human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "asymptotic response time analysis for multi task parallel jobs"):
  Abstract: The response time of jobs with multiple parallel tasks is a critical performance metric in many systems, including MapReduce systems, coded data storage systems, etc. However, tight analytical characterizations of the response time of such jobs are largely unknown except for highly degenerate cases. The difficulty is rooted in the fact that a job with multiple tasks is considered complete only when all of its tasks complete processing; i.e., the job response time is the maximum of the response times of its tasks, which is hard to analyze since these task response times are generally not independent. #R##N#In this paper, we approach this problem by studying when the response times of a job's tasks are close to being independent. We consider a limited fork-join model with $n$ servers, where each job consists of $k^{(n)}\le n$ tasks. Upon arrival, each job chooses $k^{(n)}$ distinct servers uniformly at random and sends one task to each server. We assume Poisson job arrivals and generally distributed task service times. We establish that under the condition $k^{(n)} = o(n^{1/4})$, the steady state response times at any $k^{(n)}$ servers are asymptotically independent, as $n$ grows large. This result greatly generalizes the asymptotic-independence type of results in the literature where asymptotic independence is shown only for a fixed constant number of queues. We then further show that the job response time converges to the maximum of independent task response times, in a proper sense. This gives the first asymptotically tight analytical characterization of the response time of a multi-task parallel job. To complement the asymptotic independence result, we also show that when $k^{(n)}=\Theta(n)$, any number of multiple queues are not asymptotically independent. Analysis for the regime of $k^{(n)}$ between $o(n^{1/4})$ and $\Theta(n)$ remains open.

Includes members:
  Member "delay comparison of delivery and coding policies in data clusters":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "delay optimal policies in partial fork join systems with redundancy and random slowdowns")
  Member "joint latency and cost optimization for erasure coded data center storage":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "grand challenges of resilience autonomous system resilience through design and runtime measures")
  Member "when do redundant requests reduce latency":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "straggler resistant distributed matrix computation via coding theory")
  Member "on the delay storage trade off in content download from coded distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a combinatorial view of the service rates of codes problem its equivalence to fractional matching and its connection with batch codes")
  Member "coding for fast content download":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a combinatorial view of the service rates of codes problem its equivalence to fractional matching and its connection with batch codes")
  Member "interactive analytical processing in big data systems a cross industry study of mapreduce workloads":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "vat asymptotic cost analysis for multi level key value stores")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.PF(Performance)