Bulk arrival queue with unreliable server, balking and modified Bernoulli vacation

Bharathi Jagannathan; Nandhini Sivasubramaniam

Makale detayları

Bulk arrival queue with unreliable server, balking and modified Bernoulli vacation

Yazarlar:

Bharathi Jagannathan | Nandhini Sivasubramaniam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.289-304

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312247

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we concentrate on the analysis of the breakdown of an unreliable server with batch arrival retrial queue and non-mandatory re-service with modified Bernoulli vacation. The behavior of impatient customers is considered for this analysis. The basic presumption of this paper is that there is a delay following a breakdown before the repair begins. After receiving the service, a customer gets two different possibilities: those who can depart the system or, in case of some customers, they can retry the service. Using the Supplementary Variable Technique, the steady state has been derived and its results are compared with previous findings.

 In this paper, we concentrate on the analysis of the breakdown of an unreliable server with batch arrival retrial queue and non-mandatory re-service with modified Bernoulli vacation. The behavior of impatient customers is considered for this analysis. The basic presumption of this paper is that there is a delay following a breakdown before the repair begins. After receiving the service, a customer gets two different possibilities: those who can depart the system or, in case of some customers, they can retry the service. Using the Supplementary Variable Technique, the steady state has been derived and its results are compared with previous findings.

 In this paper, we concentrate on the analysis of the breakdown of an unreliable server with batch arrival retrial queue and non-mandatory re-service with modified Bernoulli vacation. The behavior of impatient customers is considered for this analysis. The basic presumption of this paper is that there is a delay following a breakdown before the repair begins. After receiving the service, a customer gets two different possibilities: those who can depart the system or, in case of some customers, they can retry the service. Using the Supplementary Variable Technique, the steady state has been derived and its results are compared with previous findings.

 In this paper, we concentrate on the analysis of the breakdown of an unreliable server with batch arrival retrial queue and non-mandatory re-service with modified Bernoulli vacation. The behavior of impatient customers is considered for this analysis. The basic presumption of this paper is that there is a delay following a breakdown before the repair begins. After receiving the service, a customer gets two different possibilities: those who can depart the system or, in case of some customers, they can retry the service. Using the Supplementary Variable Technique, the steady state has been derived and its results are compared with previous findings.

Makale detayları

Bulk arrival queue with unreliable server, balking and modified Bernoulli vacation

Yazarlar:

Bharathi Jagannathan | Nandhini Sivasubramaniam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.289-304

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312247

pISSN:

2651-477X

Re-attempt queue

non-mandatory re-service

modified Bernoulli vacation

impatient customers

Sayı

Makale detayları

Bulk arrival queue with unreliable server, balking and modified Bernoulli vacation

Yazarlar: Bharathi Jagannathan | Nandhini Sivasubramaniam

Yayıncı: Hacettepe University

Ana Başlıklar: Statistics

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.289-304

Belge Tipi: Makale

Yayın Tarihi: 2/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001312247

pISSN: 2651-477X

Re-attempt queue

non-mandatory re-service

modified Bernoulli vacation

impatient customers

Sayı

Yazarlar:

Bharathi Jagannathan | Nandhini Sivasubramaniam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.289-304

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312247

pISSN:

2651-477X