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Department of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
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5 Papers

Equilibrium Analysis and Social Optimization of a Selectable Single or Time-Based Batch Service

Topics: Decision Support Systems; Simulation; Decision Analysis; Management Sciences; Queuing Theory; Game Theory; OR in Transportation; Stochastic Optimization

Authors: Ayane Nakamura 1 and Tuan Phung-Duc 2

Affiliations: 1 Graduate School of Science and Technology, University of Tsukuba, Tsukuba, Ibaraki, Japan , 2 Institute of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan

Digital Object Identifier: 10.5220/0012323800003639

Proceedings of ICORES 2024, ISBN: 978-989-758-681-1

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In current transportation systems, a common road is shared by multiple types of vehicles with different capacities. To consider this phenomenon, we propose a model in which customers can strategically select a single or batch service, and then receive a common service in a single-server queue with exponential service times. Customers potentially arrive at the system according to a Poisson process and choose whether to join the queue directly or wait for a batch service. The batch service commences periodically according to a Poisson process and the capacity of the batch is determined by a geometric distribution. The optimization of such a model has not been studied despite being an important social issue. We derive the unique equilibrium strategy of customers, socially optimal strategy, and socially optimal relationship of fees for both services. Furthermore, we demonstrate that these optimal fees exhibit linear relationships. In terms of practical application, this system will allow us to consider the effects of road congestion on transportation platforms.

A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations

Topics: Stochastic Processes; Industrial Engineering; Queuing Theory; New Applications of OR

Authors: Yoshito Machida 1 and Tuan Phung-Duc 2

Affiliations: 1 Graduate School of Science and Technology, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan , 2 Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

Digital Object Identifier: 10.5220/0010816100003117

Proceedings of ICORES 2022, ISBN: 978-989-758-548-7

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Nowadays, cars are essential to life, and most cars used in society need refueling. In gas stations, an odd phenomenon often occurs where the server (refueling lane) is available, but the service is not available, and this is due to the mismatch between the type of the customer (car) and the type of the server. In this paper, we model some types of the system of gas stations as queueing models and analyze them. In addition, we derive performance measures and compare these types of systems. Some counter-intuitive results emerge in this study.

Performance Analysis for Threshold-based N-Systems with Heterogeneous Servers

Topics: Queuing Theory; Resource Allocation; Stochastic Optimization

Authors: Le Anh Thu 1 and Tuan Phung-Duc 2

Affiliations: 1 Public Policy Program, VNU Vietnam Japan University, My Dinh Campus, Nam Tu Liem, Hanoi,Vietnam , 2 Department of Policy and Planning Sciences, Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan

Digital Object Identifier: 10.5220/0010812800003117

Proceedings of ICORES 2022, ISBN: 978-989-758-548-7

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Driven by the need to develop methods for minimizing operational delays at public administration agencies, this paper considers problems involving routing and staffing in these agencies. We examine a threshold-based N-System of two queues with capacities C1 = ∞ and C2 < ∞, respectively. We use the matrix analytic method to obtain the steady-state probabilities, the performance measures, and the optimal threshold values in terms of the system parameters. Our numerical experiments reveal that the mean response time is sensitive to the stability condition, and the effectiveness of the threshold policy depends on the customer arrival rate.

Queueing Analysis and Nash Equilibria in an Unobservable Taxi-passenger System with Two Types of Passenger

Topics: Industrial Engineering; Queuing Theory; Game Theory; OR in Transportation

Authors: Hung Q. Nguyen 1 and Tuan Phung-Duc 2

Affiliations: 1 Graduate School of Science and Technology, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan , 2 Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan

Digital Object Identifier: 10.5220/0010825200003117

Proceedings of ICORES 2022, ISBN: 978-989-758-548-7

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This paper considers an unobservable double-ended queueing system motivated by the application of a taxi station where passengers and taxis arrive at two sides of the queue, and there are two types of passengers, differentiated by their mean matching times with taxis. We use a three-dimensional Markov chain to model the system and derive several system performance measures (mean queue lengths, waiting times and social welfare). Furthermore, when agents are strategic, we model the system as a multi-population game among three populations of agents and find their joining rates in equilibrium.

Queueing Model of Circular Demand Responsive Transportation System: Theoretical Solution and Heuristic Solution

Topics: Stochastic Processes; Simulation; Queuing Theory; OR in Transportation

Authors: Ayane Nakamura 1 , Tuan Phung-Duc 1 and Hiroyasu Ando 2 ; 3

Affiliations: 1 Graduate School of Science and Technology, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan , 2 Advanced Institute for Materials Research, Tohoku University, Sendai, Miyagi 980-8577, Japan , 3 Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

Digital Object Identifier: 10.5220/0010845300003117

Proceedings of ICORES 2022, ISBN: 978-989-758-548-7

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Sharing mobilities, such as car-sharing and ride-sharing, have been widely spreading recently. In this paper, we consider Car/Ride-Share (CRS) system, which is one of the demand responsive transportations. We consider the scenario where CRS is introduced on the circular bus route. We propose its theoretical and heuristic solutions using queueing theory. We validate the heuristic analysis by comparing with the theoretical result through some numerical examples.

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