The present invention relates to planning, and more particularly to contingency based planning.
Two of the critical obstacles to wider real-world use of plans are the inability of planners to deal with incomplete information, and the slowness of planners in general and in particular, those that do deal with incomplete knowledge.
While most planners assume all information needed to generate the plan is available beforehand, this is not typically the case in realistic planning situations. The system does not know beforehand which gate a flight is going to depart from, for instance. Conditional planning constitutes a solution in those cases in which the facts needed to make a decision will become known during execution, but is not known during planning. A conditional planner generates a conditional plan that, for each alternative for the unknown facts, provides a sequence of actions. The appropriate actions are then chosen during execution based on information gathered. The conditional plan generated is a tree or a graph structure. The problems with this approach are that (1) it is computationally expensive to build these conditional plans (2) the plans can be large and therefore expensive to store and transfer (3) it is expensive to execute these large plans (4) this is not a good approach for all cases of unknown information.
One prior art planner uses a non-traditional planning algorithm in which the state of the world is completely known before the next step is computed. The prior art planners are inefficient and cannot be practically used to solve problems of the size that would be useful in the real world.
A method and apparatus for an itinerary planner is described. The itinerary planner generates itineraries for visiting locations which are personalized to the user's preferences. Unknown conditions are handled by contingency plans that the itinerary planner generates in an anytime manner. The first itineraries are derived in a short time, and as more computation time is allowed, additional itineraries that better suit the preferences of the user are obtained.
The present invention is illustrated by way of example, and not by way of limitation, in the figures of the accompanying drawings and in which like reference numerals refer to similar elements and in which:
A method and apparatus for a contingent itinerary planner is described. The planner is a fast hierarchical task network (HTN) planner that generates conditional scheduled plans in an anytime way. An anytime algorithm is one that generates better solutions as it is allowed more computational time. The planner therefore provides a fast solution, and as more time is provided it generates better solutions. HTN planning facilitates planning by decomposing the problem into sub-problems for which known solutions can be used. This hierarchical planning approach allows plan fragments to be reused, which improves efficiency.
The contingent itinerary planning solves the problems of uncertainty—the lack of knowledge at the time the plan is created—and personalization—ensuring that the plan best meets the needs of a user—in a timely manner.
The lack of knowledge and uncertainty is solved by merging contingency planning with hierarchical task network (HTN) planning and by explicitly declaring the contingencies and their possible outcomes. HTN planners have very high performance compared to other kinds of planners but have not been used to date for contingency planning. Explicitly declaring which contingencies to handle, under what circumstances to do so, and what the outcomes are to be simplifies the computations that need to be accomplished which increases the efficiency of the planner. This makes it possible for the planner to use a simpler language that has better computational properties than a more complete solution.
The planner generates a conditional plan in which each outcome of each declared contingency is considered. Each outcome generates a new branch in the plan so that there is a plan for any combination of contingencies possible according to the declarations.
Lack of knowledge and uncertainty is handled by representing these as contingencies at the point when that information is needed in the plan. The result is a conditional plan in which there are decision points corresponding to the use of the unknown or uncertain information. At those points, the user of the plan determines what the state of the world really is, and chooses the branch of the plan to execute. In this way, the plan is still useful even if it depends on information that is unknown or uncertain at the time that the plan is constructed.
The problem of Personalization is solved by choosing the activities to be included in the plan based on the preferences of the user for general classes of activities. The value of to the user of the plans generated is computed and the best plan generated so far is presented to the user. If requested by the user, the planner can compute a better plan. This solution gives the user good plans and allows the user to decide how much time to spend on optimizing the plans.
HTN (hierarchical task network) is basically a plan created from smaller sub-plans. The HTN uses primitive tasks (actions an agent can do directly), and decomposes non-primitive tasks into a set of primitive tasks, with temporal and logical constraints. HTN is useful for creating large plans from smaller components.
The user system 110 is coupled via network 120 to planner 130. The connection between user system 110 and the network 120 may be via any method, including direct connection, DSL, wireless, Bluetooth, the telephone network, or any other method of connectivity.
