The following information refers to questions 1-6. A single server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes, the service times are distributed according to the negative exponential distribution. 1.The average time a customer can expect to wait in line is: A. 18 minutes B. 36 minutes C. 30 minutes D. 60 minutes 2. The probability that the system is idle is: A. 0 B. 0.20 C. 0.40 D. 0.60 3. The expected number of customers in the system is: A. 3.0 B. 1.5 C. 1.0 D. 0.90 4. A model is a functional relationship that includes: i. variables ii. parameters iii. equations A. i only B. ii only C. iii only D. i, ii and iii 5. A single-phase waiting-line system meets the assumptions of constant service time or M /D/. Units arrive at this system every 12 minutes on average. Service takes a constant minutes. What is the average length of the queue Lq in units? A. 0.67 B. 2.5 C. 4.5 D. 5.0 6. The objective function in the linear mathematical model: A. reflects the terms of the decision-making variables B. represents the feasible levels of activity C. are symbols the restrict decision making D. restrict the decision variables to zero or positive values

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following information refers to questions 1-6. A single server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes, the service times are distributed according to the negative exponential distribution. 1.The average time a customer can expect to wait in line is: A. 18 minutes B. 36 minutes C. 30 minutes D. 60 minutes 2. The probability that the system is idle is: A. 0 B. 0.20 C. 0.40 D. 0.60 3. The expected number of customers in the system is: A. 3.0 B. 1.5 C. 1.0 D. 0.90 4. A model is a functional relationship that includes: i. variables ii. parameters iii. equations A. i only B. ii only C. iii only D. i, ii and iii 5. A single-phase waiting-line system meets the assumptions of constant service time or M /D/. Units arrive at this system every 12 minutes on average. Service takes a constant minutes. What is the average length of the queue Lq in units? A. 0.67 B. 2.5 C. 4.5 D. 5.0 6. The objective function in the linear mathematical model: A. reflects the terms of the decision-making variables B. represents the feasible levels of activity C. are symbols the restrict decision making D. restrict the decision variables to zero or positive values

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