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Representation of Queuing Model
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This lesson throws light on representation of queuing model.

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

Unacademy user
u r best ever sir very helpful.. thanks

  2. 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: aggarwal

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. IMPORTANT TERMS C) Probability of having exactly 'n' customers in the system + 00

  10. IMPORTANT TERMS D) Average number of customers in the system = average number of customers being served + those waiting in the queue I- S