{"title":"The preemptive resource allocation problem","authors":"Kanthi Sarpatwar, Baruch Schieber, Hadas Shachnai","doi":"10.1007/s10951-023-00786-6","DOIUrl":"https://doi.org/10.1007/s10951-023-00786-6","url":null,"abstract":"We revisit a classical scheduling model to incorporate modern trends in data center networks and cloud services. Addressing some key challenges in the allocation of shared resources to user requests (jobs) in such settings, we consider the following variants of the classic resource allocation problem (RAP). The input to our problems is a set J of jobs and a set M of homogeneous hosts, each has an available amount of some resource. Assuming that time is slotted, a job is associated with a release time, a due date, a weight and a given length, as well as its resource requirement. A feasible schedule is an allocation of the resource to a subset of the jobs, satisfying the job release times/due dates as well as the resource constraints. A crucial distinction between classic RAP and our problems is that we allow preemption and migration of jobs, motivated by virtualization techniques. We consider two natural objectives: throughput maximization (MaxT), which seeks a maximum weight subset of the jobs that can be feasibly scheduled on the hosts in M, and resource minimization (MinR), that is finding the minimum number of (homogeneous) hosts needed to feasibly schedule all jobs. Both problems are known to be NP-hard. We first present an $$Omega (1)$$ -approximation algorithm for MaxT instances where time-windows form a laminar family of intervals. We then extend the algorithm to handle instances with arbitrary time-windows, assuming there is sufficient slack for each job to be completed. For MinR we study a more general setting with d resources and derive an $$O(log d)$$ -approximation for any fixed $$d ge 1$$ , under the assumption that time-windows are not too small. This assumption can be removed leading to a slightly worse ratio of $$O(log dlog ^* T)$$ , where T is the maximum due date of any job.","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":"49 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136296387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lot streaming for a two-stage assembly system in the presence of handling costs","authors":"Niloy J. Mukherjee, S. Sarin, Daniel A. Neira","doi":"10.1007/s10951-023-00777-7","DOIUrl":"https://doi.org/10.1007/s10951-023-00777-7","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":"26 1","pages":"335 - 351"},"PeriodicalIF":2.0,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52494638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bicriteria two-machine flowshop scheduling: approximation algorithms and their limits","authors":"Xiaojuan Jiang, Kangbok Lee, Michael L. Pinedo","doi":"10.1007/s10951-023-00781-x","DOIUrl":"https://doi.org/10.1007/s10951-023-00781-x","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":"1 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52495073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Carlsson, Sara Ceschia, L. Di Gaspero, R. Mikkelsen, Andrea Schaerf, Thomas J. R. Stidsen
{"title":"Exact and metaheuristic methods for a real-world examination timetabling problem","authors":"M. Carlsson, Sara Ceschia, L. Di Gaspero, R. Mikkelsen, Andrea Schaerf, Thomas J. R. Stidsen","doi":"10.1007/s10951-023-00778-6","DOIUrl":"https://doi.org/10.1007/s10951-023-00778-6","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":"26 1","pages":"353 - 367"},"PeriodicalIF":2.0,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49563615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An exact solution with an improved running time for the routing flow shop problem with two machines","authors":"I. Chernykh, A. Kononov, S. Sevastyanov","doi":"10.1007/s10951-023-00784-8","DOIUrl":"https://doi.org/10.1007/s10951-023-00784-8","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45467442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic personnel rescheduling: insights and recovery strategies","authors":"B. Maenhout, M. Vanhoucke","doi":"10.1007/s10951-023-00785-7","DOIUrl":"https://doi.org/10.1007/s10951-023-00785-7","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46211660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preemptive scheduling of parallel jobs of two sizes with controllable processing times","authors":"A. Shioura, V. Strusevich, N. V. Shakhlevich","doi":"10.1007/s10951-023-00782-w","DOIUrl":"https://doi.org/10.1007/s10951-023-00782-w","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42056881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximating weighted completion time via stronger negative correlation","authors":"A. Baveja, Xiaoran Qu, A. Srinivasan","doi":"10.1007/s10951-023-00780-y","DOIUrl":"https://doi.org/10.1007/s10951-023-00780-y","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41742153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Competitive two-agent scheduling with release dates and preemption on a single machine","authors":"Shisheng Li, Ren-Xia Chen","doi":"10.1007/s10951-023-00779-5","DOIUrl":"https://doi.org/10.1007/s10951-023-00779-5","url":null,"abstract":"","PeriodicalId":50061,"journal":{"name":"Journal of Scheduling","volume":"26 1","pages":"227 - 249"},"PeriodicalIF":2.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46685571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}