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You searched for subject:(BATCH ARRIVALS). Showing records 1 – 2 of 2 total matches.

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Brunel University

1. Khalaf, Rehab F. On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys.

Degree: PhD, 2012, Brunel University

This research investigates a batch arrival queueing system with a Bernoulli scheduled vacation and random system breakdowns. It is assumed that the repair process does not start immediately after the breakdown. Consequently there maybe a delay in starting repairs. After every service completion the server may go on an optional vacation. When the original vacation is completed the server has the option to go on an extended vacation. It is assumed that the system is equipped with a stand-by server to serve the customers during the vacation period of the main server as well as during the repair process. The service times, vacation times, repair times, delay times and extended vacation times are assumed to follow different general distributions while the breakdown times and the service times of the stand-by server follow an exponential distribution. By introducing a supplementary variable we are able to obtain steady state results in an explicit closed form in terms of the probability generating functions. Some important performance measures including; the average length of the queue, the average number of customers in the system, the mean response time, and the value of the traffic intensity are presented. The professional MathCad 2001 software has been used to illustrate the numerical results in this study.

Subjects/Keywords: 004.2; Bernoulli schedule vacation; Batch arrivals; Supplementary variable technique; Markov process; Probability generating function

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Khalaf, R. F. (2012). On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys. (Doctoral Dissertation). Brunel University. Retrieved from http://bura.brunel.ac.uk/handle/2438/6416 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553646

Chicago Manual of Style (16th Edition):

Khalaf, Rehab F. “On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys.” 2012. Doctoral Dissertation, Brunel University. Accessed January 21, 2020. http://bura.brunel.ac.uk/handle/2438/6416 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553646.

MLA Handbook (7th Edition):

Khalaf, Rehab F. “On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys.” 2012. Web. 21 Jan 2020.

Vancouver:

Khalaf RF. On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys. [Internet] [Doctoral dissertation]. Brunel University; 2012. [cited 2020 Jan 21]. Available from: http://bura.brunel.ac.uk/handle/2438/6416 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553646.

Council of Science Editors:

Khalaf RF. On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys. [Doctoral Dissertation]. Brunel University; 2012. Available from: http://bura.brunel.ac.uk/handle/2438/6416 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553646

2. ΚΑΤΣΑΡΟΣ, ΑΠΟΣΤΟΛΟΣ. ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ.

Degree: 1996, Πανεπιστήμιο Ιωαννίνων; University of Ioannina

ΕΞΕΤΑΖΟΝΤΑΙ ΣΥΣΤΗΜΑΤΑ ΑΝΑΜΟΝΗΣ ΜΕ ΚΥΡΙΟ ΓΝΩΡΙΣΜΑ ΟΤΙ ΠΕΛΑΤΕΣ Ν-ΔΙΑΦΟΡΕΤΙΚΩΝ ΚΑΤΗΓΟΡΙΩΝ ΠΡΟΤΕΡΑΙΟΤΗΤΩΝ ΕΡΧΟΝΤΑΙ ΣΤΗΝ ΙΔΙΑ ΟΜΑΔΑ.ΟΙ ΕΞΥΠΗΡΕΤΗΣΕΙΣ ΤΩΝ ΠΕΛΑΤΩΝ ΑΚΟΛΟΥΘΟΥΝ ΓΕΝΙΚΕΣ ΚΑΤΑΝΟΜΕΣ,ΔΙΑΦΟΡΕΤΙΚΕΣ ΓΙΑ ΚΑΘΕ ΚΑΤΗΓΟΡΙΑ.Ο ΥΠΑΛΛΗΛΟΣ ΕΞΥΠΗΡΕΤΗΣΗΣ ΕΙΝΑΙ ΔΥΝΑΤΟΝ ΝΑ ΕΓΚΑΤΑΛΕΙΠΕΙ ΤΟ ΣΥΣΤΗΜΑ,ΟΤΑΝ ΔΕΝ ΥΠΑΡΧΟΥΝ ΠΕΛΑΤΕΣ,ΓΙΑ ΝΑΕΚΤΕΛΕΣΕΙ ΚΑΙ ΑΛΛΕΣ ΔΕΥΤΕΡΕΥΟΥΣΕΣ ΔΟΥΛΕΙΕΣ.ΕΞΕΤΑΖΟΝΤΑΙ ΔΥΟ ΕΙΔΗ ΠΡΟΤΕΡΑΙΟΤΗΤΩΝ(ΑΣΘΕΝΕΙΣ,ΙΣΧΥΡΕΣ).ΒΡΙΣΚΟΝΤΑΙ ΟΙ ΑΠΟ ΚΟΙΝΟΥ ΚΑΤΑΝΟΜΕΣ ΤΟΥ ΑΡΙΘΜΟΥ ΤΩΝ ΠΕΛΑΤΩΝ ΣΤΟ ΣΥΣΤΗΜΑ ΣΕ ΣΥΝΑΡΤΗΣΗ ΜΕ ΤΟΝ ΧΡΟΝΟ ΓΙΑ ΤΕΣΣΕΡΑ ΔΙΑΦΟΡΕΤΙΚΑ ΣΥΣΤΗΜΑΤΑ(ΑΣΘΕΝΕΙΣ-ΙΣΧΥΡΕΣ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ,ΜΕ-ΧΩΡΙΣ ΔΙΑΚΟΠΕΣ ΤΟΥ ΥΠΑΛΛΗΛΟΥ).ΤΕΛΟΣ ΔΙΝΟΝΤΑΙ ΜΕΣΕΣ ΤΟΥ ΑΡΙΘΜΟΥ ΤΩΝ ΠΕΛΑΤΩΝ ΣΤΟ ΣΥΣΤΗΜΑ ΧΩΡΙΣΤΑ ΓΙΑ ΚΑΘΕ ΚΑΤΗΓΟΡΙΑ ΠΕΛΑΤΩΝ,ΚΑΘΩΣ ΚΑΙ ΠΙΝΑΚΕΣ ΑΡΙΘΜΗΤΙΚΩΝ ΑΠΟΤΕΛΕΣΜΑΤΩΝ.

