Stationary characteristics of the Mθ/G/1/m system with the threshold functioning strategy

Zhernovyi, K. Yu.

doi:10.1134/s1064226911120254

Cited by 5 publications

(3 citation statements)

References 2 publications

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“…For the sake of comparison, the same table contains the corresponding probabilities evaluated by the GPSS World simulation system [11,12] for the time value 6 …”

Section: Example For Calculating Of Stationary Characteristicsmentioning

confidence: 99%

“…In the general case, the essence of this strategy is that the service time distribution depends on the number of customers in the system at the beginning of each customer service [4]. With the help of the potentials method, we have developed an efficient algorithm for computing the stationary distribution of the number of customers in the systems with threshold functioning strategies [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change

Zhernovyi

Kopytko

2016

J. Appl. Math. Comput. Mech.

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Abstract. We propose a method for determining the probabilistic characteristics of the M/G/1/m queueing system with the random dropping of arrivals and distribution of the service time depending on the queue length. Two sets of service modes, with the service time distribution functions ( ) n F x and ( ) n F x ɶ respectively, are used according to the twothreshold hysteretic strategy. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.

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“…For the sake of comparison, the same table contains the corresponding probabilities evaluated by the GPSS World simulation system [11,12] for the time value 6 …”

Section: Example For Calculating Of Stationary Characteristicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change

Zhernovyi

Kopytko

2016

J. Appl. Math. Comput. Mech.

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“…In the general case, the essence of this strategy is that the service time distribution depends on the number of customers in the system at the beginning of each customer service [5,6]. With the help of the potentials method, we have developed an efficient algorithm for computing the stationary distribution of the number of customers in the systems with threshold functioning strategies [5][6][7][8][9][10], including a single-channel closed system with service time, dependent on the queue length [5].…”

Section: Introductionmentioning

confidence: 99%

The potentials method for a closed queueing system with hysteretic strategy of the service time change

Zhernovyi¹,

Kopytko²

2015

J. Appl. Math. Comput. Mech.

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Abstract. We propose a method for determining the characteristics of a single-channel closed queueing system with an exponential distribution of the time generation of service requests and arbitrary distributions of the service times. In order to increase the system capacity, two service modes (the main mode and overload mode), with the service time distribution functions ( ) F x and ( ) % F x respectively, are used. The overload mode starts functioning if at the beginning of service of the next customer the number of customers in the system ( ) ξ t satisfies the condition 2 ( ) . ξ > t h The return to the main mode carried out at the beginning of service of the customer, for whichThe Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.

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Potentials Method for M/G/1/m Systems with Threshold Operating Strategies

Zhernovyi

2016

Cybern Syst Anal

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Stationary characteristics of the Mθ/G/1/m system with the threshold functioning strategy

Cited by 5 publications

References 2 publications

The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change

The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change

The potentials method for a closed queueing system with hysteretic strategy of the service time change

Potentials Method for M/G/1/m Systems with Threshold Operating Strategies

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