The impact of the $NT$-policy on the behaviour of a discrete-time queue with general service times

Feyaerts, Bart; Vuyst, Stijn De; Bruneel, Herwig; Wittevrongel, Sabine

doi:10.3934/jimo.2014.10.131

Cited by 5 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A variation of the NT-Policy considers T as the time after the machine switch-off. In order to give some examples, Feyaerts et al [29] analyzed in the discrete time the effects of an NT-Policy on an M/G/1 queue with a reliable machine and no warm-up. Using fixed N and T , they evaluated performances varying the arrival rate by means of numerical examples.…”

Section: Brief Literature Surveymentioning

confidence: 99%

Energy saving policies for a machine tool with warm-up, stochastic arrivals and buffer information

Frigerio

Matta

2014

2014 IEEE International Conference on Automation Science and Engineering (CASE)

View full text Add to dashboard Cite

One of the measures for saving energy in manufacturing is the implementation of control strategies that reduces energy consumption during the machine idle periods. Specifically, the paper proposes a framework that integrates different control policies for switching the machine off when the production is not critical, and on either when the part flow has to be resumed or the queue has accumulated to a certain level. A general policy is formalized by modeling explicitly the power consumed in each machine state. A threshold policy is analyzed and the optimal parameter is provided for an M/M/1/K system. Numerical results are based on data acquired with dedicated experimental measurements on a real machining centre, and a comparison with common practices in manufacturing is also reported

show abstract

Section: Brief Literature Surveymentioning

confidence: 99%

Energy saving policies for a machine tool with warm-up, stochastic arrivals and buffer information

Frigerio

Matta

2014

2014 IEEE International Conference on Automation Science and Engineering (CASE)

View full text Add to dashboard Cite

show abstract

Analysis of a discrete-time $$Geo^{\lambda _1,\lambda _2}/G/1$$ G e o λ 1 , λ 2 / G / 1 queue with N-policy and D-policy

Lan

Tang

2016

J. Appl. Math. Comput.

View full text Add to dashboard Cite

Some analysis results associated with the optimization problem for a discrete-time finite-buffer NT-policy queue

Alfa

2015

Oper Res Int J

View full text Add to dashboard Cite

The prime objective of this paperis to give some analysis results concerning the discrete-time finite-buffer NT-policy queue, which can be utilized to determine the optimal threshold values. By recording the waiting time of the leading customer in server's vacation period, the model is successfully described as a vectorvalued Markov chain. Meanwhile, depending on the special block structure of the one-step transition probability matrix, the equilibrium queue length distri-bution is calculated through a more effective UL-type RG-factorization. Due to the number of customers served in the busy period does not have the structure of a Galton-Watson branching process, analysis of the regeneration cycle is regarded as a difficult problem in establishing the cost structure of the queueing system. However, employing the concept of i-busy period and some difference equation solving skills, the explicit expression for the expected length of the regeneration cycle is easily derived, and the stochastic decomposition structure of the busy period is also demonstrated. Finally, numerical results are offered to illustrate how the direct search method can be implemented to obtain the optimal management policy.

show abstract

The impact of the $NT$-policy on the behaviour of a discrete-time queue with general service times

Cited by 5 publications

References 16 publications

Energy saving policies for a machine tool with warm-up, stochastic arrivals and buffer information

Energy saving policies for a machine tool with warm-up, stochastic arrivals and buffer information

Analysis of a discrete-time $$Geo^{\lambda _1,\lambda _2}/G/1$$ G e o λ 1 , λ 2 / G / 1 queue with N-policy and D-policy

Some analysis results associated with the optimization problem for a discrete-time finite-buffer NT-policy queue

Contact Info

Product

Resources

About