An Optimum Control of a Batch Arrival Queue with Second Optional Service and Setup tiyie under Bernoulli Vaction Schedule
| dc.category | Journal Article | |
| dc.contributor.author | Afthab Begum, M I | |
| dc.date.accessioned | 2017-03-31T22:42:19Z | |
| dc.date.available | 2017-03-31T22:42:19Z | |
| dc.date.issued | 2012 | |
| dc.department | Mathematics | en_US |
| dc.description.abstract | All M'/G/l iiueiteiiig system with s e e o iid op tion al serv ice (SOS)is stud ied iitider Aipolicy an d lienwuHi Vacatioti. The system remains id le until the qu eu e size r e a ch e s or ex c e ed s N (> I). When the qu eu e size r e a ch e s at leitst\, the server may begin his setup op eration with p robability s o r tnay start the serv ice with p robability ( l-s). The serv er provides two p h a s e s o f h eterog etieou s services, o f which, first p h a s e o f serv ice is essen tia l attd secon d p h a s e o f serv ice is opiiotial. I v soon as the first essen tial serv ice (FES) o f a unit is com p leted , the custouter tnay lea v e the systetn with p robability (l-r) o r tnay immediately opt fo r SOS with p robability r, Whetieverthe serv ice o f ea ch unit is completed, th e se rv er will h a v e th e option o f lahitig v acaliotifliernoulli). Thus a customer com p letes his service, by utidergoing F E S alone, the serv er may ta k e a vacatioti with prob ab ility p/orstays id le o r cotititiue th e next serv ice to the new cu stom er ifatiy ,with p robability (l-p ij. I f th e customer who fin ish e s F E S p ro c e ed s to SOS them th e se rv er may ta k e vacation at th e end o f SOS with p ro b a b ility p 2 o r Slavs idle o r continues with th e F E S fo r the new customer*with probahilitv (l-p :) a cco rd in g as the system is empty o r having customers in the system. The qu eu e size distribution at a rand om ep o ch is o b ta in ed f o r this m od el using SVT an d various p a rticu la r ca ses a r e deduced. Furth er various p e r fo rm a n c e m easu res an d the optimum mattag em ent policy a re also derived. | en_US |
| dc.identifier.uri | https://ir.avinuty.ac.in/handle/avu/2467 | |
| dc.lang | English | en_US |
| dc.publisher.name | American Journal of mathmatical Sciences | en_US |
| dc.publisher.type | International | en_US |
| dc.title | An Optimum Control of a Batch Arrival Queue with Second Optional Service and Setup tiyie under Bernoulli Vaction Schedule | en_US |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- maths_2012_013.pdf
- Size:
- 3.76 MB
- Format:
- Adobe Portable Document Format