STRATEGIC CUSTOMERS IN MARKOVIAN QUEUES WITH VACATIONS AND SYNCHRONIZED ABANDONMENT

2020 ◽  
Vol 62 (1) ◽  
pp. 89-120
Author(s):  
GOPINATH PANDA ◽  
VEENA GOSWAMI
Keyword(s):  
Cost Structure ◽  
Social Benefits ◽  
Single Server ◽  
Impatient Customers ◽  
Strategic Customers ◽  
Markovian Queue ◽  
The Social ◽  
Queues With Vacations ◽  
First Come First Serve ◽  
System Information

We study impatient customers’ joining strategies in a single-server Markovian queue with synchronized abandonment and multiple vacations. Customers receive the system information upon arrival, and decide whether to join or balk, based on a linear reward-cost structure under the acquired information. Waiting customers are served in a first-come-first-serve discipline, and no service is rendered during vacation. Server’s vacation becomes the cause of impatience for the waiting customers, which leads to synchronous abandonment at the end of vacation. That is, customers consider simultaneously but independent of others, whether to renege the system or to remain. We are interested to study the effect of both information and reneging choice on the balking strategies of impatient customers. We examine the customers’ equilibrium and socially optimal balking strategies under four cases of information: fully/almost observable and fully/almost unobservable cases, assuming the linear reward-cost structure. We compare the social benefits under all the information policies.

Equilibrium and Socially Optimal Balking Strategies in Markovian Queues with Vacations and Sequential Abandonment

2016 ◽  
Vol 33 (05) ◽  
pp. 1650036 ◽  
Author(s):  
Gopinath Panda ◽  
Veena Goswami ◽  
Abhijit Datta Banik
Keyword(s):  
Performance Measures ◽  
Numerical Experiments ◽  
Optimal Strategies ◽  
Cost Structure ◽  
Single Server ◽  
System Parameters ◽  
Optimal Behavior ◽  
Markovian Queue ◽  
Queues With Vacations ◽  
The Individual

In this paper, we consider customers’ equilibrium and socially optimal behavior in a single-server Markovian queue with multiple vacations and sequential abandonments. Upon arrival customers decide for themselves whether to join or balk, based on the level of information available to them. During the server’s vacation, present customers become impatient and decide sequentially whether they will abandon the system or not upon the availability of a secondary transport facility. Assuming the linear reward-cost structure, we analyze the equilibrium balking strategies of customers under four cases: fully and almost observable as well as fully and almost unobservable. In all the above cases, the individual and social optimal strategies are derived. Finally, the dependence of performance measures on system parameters are demonstrated via numerical experiments.

ON MARKOVIAN QUEUES WITH SINGLE WORKING VACATION AND BERNOULLI INTERRUPTIONS

2021 ◽  
pp. 1-28
Author(s):  
Ruiling Tian ◽  
Zhe George Zhang ◽  
Siping Su
Keyword(s):  
Optimal Strategies ◽  
Service Rate ◽  
Single Server ◽  
Working Vacation ◽  
Markovian Queue ◽  
Rate Period ◽  
System Information ◽  
Vacation Period ◽  
Maintenance Process ◽  
Different Levels

This paper considers the customers’ equilibrium and socially optimal joining–balking behavior in a single-server Markovian queue with a single working vacation and Bernoulli interruptions. The model is motivated by practical service systems where the service rate can be adjusted according to whether or not the system is empty. Specifically, we focus on a single-server queue in which the server's service rate is reduced from a regular to a lower one when the system becomes empty. This lower rate period is called a working vacation for the server which may represent that part of the service facility is under a maintenance process or works on other non-queueing job, or simply for saving the energy (for a machine server case). In this paper, we assume that the working vacation period is terminated after a random period or with probability p after serving a customer in a non-empty system. Such a system is called a queue with single working vacation and Bernoulli interruptions. Customers are strategic and can make choice of joining or balking based on different levels of system information. We consider four scenarios: fully observable, almost observable, almost unobservable, and fully unobservable queue cases. Under a reward-cost structure, we analyze the customer's equilibrium and social-optimal strategies. In addition, the effects of system parameters on optimal strategies are illustrated by numerical examples.

Time-dependent single server Markovian queue with catastrophe

2015 ◽  
Vol 9 ◽  
pp. 3275-3283
Author(s):  
R. Sudhesh ◽  
A. Vaithiyanathan
Keyword(s):  
Time Dependent ◽  
Single Server ◽  
Markovian Queue

scholarly journals Transparency in Autonomous Teammates

2019 ◽  
Vol 14 (2) ◽  
pp. 174-190 ◽  
Author(s):  
April Rose Panganiban ◽  
Gerald Matthews ◽  
Michael D. Long
Keyword(s):  
Social Cues ◽  
Social Benefits ◽  
Human Machine Interaction ◽  
Team Collaboration ◽  
Task Setting ◽  
The Social ◽  
Team Environment ◽  
Near Term ◽  
Occupational Settings ◽  
Machine Interaction

