MXG1, G21 with Setup Time, Bernoulli Vacation, Break Down, and Delayed Repair

المؤلفون المشاركون

Ayyappan, G.
Shyamala, S.

المصدر

International Journal of Stochastic Analysis

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-03-31

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الرياضيات

الملخص EN

We present a single server in which customers arrive in batches and the server provides service one by one.

The server provides two heterogeneous service stages such that service time of both stages is different and mandatory to all arriving customers in such a way that, after the completion of first stage, the second stage should also be provided to the customers.

The server may subject to random breakdowns with brake down rate λ and, after break down, it should be repaired but it has to wait for being repaired and such waiting time is called delay time.

Both the delay time and repair time follow exponential distribution.

Upon the completion of the second stage service, the server will go for vacation with probability p or stay back in the system probability 1-p, if any.

The vacation time follows general (arbitrary) distribution.

Before providing service to a new customer or a batch of customers that joins the system in the renewed busy period, the server enters into a random setup time process such that setup time follows exponential distribution.

We discuss the transient behavior and the corresponding steady state results with the performance measures of the model.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Ayyappan, G.& Shyamala, S.. 2014. MXG1, G21 with Setup Time, Bernoulli Vacation, Break Down, and Delayed Repair. International Journal of Stochastic Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-505966

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Ayyappan, G.& Shyamala, S.. MXG1, G21 with Setup Time, Bernoulli Vacation, Break Down, and Delayed Repair. International Journal of Stochastic Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-505966

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Ayyappan, G.& Shyamala, S.. MXG1, G21 with Setup Time, Bernoulli Vacation, Break Down, and Delayed Repair. International Journal of Stochastic Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-505966

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-505966