SCHEDULE 13D  
  
Amendment No. 4  
Alaska Air Group Incorporated  
common stock   
Cusip # 11659109  
Filing Fee: No  
 
 
Cusip # 11659109  
Item 1:	Reporting Person - FMR Corp. - (Tax ID:  04-2507163)  
Item 4:	PF  
Item 6:	Commonwealth of Massachusetts  
Item 7:	751,700  
Item 8:	None  
Item 9:	1,369,500  
Item 10:	None  
Item 11:	1,482,500  
Item 13:	10.17%  
Item 14:	HC  
 
 
PREAMBLE  
  
	The filing of this Schedule 13D is not, and should not be  
deemed to be, an admission that such Schedule 13D is required to  
be filed.  See the discussion under Item 2.  
  
Item 1.	Security and Issuer.  
  
	This statement relates to shares of the common stock, $0.00  
par value (the "Shares") of Alaska Air Group Incorporated, a  
Delaware corporation (the "Company").  The principal executive  
offices of the Company are located at 19300 Pacific Highway  
South, Seattle, WA  98188.  
  
Item 2.	Identity and Background.  
  
	Item 2 is amended as follows:  
  
	This statement is being filed by FMR Corp., a Massachusetts  
Corporation ("FMR").  A separate Schedule 13D is being filed by  
Fidelity International Limited, a Bermuda joint stock company  
incorporated for an unlimited duration by private act of the  
Bermuda legislature ("FIL").  FMR is a holding company one of  
whose principal assets is the capital stock of a wholly-owned  
subsidiary, Fidelity Management & Research Company ("Fidelity"),  
which is also a Massachusetts corporation.  Fidelity is an  
investment advisor which is registered under Section 203 of the  
Investment Advisors Act of 1940 and which provides investment  
advisory services to more than 30 investment companies which are  
registered under Section 8 of the Investment Company Act of 1940  
and serves as investment advisor to certain other funds which are  
generally offered to limited groups of investors (the "Fidelity  
Funds").  Fidelity Management Trust Company ("FMTC"), a wholly- 
owned subsidiary of FMR Corp. and a bank as defined in Section  
3(a)(6) of the Securities Exchange Act of 1934, serves as trustee  
or managing agent for various private investment accounts,  
primarily employee benefit plans and serves as investment adviser  
to certain other funds which are generally offered to limited  
groups of investors (the "Accounts").  Various directly or  
indirectly held subsidiaries of FMR are also engaged in  
investment management, venture capital asset management,  
securities brokerage, transfer and shareholder servicing and real  
estate development.  The principal offices of FMR, Fidelity, and  
FMTC are located at 82 Devonshire Street, Boston, Massachusetts  
02109.  
  
	FIL is an investment adviser which provides investment  
advisory and management services to a number of non-U.S.  
investment companies or instrument trusts (the "International  
Funds") and certain institutional investors.  Prior to June 30,  
1980, FIL was a majority-owned subsidiary of Fidelity.  On that  
date, the shares of FIL held by Fidelity were distributed, as a  
dividend, to the shareholders of FMR.  FIL currently operates as  
an entity independent of FMR and Fidelity, with certain common  
shareholders.  The International Funds and FIL's other clients,  
with the exception of Fidelity and an affiliate of Fidelity, are  
non-U.S. entities.  Various foreign-based subsidiaries of FIL are  
also engaged in investment management.  The principal office of  
FIL is located at Pembroke Hall, 42 Crow Lane, Hamilton, Bermuda.  
  
	Members of the Edward C. Johnson 3d family are the  
predominant owners of Class B shares of common stock of FMR  
representing approximately 49% of the voting power of FMR.  Mr.  
Johnson 3d owns 12.0% and Abigail Johnson owns 24.5% of the  
aggregate outstanding voting stock of FMR.  Mr. Johnson 3d is the  
Chairman of FMR.  The Johnson family group and all other Class B  
shareholders have entered into a shareholders' voting agreement  
under which all Class B shares will be voted in accordance with  
the majority vote of Class B shares.  Accordingly, through their  
ownership of voting common stock and the execution of the  
shareholders' voting agreement, members of the Johnson family may  
be deemed, under the Investment Company Act of 1940, to form a  
controlling group with respect to FMR.  The business address and  
principal occupation of Mr. Johnson 3d is set forth in Schedule A  
hereto.  
  