Human–Machine teaming is a very near term standard for many occupational settings and still requires considerations for the design of autonomous teammates (ATs). Transparency of system processes is important for human–machine interaction and reliance but standards for its implementation are still being explored. Embedding social cues is a potential design approach, which may capture the social benefits of a team environment, yet vary with task setting. The current study examined the manipulation of transparency of benevolent intent from an AT within a piloting task requiring suppression of enemy defenses. Specifically, the benevolent AT maintained task communication as in a neutral condition, but included messages of support and awareness of errors. Benevolent communication reduced reported workload and increased reported team collaboration, indicating that this team intent was beneficial. In addition, trust and acceptance of the AT were rated higher by individuals tasked with depending on the system to protect them from missile threats. The need for information from ATs is beneficial, however may vary depending on team type.

scholarly journals Leprosy and the Plague: State Surveillance of Low-Income Fathers

2013 ◽  
Vol 12 (1) ◽  
pp. 124-139
Author(s):  
Monika Jean Ulrich Myers ◽  
Michael Wilson
Keyword(s):  
Social Control ◽  
Low Income ◽  
Child Support ◽  
Justice System ◽  
The United States ◽  
Social Benefits ◽  
Child Support Enforcement ◽  
The Social ◽  
State Surveillance

Foucault’s theory of state social control contrasts societal responses to leprosy, where deviants are exiled from society but promised freedom from social demands, and the plague, where deviants are controlled and surveyed within society but receive some state assistance in exchange for their cooperation.In this paper, I analyze how low-income fathers in the United States simultaneously experience social control consistent with leprosy and social control consistent with the plague but do not receive the social benefits that Foucault associates with either status.Through interviews with 57 low-income fathers, I investigate the role of state surveillance in their family lives through child support enforcement, the criminal justice system, and child protective services.Because they did not receive any benefits from compliance with this surveillance, they resisted it, primarily by dropping “off the radar.”Men justified their resistance in four ways: they had their own material needs, they did not want the child, they did not want to separate from their child’s mother or compliance was unnecessary.This resistance is consistent with Foucault’s distinction between leprosy and the plague.They believed that they did not receive the social benefits accorded to plague victims, so they attempted to be treated like lepers, excluded from social benefits but with no social demands or surveillance.

scholarly journals ANALYSIS OF TENDENCIES IN INCOME LEVEL OF THE POPULATION IN THE ASTRAKHAN REGION

2019 ◽  
pp. 72-81
Author(s):  
Svetlana Yurievna Abdulova ◽  
Olga Anatolievna Gavrilova
Keyword(s):  
Poverty Line ◽  
Income Level ◽  
Social Benefits ◽  
Social Market Economy ◽  
Subsistence Level ◽  
Subsistence Minimum ◽  
The Social ◽  
Business Income ◽  
Social Market ◽  
Living Cost

The article dwells upon the continued decrease of income level of the Russian population as a result of the financial crisis and rising inflation, which is followed by yearly contraction of needs and savings. The analysis of the income structure of the Russian people confirmed the growth of the share of wages while reducing income from the use of property, business income, and social benefits. The tendencies to changing the income level in the different industries and regions of the Russian Federation have been identified. The average income level of the population of the Astrakhan region has been defined, the finance dynamics for the period from 2016 to 2018 has been evaluated. The tendencies to changing individual components of the population income in the Astrakhan region have been investigated: wages, business income, employment of property, social benefits. There has been estimated the average monthly wage in the region (in nominal and real terms) and the rate of its changes over the studied period. The estimation of the size of social payments to the population of the Astrakhan region has been made. The main part in the total volume of social payments to the population comes to pensions (74.8%). The criteria of the subsistence minimum both in the country and in the region have been given. It has been inferred that the living cost in the country is greatly underestimated, actually, in half, compared to the real living cost, which is related to saving the budget. In the Astrakhan region a great proportion of the population has incomes below the minimum subsistence level: 16.0% of the region’s population is below the poverty line. To reduce the level of poverty, to increase incomes of the population and to reduce the share of citizens with incomes below the subsistence minimum there have been proposed a number of that will help to reach a higher standard of living in accordance with the requirements of the social market economy.

scholarly journals Migrants’ Access to Social Protection in Ireland

2020 ◽  
pp. 225-239
Author(s):  
Mel Cousins
Keyword(s):  
Health Care ◽  
Social Protection ◽  
Legal Framework ◽  
Protection System ◽  
Social Benefits ◽  
Protection Policy ◽  
The Social ◽  
Care Family ◽  
Family Benefits ◽  
The Relationship

Abstract This chapter focuses on the link between migration and social protection in Ireland. The chapter has two main goals. First, it presents the general legal framework regulating the social protection system in Ireland, paying particular attention to any potential differences in terms of conditions of access to social benefits between national residents, non-national residents, and non-resident nationals. Secondly, the chapter discusses how these different groups of individuals access social benefits across five policy areas: unemployment, health care, family benefits, pensions, and guaranteed minimum resources. The chapter concludes with a discussion of the relationship between migration and social protection policy.

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