<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-19</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000848865</issuerCik><issuerName>ALLIED WASTE INDUSTRIES INC</issuerName>        <issuerTradingSymbol>AW</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001242021</rptOwnerCik><rptOwnerName>VAN WEELDEN THOMAS H</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>C/O ALLIED WASTE INDUSTRIES, INC.</rptOwnerStreet1><rptOwnerStreet2>15880 N. GREENWAY-HAYDEN LOOP, SUITE 100</rptOwnerStreet2><rptOwnerCity>SCOTTSDALE</rptOwnerCity><rptOwnerState>AZ</rptOwnerState><rptOwnerZipCode>85260</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Chairman, CEO &amp; President</officerTitle></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock, $.01 par value</value></securityTitle><transactionDate><value>2003-09-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>125000</value></transactionShares><transactionPricePerShare><value>5.25</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2397629</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Common Stock, $.01 par value</value></securityTitle><transactionDate><value>2003-09-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>40000</value></transactionShares><transactionPricePerShare><value>5.25</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2437629</value><footnoteId id="F1" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><derivativeTable><derivativeTransaction><securityTitle><value>Employee Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>5.25</value></conversionOrExercisePrice><transactionDate><value>2003-09-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>125000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F2" /></exerciseDate><expirationDate><value>2003-10-01</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>125000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction><derivativeTransaction><securityTitle><value>Employee Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>5.25</value></conversionOrExercisePrice><transactionDate><value>2003-09-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>40000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F3" /></exerciseDate><expirationDate><value>2004-02-07</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>40000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Includes 1,600,000 shares of Performance Restricted Stock granted pursuant to the Allied Waste Industries, Inc. Amended and Restated 1991 Incentive Stock Plan, and includes 807,069 shares of Common Stock beneficially owned by the Reporting Person and 30,560 shares gifted to children who share household. </footnote><footnote id="F2">The Option vested in 3 equal installments and was 100% vested on October 1, 1995.  THIS OPTION EXPIRES ON OCTOBER 1, 2003.</footnote><footnote id="F3">The Option vested in 3 equal installments and was 100% vested on February 7, 1996.  THIS OPTION EXPIRES ON FEBRUARY 7, 2004.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>T. H. Van Weelden</signatureName><signatureDate>2003-09-19</signatureDate></ownerSignature></ownershipDocument>