	In addition, a partnership controlled by Mr. Johnson and  
members of his family own shares of FIL voting stock with the  
right to cast approximately 47.22% of the total votes which may  
be cast by all holders of FIL voting stock.  Mr. Johnson 3d is  
Chairman of FMR and FIL.  FMR and FIL are separate and  
independent corporate entities.  FMR and FIL are managed  
independently and their boards of Directors are generally  
composed of different individuals.  Their investment decisions  
are made independently, and clients are different organizations.   
The business address and principal occupation of Mr. Johnson 3d  
is set forth in Schedule A hereto.  
  
	The Shares to which this statement relates are owned  
directly by six of the Fidelity Funds, seventeen of the Accounts,  
and by Fidelity International Limited, through its subsidiaries  
and affiliates.  
  
	FMR and FIL are of the view that they are not acting as a  
"group" for purposes of Section 13(d) under the Securities  
Exchange Act of 1934 (the "1934 Act") and that they are not  
otherwise required to attribute to each other the "beneficial  
ownership" of securities "beneficially owned" by the other  
corporation within the meaning of Rule 13d-3 promulgated under  
the 1934 Act.  Therefore, they are of the view that the Shares  
held by the other corporations need not be aggregated for  
purposes of Section 13(d).  However, FMR is making this filing on  
a voluntary basis as if all of the Shares are beneficially owned  
by FMR and FIL on a joint basis.  
  
	The name, residence or business address, principal  
occupation or employment and citizenship of each of the executive  
officers and directors of FMR are set forth in Schedule A hereto.  
  
	Within the past five years, none of the persons named in  
this Item 2 or listed on Schedule A has been convicted in any  
criminal proceeding (excluding traffic violations or similar  
misdemeanors) or has been a party to any civil proceeding and as  
a result thereof was or is subject to any judgment, decree or  
final order enjoining future violations of, or prohibiting or  
mandating activities subject to federal or state securities laws  
or finding any violations with respect to such laws.  
  
Item 3.	Source and Amount of Funds or Other Consideration.  
  
	Item 3 is amended as follows:  
  
	The Fidelity Funds which own or owned Shares purchased in  
the aggregate 3,702,900 Shares for cash in the amount of  
approximately $79,838,552, including brokerage commissions.  The  
Fidelity Funds used their own assets in making such purchase and  
no part of the purchase price is represented by borrowed funds.   
Proceeds from 3,085,100 Shares sold aggregated approximately  
$63,743,470.  The attached Schedule B sets forth Shares purchased  
and/or sold since August 26, 1997.  
  
	The Accounts of FMTC which own or owned Shares purchased in  
the aggregate 1,694,200 Shares for cash in the amount of  
approximately $36,658,721, including brokerage commissions.  The  
Accounts used their own assets in making such purchase and no  
part of the purchase price is represented by borrowed funds.   
Proceeds from 934,500 Shares sold aggregated approximately  
$21,204,101.  The attached Schedule B sets forth Shares purchased  
and/or sold since August 26, 1997.  
  
	The International Funds and accounts, which own or owned  
Shares, purchased in the aggregate 216,700 Shares for cash in the  
amount of approximately $4,831,475, including brokerage  
commissions.  The International Funds and accounts used their own  
assets in making such purchase and no part of the purchase price  
is represented by borrowed funds.  Proceeds from 103,700 Shares  
sold aggregated approximately $2,506,187.    
  
	FASST which own or owned Shares purchased in the aggregate  
47,000 Shares for cash in the amount of approximately $1,004,213,  
including brokerage commissions.  FASST used its own assets in  
making such purchase and no part of the purchase price is  
represented by borrowed funds.  Proceeds from 47,000 Shares sold  
aggregated approximately $1,097,334.   
  
	On October 22, 1997, the Shares beneficially owned by one of  
the Accounts decreased by 8,000 Shares as a result of the event  
described in Item 5(c) below.  
  
Item 4.	Purpose of Transaction.  
  
	Item 4 is amended as follows:  
  
	The purpose of Fidelity and FMTC in having the Fidelity  
Funds and the Accounts purchase Shares (see Item 5 below) is to  
acquire an equity interest in the Company in pursuit of specified  
investment objectives established by the Board of Trustees of the  
Fidelity Funds and by the investors in the Accounts.  
  
