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Researcher profile

Zijie Liu

Zijie Liu contributes to research discovery and scholarly infrastructure.

ResearcherAffiliation not importedOpen to collaborate
Artificial IntelligenceComputer Science and Game TheoryDistributed, Parallel, and Cluster Computingeess.SYphysics.app-phphysics.opticsSoftware Engineering

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Published work

4 published item(s)

preprint2026arXiv

Fairness for distribution network operations and planning

The incorporation of fairness into the distribution network (DN) planning and operation has become a key goal of recent studies. The cost of implementing fairness, denominated the price of fairness (PoF), covers the efficiency that is renounced for attaining social cohesion through fair outcomes. Locational disparity makes fairness schemes emerge to level the consumers playing field. However, fairness encompasses a range of notions. From egalitarian to merit-based criteria, various metrics are implemented as a tool for measuring equitable utility distribution. These have different mathematical complexities, from linear to non-linear programming cases, which affect their overall applicability. Hence, this study compiles the overarching fairness notions and metrics, reviewing how these affect stakeholders and the inherent mathematical optimisation in resource allocation problems. The aim is to support consistent and transparent planning and decision-making within DN operations.

0 citations0 reviewsNo code linkedOpen access
preprint2023arXiv

A Voigt laser operating on $^{87}$Rb 780 nm transition

We report the development of laser systems -- a "Voigt laser" -- using a Voigt anomalous dispersion optical filter as the frequency-selective element, working at the wavelength of 780 nm of $^{87}$Rb-D2 resonance line. Compared with Faraday anomalous dispersion optical filter, the Voigt anomalous dispersion optical filter can generate a stronger and more uniform magnetic field with a compact size of magnet, and obtains a transmission spectrum with narrower linewidth and more stable lineprofile. In this case, the frequency stability of the Voigt laser reaches 5$\times$10$^{-9}$ at the averaging time of 200 s, and the wavelength fluctuation of 8-hours free operation is $\pm$0.1 pm. Besides, the Voigt laser has greater immunity to diode current than the Faraday laser, with a wavelength fluctuation of $\pm$0.5 pm in the current range from 73 mA to 150 mA. Finally, the Voigt laser frequency can be controlled by the cell temperature of the Voigt optical filter, which is expected to achieve a frequency detuning of 20 GHz. Consequently, the Voigt laser, whose frequency could correspond to the atomic transition frequency by tuning the cell temperature, obtains good robustness to the current and temperature fluctuation of laser diode, and could realize a compact optical standard for precise measurement once stabilized by modulation transfer spectroscopy.

0 citations0 reviewsNo code linkedOpen access
preprint2020arXiv

Distributed Redundant Placement for Microservice-based Applications at the Edge

Multi-access Edge Computing (MEC) is booming as a promising paradigm to push the computation and communication resources from cloud to the network edge to provide services and to perform computations. With container technologies, mobile devices with small memory footprint can run composite microservice-based applications without time-consuming backbone. Service placement at the edge is of importance to put MEC from theory into practice. However, current state-of-the-art research does not sufficiently take the composite property of services into consideration. Besides, although Kubernetes has certain abilities to heal container failures, high availability cannot be ensured due to heterogeneity and variability of edge sites. To deal with these problems, we propose a distributed redundant placement framework SAA-RP and a GA-based Server Selection (GASS) algorithm for microservice-based applications with sequential combinatorial structure. We formulate a stochastic optimization problem with the uncertainty of microservice request considered, and then decide for each microservice, how it should be deployed and with how many instances as well as on which edge sites to place them. Benchmark policies are implemented in two scenarios, where redundancy is allowed and not, respectively. Numerical results based on a real-world dataset verify that GASS significantly outperforms all the benchmark policies.

0 citations0 reviewsNo code linkedOpen access
preprint2020arXiv

The Fairness of Leximin in Allocation of Indivisible Chores

The leximin solution -- which selects an allocation that maximizes the minimum utility, then the second minimum utility, and so forth -- is known to provide EFX (envy-free up to any good) fairness guarantee in some contexts when allocating indivisible goods. However, it remains unknown how fair the leximin solution is when used to allocate indivisible chores. In this paper, we demonstrate that the leximin solution can be modified to also provide compelling fairness guarantees for the allocation of indivisible chores. First, we generalize the definition of the leximin solution. Then, we show that the leximin solution finds a PROP1 (proportional up to one good) and PO (Pareto-optimal) allocation for 3 or 4 agents in the context of chores allocation with additive distinct valuations. Additionally, we prove that the leximin solution is EFX for combinations of goods and chores for agents with general but identical valuations.

0 citations0 reviewsNo code linkedOpen access