Discrete time queueing networks with product form steady state. Availability and performance analysis in an integrated model

In this paper, we present a basic discrete-time queueing model whereby the service process is decomposed in two (variable) components: the demand of each customer, expressed in a number of work units needed to provide full service of the customer, and the capacity of the server, i.e., the number of work units that the service facility is able to perform per time unit. The model is closely related to multi-server queueing models with server interruptions, in the sense that the service facility is able to deliver more than one unit of work per time unit, and that the number of work units that can be executed per time unit is not constant over time.Although multi-server queueing models with server interruptions -to some extentallow us to study the concept of variable capacity, these models have a major disadvantage. The models are notoriously hard to analyze and even when explicit expressions are obtained, these contain various unknown probabilities that have to be calculated numerically, which makes the expressions difficult to interpret. For the model in this paper, on the other hand, we are able to obtain explicit closed-form expressions for the main performance measures of interest. Possible applications of this type of queueing model are numerous: the variable service capacity could model variable available bandwidths in communication networks, a varying production capacity in factories, a variable number of workers in an HR-environment, varying capacity in road traffic, etc.

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The role of sustainability practices in international port operations

Kim

Chiang

2017

JKT

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Purpose With increasing attention to sustainability in port operations, the purpose of this paper is to analyze the role of sustainability practice (SP) as a moderator on the relationships between competitiveness and performance in port operations. Design/methodology/approach To explore the specific route of SPs in managing competitiveness and performance, this study adopted the hierarchical moderated regression analysis. Additionally, to analyze the difference in the level of implementation of SP, alternative subgroup analysis was conducted via independent sample t-tests in SPSS 21. Findings Research results have shown the role of SPs in achieving outstanding port activities, which significantly moderates the relationship between competitiveness, particularly for operational efficiency and service quality, and performance. Research limitations/implications As this study is based on cross-sectional data, it does not tap any temporal attitude change, which would require a longitudinal approach. The authors contribute to filling a void between what is achievable and how sustainable practice contributes to managing competitiveness and performance, based on commercial port operations. Practical implications Results provide useful insights to establish the strategies to develop sustainable port operations and a strategic agenda to assist ports to incorporate SP. Originality/value Drawing on multiple theories, this study advances the role of SP by shedding new light on how it improves operational sustainability through strengthening the relationships between competitiveness and performance.

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Discrete time queueing networks with product form steady state. Availability and performance analysis in an integrated model

Cited by 5 publications

References 43 publications

Discrete Time Networks with Product Form Steady States

Discrete Time Networks with Product Form Steady States

Discrete-time queues with variable service capacity: a basic model and its analysis

The role of sustainability practices in international port operations

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