COURSE: INDUSTRIAL ENGINEERING LESSON: REPRESENTATION OF QUEU NG MODEL
ABOUT ME Graduated from NIT Nagpur in 2008 Cleared Engineering Services Examination (ESE-UPSC) Exam Got the offer letter from most of the Maharatna and Navratna Companies Cleared GATE Exam Rate, Review, Recommend, Share Follow me on Unacademy at: https://unacademv.in/user/harshit aggarwal
REPRESENTATION OF QUEU NG MODEL Queuing model are normally represented by Kendall and Lee' notations whose general formula is (a/b/c): (d/e/t1) Where a arrival pattern b-- service pattern c-number of serve d service rule or discipline e maximum number of customers allowed in system fcalling population or source
REPRESENTATION OF QUEU NG MODEL Symbol for a & b: M Markovian (M) (Poisson) for arrival or exponential service line GI General Independent arrival distribution E = Erlangan or Gamma Distribution D = Deterministic Inter Arrival or service Time Symbol for c: 1,2,3,4.. Symbol for d: FIFO or FCFS, LIFO, SIRO Symbol for e and f:N--finite, nfinte
EXAMPLE - (M/M/): (FIFO/o/o) This notation denotes queuing model in which arrivals are Poisson distributed, exponential service time in a single server,the size of system and calling population is infinite and the service rule is First In First Out
IMPORTANT TERMS 2. Example-o cust h a lo /d= Sesvice Rake. (Exponential) 15 cust ms lates-Sevice time-_-_.Ymin/cust stem oodes F.B
IMPORTANT TERMS A) System Utilisation Utilisation Factor Channel Efficiency Clearing Ratio Percentage Utilisation Percentage time server is busy Probability that a customer has to wait
IMPORTANT TERMS B) Probability that the system is idle or probability of zero customer in the system or probability that a customer does not have to wait in the queue. Pa S
IMPORTANT TERMS C) Probability of having exactly 'n' customers in the system + 00
IMPORTANT TERMS D) Average number of customers in the system = average number of customers being served + those waiting in the queue I- S
40 lessons,
6h 1m
Enroll
449
✕Download
Harshit Aggarwal
Cleared UPSC ESE twice with Rank 63 and 90 in mechanical engg. Got 99 percentile in GATE. Cracked ONGC, BHEL,ISRO, SAIL, GAIL successfully
U
Unacademy user
Akshay Gurnule
2 years ago
society for worldwide internal financial telecommunications
0
Reply