Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A factory produces a certain type of car parts. There are four alternative machines that can be used for the production of the car parts

A factory produces a certain type of car parts. There are four alternative machines that can be used for the production of the car parts from start to finish. Each of the machines needs to be controlled by an individual operator. The operators have different efficiencies on different machines. The table below shows how many car parts the individual operators produce in average per day. Furthermore, this table shows how many erroneous parts the individual operators produce in average. Your task is to find out where the operators should be placed such that they produce as many as possible car parts. At the same time, the number of erroneous parts should not exceed 4 % of the total production.

Production per day:


Machine AMachine BMachine CMachine D
Operator 118202117
Operator 219152218
Operator 320201719
Operator 424211623
Operator 522192121

Number of erroneous parts per day:


Machine AMachine BMachine CMachine D
Operator 10,30,90,60,4
Operator 20,80,51,10,7
Operator 31,11,30,60,8
Operator 41,20,80,60,9
Operator 51,00,91,01,0

a) Set up a mathematical program for this problem.

b) Implement this problem in Excel and try to find a solution with the Excel Solver!

c) Neglecting the constraint concerning the erroneous products, how many feasible solutions does this problem have?

d) For health reasons, operator 1 needs to be placed on machine 1. Draw a sketch that can used as a departing point for a branch-and-bound approach that solves this problem more efficiently than brute force (brute force means that we evaluate all possible solutions).

e) Execute your version of the Branch-and-bound approach to solve this problem.


Step by Step Solution

3.34 Rating (157 Votes )

There are 3 Steps involved in it

Step: 1

Each machine needs 1 operator only Now in this case we have ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Quality Inspired Management The Key to Sustainability

Authors: Harold Aikens

1st edition

131197568, 978-0131197565

More Books

Students also viewed these General Management questions