WE STUDY QUEUEING SYSTEMS WHERE CUSTOMERS ARRIVE IN BATCHES,AND EVERY BATCH CONTAINS CUSTOMERS HAVING DIFFERENT SERVICE PRIORITIES.CUSTOMERS BELONGING TO EVERY PRIORITY CLASS HAVE GENERALLY DISTRIBUTED SERVICE TIME (DIFFERENT FOR EACH CLASS).THE SERVER MAY LEAVE THE SYSTEM FOR VACATION WHEN THERE ARE NOT CUSTOMERSIN THE SYSTEM.WE EXAMINE TWO TYPES OF PRIORITIES(NON PREEMPTIVE AND PREEMPTIVE).WE FIND THE JOINT DISTRIBUTION OF THE NUMBER OF CUSTOMEERS IN THE SYSTEM,AS AFUNCTION OF TIME,FOR FOUR DIFFERENT SYSTEMS(NON PREEMPTIVE-PREMPTIVE WITH-WITHOUT VACATIONS).FINALLY WE GIVE THE MEAN VALUES OF THE NUMBER OF EACH CLASS CUSTOMER IN THE SYSTEM AND WE GIVE ALSO NUMERICAL EXAMPLES.

Subjects/Keywords: BATCH ARRIVALS; JOINT DISTRIBUTIONS OF CUSTOMERS; N-PRIORITY CLASSES; PREEMPTIVE-NON PREEMPTIVE PRIORITIES; Queues; VACATIONS; Διακοπές υπαλλήλου; ΚΑΤΑΝΟΜΗ ΑΡΙΘΜΟΥ ΠΕΛΑΤΩΝ ΣΤΟ ΣΥΣΤΗΜΑ; Ν-ΚΑΤΗΓΟΡΙΕΣ ΠΕΛΑΤΩΝ; ΟΜΑΔΟΠΟΙΗΜΕΝΕΣ ΑΦΙΞΕΙΣ; ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΠΕΛΑΤΩΝ; ΣΥΣΤΗΜΑΤΑ ΑΝΑΜΟΝΗΣ(ΟΥΡΕΣ)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

ΚΑΤΣΑΡΟΣ, . (1996). ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ. (Thesis). Πανεπιστήμιο Ιωαννίνων; University of Ioannina. Retrieved from http://hdl.handle.net/10442/hedi/8144

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

ΚΑΤΣΑΡΟΣ, ΑΠΟΣΤΟΛΟΣ. “ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ.” 1996. Thesis, Πανεπιστήμιο Ιωαννίνων; University of Ioannina. Accessed January 21, 2020. http://hdl.handle.net/10442/hedi/8144.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

ΚΑΤΣΑΡΟΣ, ΑΠΟΣΤΟΛΟΣ. “ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ.” 1996. Web. 21 Jan 2020.

Vancouver:

ΚΑΤΣΑΡΟΣ . ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ. [Internet] [Thesis]. Πανεπιστήμιο Ιωαννίνων; University of Ioannina; 1996. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/10442/hedi/8144.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

ΚΑΤΣΑΡΟΣ . ΣΥΜΒΟΛΗ ΣΤΗ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ ΕΞΥΠΗΡΕΤΗΣΗΣ ΜΕ ΠΡΟΤΕΡΑΙΟΤΗΤΕΣ ΚΑΙ ΔΙΑΚΟΠΕΣ. [Thesis]. Πανεπιστήμιο Ιωαννίνων; University of Ioannina; 1996. Available from: http://hdl.handle.net/10442/hedi/8144

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.