Formulate and solve a nonlinear programming model

Assignment Help Project Management
Reference no: EM131316581

The Metro Police Department has partitioned the city into four quadrants. The department has 20 police patrol cars available for each shift per day to assign to the quadrants. The depart- ment wants to assign patrol cars to the quadrants during a shift so that the crime rate is minimized while providing average response times to calls of less than 10 minutes. As patrol cars are assigned to a quadrant, the crime rate and response time decrease, but at a decreasing rate according to the following formula:
y= a+ ( b/ x)

The aand bparameters for daily crime rate (expressed as crimes per 1,000 population) and response time (in minutes) are provided in the following table:

CrimeRate Response Time(min.)

Quadrant

a

b


a

b

1

0.24

0.15


4

11

2

0.37

0.21


8

8

3

0.21

0.12


6

10

4

0.48

0.30


3

9


Formulate and solve a nonlinear programming model to determine the number of police patrol cars to assign to each quadrant that will result in the minimum overall crime rate.

Reference no: EM131316581

What effect did it have on the project

Risk is present in nearly every human undertaking and projects are no exception. Recall a project that you have participated in and name at least one risk that was recognize

Business of developing test equipment for the tire industry

Macon, Inc. Macon was a fifty-year-old company in the business of developing test equipment for the tire industry. The company had a history of segregated departments with ver

Describe the role of software in project management

Discuss how project management techniques can be used to improve the completion of projects. With this in mind, discuss the role of start and finish times with respect to pr

How would you plan for triangulation in given study

You are doing an ethnographic study to better understand why students do or do not participate in student activities.- How would you plan for triangulation in given study?

Technological breakthrough in snow board finish application

Fast Finish, Inc. (FFI) has made a technological breakthrough in snow board finish application. FFI will apply the finish for $0.23 per unit in variable costs plus a fixed ann

How do the businesses manage given products

Identify examples from your own country or region of products that continue to be successful in the market despite the fact that they are in the maturity stage of their life

Implications of the internal environment

Individual Assignment: Analysing and Evaluating Implications of the Internal Environment. Examine and critically review the peer and faculty feedback that was offered during t

Identify one balancing loop and one reinforcing loop

Identify one Balancing Loop and one Reinforcing Loop. These feedback loops should be critical to Whole Foods Market's performance and success. You should have a good idea of w

Reviews

Write a Review

 
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd