Question: 7.17 Consider an M/G/1 queueing system where service is rendered in the following manner. Before a customer is served, a biased coin whose probability of

7.17 Consider an M/G/1 queueing system where service is rendered in the following manner. Before a customer is served, a biased coin whose probability of heads is p is flipped. If it comes up heads, the service time is exponentially distributed with mean 1=μ. If it comes up tails, the service time is constant at

d. Calculate the following:

a. The mean service time, E½X

b. The coefficient of variation, CX, of the service time

c. The expected waiting time, E½W

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability And Stochastic Modeling Questions!

Consider an M/G/1 queueing system where service is rendered in the following manner. Before a customer is served, a biased coin whose probability of heads is p is flipped. If it comes up heads, the...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

9 Consider a continuous-time Markov chain {X(t)} whose jump chain is the success run chain from Problem 16. Give a condition on the holding time parameters ?(k), k = 0, 1, ... guaranteeing that...

gThe voice mail server then phones the user at the phone nearest to him/her. After authentication by typing a code, the server reads the user's mail to him/her using a speech synthesiser. The...

Consider an M/G/1 queueing system with arrival rate ,service time distribution B(t), LST B(s), and service time moments i, i > 1. Assume the system to reach steady state conditions. Use the derived...

3. Consider an M/G/1 queueing system in which service is given as follows. Upon entry into service, a coin is tossed, which has probability p of giving Heads. If the result is Heads, the service time...

. Consider an M/G/1 queueing system in steady state. Show that {k;} is geometric iff { p;}, j = 0, 1, 2, . .., is geometric. The result also holds for the zero-truncated geometric, that is, for j =...

One of the main lessons of queueing theory (Chaps. 17 and 18) is that the amount of variability in the service times and interarrival times has a substantial impact on the measures of performance of...

X2 Kindly help 1. Consider a single server, infinite capacity FCFS queue where the arrivals come in batches of either one or two, with equally likely probabilities. The batch arrival process is...

We wish to find a single-sampling plan for a situation where lots are shipped from a supplier. The suppliers process operates at a fallout level of 0.50% defective. We want the AOQL from the...

Distinguish between little JIT and big JIT.

1 Problem 1 2 - 4 3 ( LO 1 2 - 3 ) ( Static ) . 5 7 oints Gray's employer is now offering group - term life insurance. The comp insurance. It costs Gray's employer $ 3 0 0 to provide this amount of...

Draw all tertiary amines with molecular formula C 5 H 13 N, and provide a name for each isomer. Are any of these compounds chiral?