	Fidelity and FMTC, respectively, may continue to have the  
Fidelity Funds and the Accounts purchase Shares subject to a  
number of factors, including, among others, the availability of  
Shares of sale at what they consider to be reasonable prices and  
other investment opportunities that may be available to the  
Fidelity Funds and Accounts.  
  
	Fidelity and FMTC, respectively, intend to review  
continuously the equity position of the Fidelity Funds and  
Accounts in the Company.  Depending upon future evaluations of  
the business prospects of the Company and upon other  
developments, including, but not limited to, general economic and  
business conditions and money market and stock market conditions,  
Fidelity may determine to cease making additional purchases of  
Shares or to increase or decrease the equity interest in the  
Company by acquiring additional Shares, or by disposing of all or  
a portion of the Shares.  
  
	Neither Fidelity nor FMTC has any present plan or proposal  
which relates to or would result in (i) an extraordinary  
corporate transaction, such as a merger, reorganization,  
liquidation, or sale of transfer of a material amount of assets  
involving the Company or any of its subsidiaries, (ii) any change  
in the Company's present Board of Directors or management, (iii)  
any material changes in the Company's present capitalization or  
dividend policy or any other material change in the Company's  
business or corporate structure, (iv) any change in the Company's  
charter or by-laws, or (v) the Company's common stock becoming  
eligible for termination of its registration pursuant to Section  
12(g)(4) of the 1934 Act.  
  
Item 5.	Interest in Securities of Issuer.  
  
	Item 5 is amended as follows:  
  
	Although Item 5 assumes that FMR, Fidelity, FMTC, and FIL  
beneficially own all 1,482,500 Shares, reference is made to Item  
2 for a disclaimer of beneficial ownership with respect to the  
securities which are "beneficially owned" by the other  
corporations.  
  
	(a)	FMR beneficially owns, through Fidelity, as investment  
advisor to the Fidelity Funds, 617,800 Shares, or approximately  
4.24% of the outstanding Shares of the Company, and through FMTC,  
the managing agent for the Accounts, 751,700 Shares, or  
approximately 5.16% of the outstanding Shares of the Company.   
FIL beneficially owns, as investment advisor to the International  
Funds, 113,000 Shares, or approximately 0.78% of the outstanding  
Shares of the Company.  Neither FMR, Fidelity, FMTC, nor any of  
its affiliates nor, to the best knowledge of FMR, any of the  
persons named in Schedule A hereto, beneficially owns any other  
Shares.  The combined holdings of FMR, Fidelity, FMTC, and FIL  
are 1,482,500 Shares, or approximately 10.17% of the outstanding  
Shares of the Company.  
  
	(b)	FMR, through is control of Fidelity, investment advisor  
to the Fidelity Funds, and the Funds each has sole power to  
dispose of the Shares.  Neither FMR nor Mr. Johnson has the sole  
power to vote or direct the voting of the 617,800 Shares owned  
directly by the Fidelity Funds, which power resides with the  
Funds' Boards of Trustees.  Fidelity carries out the voting of  
the Shares under written guidelines established by the Funds'  
Board of Trustees.  FMR, through its control of FMTC, investment  
manager to the Accounts, and the Accounts each has sole  
dispositive power over 751,700 Shares and sole power to vote or  
to direct the voting of 751,700 Shares, and no power to vote or  
to direct the voting of 0 Shares owned by the Accounts.    
  
	(c)	On October 22, 1997, the Shares beneficially owned by  
one of the Accounts decreased by 8,000 Shares as a result of a  
transfer out of shares.  Except as set forth in Schedule B,  
neither FMR, or any of its affiliates, nor, to the best knowledge  
of FMR, any of the persons named in Schedule A hereto has  
effected any transaction in Shares during the past sixty (60)  
days.  
  
Item 6.	Contract, Arrangements, Understandings or Relationships  
With Respect to Securities of the Issuer.  
  
	Neither FMR nor any of its affiliates nor, to the best  
knowledge of FMR, any of the persons named in Schedule A hereto  
has any joint venture, finder's fee, or other contract or  
arrangement with any person with respect to any securities of the  
Company.  
  
