1. Field of the Invention
The present invention relates generally to congestion control during data transfer and, more particularly, to systems and methods for dropping data using a drop profile.
2. Description of Related Art
Conventional network devices, such as routers, relay streams of data through a network from a source to a destination. Typically, the network devices include one or more memory subsystems to temporarily buffer data while the network devices perform network-related functions, such as route processing or accounting.
A data stream may be considered a pipe of data packets belonging to a communication between a particular source and a particular destination. A network device may assign a variable number of queues (e.g., where a queue may be considered a logical first-in, first-out (FIFO) buffer) to a data stream. For a stream with n queues, the relationship of queues and streams may be represented by:
A problem that may arise in the use of queues is that congestion occurs if data builds up too quickly in the queues (i.e., data is enqueued at a faster rate than it is dequeued). Network devices typically address this problem by notifying sources of the packets of the congestion. This notification sometimes takes the form of dropping more recent packets received from the sources. It is sometimes a difficult and time-consuming process, however, to decide whether to drop a packet from a queue.
Therefore, there is a need for efficient mechanisms for determining whether to drop data from a queue.
Systems and method consistent with the principles of the invention address this and other needs by using a drop profile to determine whether to drop data from a queue. The drop profile may differ for different data streams and possibly for different data in the same data stream.
In accordance with the principles of the invention as embodied and broadly described herein, a system selectively drops data from queues. The system includes a drop table that stores drop probabilities. The system selects one of the queues to examine and generates an index into the drop table to identify one of the drop probabilities for the examined queue. The system then determines whether to drop data from the examined queue based on the identified drop probability.
In another implementation consistent with the principles of the invention, a network device includes groups of queues and drop engines corresponding to the queue groups. Each of the queue groups corresponds to a data stream. Each of the drop engines selects one of the queues to examine, identifies a drop probability for data in the selected queue, and determines whether to drop data from the selected queue based on the identified drop probability.
In yet another implementation consistent with the principles of the invention, a method for selectively dropping data from queues that temporarily store data includes selecting one of the queues to examine; identifying a drop probability for data in the examined queue; comparing the drop probability to a random number; and determining whether to drop the data from the examined queue based on a result of the comparison.
In a further implementation consistent with the principles of the invention, a system selectively drops data from queues. The system includes queues that temporarily store data and a drop engine. The drop engine selects one of the queues to examine, determines a static amount of memory allocated to the selected queue, determines an amount of memory used by the selected queue, identifies a drop probability for data in the selected queue based on the static amount of memory allocated to the selected queue and the amount of memory used by the selected queue, and determines whether to drop the data from the selected queue based on the identified drop probability.
In another implementation consistent with the principles of the invention, a drop engine selectively drops data from multiple queues. The drop engine includes drop tables, indexing logic, and drop decision logic. Each of the drop tables is configured to store multiple drop probabilities. The indexing logic is configured to select one of the drop tables and generate an index into the selected drop table to identify one of the drop probabilities. The drop decision logic is configured to determine whether to drop data from one of the queues based on the identified drop probability.
In a further implementation consistent with the principles of the invention, a drop engine selectively drops data from multiple queues. The drop engine includes a drop table, indexing logic, and drop decision logic. The drop table is configured to store multiple drop probabilities. The indexing logic is configured to generate an index into the drop table to identify one of the drop probabilities. The drop decision logic includes a random number generator, a comparator, and a logic operator. The random number generator is configured to generate a random number. The comparator is configured to compare the identified drop probability to the random number. The logic operator is configured to perform a logical operation on a result of the comparison and a signal that indicates whether the identified drop probability is greater than zero and output, based on the logical operation, a decision signal that indicates whether to drop data from one of the queues.
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and, together with the description, explain the invention. In the drawings,
The following detailed description of the invention refers to the accompanying drawings. The same reference numbers in different drawings may identify the same or similar elements. Also, the following detailed description does not limit the invention. Instead, the scope of the invention is defined by the appended claims and equivalents of the recited claim limitations.
Systems and methods consistent with the principles of the invention use one or more drop profiles, or drop tables, in determining the probability of dropping data from a queue. The drop probability may then be further processed to make the ultimate drop decision. Such mechanisms provide efficient data dropping compared to conventional mechanisms.
