Question: A computer system queues up batch jobs and processes them on an FCFS basis. Between 2 and 5 P.M., jobs arrive at an average rate

A computer system queues up batch jobs and processes them on an FCFS basis.

Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require an average of 1.2 minutes of computer time. Assume the arrival process is Poisson and the processing times are exponentially distributed.

a. What is the expected number of jobs in the system and in the queue in the steady state?

b. What are the expected flow time and the time in the queue in the steady state?

c. What is the probability that the system is empty?

d. What is the probability that the queue is empty?

e. What is the probability that the flow time of a job exceeds 10 minutes?

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 Principles Of Operations Questions!

The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following...

A computer system queues up batch jobs and processes them on an FCFS basis. Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require an average of 1.2 minutes of computer time....

Dream Chocolate Company: Choosing a Costing System 647 TABLE 5 (continued) Panel D: Activity-Based Information Actual Actual Activity Amount Level Driver Volume Area Supplies $3,600 Unit-level Trace...

could you answer the question which I did wrong? thank you? Question 3 0 out of 1 points The major purpose of cost accounting is to Selected Answer: a. measure, record, and report all costs Answers:...

Chapter Six Union Organizing Campaigns This chapter is the first of two chapters that examine how unions organize new bargaining units and how and why employers attempt to avoid being unionized....

Parts arrive according to a Poisson process with mean rate 2 0 per hour. Upon arrival, parts move to a holding vat where they are held until they are moved to a workstation containing two single -...

Two Discussion Questions. A minimum of 200 words per question. Both questions are attached to the word document and each chapter to both questions are attached to the PDF. Any references/citations...

The forecast for each week of a four-week schedule is 50 units. The MPS rule is to schedule production if the projected on-hand inventory would be negative without it. Customer orders (committed) are...

Vincenzo Dobadoni Investment Profile (adapted from 1998 CFA level III exam) 1. Underline the word at right that best describes the clients. 2. Discuss appropriate client objectives: A. Risk B. Return...

ercier Manufacturing produces a plastic part in three sequential departments: Extruding. Fabiicating and Packaging. Mercier uses weighted - average process costing method to account for costs of...

In August, Joplin Designs sold $510,000 of merchandise; all sales were in cash. The cost of sales for August was $400,000. Based on past experience, Joplin uses an estimated return rate of 3% of...