Planner 130 may reside on a computer system, such as a server. In one embodiment, the planner 130 may be on the same computer system as the user system 110. In another embodiment, the planner 130 may be on a remote system, accessible through a public network, such as the Internet In another embodiment, the planner 130 may be accessible through a Local Area Network, a Wide Area Network, a Virtual Private Network, or any other system.
The planner 130 is used to generate a conditional HTN-based plan, in accordance with the present invention. This plan is then sent to the user system 110. The planner 130, in one embodiment, accesses external data providers 125 to obtain data. For example, external data providers may be used to provide public information.
One exemplary use of the planner is as an itinerary planner. In that instance, the planner 130 calculates an itinerary for a user, which meets the user's preferences. In one embodiment, the planner 130 may use external data providers 125 to obtain information about locations and activities available to the user.
In one embodiment, primarily static factors, such as locations and activities are stored in database 123. These types of factors, in one embodiment, are used by planner 130. Therefore, they are stored in a database 123. In one embodiment, the database 123 is local to planner 130, alternatively, the database 123 may be a remote database, or a distributed database.
The user preferences are obtained when the user utilizes the planner 130. In one embodiment, user preference database 115 may be used to store the users' preferences. In another embodiment, user preference data may be received from the user system 110, and may not be stored by the planner 130.
The acquisition engine 210 includes a location and activity acquisition logic (LAA logic) 215. The LAA logic 215 acquires location and activity information for the planning space. For example, for itinerary planning, the LAA logic 215 acquires locations and activities of interest to tourists. For Web Service planning, the LM logic 215 acquires virtual locations (for example universal resource indicators (URIs) of various types of services, and the activities correspond to services provided by the various locations. In this context, the term “location” refers to not physical locations, but virtual locations, such as locations defined by universal resource indicators (URIs).
The dividing logic 220 divides any multi-step activities into their separate steps. For itinerary planning, multi-step activities are activities which are separated by a time (i.e. purchase of theater tickets and attending the theater). For Web Service planning, multi-step activities may include activities that require visiting two different locations (i.e. credit card validation and credit card charging.)
The timing logic 225 associates a time with each location. For example, for itinerary planning, the time it takes to do an activity. For Web Service planning, the time may be the time required to perform a service.
The location logic 230 identifies the relative location of each activity or location.
The travel time logic 235 calculates the travel time between each activity/location. In one embodiment, for the itinerary planner, the travel time logic 235 calculates the travel
The planning engine 250 includes a user interface logic 255 to receive user data. In one embodiment, the user interface is a Web based interface. In that instance, the user interface logic 255 presents the user interface on the Web, and accepts the posted data from the user.
The data received by the user interface logic 255 is passed to the plan creation logic 260. The plan creation logic 260 creates a plan that meets the user's utility requirements. If the user indicates that the presented plan does not meet his or her preferences, the plan creation logic 260 creates a new plan. The plan utility evaluation logic 265 determines that the utility of the new plan is greater than the utility of the rejected plan by a delta. In one embodiment, the delta is set by the user. In another embodiment, the user may, in rejecting a plan, indicate the particular feature that is disliked. For example, a plan may call for driving 45 minutes to a location deemed to be of high utility. The user may, in one embodiment, indicate that this is too much driving, and therefore, the utility of the location should be downgraded.
Plan export logic 270 permits the user to export the plan created by planner 130, to a mobile system. The planner 130 thereby provides a plan that the user can take with himself or herself.
The user interface 300 also includes user preferences 310. User preferences 310 indicates what weight (value) a user places on each category. An exemplary set of categories is illustrated here. The categories, for a travel planner, include: technology, shopping, entertainment, meals, food, architecture, view, neighborhood, museum, walk, music, and history. This list of categories 310 is only exemplary. A different list of categories may be used. For example, for a location which has activities centered around the Ocean, the categories may include: swimming, scuba diving, tanning, etc. In one embodiment, the set of available categories is based on the set of available activities in the area. Thus, for example, a land-locked location will not have a category such as “walking on the beach.” In one embodiment, the user may enter his or her preferences once, upon initially accessing the system, and the system may store these preferences. In another embodiment, the user preferences may be learned based on user behavior. For example, if the user always prefers plans that include “shopping” the system learns that the user has a preference for shopping. In one embodiment, the user may alter the preferences on a case-by-case basis, but the system retains the basic preferences. In that instance, in one embodiment, the user interface may display the “basic preferences” highlighted to the user, enabling the user to simply accept the “basic preferences” or make any changes desired.