Router 100 may include a routing engine (RE) 110 and multiple packet forwarding engines (PFEs) 120 interconnected via a switch fabric 130. Switch fabric 130 may include one or more switching planes to facilitate communication between two or more of PFEs 120. In an implementation consistent with the principles of the invention, each of the switching planes includes a single or multi-stage switch of crossbar elements.
RE 110 performs high level management functions for router 100. For example, RE 110 communicates with other networks and systems connected to router 100 to exchange information regarding network topology. RE 110 creates routing tables based on network topology information, creates forwarding tables based on the routing tables, and sends the forwarding tables to PFEs 120. PFEs 120 use the forwarding tables to perform route lookup for incoming packets. RE 110 also performs other general control and monitoring functions for router 100.
Each of PFEs 120 connects to RE 110 and switch fabric 130. PFEs 120 receive packets on physical links connected to a network, such as a wide area network (WAN), a local area network (LAN), etc. Each physical link could be one of many types of transport media, such as optical fiber or Ethernet cable. The packets on the physical link are formatted according to one of several protocols, such as the synchronous optical network (SONET) standard or Ethernet.
Packet processor 210 connects to one or more physical links. Packet processor 210 may process packets received from the incoming physical links and prepare packets for transmission on the outgoing physical links. For example, packet processor 210 may perform route lookup based on packet header information to determine destination information for the packets. For packets received from the links, packet processor 210 may store data in memory system 230. For packets to be transmitted on the links, packet processor 210 may read data from memory system 230.
Packet processor 220 connects to switch fabric 130. Packet processor 220 may process packets received from switch fabric 130 and prepare packets for transmission to switch fabric 130. For packets received from switch fabric 130, packet processor 220 may store data in memory system 230. For packets to be transmitted to switch fabric 130, packet processor 220 may read data from memory system 230.
Packet processors 210 and 220 may store packet data and other packet information, such as control and/or address information, within separate portions of memory system 230.
Packet information memory system 320 may concurrently store packet information corresponding to multiple, independent packet streams. In an implementation consistent with the principles of the invention, memory system 320 may contain separate queues 410, dequeue engines 420, and queue control engines 430 corresponding to each of the packet streams. In other implementations, dequeue engine 420 and queue control engine 430 may correspond to multiple streams.
Queues 410 may include a group of first-in, first-out (FIFO) buffers that corresponds to a single stream. Other queues (not shown) may be provided for other packet streams. Queues 410 share the bandwidth of a single packet stream. In one implementation, each of queues 410 is allocated a static amount of packet information memory system 320 at configuration time. The amount of packet information memory system 320 allocated to a particular queue may be determined based on factors, such as the round trip time (Rtt), delay, and bandwidth associated with the stream, that minimize the chance that the queue will overflow.
Each of queues 410 may have three parameters associated with it: a weight between 0 and 1, a priority PR parameter that is either HI or LO, and a rate-control RC parameter that is either ON or OFF. A queue's weight determines the fraction of the stream's bandwidth B that is statically allocated to the queue. For a queue with weight w, the statically allocated bandwidth sba is equal to w*B. The sum of the weights of the queues (e.g., queues 410) for a stream equal one. In other words, the entire bandwidth of a stream is allocated to the queues associated with that stream.
The PR parameter specifies which of two priority levels (HI or LO) is associated with a queue. In other implementations, there may be more than two priority levels. Queues 410 associated with a HI priority may be serviced before queues 410 associated with a LO priority. Queues 410 at the same priority level may, for example, be serviced in a round robin manner.
The RC parameter determines whether a queue is allowed to oversubscribe (i.e., output more packet information than its statically allocated bandwidth). If RC is OFF, then the queue is permitted to send up to the stream bandwidth B (the total bandwidth for the stream). If RC is ON, then the queue is rate controlled and not permitted to send more than its statically allocated bandwidth sba.
Each of queues 410 is allocated a particular portion of data memory system 310 that stores packet data corresponding to the packet information stored by the queue. The size of the portion of data memory system 310 allocated to a particular queue (referred to as the static memory allocated sma) may be determined based on the stream's static bandwidth. For example, the sma may be defined as the round trip time (Rtt) multiplied by the statically allocated bandwidth sba. The statically allocated bandwidth sba was defined above. In another implementation, the sma may also take into account the speed of the stream.
The bandwidth allocated to a stream is fixed at B even though different queues within the stream may have dynamically changing bandwidth utilization, as will be described below. The stream itself never needs more than Rtt (round trip time, which is defined as the maximum time allowed for a packet to travel from the source to the destination and send an acknowledgement back)*B of data memory system 310. This amount of data memory system 310 may be denoted by MA.
A delay bandwidth buffer is an amount of packet information memory system 320 equal to the network round trip time (Rtt) multiplied by the sum of the bandwidths of the output interfaces. An efficient way to allocate the delay bandwidth buffer is to share it dynamically among queues across all output interfaces.
Dequeue engine 420 may include logic that dequeues packet information from queues 410. The order in which the streams are examined by dequeue engine 420 is referred to as the service discipline. For example, the service discipline may include round robin or time division multiplexing techniques. For each examination of a stream, dequeue engine 420 may select one of queues 410 and dequeue packet information from it. To select the queue, dequeue engine 420 may use the queue parameters w, PR, and RC. For each dequeue operation, the corresponding packet data in data memory system 310 may be read out and processed.
Queue control engine 430 may dynamically control the amount of data memory system 310 used by each queue. Since the total bandwidth for the stream is B, queue control engine 430 effectively controls the total amount of data memory system 310 used by queues 410 in a stream so that it does not exceed MA. The memory is allocated at the time the packet is received and reclaimed either by a drop process if the queue has exceeded its allocation (static and dynamic) or by a dequeue process when the packet is transmitted on a link.
Control logic 640 may include logic that coordinates or facilitates the operation of the components of oversubscription engine 510. For example, control logic 640 may perform calculations, write or read data to or from the RAMs, or simply pass information between components of oversubscription engine 510.
Bandwidth used RAM 610 may include multiple entries, such as one entry per queue. Each of the entries may store a variable that represents the instantaneous amount of bandwidth used (bs) by the queue during a time interval (Ta). When packet information is dequeued by dequeue engine 420 during the time interval Ta, the bs value may be incremented by the length of the corresponding packet. The bs value may be reset at periodic times identified by timer 630, such as the beginning or end of a time interval.
Average bandwidth used RAM 620 may include multiple entries, such as one entry per queue. Each of the entries may store data that represents a time-averaged measurement of the bandwidth used by the queue (bu) as computed during the time interval Ta. For example, the time-averaged measurement may be determined using an exponential weighted averaging with a decay coefficient chosen to make the computation as efficient as possible (e.g., two adds and a shift per time step). The weights in such an exponential weighted averaging function may be programmable.
bu[i]=bu[i−1]+2−n(bs[i]−bu[i−1])
bu[i]=bu[i−1]*(1−2−n)+bs[i]*2−n
Substituting r=(1−2−n), the equation becomes:
As can be seen, the bandwidth used by a queue is a function of the bandwidth used by the queue in all the previous time intervals.
The final equation is an exponential weighted average with coefficient r. To get an idea of how many steps k it takes for the coefficients rk to become “small,” the following binomial expansion may be used:
(1−2−n)k˜1−k*2−n
as long as k*2−n is much less than 1. This means that as long as k is significantly less than 2n, the terms are taken into account almost fully, but as k approaches 2n, rk will start to drop off rapidly and so the terms become less and less significant.
Returning to
Control logic 640 may reallocate bandwidth to permit oversubscription based on the bandwidth actually used by queues 410. For example, control logic 640 may determine the average bandwidth bu used by each of queues 410 and reallocate bandwidth to certain ones of queues 410 if the queues permit oversubscription based on the RC parameter associated with the queues.
Processing may begin with control logic 640 determining the instantaneous bandwidth bs used by queues 410 (act 810). To make this determination, control logic 640 may read bs values, corresponding to queues 410, from bandwidth used RAM 610. As described above, the bs value for a queue may be calculated based on the length of the packet(s) corresponding to the packet information dequeued by the queue during a time interval.
Control logic 640 may use the bs values and the bu values from the previous time interval to determine the average bandwidth bu used by queues 410 during the current time interval (act 820). To make this determination, control logic 640 may take a time-averaged measurement of the bandwidth used by performing an exponential weighted averaging with a decay coefficient chosen to make the computation as efficient as possible (e.g., two adds and a shift per time step). A method for determining the average bandwidth bu has been described above.
