The probability that a machine will have to wait for an adjustment.

Question

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Answer 1

Question

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

e.

Summary Introduction

To determine: Optimum number of operators.

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10. Two operators handle adjustments for a group of 10 machines. Adjustment time is exponentiallydistributed and has a mean of 14 minutes per machine. The machines operate for an average of86 minutes between adjustments. While running, each machine can turn out 50 pieces per hour.Find the following:a. The probability that a machine will have to wait for an adjustmentb. The average number of machines waiting for adjustmentc. The average number of machines being servicedd. The expected hourly output of each machine, taking adjustments into accounte. Machine downtime represents a cost of $70 per hour; operator cost (including salary andfringe benefits) is $15 per hour. What is the optimum number of operators?

2. A repair and inspection facility consists of two stations: a repair station with two technicians, and an inspector station with 1 inspector. Each repair technician works at the rate of 3 items per hour; the inspector can inspect 8 items per hour. Approximately 10% of all items fail inspection and are sent back to the repair station. (This percentage holds even for items that have been repaired two or more times.) If items arrive at the rate of 5 per hour, what is the long-run expected delay that items experience at each of the two stations, assuming a Poisson arrival process and exponentially distributed service times? What is the maximum arrival rate that the system can handle without adding personnel?

A queuing model which follows the M/M/1 assumptions has λ = 2 and μ = 3. The average waiting time in the system is

Answer 2

Question

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

e.

Summary Introduction

To determine: Optimum number of operators.

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Answer 3

Question

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

e.

Summary Introduction

To determine: Optimum number of operators.

Expert Solution & Answer

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Answer 4

Question

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

e.

Summary Introduction

To determine: Optimum number of operators.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

e.

Summary Introduction

To determine: Optimum number of operators.

Answer 6

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

Answer 7

Chapter 18, Problem 10P

a.

Summary Introduction

To determine: The probability that a machine will have to wait for an adjustment.

Answer 8

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

Answer 9

b.

Summary Introduction

To determine: The average number of machines waiting for adjustment.

Answer 10

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

Answer 11

c.

Summary Introduction

To determine: Average number of machines being serviced (H).

Answer 12

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

Answer 13

d.

Summary Introduction

To determine: Expected hourly output of each machine, taking adjustments into account.

Answer 14

e.

Summary Introduction

To determine: Optimum number of operators.

Answer 15

e.

Summary Introduction

To determine: Optimum number of operators.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 18 - Prob. 1DRQ Ch. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQ Ch. 18 - Prob. 4DRQ Ch. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQ Ch. 18 - Prob. 7DRQ Ch. 18 - Prob. 8DRQ Ch. 18 - Prob. 9DRQ Ch. 18 - Prob. 1TS

The probability that a machine will have to wait for an adjustment.

Concept explainers

To determine: The probability that a machine will have to wait for an adjustment.

To determine: The average number of machines waiting for adjustment.

To determine: Average number of machines being serviced (H).

To determine: Expected hourly output of each machine, taking adjustments into account.

To determine: Optimum number of operators.

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Chapter 18 Solutions