The time parameters 315 indicate the starting date and time and stopping date and time for the tour. In one embodiment, time parameters include “slack for time end” which indicates how much flexibility there is in the ending time.
Location parameters 320 indicate the starting location and stopping location. In this example, the starting and stopping locations are the same. However, in another embodiment, separate starting and stopping locations may be defined. Travel trade-off indicates the user's preference for nearby attractions, compared to attractions that are further away. Maximum walkable distance indicates the distance a user is willing to walk. This determines whether the itinerary planner will suggest driving or walking, and the accessibility of certain locations.
Planner controls 325 permit the user to adjust certain parameters of the search. For example the “increase in utility” is the delta by which a new plan must be better than the old plan. The use of this delta is described in more detail below. The time to find a plan provides a stopping point for the iterations, to find a plan.
The plan information 340 is a plan tree showing the decision points the user has available, while the statistics 350 show the results for the run, and provide adjustable controls for the user, if the user wishes to iterate the plan. In another embodiment, the results page may simply include the map and locations 335 and an option to iterate the plan. In one embodiment, the user may indicate what specific feature of the plan is objected to, when requesting a plan iteration.
At block 420, data about the locations and activities available in the current selected City/County/State/Country are obtained. In one embodiment, the World Wide Web is used to research such locations and activities. In another embodiment, a preexisting list of activities and locations of interest from a single source, such as Frommer's Travel Guide, may be used.
At block 430, the process determines whether there are any multi-step activities. Multi-step activities require two or more steps separated by a time. For example, for attending the theater, the tickets may need to be ordered or picked up some hours prior to attending the performance. If there are multi-step activities, at block 440, the activity is broken up into its sub-steps, i.e. separate activities. The system, in one embodiment, keeps track of the constraints between these activities and maintains them. For example, if you have not obtained a ticket, you cannot not go to the concert, and if you have a ticket, you ought to go to the concert. In one embodiment, the activities may also have temporal constraints. If you want to pick up your developed photographs, you ought to drop off the photographs at least one hour earlier. Thus, these “separate activities” actually may retain temporal or dependency constrains.
At block 450, a time is associated with each activity. In one embodiment, the time for non-rigid activities is minimum time and typical time. For example, certain activities are rigidly timed. For example, a cable car ride from a first location to a second location is of a defined duration. However, the amount of time spent touring China Town, or shopping, varies by the individual. Therefore, in one embodiment, the system uses various sources to identify a minimum time and a typical time for the activity. In one embodiment, the user's preferences may change this time estimation. Thus, if the user indicates that he or she values shopping highly, the assumed time for a shopping activity is increased.
At block 460, categories are attached to each activity. The categories, as noted above, may be obtained from a third party provider.
At block 470, the physical location of each activity is identified. In one embodiment, GPS coordinates are used. Other coordinate systems may be used. The relevant information is the ability to calculate the distance between various locations. The “absolute location” is not relevant.
At block 480, the travel times between various activity locations are calculated. In one embodiment, travel times are calculated for various modes of travel. Thus, for example, the system calculates a distance traveled by foot, by car, or by other vehicles. In one embodiment, the system takes into account that traveling on foot or bicycle may use different paths and shortcuts than travel by car or other vehicle.
At block 490, parking is located for each location. In one embodiment, the routing agent described in co-pending application Ser. No. 10/739,543 filed concurrently herewith, entitled A Method and Apparatus for a Routing Agent, may be used. This enables the itinerary planning agent to identify certain locations that are inaccessible for certain users. For example, if the nearest parking to a site is 0.5 miles, but a user is unable to walk more than 0.3 miles, that site may not be available for the user. The process terminates at block 499.
