?/M/1: On the equilibrium distribution of customer arrivals

DOI10.1016/0377-2217(83)90076-0zbMath0507.90037OpenAlexW2041552918MaRDI QIDQ1837621

Refael Hassin, Amihai Glazer

Publication date: 1983

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(83)90076-0

zbMATH Keywords

calculation of probabilistic characteristicsexpected waiting timefirst-come first-servedarrival rate of customers in equilibriumequilibrium queue size distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Probabilistic methods, stochastic differential equations (65C99)

Related Items (27)

Optimal arrivals in a two-server rational random-access system with loss ⋮ Equilibrium arrival times to a queue with order penalties ⋮ Optimal timing of arrival to a queue ⋮ A strategic timing of arrivals to a linear slowdown processor sharing system ⋮ Strategic behavior and social outcomes in a bottleneck queue: experimental evidence ⋮ Strategic Arrivals into Queueing Networks: The Network Concert Queueing Game ⋮ The concert queueing game: strategic arrivals with waiting and tardiness costs ⋮ Strong Embeddings for Transitory Queueing Models ⋮ Scheduling for a processor sharing system with linear slowdown ⋮ Discrete-time strategic job arrivals to a single machine with waiting and lateness penalties ⋮ Incentives and coordination in bottleneck models ⋮ Equilibrium arrivals to preemptive queueing system with fixed reward for completing request ⋮ Choosing a batch to be processed ⋮ Estimating customer delay and tardiness sensitivity from periodic queue length observations ⋮ The concert queueing game: to wait or to be late ⋮ Strategic timing of arrivals to a finite queue multi-server loss system ⋮ Inefficiency in stochastic queueing systems with strategic customers ⋮ Equilibrium arrival times to queues with general service times and non-linear utility functions ⋮ The ordered timeline game: strategic posting times over a temporally ordered shared medium ⋮ The curse of the first-in-first-out queue discipline ⋮ A discrete-time single-server Poisson queueing game: equilibria simulated by an agent-based model ⋮ Strategic arrivals to a queue with service rate uncertainty ⋮ The Concert Queueing Game: Fluid Regime with Random Order Service ⋮ Optimal arrivals to preemptive queueing system ⋮ Stable strategies for processor sharing systems ⋮ Random queues and risk averse users ⋮ Joining a queue or staying out: Effects of information structure and service time on arrival and staying out decisions

Cites Work

• Socially and Individually Optimal Control of Arrivals to a GI/M/1 Queue
• Congestion Tolls for Poisson Queuing Processes
• A Classified Bibliography of Research on Optimal Design and Control of Queues
• Optimum Bribing for Queue Position
• Choosing a Good Appointment System—A Study of Queues of the Type (D, M, 1)
• The Regulation of Queue Size by Levying Tolls
• Purchasing Priorities in Queues
• Customers' Optimal Joining Rules for the GI/M/s Queue
• Individual and Social Optimization in a Multiserver Queue with a General Cost-Benefit Structure

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