Bulk Arrival Two Phase Retrial Queue with Two Types Service and Extended Bernoulli Vacation
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 7
Abstract
This paper is concerned with the analysis of a single server batch arrival retrial queueing system with optional extended server vacation. Server provides two stages of heterogeneous service in succession. Each phase has two types of service and the customer has the option to choice any one of the two types at the time of service. After completion of the second phase service, the server takes Bernoulli vacation. After the vacation completion the server has the option to extend the vacation. The steady state distributions of the server state and the number of customers in the orbit are obtained along with other system characteristics. A general decomposition law for the model is established. Numerical results are calculated.
Authors and Affiliations
J. Ebenesar Anna Bagyam,
Fixed points for α-ᴪ Contractive Mapping in 2-Metric spaces
In this paper, we introduce the notion of α-ᴪ contractive type mappings in 2-metric spaces and establish fixed point theorems for these mappings.
Decompositions of Some Types of Supra Soft Sets and Soft Continuity
In this paper we introduce the notion of supra soft topological spaces. We extend the notion of -operation, pre-open soft sets, -open soft sets, semi-open soft sets and -open soft sets to such spaces and study their prop...
Numerical Solution of Fuzzy Differential Equations by Adams fifth order predictor-corrector method
In this paper, an Adams fifth order predictor-corrector (AFPC) method is developed to solve the fuzzy initial value problems(IVPs). The AFPC method is generated by compining an explicit five step method and implicit four...
Construction of PBIB designs through chosen lines and Triangles of graphs
In this paper, we have constructed partially balanced incomplete block (PBIB) designs with two and three associate classes by establishing a link between PBIB designs and graphs through the chosen lines and number of tri...
Determinants of Students’ Achievements in Senior Secondary School Mathematics and Sciences: What is the role of Test Response Mode and Locus of Control?
This study investigated the effects of test response mode and locus of control on student’s achievements in senior secondary school mathematics and sciences within the blueprint of casual-comparative research of an...