href="/1205.68516" class="nowrap">Zbl 1205.68516</a></td> </tr><tr> <td>[50]</td> <td class="space">Leung, J. Y.T.; Pinedo, M. L.; Wan, G., Competitive two-agent scheduling and its applications, Operations Research, 58, 2, 458-469 (2010) · <a href="/1233.90163" class="nowrap">Zbl 1233.90163</a></td> </tr><tr> <td>[51]</td> <td class="space">Li, S.; Yuan, J., Unbounded parallel-batching scheduling with two competitive agents, Journal of Scheduling, 15, 5, 629-640 (2012) · <a href="/1280.90061" class="nowrap">Zbl 1280.90061</a></td> </tr><tr> <td>[52]</td> <td class="space">Li, C. L.; Cheng, T. C.E., Due-date determination with resequencing, IIE Transactions, 31, 2, 183-188 (1999)</td> </tr><tr> <td>[53]</td> <td class="space">Li, D. C.; Hsu, P. H., Solving a two-agent single-machine scheduling problem considering learning effect, Computers and Operations Research, 39, 7, 1644-1651 (2011) · <a href="/1251.90165" class="nowrap">Zbl 1251.90165</a></td> </tr><tr> <td>[56]</td> <td class="space">Liu, P.; Tang, L., Two-agent scheduling with linear deteriorating jobs on a single machine, Lecture Notes in Computer Science, 5092, 642-650 (2008) · <a href="/1148.90324" class="nowrap">Zbl 1148.90324</a></td> </tr><tr> <td>[57]</td> <td class="space">Liu, P.; Tang, L.; Zhou, X., Two-agent group scheduling with deteriorating jobs on a single machine, International Journal of Advanced Manufacturing Technology, 47, 5-8, 657-664 (2010)</td> </tr><tr> <td>[58]</td> <td class="space">Liu, P.; Yi, N.; Zhou, X., Two-agent single-machine scheduling problems under increasing linear deterioration, Applied Mathematical Modelling, 35, 5, 2290-2296 (2011) · <a href="/1217.90108" class="nowrap">Zbl 1217.90108</a></td> </tr><tr> <td>[59]</td> <td class="space">Liu, P.; Zhou, X.; Tang, L., Two-agent single-machine scheduling with position-dependent processing times, International Journal of Advanced Manufacturing Technology, 48, 1-4, 325-331 (2010)</td> </tr><tr> <td>[60]</td> <td class="space">Luo, W.; Chen, L.; Zhang, G., Approximation schemes for two-machine flow shop scheduling with two agents, Journal of Combinatorial Optimization, 24, 3, 229-239 (2012) · <a href="/1261.90019" class="nowrap">Zbl 1261.90019</a></td> </tr><tr> <td>[61]</td> <td class="space">Meiners, C. R.; Torng, E., Mixed criteria packet scheduling, Lecture Notes in Computer Science, 4508, 120-133 (2007) · <a href="/1137.90507" class="nowrap">Zbl 1137.90507</a></td> </tr><tr> <td>[62]</td> <td class="space">Minella, G.; Ruiz, R.; Ciavotta, M., A review and evaluation of multiobjective algorithms for the flowshop scheduling problem, INFORMS Journal on Computing, 20, 3, 451-471 (2008) · <a href="/1243.90069" class="nowrap">Zbl 1243.90069</a></td> </tr><tr> <td>[64]</td> <td class="space">Mor, B.; Mosheiov, G., Scheduling problems with two competing agents to minimize minmax and minsum earliness measures, European Journal of Operational Research, 206, 3, 540-546 (2010) · <a href="/1188.90103" class="nowrap">Zbl 1188.90103</a></td> </tr><tr> <td>[65]</td> <td class="space">Mor, B.; Mosheiov, G., Single machine batch scheduling with two competing agents to minimize total flowtime, European Journal of Operational Research, 215, 3, 524-531 (2011) · <a href="/1238.90069" class="nowrap">Zbl 1238.90069</a></td> </tr><tr> <td>[70]</td> <td class="space">Ng, C. T.; Cheng, T. C.E.; Yuan, J. J., A note on the