scholarly journals Correction to: Equilibrium and pricing analysis for an unreliable retrial queue with limited idle period and single vacation

2019 ◽  
Author(s):  
Shan Gao ◽  
Hua Dong ◽  
Xianchao Wang
Keyword(s):  
Retrial Queue ◽  
Idle Period ◽  
Single Vacation

scholarly journals Analysis of a Single Server Retrial Queue with Server Vacation and Two Waiting Buffers Based on ATM Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Shan Gao ◽  
Xianchao Wang
Keyword(s):  
Performance Measures ◽  
Generating Function ◽  
Cost Optimization ◽  
Retrial Queue ◽  
Atm Networks ◽  
Single Server ◽  
Supplementary Variable ◽  
Single Vacation ◽  
Extensive Analysis ◽  
Queue Lengths

This paper presents a discrete-time Geo/G/1 retrial queue with two waiting buffers to model an ATM network, in which the server begins a single vacation in cases where the system is empty at the instant of a service completion. New arriving customer who finds the server being on vacation can decide to either enter the retrial buffer with some probability p or leave the system with complementary probability 1−p. But the new arriving customer can begin its service immediately if he finds the server idle and join the original buffer if he finds the server busy. We first carry out an extensive analysis of the model by using the supplementary variable method and the generating function approach, and give some performance measures, such as server’s state probabilities and mean queue lengths in the original buffer, retrial buffer, and in the system. Secondly, we give the generating function of the sojourn time of a customer in the system and prove that Little’s law still holds in our model. Sensitivity analysis and cost optimization are finally given for illustrative purposes.

Strategic behavior in the constant retrial queue with a single vacation

2020 ◽  
Vol 54 (2) ◽  
pp. 569-583 ◽  
Author(s):  
Yu Zhang
Keyword(s):  
Social Welfare ◽  
System Parameter ◽  
Strategic Behavior ◽  
Retrial Queue ◽  
Cost Structure ◽  
Social Planner ◽  
System Parameters ◽  
Single Vacation ◽  
The Social ◽  
System Characteristics

We study customers’ joining strategies in an M/M/1 constant retrial queue with a single vacation. There is no waiting space in front of the server and a vacation is triggered when the system is empty. If an arriving customer finds the server idle, he occupies the server immediately. Otherwise, if the server is found unavailable, the customer enters a retrial pool called orbit with infinite capacity and becomes a repeated customer. According to the different information provided for customers, we consider two situations, where we investigate system characteristics and customers’ joining or balk decisions based on a linear reward-cost structure. Furthermore, we establish the social welfare of the system and make comparisons between the two information levels. It is found that there exist thresholds of system parameters such that the social planner would prefer revealing more information when the system parameter is greater than or less than the corresponding threshold.

scholarly journals On the Discrete-TimeGeoX/G/1Queues underN-Policy with Single and Multiple Vacations

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sung J. Kim ◽  
Nam K. Kim ◽  
Hyun-Min Park ◽  
Kyung Chul Chae ◽  
Dae-Eun Lim
Keyword(s):  
Queue Length ◽  
Queueing System ◽  
Threshold Value ◽  
Stochastic Decomposition ◽  
Idle Period ◽  
Multiple Vacations ◽  
Vacation Models ◽  
Single Vacation ◽  
Special Cases ◽  
Stationary Queue Length

We consider the discrete-timeGeoX/G/1queue underN-policy with single and multiple vacations. In this queueing system, the server takes multiple vacations and a single vacation whenever the system becomes empty and begins to serve customers only if the queue length is at least a predetermined threshold valueN. Using the well-known property of stochastic decomposition, we derive the stationary queue-length distributions for both vacation models in a simple and unified manner. In addition, we derive their busy as well as idle-period distributions. Some classical vacation models are considered as special cases.

scholarly journals Effect of Vegetable Growth on Content and Composition of Antibiotics in Litopenaeus vannamei Pond Sediments in Crop/Aquacultural Rotation Process

2021 ◽  
Vol 13 (15) ◽  
pp. 8400
Author(s):  
Bihan Gu ◽  
Feipeng Li ◽  
Yanru Liu ◽  
Lingchen Mao ◽  
Hong Tao
Keyword(s):  
Crop Rotation ◽  
Sediment Quality ◽  
Community Characteristics ◽  
Major Pathway ◽  
Idle Period ◽  
Shrimp Ponds ◽  
Bottom Substrate ◽  
Vegetable Growth ◽  
Pond Ecosystem ◽  
Rate Of Decline

Photodegradation remains the major pathway of antibiotic removal in natural ponds. This study introduced a new method of growing vegetables on the bottom substrate of shrimp ponds to improve sediment quality. The aim of the study was to investigate the effect of vegetable planting on the photodegradation of antibiotics. This study characterized antibiotic levels in the pond sediment during this phytoremediation process and investigated the antibiotic content and composition of the sediment with and without crop rotation (traditional control), as well as the shrimp yields. The results showed that total antibiotics (e.g., trimethoprim, oxytetracycline, and norfloxacin) in the sediment of all aquaculture ponds continuously decreased from 44.78 ± 4.07 μg/kg to 18.80 ± 2.26 μg/kg in the crop rotation pond. The total amount of antibiotics consistently decreased in all ponds, and the rate of decline did not greatly differ. However, oxytetracycline in the crop rotation pond decreased faster than in the control pond, presumably because the growing vegetables altered the sediment and microbial-community characteristics that promoted oxytetracycline degradation. In the following year, there was little difference in the levels of norfloxacin or oxytetracycline between the two ponds. An increase in trimethoprim in the control pond was much higher than in the crop-growing sediment. It was indicated that the system remediated the shrimp pond ecosystem as well as providing the possibility of increasing profits by planting vegetables in the winter idle period of shrimp ponds.

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