Admission policies in loss queueing models with heterogeneous arrivals

Article Abstract:

A loss queueing framework is characterized wherein the arrivals are categorized into different groups based on their arrival rate and expected service time. The framework aimed to determined the maximum coverage as a function to a given cost structure. The model was represented by customer types and a request for a service of a system with a finite number of servers. Problem optimality conditions were also expressed by a nonlinear fraction program with pseudoconcave objective function and a convex feasible region. Moreover, an algorithm was utilized in the study that ran in O(n(super 2)) time. Results indicated that an optimal policy for two-server cases can be characterized as a root of a polynomial function of degree 3.

Research and Development in the Social Sciences and Humanities, Information Systems & Theory, Management Science, Methods, Models, Analysis, Usage, Mathematical optimization, Optimization theory, Nonlinear programming

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Computing Optimal Control Limits For GI-M-s Queueing Systems with Controlled Arrivals

Article Abstract:

An algorithm is developed to compute optimal control limits for queueing control. Previous papers and existing literature are cited concerning the model. Equations and characteristics of the queueing system are presented with results, and an approach to computing the return of a control limit policy is explained. Other models are discussed. The efficiency of the algorithm, as shown by computer time needed, is a significant improvement over the previous algorithm. An example is given and explained.

Optimization, Algorithm Analysis, Markov Process, Computability

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A Diffusion Approximation for an M-G-m Queue with Group Arrivals

Article Abstract:

The M-G-m queue is studied. Random-sized groups of customers are serviced. The steady-state behavior of the system is studied using diffusion approximation. The delay probability and the mean queue length can be derived using this approximation. Numerical results are presented in tables.

Diffusion (Physics), Probability, Theory, Approximation, Diffusion

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