At block 515, the minimum utility of the plan that will be selected is chosen. In one embodiment, this variable is set by the user. In another embodiment, this variable is set by the system. In one embodiment, the default value of zero is set by the system.
At block 520, the first plan having the required level of utility is constructed. This is described in more detail below with respect to
At block 525, the process determines whether another plan should be evaluated. In one embodiment, the user sets a maximum time for evaluating a good plan. In another embodiment, the first good plan is shown to the user.
At block 530, if another plan should be evaluated, the process attempts to identify a plan having a utility of Delta above the utility of the current plan. The level of Delta is set by the user, in one embodiment. In another embodiment, the system sets the level of delta. In one embodiment, the default delta is set to +1. At block 535, the process determines whether the attempt to find an improved plan has succeeded. If the plan with the improved utility is found, the process returns to block 525, to determine whether another plan should be evaluated. If the process fails, the process continues to block 550.
If, at block 525, the process determined that the current plan should be displayed to the user—because a Stop has been received, time is up, or the first good plan was selected by the user—the current plan is displayed to the user at block 540. At block 545, the process determines whether the user has requested another evaluation, i.e. the user has requested a better plan. If so, the process returns to block 530, to attempt to identify a plan with a utility of current+delta.
At block 550, the final plan is shown to the user. In one embodiment, the user may be able to download the plan to a portable device such as a laptop, telephone, GPS device, or palmtop. This enables the plan to be portable. The process then ends at block 555.
At block 565, a user value is calculated for the available activities. In one embodiment, the user value is a function of: (1) the user preference; (2) the characteristics of the activity; (3) the distance between the activity and the current location; (4) the means of transportation available. In one embodiment, user value=activity value for category*user pref for category−travel cost.
At block 570, the activity with the highest user value is selected. In one embodiment, if multiple activities with the same user value are available, one is selected at random. In another embodiment, if multiple activities with the same user value are available, the travel time is made more costly, to differentiate between the activities.
At block 575, the process determines whether there is time left, after the completion of the activity. If so, the process returns to block 565, to recalculate the user values, taking into account the ending location of the first activity, and then select the next highest value activity. In another embodiment, the activity values are not recalculated, and the process returns to block 570 to select the next activity. If there is no time left, the process continues to block 580.
At block 580, the user value for the complete plan is calculated, providing an overall value to the plan. At block 585, the process ends Note that a “better” plan is selected by varying the selection among equally highly valued items, selecting more activities, that have cumulatively higher user value, or selecting a next-best plan. Furthermore, since the ending location of an activity affects the selection of the next activity, a change percolates through the entire plan, producing a significantly different plan.
At block 620, the first item in the itinerary is displayed. In one embodiment, the items in the itinerary are primitive tasks (i.e. tasks that cannot be further broken down) are displayed. The primitive tasks, in one embodiment, include:
At block 630, the user may indicate that he or she intends to follow the itinerary plan. Since the plan created by the planner is a contingent plan, there are actions to be taken whether or not the user follows the plan. For example, a user may decide that he or she does not wish to go to China Town, even though that is the next itinerary step. In one embodiment, the user may ‘abort’ the current itinerary item at any time. In another embodiment, in a GPS enabled system—or another system which is able to identify the user's current location—the system may automatically determine whether the user is following the itinerary.
At block 640, the process determines whether the user followed the itinerary. If so, the process continues to block 650, and the primitive tasks associated with the itinerary item are displayed for the user to follow. Thus, for example, for the activity of cable car tour of San Francisco, the primitive steps may be: Drive to Civic Center Parking (including directions), Park, Walk to Cable Car Stop (including directions), Get on Cable Car at Civic Center Cable Car stop, Ride Cable Car, Get off at Folsom Street Stop.
