Optimal design and control of queues

Abstract

Queue, optimal design, optimal control, N-policy, D-policy, T-policy, F-policy, Q-policy, 60K10, 60K25, 90B22, 90B25,

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

“…In order to carry out cost analysis, the optimum design of a retrial queueing system is to determine the optimal system parameters, such as optimal mean service rate or optimal number of servers (see in [32], [37]). In this section, the optimal design of the batch arrival unreliable G-retrial queue with feedback, orbital search and Bernoulli vacation is addressed.…”

A quorum queueing system with an unreliable server

“…Even though it is difficult, if not impossible, to prove the convexity of the total expected cost per unit time (12) with respect to the system parameters, quick search procedures are available for determining, for example, the optimal quorum size r * ; see again Tadj and Choudhury [8]. Let I(r) = TC (r + 1) − TC (r); then the sign of I(r) determines whether TC (r) increases or decreases.…”

“…To come up with an optimal management policy, a decision maker definitely needs to see how the breakdowns affect the level of performance of the system. Many researchers have contributed to the topic of optimal management of queueing systems; for a survey see Tadj and Choudhury [8]. Usually, an appropriate cost function is constructed and optimization schemes are provided in order to determine the optimal system parameters.…”

Control of G/MX/1 Queueing System with N-Policy and Customer Impatience

“…Diffusion approximation is used here to derive queue length and virtual waiting time processes. Tadj and Choudhury (2005) perform extensive surveys on the optimal design and control of queueing systems with control policies. They describe the different kinds of threshold (policy) models available in the literature, especially of N-, T-, and D-policies along with various combined policies, but no queueing model with impatient customers under N-policy has been found in their review.…”