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A Diffusion Approximation for the G/GI/n/m Queue
16 references·16 citing·24 second hopsampled
A Diffusion Approximation for the G/GI/n/m Queue (2004)A Diffusion Approximation for the G/GI/n/…Statistical Analysis of a Telephone Call Center (2005)Statistical Analysis of a Tel…On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)On Customer Contact Centers w…Dimensioning Large Call Centers (2004)Dimensioning Large Call Cente…Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Telephone Call Centers: Tutor…Designing a Call Center with Impatient Customers (2002)Designing a Call Center with …Server Staffing to Meet Time-Varying Demand (1996)Server Staffing to Meet Time-…APPROXIMATIONS FOR THE GI/G/m QUEUE (1993)APPROXIMATIONS FOR THE GI/G/m…Understanding the Efficiency of Multi-Server Service Systems (1992)Understanding the Efficiency …Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Asymptotic Methods in Queueing Theory. (1986)Asymptotic Methods in Queuein…Asymptotic methods in queueing theory (1985)Asymptotic methods in queuein…Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues (1984)Approximating a Point Process…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Approximating a Point Process…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Approximations in finite-capacity multi-server queues by Poisson arrivals (1978)Approximations in finite-capa…Stochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS (2016)STAFFING A SERVICE SYSTEM WIT…State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems (2011)State Space Collapse in Many-…Control of systems with flexible multi-server pools: a shadow routing approach (2010)Control of systems with flexi…On the inapproximability of M/G/K: why two moments of job size distribution are not enough (2009)On the inapproximability of M…Service-Level Agreements in Call Centers: Perils and Prescriptions (2008)Service-Level Agreements in C…Real-Time Delay Estimation Based on Delay History (2008)Real-Time Delay Estimation Ba…Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime (2008)Queues with Many Servers: The…Optimal Control of Distributed Parallel Server Systems Under the Halfin and Whitt Regime (2008)Optimal Control of Distribute…Call-Routing Schemes for Call-Center Outsourcing (2007)Call-Routing Schemes for Call…Modeling and Simulation of Call Centers (2006)Modeling and Simulation of Ca…On the transition densities for reflected diffusions (2005)On the transition densities f…Modeling and simulation of call centers (2005)Modeling and simulation of ca…Heavy-Traffic Limits for the G/H2*/n/mQueue (2005)Heavy-Traffic Limits for the …The impact of customers? patience on delay and abandonment: some empirically-driven experiments with the M/M/ n + G queue (2004)The impact of customers? pati…Heavy Traffic Limits for Queues with Many Deterministic Servers (2004)Heavy Traffic Limits for Queu…How Multiserver Queues Scale with Growing Congestion-Dependent Demand (2003)How Multiserver Queues Scale …Theory, Volume 1, Queueing Systems (1975)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Planning Queueing Simulations (1989)Poisson Arrivals See Time Averages (1982)The Queueing Network Analyzer (1983)Applied Probability and Queues (1987)Reverse logistics network design with stochastic lead times (2005)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)An introduction to queueing theory (1993)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Stochastic Modeling and the Theory of Queues (1989)Forecasting: theory and practice (2022)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Queueing Theory. (1982)Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue (2005)Proceedings of the 2002 Winter Simulation Conference (2002)Foundations and Implications of a Proposed Unified Services Theory (2006)Time-changed Lévy processes and option pricing (2003)Selection, Growth, and the Size Distribution of Firms (2007)A Continuous-Time Version of the Principal–Agent Problem (2008)An Annotated Bibliography of Personnel Scheduling and Rostering (2004)Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)Martingale Methods in Financial Modelling (1997)Fluctuations of Lévy Processes with Applications (2014)
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References

  • 2003Telephone Call Centers: Tutorial, Review, and Research Prospects1,360 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 2005Statistical Analysis of a Telephone Call Center804 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 1976Stochastic Processes in Queueing Theory674 cited
  • 2002Designing a Call Center with Impatient Customers576 cited
  • 1982Approximating a Point Process by a Renewal Process, I: Two Basic Methods544 cited
  • 1993APPROXIMATIONS FOR THE GI/G/m QUEUE408 cited
  • 2004Dimensioning Large Call Centers342 cited
  • 1996Server Staffing to Meet Time-Varying Demand226 cited
  • 1986Asymptotic Methods in Queueing Theory.225 cited
  • 2004On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design190 cited
  • 1992Understanding the Efficiency of Multi-Server Service Systems180 cited
  • 1984Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues164 cited
  • 1985Asymptotic methods in queueing theory146 cited
  • 1978

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Approximations in finite-capacity multi-server queues by Poisson arrivals
139 cited

Cited by

  • 2005On the transition densities for reflected diffusions122 cited
  • 2004The impact of customers? patience on delay and abandonment: some empirically-driven experiments with the M/M/ n + G queue90 cited
  • 2007Call-Routing Schemes for Call-Center Outsourcing83 cited
  • 2008Real-Time Delay Estimation Based on Delay History78 cited
  • 2005Heavy-Traffic Limits for the G/H2*/n/mQueue75 cited
  • 2009On the inapproximability of M/G/K: why two moments of job size distribution are not enough73 cited
  • 2008Service-Level Agreements in Call Centers: Perils and Prescriptions71 cited
  • 2004Heavy Traffic Limits for Queues with Many Deterministic Servers70 cited
  • 2011State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems66 cited
  • 2003How Multiserver Queues Scale with Growing Congestion-Dependent Demand52 cited
  • 2006Modeling and Simulation of Call Centers49 cited
  • 2010Control of systems with flexible multi-server pools: a shadow routing approach48 cited
  • 2008Optimal Control of Distributed Parallel Server Systems Under the Halfin and Whitt Regime47 cited
  • 2008Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime45 cited
  • 2016STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS39 cited
  • 2005Modeling and simulation of call centers33 cited