Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended
Mar. 31, 2016	Mar. 31, 2015
Fees and Related Party Transactions [Abstract]
Advisory fees at annual rate of net asset value of fund	1.75%	1.75%
Percentage of incentive allocation	20.00%	20.00%
Incentive Allocation allocated to the Fund by GAIT	$ 0	$ 1,369,198
Administrator's Fee [Abstract]
Administrator's fees	$ 26,225	$ 29,008
Class 0 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees at annual rate of net asset value of fund	0.75%
Class 2 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees at annual rate of net asset value of fund	2.75%

No definition available.

Name:	gaifb_AdministratorSFeeAbstract
Namespace Prefix:	gaifb_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Fees paid for services provided by an independent administrator for certain matters pertaining to the administration of the Fund.

+ References

No definition available.

+ Details

Name:	gaifb_AdministratorSFees
Namespace Prefix:	gaifb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount paid to the advisor for management of the day-to-day business functions of the LLC or LP including the fee rate, basis of calculation, relevant accounting period, whether the fee is paid to an entity other than the managing member or General Partner, or whether the fee is waived.

+ References

No definition available.

+ Details

Name:	gaifb_ManagementFee
Namespace Prefix:	gaifb_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Incentive fees which are compensation paid to a trading advisor or to any practitioner who achieves investment results above a specified contractual level.

+ References

No definition available.

+ Details

Name:	gaifb_NoninterestExpenseRelatedToPerformanceFeesPercentage
Namespace Prefix:	gaifb_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- References

No definition available.

+ Details

Name:	gaifb_SponsorFeesAbstract
Namespace Prefix:	gaifb_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Fees paid to advisors who provide certain management support and administrative oversight services including the organization and sale of stock, investment funds, limited partnerships and mutual funds.

+ References

No definition available.

+ Details

Name:	gaifb_SponsorsFee
Namespace Prefix:	gaifb_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of expense for incentive rights held by the managing member or general partner, of limited liability company (LLC) or limited partnership (LP).

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 850
-SubTopic 10
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6457730&loc=d3e39549-107864

+ Details

Name:	us-gaap_IncentiveFeeExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- References

No definition available.

+ Details

Name:	us-gaap_RelatedPartyTransactionsAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_CapitalUnitsByClassAxis=us-gaap_CapitalUnitClassAMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CapitalUnitsByClassAxis=us-gaap_CapitalUnitClassBMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: