<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-10-31</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000848865</issuerCik><issuerName>ALLIED WASTE INDUSTRIES INC</issuerName>        <issuerTradingSymbol>AW</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001245142</rptOwnerCik><rptOwnerName>SLAGER DONALD W</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>C/O ALLIED WASTE INDUSTRIES, INC.</rptOwnerStreet1><rptOwnerStreet2>15880 N. GREENWAY-HAYDEN LOOP, STE. 100</rptOwnerStreet2><rptOwnerCity>SCOTTSDALE</rptOwnerCity><rptOwnerState>AZ</rptOwnerState><rptOwnerZipCode>85260</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>1</isOther><officerTitle>Executive Vice President</officerTitle><otherText>COO</otherText></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock, $.01 par value</value></securityTitle><transactionDate><value>2003-10-31</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>4767</value></transactionShares><transactionPricePerShare><value>5.25</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>346067</value><footnoteId id="F1" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Common Stock, $.01 par value</value></securityTitle><transactionDate><value>2003-10-31</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>167</value></transactionShares><transactionPricePerShare><value>11.36</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>345900</value><footnoteId id="F1" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Common Stock, $.01 par value</value></securityTitle><transactionDate><value>2003-10-31</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>4600</value></transactionShares><transactionPricePerShare><value>11.35</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>341300</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>2003-10-31</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>4767</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>1996-02-07</value><footnoteId id="F2" /></exerciseDate><expirationDate><value>2004-02-07</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>4767</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Includes 340,000 shares of performance restricted stock granted pursuant to the Allied Waste Industries, Inc. Amended and Restated 1991 Incentive Stock Plan.</footnote><footnote id="F2">This 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>Donald W. Slager</signatureName><signatureDate>2003-11-03</signatureDate></ownerSignature></ownershipDocument>