Control logic 640 may use the average bandwidth bu to reallocate bandwidth to queues 410 (act 830). For example, control logic 640 may identify which of queues 410 permit oversubscription based on the RC parameters associated with queues 410. If the average bandwidth bu used by a queue is less than its statically allocated bandwidth, the unused portion of the bandwidth may be divided among the queues that are permitted to oversubscribe and need extra bandwidth. Any queue that is not permitted to oversubscribe cannot use any of the unused bandwidth.
Assume further that RC is OFF for Q0-Q2 and ON for Q3. Therefore, Q0-Q2 are permitted to oversubscribe and Q3 is rate controlled and not permitted to oversubscribe. Assume that Q0 uses almost none of the bandwidth allocated to it. In this case, Q1 and Q2 may share the bandwidth unused by Q0. Accordingly, 0% of the bandwidth B is used by Q0, 45% is dynamically reallocated to each of Q1 and Q2, and 10% remains allocated to Q3.
Assume at some later point in time that control logic 640 determines that traffic on Q0 increases based on the average bandwidth bu used by Q0, such that Q0 requires 40% of the bandwidth B. In this case, Q0 reclaims some of its bandwidth from Q1 and Q2. Since Q0 needs 40% of the bandwidth B, the remaining 30% unused by Q0 is divided between Q1 and Q2. Therefore, 40% of the bandwidth B is dynamically reallocated to Q0, 25% is dynamically reallocated to each of Q1 and Q2, and 10% remains allocated to Q3.
As can be seen from the foregoing, the bandwidth allocated to queues 410 in a given time interval is related to both the queues' statically allocated bandwidth and the bandwidth used by the queues. This dynamic allocation process may be summarized as: (1) allocating the available bandwidth in proportion to the queues' statically allocated bandwidth; and (2) distributing the excess bandwidth among active queues in proportion to their excess bandwidths used in previous time intervals.
Drop engine 520 may include RED logic that controls the amount of data memory system 310 used by queues 410 such that the average latency through queues 410 remains small even in the presence of congestion. The drop process is profiled in the sense that the probability of a packet information drop is not fixed, but is a user-specifiable function of how congested a queue is. Generally, the drop process may make its drop decision based on the ratio between the current queue length and the maximum permissible queue length.
Drop engine 520 makes its drop decision based on the state of queues 410, not on the state of the stream. Drop engine 520 may operate in a round robin fashion on all of the active queues. By design, it has a higher probability of examining more active queues rather than inactive queues to keep up with the data rate of a quickly-filling queue.
The drop decision is made at the head of queues 410 rather than at the tail, as in conventional systems. A benefit of dropping at the head of queues 410 is that congestion is signaled earlier to traffic sources, thereby providing tighter latency control. By comparison, a tail drop can result in the congestion signal being delayed by as much as Rtt compared to a head drop because a more recent packet is being dropped whose response time-out will expire later. Also, if queues 410 are allowed to oversubscribe and use more memory than allocated to them, then head drop provides a way to cut back excess memory use when a queue's bandwidth suddenly drops because a previously inactive queue has started to use its share of the bandwidth again.
Control logic 1070 may include logic that coordinates or facilitates the operation of the components of drop engine 520. For example, control logic 1070 may perform calculations, write or read to or from the RAMs, or simply pass information between components of drop engine 520.
Static memory allocated RAM 1010 may include multiple entries, such as one entry per queue. Each of the entries may store the variable sma, corresponding to the queue, that identifies the amount of data memory system 310 that should be made available to the queue (in the case where it is not allowed to oversubscribe due to RC being set or all of the other queues using their allocated bandwidth and, thereby, sparing no unused bandwidth). As defined above, sma is defined as the round trip time Rtt multiplied by the statically allocated bandwidth sba.
Memory used RAM 1020 may include multiple entries, such as one entry per queue. Each of the entries may store a variable mu that represents the amount of data memory system 310 actually being used by the queue. Storage space within data memory system 310 may be allocated dynamically at the time a packet is received and reclaimed at some time after the packet is transmitted by router 100. The variable mu, which counts bytes or cells (e.g., 64 byte data blocks) of data, may be used to track the amount of data memory system 310 used by the queue. When packet information is enqueued, the mu value may be incremented by the length of the corresponding packet. When packet information is dequeued by dequeue engine 420 or dropped by drop engine 430, the mu value may be decremented by the length of the corresponding packet.