complexity of the problem of two-agent scheduling on a single machine, Journal of Combinatorial Optimization, 12, 4, 386-393 (2006) · <a href="/1126.90027" class="nowrap">Zbl 1126.90027</a></td> </tr><tr> <td>[71]</td> <td class="space">Nong, Q. Q.; Cheng, T. C.E.; Ng, C. T., Two-agent scheduling to minimize the total cost, European Journal of Operational Research, 215, 1, 39-44 (2011) · <a href="/1237.90094" class="nowrap">Zbl 1237.90094</a></td> </tr><tr> <td>[72]</td> <td class="space">Peha, J. M., Heterogeneous-criteria scheduling: Minimizing weighted number of tardy jobs and weighted completion time, Computers and Operations Research, 22, 10, 1089-1100 (1995) · <a href="/0838.90067" class="nowrap">Zbl 0838.90067</a></td> </tr><tr> <td>[73]</td> <td class="space">Peha, J. M.; Tobagi, F. A., Evaluating scheduling algorithms for traffic with heterogeneous performance objectives, (Global telecommunications conference, 1990, and exhibition.’Communications: Connecting the Future’, GLOBECOM ’90 (1990), IEEE), 21-27</td> </tr><tr> <td>[76]</td> <td class="space">Perez-Gonzalez, P.; Framinan, J. M., Scheduling permutation flowshops with initial availability constraint: Analysis of solutions and constructive heuristics, Computers and Operations Research, 36, 10, 2866-2876 (2009) · <a href="/1160.90481" class="nowrap">Zbl 1160.90481</a></td> </tr><tr> <td>[77]</td> <td class="space">Perez-Gonzalez, P.; Framinan, J. M., Setting a common due date in a constrained flowshop: A variable neighbourhood search approach, Computers and Operations Research, 37, 10, 1740-1748 (2010) · <a href="/1188.90106" class="nowrap">Zbl 1188.90106</a></td> </tr><tr> <td>[78]</td> <td class="space">Pinedo, M., Scheduling: Theory, algorithms, and systems. Scheduling: Theory, algorithms, and systems, Prentice hall international series in industrial and system engineering (1995), Prentice Hall: Prentice Hall Englewood Cliffs, New Jersey, USA · <a href="/1145.90393" class="nowrap">Zbl 1145.90393</a></td> </tr><tr> <td>[79]</td> <td class="space">Ruiz, R.; Carlos Garcia-Diaz, J.; Maroto, C., Considering scheduling and preventive maintenance in the flowshop sequencing problem, Computers and Operations Research, 34, 11, 3314-3330 (2007) · <a href="/1128.90031" class="nowrap">Zbl 1128.90031</a></td> </tr><tr> <td>[83]</td> <td class="space">Shen, W.; Hao, Q.; Yoon, H. J.; Norrie, D. H., Applications of agent-based systems in intelligent manufacturing: An updated review, Advanced Engineering Informatics, 20, 4, 415-431 (2006)</td> </tr><tr> <td>[84]</td> <td class="space">Soltani, R.; Jolai, F.; Zandieh, M., Two robust meta-heuristics for scheduling multiple job classes on a single machine with multiple criteria, Expert Systems with Applications, 37, 8, 5951-5959 (2010)</td> </tr><tr> <td>[86]</td> <td class="space">T’kindt, V.; Billaut, J. C., Multicriteria scheduling problems: A survey, Operations Research, 35, 2, 143-163 (2001) · <a href="/1014.90046" class="nowrap">Zbl 1014.90046</a></td> </tr><tr> <td>[87]</td> <td class="space">T’kindt, V.; Billaut, J. C., Multicriteria scheduling: Theory, models and algorithms (2002), Springer: Springer Berlin, Germany · <a href="/1106.90035" class="nowrap">Zbl 1106.90035</a></td> </tr><tr> <td>[88]</td> <td class="space">Unal, A. T.; Uzsoy, R.; Kiran, A. S., Rescheduling on a single machine with part-type dependent setup times and deadlines, Annals