DualSVioSum

Solutions
By Type

Gurobi Optimizer

Gurobi Compute Server

Gurobi Instant Cloud

Licensing

Training

By Role

Data Scientists

Operations Researchers

Business Leaders

Academics

Consultants and ISVs

By Industry

Telecom

Power and Utilities

Supply Chain

Financial Services

Oil and Gas

All Industries
Resources
FAQs

What is Decision Intelligence?

What is Mathematical Optimization?

What is Prescriptive Analytics?

What is Gurobi Optimizer?

What is Gurobi Experts?

Why Choose Gurobi?

What is a MIP Solver?

Learn

Events and Webinars

Blog

Solution Sheets

Management Guides

Research Reports

Product Demos

LP and MIP Training

All Resources

Use Cases

Customer Case Studies

Jupyter Examples

Don’t Go It Alone. Gurobi and Its Partners Provide the Continuum of Support You Need.

While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of trusted partners who can support you in achieving your optimization goals.

Learn More

Free Udemy Course: Intro to Optimization

Unlock the power of optimized decision-making with this online course developed by Gurobi in partnership with Dr. Joel Sokol, professor at Georgia Tech.

Learn More

Optilogic Extends Partnership with Gurobi, Driving Progress to Solve the Biggest, Most Complicated Supply Chain Problems

The two companies are collaborating on exciting new ways MILP and AI can be used to solve the biggest, most complicated supply chain problems.

Learn More

Try our new documentation site (beta).

Type:	double
Modifiable:	No

Sum of (scaled) reduced cost violations.

Only available for continuous models.

For examples of how to query or modify attributes, refer to our Attribute Examples.

GUROBI NEWSLETTER

Privacy Overview

This website uses cookies to improve your experience while you navigate through the website. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. We also use third-party cookies that help us analyze and understand how you use this website. These cookies will be stored in your browser only with your consent. You also have the option to opt-out of these cookies. But opting out of some of these cookies may affect your browsing experience.

Necessary

Always Enabled

Necessary cookies are absolutely essential for the website to function properly. These cookies ensure basic functionalities and security features of the website, anonymously.

Cookie	Duration	Description
_biz_flagsA	1 year	A Cloudflare cookie set to record users’ settings as well as for authentication and analytics.
_biz_pendingA	1 year	A Cloudflare cookie set to record users’ settings as well as for authentication and analytics.
_biz_sid	30 minutes	This cookie is set by Bizible, to store the user's session id.
ARRAffinity	session	ARRAffinity cookie is set by Azure app service, and allows the service to choose the right instance established by a user to deliver subsequent requests made by that user.
ARRAffinitySameSite	session	This cookie is set by Windows Azure cloud, and is used for load balancing to make sure the visitor page requests are routed to the same server in any browsing session.
BIGipServersj02web-nginx-app_https	session	NGINX cookie
cookielawinfo-checkbox-advertisement	1 year	Set by the GDPR Cookie Consent plugin, this cookie is used to record the user consent for the cookies in the "Advertisement" category .
cookielawinfo-checkbox-analytics	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Analytics".
cookielawinfo-checkbox-functional	11 months	The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional".
cookielawinfo-checkbox-necessary	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary".
cookielawinfo-checkbox-others	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other.
cookielawinfo-checkbox-performance	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Performance".
CookieLawInfoConsent	1 year	Records the default button state of the corresponding category & the status of CCPA. It works only in coordination with the primary cookie.
elementor	never	This cookie is used by the website's WordPress theme. It allows the website owner to implement or change the website's content in real-time.
JSESSIONID	session	New Relic uses this cookie to store a session identifier so that New Relic can monitor session counts for an application.
viewed_cookie_policy	11 months	The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It does not store any personal data.

Functional

Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features.

Cookie	Duration	Description
__cf_bm	30 minutes	This cookie, set by Cloudflare, is used to support Cloudflare Bot Management.
_biz_nA	1 year	Bizible sets this cookie to remember users’ settings as well as for authentication and analytics.
_biz_uid	1 year	This cookie is set by Bizible, to store user id on the current domain.
_hjAbsoluteSessionInProgress	30 minutes	Hotjar sets this cookie to detect a user's first pageview session, which is a True/False flag set by the cookie.
_mkto_trk	2 years	This cookie is set by Marketo. This allows a website to track visitor behavior on the sites on which the cookie is installed and to link a visitor to the recipient of an email marketing campaign, to measure campaign effectiveness. Tracking is performed anonymously until a user self-identifies by submitting a form.
bcookie	1 year	LinkedIn sets this cookie from LinkedIn share buttons and ad tags to recognize browser ID.
bscookie	1 year	LinkedIn sets this cookie to store performed actions on the website.
doc_langsBB	1 year	Documentation system cookie
doc_version	1 year	Documentation system cookie
lang	session	LinkedIn sets this cookie to remember a user's language setting.
lidc	1 day	LinkedIn sets the lidc cookie to facilitate data center selection.
UserMatchHistory	1 month	LinkedIn sets this cookie for LinkedIn Ads ID syncing.
whova_client_id	10 years	Event agenda system cookie

Performance

Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors.

Cookie	Duration	Description
_gat_UA-5909815-1	1 minute	A variation of the _gat cookie set by Google Analytics and Google Tag Manager to allow website owners to track visitor behaviour and measure site performance. The pattern element in the name contains the unique identity number of the account or website it relates to.

Analytics

Analytical cookies are used to understand how visitors interact with the website. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc.