	The Funds and Accounts may from time to time own debt  
securities issued by the Company or its direct or indirect  
subsidiaries, and may from time to time purchase and/or sell such  
debt securities.  
  
Item 7.	Material to be Filed as Exhibits.  
  
	Not Applicable.  
  
	This statement speaks as of its date, and no inference  
should be drawn that no change has occurred in the facts set  
forth herein after the date hereof.  
  
Signature  
  
	After reasonable inquiry and to the best of my knowledge and  
belief, I certify that the information set forth in this  
statement is true, complete and correct.  
  
						FMR Corp.  
  
  
  
DATE:	October 29, 1997	By:	/s/Arthur  
Loring			  
	Arthur Loring  
	Vice President-Legal  
  
  
 
 
SCHEDULE A  
  
	The name and present principal occupation or employment of  
each executive officer and director of FMR Corp. are set forth  
below.  The business address of each person is 82 Devonshire  
Street, Boston, Massachusetts 02109, and the address of the  
corporation or organization in which such employment is conducted  
is the same as his business address.  All of the persons listed  
below are U.S. citizens.  
  
POSITION WITH  
									PRINCIPAL  
NAME	FMR CORP.	OCCUPATION  
  
Edward C. Johnson 3d	President, 
	Chairman of the  
Director, CEO	Board and CEO, FMR  
Corp.  
Chairman &  
Mng. Director  
  
J. Gary Burkhead	Director and Vice Chairman	President,  
Fidelity Investments  
		Institutional  
Services   
		Company, Inc.  
  
James C. Curvey	Director, Vice Chairman,	Chief Operating  
Officer, FMR  
	Chief Operating Officer  
  
William L. Byrnes	Director & Mng.	Vice Chairman, FIL  
Director  
  
Abigail P. Johnson	Director	Associate Director  
and Senior Vice 		President - Fidelity  
Management & 		Research Company  
  
George A. Vanderheiden	Director	Senior  
Vice President,  
		Fidelity Management  
& Research 			Company  
  
David C. Weinstein	Sr. Vice President	Sr. Vice President  
Administration	Administration, FMR  
Corp.  
  
  
Mark A. Peterson	Executive Vice President	President - Fidelity  
Investments 			Technology &  
Processing Group  
  
Gerald M. Lieberman	Sr. Vice Pres. - 	Sr. Vice Pres. -  
Chief Financial	Chief Financial   
Officer	Officer, FMR Corp.  
  
 
 
SCHEDULE B  
  
  
Alaska Air Group Incorporated  
  
Five Fidelity Fund(s) purchased Shares since August 26, 1997 at  
the dates and at the prices set forth below.  The transactions  
were made for cash in open market transactions or with other  
investment companies with the same or an affiliated investment  
advisor.  
  
	DATE	SHARES	PRICE  
	09/03/97	1,800	$27.63  
	09/05/97	25,000	28.49  
	09/08/97	25,000	29.65  
	09/10/97	9,000	29.94  
	09/12/97	3,100	31.03  
	09/16/97	10,000	30.75  
	09/17/97	33,500	30.56  
	09/24/97	56,300	31.38  
	10/07/97	30,000	31.25  
	10/09/97	50,000	31.87  
	10/10/97	3,000	31.81  
	10/20/97	17,700	32.45  
	10/21/97	57,300	32.56  
	10/24/97	50,000	34.74  
  
  
 
 
SCHEDULE B  
  
  
Alaska Air Group Incorporated  
  
Three Fidelity Fund(s) sold Shares since August 26, 1997 at the  
dates and at the prices set forth below.  The transactions were  
made for cash in open market transactions or with other  
investment companies with the same or an affiliated investment  
advisor.  
  
	DATE	SHARES	PRICE  
	09/15/97	300	$30.31  
	09/23/97	15,000	30.95  
	10/08/97	3,200	31.23  
	10/20/97	57,300	32.56  
  
  
 
 
SCHEDULE B  
  
  
Alaska Air Group Incorporated  
  
One Account(s) sold Shares since August 26, 1997 at the dates and  
at the prices set forth below.  The transactions were made for  
cash in open market transactions or with other investment  
companies with the same or an affiliated investment advisor.  
  
	DATE	SHARES	PRICE  
	09/24/97	1,700	$31.69