of Operations Research, 70, 93-113 (1997) · <a href="/0889.90092" class="nowrap">Zbl 0889.90092</a></td> </tr><tr> <td>[89]</td> <td class="space">Wan, G.; Vakati, S. R.; Leung, J. Y.T.; Pinedo, M. L., Scheduling two agents with controllable processing times, European Journal of Operational Research, 205, 3, 528-539 (2010) · <a href="/1188.90114" class="nowrap">Zbl 1188.90114</a></td> </tr><tr> <td>[90]</td> <td class="space">Warburton, A., Approximation of pareto optima in multiple-objective, shortest-path problems, Operations Research, 35, 1, 70 (1987) · <a href="/0623.90084" class="nowrap">Zbl 0623.90084</a></td> </tr><tr> <td>[91]</td> <td class="space">Wu, W. H.; Cheng, S. R.; Wu, C. C.; Yin, Y., Ant colony algorithms for a two-agent scheduling with sum-of processing times-based learning and deteriorating considerations, Journal of Intelligent Manufacturing, 23, 5, 1985-1993 (2012)</td> </tr><tr> <td>[92]</td> <td class="space">Wu, C. C.; Huang, S. K.; Lee, W. C., Two-agent scheduling with learning consideration, Computers and Industrial Engineering, 61, 4, 1324-1335 (2011)</td> </tr><tr> <td>[93]</td> <td class="space">Yang, B., Single machine rescheduling with new jobs arrivals and processing time compression, The International Journal of Advanced Manufacturing Technology, 34, 3-4, 378-384 (2007)</td> </tr><tr> <td>[94]</td> <td class="space">Yazdani Sabouni, M. T.; Jolai, F., Optimal methods for batch processing problem with makespan and maximum lateness objectives, Applied Mathematical Modelling, 34, 2, 314-324 (2010) · <a href="/1185.90092" class="nowrap">Zbl 1185.90092</a></td> </tr><tr> <td>[95]</td> <td class="space">Yin, Y.; Cheng, S. R.; Wu, C. C., Scheduling problems with two agents and a linear non-increasing deterioration to minimize earliness penalties, Information Sciences, 189, 282-292 (2012) · <a href="/1247.90165" class="nowrap">Zbl 1247.90165</a></td> </tr><tr> <td>[96]</td> <td class="space">Yin, Y.; Wu, W. H.; Cheng, S. R.; Wu, C. C., An investigation on a two-agent single-machine scheduling problem with unequal release dates, Computers and Operations Research, 39, 12, 3062-3073 (2012) · <a href="/1349.90425" class="nowrap">Zbl 1349.90425</a></td> </tr><tr> <td>[97]</td> <td class="space">Yuan, J.; Mu, Y., Rescheduling with release dates to minimize makespan under a limit on the maximum sequence disruption, European Journal of Operational Research, 182, 2, 936-944 (2007) · <a href="/1121.90067" class="nowrap">Zbl 1121.90067</a></td> </tr><tr> <td>[98]</td> <td class="space">Yuan, J.; Mu, Y.; Lu, L.; Li, W., Rescheduling with release dates to minimize total sequence disruption under a limit on the makespan, Asia-Pacific Journal of Operational Research, 24, 6, 789-796 (2007) · <a href="/1200.90092" class="nowrap">Zbl 1200.90092</a></td> </tr><tr> <td>[99]</td> <td class="space">Yuan, J. J.; Shang, W. P.; Feng, Q., A note on the scheduling with two families of jobs, Journal of Scheduling, 8, 6, 537-542 (2005) · <a href="/1123.90040" class="nowrap">Zbl 1123.90040</a></td> </tr><tr> <td>[100]</td> <td class="space">Zhao, C.; Tang, H., Rescheduling problems with deteriorating jobs under disruptions, Applied Mathematical Modelling, 34, 1, 238-243 (2010) · <a href="/1185.90114" class="nowrap">Zbl 1185.90114</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. 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