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This paper studies a 2-class, 2-server parallel server system under the recently introduced extended heavy traffic condition, which states that the underlying 'static allocation' linear program (LP) is critical, but does not require that it…

Optimization and Control · Mathematics 2022-07-19 Rami Atar , Eyal Castiel , Marty Reiman

The intelligent upgrading of metropolitan rail transit systems has made it feasible to implement demand-side management policies that integrate multiple operational strategies in practical operations. However, the tight interdependence…

Optimization and Control · Mathematics 2025-11-10 Lixing Yang , Yahan Lu , Jiateng Yin , Shadi Sharif Azadeh

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

Optimization and Control · Mathematics 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

This paper studies an infinite buffer single server queueing model with exponentially distributed service times and negative arrivals. The ordinary (positive) customers arrive in batches of random size according to renewal arrival process,…

Probability · Mathematics 2023-01-13 U. C. Gupta , Nitin Kumar , F. P. Barbhuiya

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

We consider a two-queue polling model with switch-over times and $k$-limited service (serve at most $k_i$ customers during one visit period to queue $i$) in each queue. The major benefit of the $k$-limited service discipline is that it -…

Probability · Mathematics 2016-03-07 Marko Boon , Erik Winands

In this paper, we shed new light on a classical scheduling problem: given a slot-timed, constant-capacity server, what short-run scheduling decisions must be made to provide long-run service guarantees to competing flows of unit-sized…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yike Xu , Mark S. Andersland

These days enterprise applications try to integrate online processing and batch jobs into a common software stack for seamless monitoring and driverless operations. Continuous integration of these systems results in choking of the poorly…

Performance · Computer Science 2015-12-16 Subrata Ashe

We consider three parallel service models in which customers of several types are served by several types of servers subject to a bipartite compatibility graph, and the service policy is first come first served. Two of the models have a…

Probability · Mathematics 2018-05-14 Ivo Adan , Igor Kleiner , Rhonda Righter , Gideon Weiss

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

Probability · Mathematics 2017-07-14 Mayank Saxena , Onno Boxma , Stella Kapodistria , Rudesindo Núñez Queija

In discrete time, customers arrive at random. Each waits until one of three servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. Algebraic expressions obtained for the…

History and Overview · Mathematics 2022-08-30 Steven Finch

We consider two-stage tandem queueing systems with one dedicated server in each station and a flexible server that can serve both stations. We assume exponential service times, linear holding costs accrued by jobs present in the system, and…

Systems and Control · Computer Science 2019-04-12 Ioannis Papachristos , Dimitrios G. Pandelis

We consider a dynamic model of traffic that has received a lot of attention in the past few years. Users control infinitesimal flow particles aiming to travel from an origin to a destination as quickly as possible. Flow patterns vary over…

Computer Science and Game Theory · Computer Science 2025-11-18 Neil Olver , Leon Sering , Laura Vargas Koch

We study a spatiotemporal service matching problem in which demand, heterogeneous in location and time sensitivity/preference, is to be assigned to service stations. The planner seeks to maximize social welfare, defined as total service…

Theoretical Economics · Economics 2026-03-17 Mingyang Fu , Ming Hu

In this paper we present and analyze a queueing-theoretical model for autonomous mobility-on-demand (MOD) systems where robotic, self-driving vehicles transport customers within an urban environment and rebalance themselves to ensure…

Robotics · Computer Science 2014-04-18 Rick Zhang , Marco Pavone

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

Optimization and Control · Mathematics 2022-09-13 Tikhon Bogachev

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, much less is known about its performance in multiserver queues.…

Probability · Mathematics 2021-02-12 Jing Dong , Rouba Ibrahim

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

Probability · Mathematics 2016-09-08 Young Myoung Ko , Natarajan Gautam

Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they…

Dynamical Systems · Mathematics 2021-08-11 Philip Doldo , Jamol Pender , Richard Rand
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