PRV RAM 1030 may include multiple entries, such as one entry per queue. Each of the entries may store a variable pry that controls how many times the queue will be examined by drop engine 430. When packet information is enqueued, the prv value may be incremented by one. When packet information is dequeued by dequeue engine 420 or an examination of the queue by drop engine 430 occurs, the pry value may be decremented by one, if the prv value is greater than zero. The goal is to allow drop engine 430 to visit each packet at the head of the queue just once. A queue visited once may not be visited again unless the packet just visited got dropped or the packet gets dequeued by dequeue engine 420.
Indexing logic 1040 may include logic for creating an index into drop profile 1050. Drop profile 1050 may include a memory that includes multiple addressable entries. Each of the entries may store a value that indicates the probability of a drop. For example, assume that drop profile 1050 includes 64 entries that are addressable by a six bit address (or index). In an implementation consistent with the principles of the invention, each of the entries includes an eight bit number representing a drop probability. The drop probability may always be greater than or equal to zero.
The relationship of drop probability to index may be expressed as a monotonically non-decreasing function.
probability of drop=(entry value)/256.
Returning to
index=(mu/MAX)*64,
where MAX is the maximum of the values of sma (static memory allocated) and dma (dynamic memory allocated, which is the amount of data memory system 310 that should be made available to a particular queue and is defined as the average bandwidth used bu*(Rtt/Ta)). This may be considered a dynamic index because its value may change based on changes to the variable dma. In an alternate implementation, indexing logic 1040 may generate a static index using, for example, the expression:
index=(mu/sma)*64.
This may be considered a static index because the value of sma will not change. According to an implementation consistent with the principles of the invention, the index generated is a six bit value. In other implementations, other size indexes are possible.
If the situation occurs where mu becomes greater than MAX, then the ratio of mu/MAX results in a value larger than one. When this happens, the index may contain a value that points to somewhere outside drop profile 1050. In this case, drop decision logic 1060 may consider this a must drop situation and drop the packet unless the packet contains an attribute, such as a keep alive attribute, that indicates that the packet should not be dropped.
In some situations, an index threshold may be used. As shown in
In another implementation consistent with the principles of the invention, packet attributes, such as the packet's Transmission Control Protocol (TCP) and/or Packet Level Protocol (PLP), may be used in conjunction with the index as an address into drop profile 1050. In this case, drop profile 1050 may include multiple profile tables, each having multiple addressable entries. The packet attributes may be used to select among the profile tables. For example, two bits representing the TCP and PLP of a packet may be used to select among four different profile tables in drop profile 1050. The index may then be used to identify an entry within the selected table. In this way, a certain set of attributes extracted from the packets may be used to perform an intelligent drop.
Drop decision logic 1060 may include logic that makes the ultimate drop decision based on the drop probability in drop profile 1050 or other factors as described above. In other words, drop decision logic 1060 translates the drop probability into a drop decision for the packet information examined by drop engine 520.
Random number generator 1210 may implement functions as represented by the following:
to generate the random number.
Comparator 1220 may compare the random number from random number generator 1210 to the drop probability value from drop profile 1050. AND gate 1230 may perform a logical AND operation on the result of the comparison and a “DO NOT DROP” signal, which may be generated based on the presence or absence of an attribute, such as a keep alive attribute, that may be extracted from the packet. In an implementation consistent with the principles of the invention, comparator 1220 and AND gate 1230 may be designed to output a drop decision to: (1) drop the packet information if the random number is less than the drop probability value and the DO NOT DROP signal indicates that the packet information may be dropped; (2) not drop the packet information if the random number is less than the drop probability value and the DO NOT DROP signal indicates that the packet information should not be dropped; and (3) not drop the packet information if the random number is not less than the drop probability value regardless of the value of the DO NOT DROP signal.
Optionally, drop engine 520 may select a stream to examine (act 1305) (
Once a stream has been selected, if necessary, drop engine 520 may select a queue to examine based on, for example, the queues' prv values (act 1310). The drop engine 520 may use round robin arbitration to select the next queue with a prv value greater than zero.
Alternatively, drop engine 520 may construct two bit vectors (HIVec and LOVec) and perform a round robin over these vectors to select the next queue to examine. The HIVec and LOVec vectors may be defined as follows:
where X is an integer, such as 16. This conserves drop engine 520 examinations of a queue when mu is small compared to MAX and forces drop engine 520 examinations when mu exceeds MAX. When mu is very small compared to MAX/X, the drop probability will be small. Keeping LOVec reset allows drop engine 520 to visit other more active queues.
