EBK PRODUCTION AND OPERATIONS ANALYSIS
EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 9781478628385
Author: Olsen
Publisher: WAVELAND PRESS (ECONTENT)
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Chapter 7.3, Problem 11P

a)

Summary Introduction

Interpretation: probabilities of no customer in 5 mins.

Concept introduction: Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probabilities of exactly one customer in a min.

Concept introduction: Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

c)

Summary Introduction

Interpretation: probabilities of exactly two customers in 2mins.

Concept introduction: Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

d)

Summary Introduction

Interpretation: probability of at least two customers in 10 mins.

Concept introduction: Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

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The binding constraints for this problem are the second and third constraints are binding. Min x1 + 2x2 s.t. x1 + x2 ≤ 300 2x1 + x2 ≥ 400 2x1 + 5x2 ≥750 X1, X220 (a) Keeping the second objective function coefficient fixed at 2, over what range can the first objective function coefficient vary before there is a change in the optimal solution point? The first objective coefficient can from a low of to a high of (b) Keeping the first objective function coefficient fixed at 1, over what range can the second objective function coefficient vary before there is a change in the optimal solution point? The second objective coefficient can from a low of to a high of (c) If the objective function becomes Min 1.5x₁ + 2x2, what will be the optimal values of x1 and x2? x1 = X2 = What is the value of the objective function at the minimum? (d) If the objective function becomes Min 7x₁ + 6x2, what constraints will be binding? (Select all that apply.) First Constraint Second Constraint Third Constraint…
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