In one embodiment, sub-steps of the itinerary may be planned using the routing engine described in co-pending application Ser. No. 10/739,543, filed concurrently herewith, entitled “A Method And Apparatus For A Routing Agent,”. For example, the route to the parking garage (step one of the itinerary) may be calculated using the routing engine, as is described in that application. In one embodiment, other sub-steps of the itinerary may be planned using errands engine described in co-pending application Ser. No. 10/739,553, filed concurrently herewith, entitled “A Method And Apparatus To Implement An Errands Engine.” For example, the errands engine may be used to create an optimal tour to fill basic needs, such as ATMs, beverages, or to explore specific attractions or activities within allotted time and money, accounting for personal preferences.
The process then continues to block 660. At block 660, the process determines whether the plan has been completed. If the plan is not yet completed, the process returns to block 620, and the next itinerary item is described. Otherwise, the process continues to block 680, and ends.
If the user indicates that he or she is not following the itinerary, at block 670, the alternative itinerary item is selected. For example, given the starting point, the original itinerary item may be “Visit China Town” and the alternative item may be “Go to Dragon Museum.” For each choice the user may make, an alternative is presented, if the user declines to follow the itinerary. The process then continues to block 620, and the alternate itinerary choice is displayed for the user.
The agent 710 includes a GeoRouter and WingfootSOAP. GeoRouter is a software component that provides a full set of tools to solve most transportation routing problems. The Wingfoot SOAP is a lightweight client implementation of SOAP (simple object protocol, an XML protocol) that is specifically targeted at the MIDP/CLDC platform. However, it can be used in J2SE and J2EE environments.
The Database 720, in one embodiment, includes mapping information. In one embodiment, the database 720 is a mySQL database. In one embodiment, the database 720 includes image files. The image files may be used for pictures of the various locations. The image files may be used to display images, photographs, videos, or maps of the locations to visit. This can be used in addition to the textual information displayed about the locations.
The application server 730 includes TomCat and a Web Application Server. Tomcat is the servlet container that is used in the official Reference Implementation for the Java Servlet and JavaServer Pages technologies.
The MDP Solver 740 includes a SPUDD, CUDD, and gSOAP. SPUDD is Stochastic Planning using Decision Diagrams, and it is one method of solving the equations used in planning. CUDD is CU Decision Diagrams, which is a package that provides functions to manipulate Binary Decision Diagrams (BDDs), Algebraic Decision Diagrams (ADDs), and Zero-suppressed Binary Decision Diagrams (ZDDs). The package provides a large set of operations on BDDs, ADDs, and ZDDs, functions to convert BDDs into ADDs or ZDDs and vice versa, and a large assortment of variable reordering methods. The gSOAP compiler tools provide a unique SOAP/XML-to-C/C++ language binding to ease the development of SOAP/XML Web services and client application in C and/or C++.
Mapinfo 750 includes routing server, mapping server, and a GeoCoder. The GeoCoder is a software application that assigns geographic coordinates to a record. Mapping server generates maps for locations identified by the GeoCoder, while Routing Server can be used to generate routes between identified locations.
C-HTN Planner 760 includes SHOP2 and CL-HTTP Server. SHOP2 is Simple Hierarchical Ordered Planner (version2). CL-HTTP Server is a Common Lisp Hypermedia Server (CL-HTTP).
The Business Process Execution Language for Web Service (BPEL4WS) 770 enables a service composer to aggregate one or more web services into a (possibly non-deterministic) execution of one or more web services.
The data processing system illustrated in
The system may further be coupled to a display device 970, such as a cathode ray tube (CRT) or a liquid crystal display (LCD) coupled to bus 915 through bus 965 for displaying information to a computer user. An alphanumeric input device 975, including alphanumeric and other keys, may also be coupled to bus 915 through bus 965 for communicating information and command selections to processor 910. An additional user input device is cursor control device 980, such as a mouse, a trackball, stylus, or cursor direction keys coupled to bus 915 through bus 965 for communicating direction information and command selections to processor 910, and for controlling cursor movement on display device 970.