Returning to
If an index threshold (T/H) is used, drop engine 520 may compare mu/MAX to the threshold to determine whether mu/MAX is less than or equal to the threshold (act 1325). If mu/MAX is less than or equal to the threshold, drop engine 520 may mark the packet as not to be dropped (act 1330). Marking may be done by simply setting a bit associated with the packet or by not dropping packet information from the queue.
If mu/MAX is greater than the threshold, drop engine 520 may determine whether mu/MAX is greater than or equal to one (act 1335). If so, then drop engine 520 may determine whether the packet includes a packet attribute, such as a keep alive attribute, that indicates that it is not to be dropped (act 1340). The presence or absence of this packet attribute may be used to generate the DO NOT DROP signal. If the DO NOT DROP signal indicates that the packet should not be dropped, then drop engine 520 may mark the packet as not to be dropped (act 1345). Otherwise, drop engine 520 may mark the packet for dropping (act 1350).
If mu/MAX is less than one, however, drop engine 520 may use the index to access drop profile 1050 and obtain a drop probability (act 1355) (
Drop engine 520 may determine a drop decision by comparing the drop probability value to a random number (acts 1360 and 1365). The random number may be generated by random number generator 1210. If the random number is less than the drop probability value, drop engine 520 may determine whether the packet includes a packet attribute, such as a keep alive attribute, that indicates that it is not to be dropped (act 1370). The presence or absence of this packet attribute may be used to generate the DO NOT DROP signal.
If the random number is less than the drop probability value and the DO NOT DROP signal indicates that the packet may be dropped, then drop engine 520 may mark the packet for dropping (act 1375). If the DO NOT DROP signal, in this case, indicates that the packet is not to be dropped, then drop engine 520 may mark the packet as not to be dropped (act 1380). If the random number is not less than the drop probability value, regardless of the value of the DO NOT DROP signal, then drop engine 520 may mark the packet as not to be dropped (act 1380). Marking may be done by simply setting a bit associated with the packet or by dropping or not dropping packet information from the queue.
In response to a decision to drop, drop engine 520 may remove the associated packet information from the queue. Alternatively, the queue may discard the packet information itself when instructed by drop engine 520.
Systems and methods, consistent with the principles of the invention, efficiently determine whether to drop data from a queue. The drop decision may be based on one or more drop profiles that indicate the probability that the data will be dropped. The drop probability may be further processed to generate the ultimate drop decision.
The foregoing description of preferred embodiments of the present invention provides illustration and description, but is not intended to be exhaustive or to limit the invention to the precise form disclosed. Modifications and variations are possible in light of the above teachings or may be acquired from practice of the invention. For example, dequeue engine 420 and queue control engine 430 have been described as separate components. In other implementations consistent with the principles of the invention, the engines may be integrated into a single engine that both dequeues and drops packet information.
Also, while some memory elements have been described as RAMs, other types of memory devices may be used in other implementations consistent with the principles of the invention.
Certain portions of the invention have been described as “logic” that performs one or more functions. This logic may include hardware, such as an application specific integrated circuit or a field programmable gate array, software, or a combination of hardware and software.
No element, act, or instruction used in the description of the present application should be construed as critical or essential to the invention unless explicitly described as such. Also, as used herein, the article “a” is intended to include one or more items. Where only one item is intended, the term “one” or similar language is used. The scope of the invention is defined by the claims and their equivalents.
This application is a continuation of U.S. patent application Ser. No. 12/780,607, filed May 14, 2010 (now U.S. Pat. No. 8,335,158), which is a continuation of U.S. patent application Ser. No. 11/853,190, filed Sep. 11, 2007 (now U.S. Pat. No. 7,746,776), which is a continuation of U.S. patent application Ser. No. 10/207,002, filed Jul. 30, 2002 (now U.S. Pat. No. 7,283,470), which claims priority under 35 U.S.C. §119 based on U.S. Provisional Application No. 60/350,985, filed Jan. 25, 2002, the disclosures of which are incorporated herein by reference.
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Number | Date | Country | |
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20130128734 A1 | May 2013 | US |
Number | Date | Country | |
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60350985 | Jan 2002 | US |
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Parent | 12780607 | May 2010 | US |
Child | 13717060 | US | |
Parent | 11853190 | Sep 2007 | US |
Child | 12780607 | US | |
Parent | 10207002 | Jul 2002 | US |
Child | 11853190 | US |