Special Issue "Queue and Stochastic Models for Operations Research"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 15 September 2020.

Special Issue Editor

Dr. Tuan Phung-Duc
Website
Guest Editor
Department of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
Interests: operations research; stochastic models; queues; performance analysis

Special Issue Information

Dear Colleagues,

We would like to invite you to submit your work to the Special Issue “Queue and Stochastic Models for Operations Research”. This Special Issue is seeking high-quality contributions in queues and related stochastic models arising from operations research.

Dr. Tuan Phung-Duc
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Stochastic models
  • Matrix analytic methods
  • Asymptotic analysis of queueing models
  • Game theoretic analysis of queues
  • Fluid and diffusion limits, large deviation analysis of queues
  • Stochastic analysis of risk models
  • Matching queues
  • Multidimensional Markov chains
  • Novel queueing models in applications
  • Stochastic analysis of machine learning systems

Published Papers (5 papers)

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Research

Open AccessFeature PaperArticle
The Effect of Setting a Warning Vaccination Level on a Stochastic SIVS Model with Imperfect Vaccine
Mathematics 2020, 8(7), 1136; https://doi.org/10.3390/math8071136 - 11 Jul 2020
Abstract
This paper deals with a stochastic Susceptible-Infective-Vaccinated-Susceptible (SIVS) model with infection reintroduction. Health policies depend on vaccine coverage, v0, that guarantees herd immunity levels in the population. Vaccine failures occur when an organism develops a disease despite of being [...] Read more.
This paper deals with a stochastic Susceptible-Infective-Vaccinated-Susceptible (SIVS) model with infection reintroduction. Health policies depend on vaccine coverage, v 0 , that guarantees herd immunity levels in the population. Vaccine failures occur when an organism develops a disease despite of being vaccinated against it. After vaccination, a proportion of healthy individuals unsuccessfully tries to increase antibody levels and, consequently these individuals are not immune to the vaccine preventable disease. When an infectious process is in progress, the initial vaccine coverage drops down and herd immunity will be lost. Our objective was to introduce a warning vaccination level and define random measures quantifying the time until the number of vaccinated descends to a warning vaccination level (i.e., the so-called sleeping period), and the epidemic size. A sensitivity analysis was performed to assess the influence of the model parameters on the variation and robustness of the sleeping period and the number of infections observed within it. Full article
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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Open AccessArticle
Antagonistic One-To-N Stochastic Duel Game
Mathematics 2020, 8(7), 1114; https://doi.org/10.3390/math8071114 - 06 Jul 2020
Abstract
This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model [...] Read more.
This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the first exceed theory. The model could be directly applied into real-world situations and an analogue of the theory in the paper is designed for solving the best shooting time for hitting all other players at once which optimizes the payoff function under random time conditions. It also mathematically explains to build the marketing strategies for the entry timing for both blue and red ocean markets. Full article
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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Open AccessArticle
A Versatile Stochastic Duel Game
Mathematics 2020, 8(5), 678; https://doi.org/10.3390/math8050678 - 01 May 2020
Cited by 1
Abstract
This paper deals with a standard stochastic game model with a continuum of states under the duel-type setup. It newly proposes a hybrid model of game theory and the fluctuation process, which could be applied for various practical decision making situations. The unique [...] Read more.
This paper deals with a standard stochastic game model with a continuum of states under the duel-type setup. It newly proposes a hybrid model of game theory and the fluctuation process, which could be applied for various practical decision making situations. The unique theoretical stochastic game model is targeted to analyze a two-person duel-type game in the time domain. The parameters for strategic decisions including the moments of crossings, prior crossings, and the optimal number of iterations to get the highest winning chance are obtained by the compact closed joint functional. This paper also demonstrates the usage of a new time based stochastic game model by analyzing a conventional duel game model in the distance domain and briefly explains how to build strategies for an atypical business case to show how this theoretical model works. Full article
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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Open AccessArticle
Numerical Inverse Transformation Methods for Z-Transform
Mathematics 2020, 8(4), 556; https://doi.org/10.3390/math8040556 - 10 Apr 2020
Abstract
Numerical inverse Z-transformation (NIZT) methods have been efficiently used in engineering practice for a long time. In this paper, we compare the abilities of the most widely used NIZT methods, and propose a new variant of a classic NIZT method based on contour [...] Read more.
Numerical inverse Z-transformation (NIZT) methods have been efficiently used in engineering practice for a long time. In this paper, we compare the abilities of the most widely used NIZT methods, and propose a new variant of a classic NIZT method based on contour integral approximation, which is efficient when the point of interest (at which the value of the function is needed) is smaller than the order of the NIZT method. We also introduce a vastly different NIZT method based on concentrated matrix geometric (CMG) distributions that tackles the limitations of many of the classic methods when the point of interest is larger than the order of the NIZT method. Full article
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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Open AccessArticle
A Versatile Queuing System For Sharing Economy Platform Operations
Mathematics 2019, 7(11), 1005; https://doi.org/10.3390/math7111005 - 23 Oct 2019
Abstract
The paper deals with a sharing economy system with various management factors by using a bulk input G/M/1 type queuing model. The effective management of operating costs is vital for controlling the sharing economy platform and this research builds the theoretical background to [...] Read more.
The paper deals with a sharing economy system with various management factors by using a bulk input G/M/1 type queuing model. The effective management of operating costs is vital for controlling the sharing economy platform and this research builds the theoretical background to understand the sharing economy business model. Analytically, the techniques include a classical Markov process of the single channel queueing system, semi-Markov process and semi-regenerative process. It uses the stochastic congruent properties to find the probability distribution of the number of contractors in the sharing economy platform. The obtained explicit formulas demonstrate the usage of functional for the main stochastic characteristics including sharing expenses due to over contracted resources and optimization of their objective function. Full article
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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