Another device, which may optionally be coupled to computer system 900, is a communication device 990 for accessing other nodes of a distributed system via a network. The communication device 990 may include any of a number of commercially available networking peripheral devices such as those used for coupling to an Ethernet, token ring, Internet, or wide area network. The communication device 990 may further be a null-modem connection, a wireless connection mechanism, or any other mechanism that provides connectivity between the computer system 900 and the outside world. Note that any or all of the components of this system illustrated in
It will be appreciated by those of ordinary skill in the art that any configuration of the system may be used for various purposes according to the particular implementation. The control logic or software implementing the present invention can be stored in main memory 950, mass storage device 925, or other storage medium locally or remotely accessible to processor 910.
It will be apparent to those of ordinary skill in the art that the system, method, and process described herein can be implemented as software stored in main memory 950 or read only memory 920 and executed by processor 910. This control logic or software may also be resident on an article of manufacture comprising a computer readable medium having computer readable program code embodied therein and being readable by the mass storage device 925 and for causing the processor 910 to operate in accordance with the methods and teachings herein.
The present invention may also be embodied in a handheld or portable device containing a subset of the computer hardware components described above. For example, the handheld device may be configured to contain only the bus 915, the processor 910, and memory 950 and/or 925. The present invention may also be embodied in a special purpose appliance including a subset of the computer hardware components described above. For example, the appliance may include a processor 910, a data storage device 925, a bus 915, and memory 950, and only rudimentary communications mechanisms, such as a small touch-screen that permits the user to communicate in a basic manner with the device. In general, the more special-purpose the device is, the fewer of the elements need be present for the device to function. In some devices, communications with the user may be through a touch-based screen, or similar mechanism.
It will be appreciated by those of ordinary skill in the art that any configuration of the system may be used for various purposes according to the particular implementation. The control logic or software implementing the present invention can be stored on any machine-readable medium locally or remotely accessible to processor 910. A machine-readable medium includes any mechanism for storing or transmitting information in a form readable by a machine (e.g. a computer). For example, a machine readable medium includes read-only memory (ROM), random access memory (RAM), magnetic disk storage media, optical storage media, flash memory devices, electrical, optical, acoustical or other forms of propagated signals (e.g. carrier waves, infrared signals, digital signals, etc.).
In the foregoing specification, the invention has been described with reference to specific exemplary embodiments thereof. It will, however, be evident that various modifications and changes may be made thereto without departing from the broader spirit and scope of the invention as set forth in the appended claims. The specification and drawings are, accordingly, to be regarded in an illustrative rather than a restrictive sense.
The present application claims priority to U.S. Provisional Application Ser. No. 60/451,116, filed Feb. 26, 2003, which is incorporated herein in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