Cookie	Duration	Description
_an_uid	7 days	6Sense Cookie
_BUID	1 year	This cookie, set by Bizible, is a universal user id to identify the same user across multiple clients’ domains.
_ga	2 years	The _ga cookie, installed by Google Analytics, calculates visitor, session and campaign data and also keeps track of site usage for the site's analytics report. The cookie stores information anonymously and assigns a randomly generated number to recognize unique visitors.
_ga_*	1 year 1 month 4 days	Google Analytics sets this cookie to store and count page views.
_gat_UA-*	1 minute	Google Analytics sets this cookie for user behaviour tracking.
_gcl_au	3 months	Provided by Google Tag Manager to experiment advertisement efficiency of websites using their services.
_gd_session	4 hours	This cookie is used for collecting information on users visit to the website. It collects data such as total number of visits, average time spent on the website and the pages loaded.
_gd_visitor	2 years	This cookie is used for collecting information on the users visit such as number of visits, average time spent on the website and the pages loaded for displaying targeted ads.
_gid	1 day	Installed by Google Analytics, _gid cookie stores information on how visitors use a website, while also creating an analytics report of the website's performance. Some of the data that are collected include the number of visitors, their source, and the pages they visit anonymously.
_hjFirstSeen	30 minutes	Hotjar sets this cookie to identify a new user’s first session. It stores the true/false value, indicating whether it was the first time Hotjar saw this user.
_hjIncludedInSessionSample_*	2 minutes	Hotjar cookie that is set to determine if a user is included in the data sampling defined by a site's daily session limit.
_hjRecordingEnabled	never	Hotjar sets this cookie when a Recording starts and is read when the recording module is initialized, to see if the user is already in a recording in a particular session.
_hjRecordingLastActivity	never	Hotjar sets this cookie when a user recording starts and when data is sent through the WebSocket.
_hjSession_*	30 minutes	Hotjar cookie that is set when a user first lands on a page with the Hotjar script. It is used to persist the Hotjar User ID, unique to that site on the browser. This ensures that behavior in subsequent visits to the same site will be attributed to the same user ID.
_hjSessionUser_*	1 year	Hotjar cookie that is set when a user first lands on a page with the Hotjar script. It is used to persist the Hotjar User ID, unique to that site on the browser. This ensures that behavior in subsequent visits to the same site will be attributed to the same user ID.
_hjTLDTest	session	To determine the most generic cookie path that has to be used instead of the page hostname, Hotjar sets the _hjTLDTest cookie to store different URL substring alternatives until it fails.
6suuid	2 years	6Sense Cookie
AnalyticsSyncHistory	1 month	LinkedIn cookie
BE_CLA3	1 year 1 month 4 days	BrightEdge sets this cookie to enable data aggregation, analysis and report creation to assess marketing effectiveness and provide solutions for SEO, SEM and website performance.
CONSENT	2 years	YouTube sets this cookie via embedded youtube-videos and registers anonymous statistical data.
dj	10 years	DemandJump cookie
djaimid.a28e	2 years	DemandJump cookiean
djaimses.a28e	30 minutes	DemandJump cookie
li_gc	5 months 27 days	LinkedIn Cookie
ln_or	1 day	LinkedIn Cookie
vuid	2 years	Vimeo installs this cookie to collect tracking information by setting a unique ID to embed videos to the website.

Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. These cookies track visitors across websites and collect information to provide customized ads.

Cookie	Duration	Description
__adroll	1 year 1 month	This cookie is set by AdRoll to identify users across visits and devices. It is used by real-time bidding for advertisers to display relevant advertisements.
__adroll_fpc	1 year	AdRoll sets this cookie to target users with advertisements based on their browsing behaviour.
__adroll_shared	1 year 1 month	Adroll sets this cookie to collect information on users across different websites for relevant advertising.
__ar_v4	1 year	This cookie is set under the domain DoubleClick, to place ads that point to the website in Google search results and to track conversion rates for these ads.
_fbp	3 months	This cookie is set by Facebook to display advertisements when either on Facebook or on a digital platform powered by Facebook advertising, after visiting the website.
_te_	session	Adroll cookie
fr	3 months	Facebook sets this cookie to show relevant advertisements to users by tracking user behaviour across the web, on sites that have Facebook pixel or Facebook social plugin.
IDE	1 year 24 days	Google DoubleClick IDE cookies are used to store information about how the user uses the website to present them with relevant ads and according to the user profile.
li_sugr	3 months	LinkedIn sets this cookie to collect user behaviour data to optimise the website and make advertisements on the website more relevant.
test_cookie	15 minutes	The test_cookie is set by doubleclick.net and is used to determine if the user's browser supports cookies.
VISITOR_INFO1_LIVE	5 months 27 days	A cookie set by YouTube to measure bandwidth that determines whether the user gets the new or old player interface.
YSC	session	YSC cookie is set by Youtube and is used to track the views of embedded videos on Youtube pages.
yt-remote-connected-devices	never	YouTube sets this cookie to store the video preferences of the user using embedded YouTube video.
yt-remote-device-id	never	YouTube sets this cookie to store the video preferences of the user using embedded YouTube video.
yt.innertube::nextId	never	This cookie, set by YouTube, registers a unique ID to store data on what videos from YouTube the user has seen.
yt.innertube::requests	never	This cookie, set by YouTube, registers a unique ID to store data on what videos from YouTube the user has seen.

Others

Documentation

DualSVioSum

Try Gurobi for Free

Evaluation License

Academic License

Cloud Trial

Search

RSS Feeds

News

Events

Resources

Jupyter Models

Case Studies

FAQs

Industries

Features