4608656 | Tanaka et al. | Aug 1986 | A |
5115398 | DeJong | May 1992 | A |
5161886 | DeJong et al. | Nov 1992 | A |
5255349 | Thakoor et al. | Oct 1993 | A |
5272638 | Martin et al. | Dec 1993 | A |
5274742 | Morita et al. | Dec 1993 | A |
5359529 | Snider | Oct 1994 | A |
5444965 | Colens | Aug 1995 | A |
5467268 | Sisley et al. | Nov 1995 | A |
5557522 | Nakayama et al. | Sep 1996 | A |
5559707 | DeLorme et al. | Sep 1996 | A |
5613055 | Shimoura et al. | Mar 1997 | A |
5623580 | Inoue et al. | Apr 1997 | A |
5629854 | Schulte | May 1997 | A |
5636125 | Rostoker et al. | Jun 1997 | A |
5640490 | Hansen et al. | Jun 1997 | A |
5640559 | Silberbauer et al. | Jun 1997 | A |
5642519 | Martin | Jun 1997 | A |
5644656 | Akra et al. | Jul 1997 | A |
5647048 | Ting et al. | Jul 1997 | A |
5652890 | Foster et al. | Jul 1997 | A |
5659555 | Lee et al. | Aug 1997 | A |
5677956 | Lafe | Oct 1997 | A |
5680552 | Netravali et al. | Oct 1997 | A |
5682322 | Boyle et al. | Oct 1997 | A |
5684898 | Brady et al. | Nov 1997 | A |
5694488 | Hartmann | Dec 1997 | A |
5696962 | Kupiec | Dec 1997 | A |
5706400 | Omlin et al. | Jan 1998 | A |
5708829 | Kadashevich et al. | Jan 1998 | A |
5737403 | Zave | Apr 1998 | A |
5737609 | Reed et al. | Apr 1998 | A |
5845228 | Uekawa et al. | Dec 1998 | A |
5881231 | Takagi et al. | Mar 1999 | A |
5890088 | Nimura et al. | Mar 1999 | A |
5941934 | Sato | Aug 1999 | A |
5948040 | DeLorme et al. | Sep 1999 | A |
5961571 | Gorr et al. | Oct 1999 | A |
6003015 | Kang et al. | Dec 1999 | A |
6014518 | Steensgaard | Jan 2000 | A |
6028550 | Froeberg et al. | Feb 2000 | A |
6041281 | Nimura et al. | Mar 2000 | A |
6047280 | Ashby et al. | Apr 2000 | A |
6121900 | Takishita | Sep 2000 | A |
6128571 | Ito et al. | Oct 2000 | A |
6128574 | Diekhans | Oct 2000 | A |
6148090 | Narioka | Nov 2000 | A |
6163749 | McDonough et al. | Dec 2000 | A |
6178377 | Ishihara et al. | Jan 2001 | B1 |
6192314 | Khavakh et al. | Feb 2001 | B1 |
6243755 | Takagi et al. | Jun 2001 | B1 |
6317685 | Kozak | Nov 2001 | B1 |
6341267 | Taub | Jan 2002 | B1 |
6477520 | Malaviya et al. | Nov 2002 | B1 |
6490566 | Schmidt | Dec 2002 | B1 |
6510383 | Jones | Jan 2003 | B1 |
6567746 | Kuroda et al. | May 2003 | B2 |
6611738 | Ruffner | Aug 2003 | B2 |
6622084 | Cardno et al. | Sep 2003 | B2 |
6636840 | Goray et al. | Oct 2003 | B1 |
6654681 | Kiendl et al. | Nov 2003 | B1 |
6662105 | Tada et al. | Dec 2003 | B1 |
6678611 | Khavakh et al. | Jan 2004 | B2 |
6678750 | Meade et al. | Jan 2004 | B2 |
6937936 | Nimura | Aug 2005 | B2 |
6950746 | Yano et al. | Sep 2005 | B2 |
6996469 | Lau et al. | Feb 2006 | B2 |
7123620 | Ma | Oct 2006 | B1 |
7239962 | Plutowski et al. | Jul 2007 | B2 |
20010037229 | Jacobs et al. | Nov 2001 | A1 |
20010047241 | Khavakh et al. | Nov 2001 | A1 |
20010047287 | Jacobs et al. | Nov 2001 | A1 |
20020055865 | Hammann | May 2002 | A1 |
20020174021 | Chu et al. | Nov 2002 | A1 |
20030028319 | Khavakh et al. | Feb 2003 | A1 |
20030040944 | Hileman | Feb 2003 | A1 |
20030144934 | Totten | Jul 2003 | A1 |
20040167712 | Plutowski | Aug 2004 | A1 |
20040204846 | Yano et al. | Oct 2004 | A1 |
20040205395 | Plutowski | Oct 2004 | A1 |
20060146820 | Friedman et al. | Jul 2006 | A1 |
Number | Date | Country |
---|---|---|
63-64508 | Mar 1988 | JP |
01-237265 | Sep 1989 | JP |
5-46590 | Feb 1993 | JP |
8-249617 | Sep 1996 | JP |
11-064523 | Mar 1999 | JP |
11101871 | Apr 1999 | JP |
11-230761 | Aug 1999 | JP |
2000-050992 | Feb 2000 | JP |
2000-132535 | May 2000 | JP |
2003-57050 | Feb 2003 | JP |
9703185 | Mar 1998 | WO |
Number | Date | Country | |
---|---|---|---|
20040215699 A1 | Oct 2004 | US |
Number | Date | Country | |
---|---|---|---|
60451116 | Feb 2003 | US |