Project risk management system utilizing probability distributions
When the process plan made for execution is corrected based on the process correction condition, the variation amount in each of processes based on the process correction condition is calculated as the probability distribution using the probability distribution data generated by obtaining the probability distribution from the variation-amount prediction value of each of the processes. Thereby, the influence degree on other processes when the process is corrected can be estimated not simply as the propagation of the variation fixed value but so as to be more suited to the actual circumstances in accordance with the attribute information and the past variation patterns of the process.
The present invention relates to a project risk management system for evaluating how much influence correction of a process plan exerts on an entire project while project management is performed.
For performing a project, when a process plan from start to finish is worked out, each of the worked-out processes has its own time constraint (i.e., a constraint condition determined by a period required for completion of the process). Each of the worked-out processes is also has a sequence constraint which is a constraint condition determined by an execution sequence relation with other processes. In the process plan for the project, during execution of the process plan, a construction period might be corrected or modified. Thus, in executing the process plan as described above, if the construction-period correction/modification occurs, how much influence it exerts on other processes is evaluated.
When this construction-period correction/modification of a certain process occurs and the influence of the correction/modification on other processes is evaluated, conventionally, a method is often employed in which it is calculated on the basis of the time constraint and the sequence constraint in each of the processes how the construction-period correction/modification amount in the certain process propagates to processes, which are subjected to the sequence constraint relation with the certain process, within the range of the time constraint. As such a conventional specific approach to managing the correction/modification of the process plan, there is provided JP-A-10-240804 and so forth, for example.
SUMMARY OF THE INVENTIONThe conventional method of calculating how the construction-period correction/modification amount propagates within the range of the time constraint defines the propagation of the correction/modification amount of the process plan as a fixed value. That is, when execution of a process “A” is ten days behind an initial process plan, it is calculated that a process “B” subjected to the sequence constraint relation with the process “A” (having the execution sequence relation with other processes) is also delayed ten days.
However, even if the process “B” is subjected to the sequence constraint relation with the process “A” and if the execution of the process “A” is ten days behind the initial process plan, countermeasures against the delay can be sometimes made, in actuality. In such a case, the propagation of the delay amount in the process becomes variable. Accordingly, even if the execution of the process “A” is delayed for ten days, it often happens that the propagation amount of the correction/modification to the other processes does not always become ten days due to the specific contents of the sequence constraint of the process “B” imposed on the process “A” or other individual factors.
For this reason, when the conventional evaluation of the influence degree of the correction/modification in the process plan is performed, in order to obtain the more accurate propagation amount to the other processes, there is a problem that it is necessary to determine the influence degree in view of uncertain factors such as the specific contents of the sequence constraint and other individual factors.
An object of the present invention is to provide a project risk management system and a project risk management apparatus which can perform an evaluation of an influence degree which is more suited to actual circumstances, upon evaluation of the influence degree of contents of correction/modification of a process plan on other process plans.
In order to achieve the object described above, in a project risk management system of the present invention, an influence value of a correction/modification amount is calculated using information in which an influence rate of correction/modification amount of a process is defined as a probability distribution, and information in which an individual process correction method dependent on various variation factors is defined as rule information, in addition to information on a constraint condition which is conventionally used.
Further, means for automatically generating the information on the probability distribution and the rule information using past instance data on project management is employed.
Other objects, features and advantages of the invention will become apparent from the following description of the embodiments of the invention taken in conjunction with the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
An embodiment of a project risk management system and a project risk management apparatus according to the present invention will be described with reference to
Incidentally, the description is directed to the case where a construction work is used as an example of a project for the project risk management system and the project risk management apparatus according to the present embodiment.
Referring to
For performing correction of a process plan, it is first inputted, using the process-correction-condition input device 1, which process (e.g., a process “A”) is to be corrected and how the process should be corrected (e.g., ten days' delay in the process plan). Then, processes (e.g., processes “C” and “D”) associated with the corrected process (e.g., the process “A”) are extracted using information stored in the constraint condition database 2. At the same time, information indicating to what extent these processes (e.g., the processes “C” and “D”) can be varied is also extracted from the constraint condition database 2.
Further, it is extracted, as information on probability distribution, from the probability distribution database 3 how much influence and with how much probability the processes (e.g., the processes “C” and “D”) which will be influenced are subjected to according to the correction contents (e.g., ten day's delay in the process plan) of the corrected process (e.g., the process “A”) and attribute information (information on the type of a work and the type of parts to be worked on and so forth) of the processes (e.g., the processes “C” and “D”) which will be influenced.
Using these information, for process information recorded in the process plan database 5, the process correction device 4 calculates the influence degree on the processes (e.g., the processes “C” and “D”) which will be influenced by the process (e.g., the process “A”) to which the correction is inputted. Then, the process correction device 4 records the result of the calculation in the process plan database 5 as updated process information.
In addition to the configuration of the project risk management system illustrated in
In the configuration illustrated in
For correction of the process plan, information indicating which process (e.g., the process “A”) is to be corrected and how the process is to be corrected (e.g., ten days' delay in the process plan) is first inputted using the process-correction-condition input device 1. Then, the processes (e.g., the processes “C” and “D”) associated with the corrected process (e.g., the process “A”) are extracted using the information stored in the constraint condition database 2. At the same time, the information indicating to what extent these processes (e.g., the processes “C” and “D”) can be varied is also extracted from the constraint condition database 2.
Then, it is extracted as, the information on probability distribution, from the probability distribution database 3 how much influence and with how much probability the processes (e.g., the processes “C” and “D”) which will be influenced are subjected to according to the correction contents (e.g., ten day's delay in the process plan) of the corrected process (e.g., the process “A”) and the attribute information (e.g., information on the type of a work and the type of parts to be worked on) of the processes (e.g., the processes “C” and “D”) which will be influenced. Further, the process correction rule corresponding to the attribute information of the process is extracted from the rule database 6.
Using these information, the process correction device 4 calculates the influence degree on the processes (e.g., the processes “C” and “D”) which will be influenced by the process (e.g., the process “A”) to which the correction is inputted. Then, the process correction device 4 records the calculation result in the process plan database 5 as updated process information. Further, the correction result of the process is displayed by the process plan display device 10.
First, in step a01, when the correction input for every certain period or every process is performed, the probability distribution data on the process variation amounts is generated on the basis of past instance data, and then recorded in the probability distribution database 3. When the probability distribution data is generated in step a01, a process correction rule is periodically generated on the basis of the past instance data, and then recorded in the rule database 6. When the rule data is generated in step a02, it is checked in step a03 whether or not a process correction request from a user or the system through the process-correction-condition input device 1 is made. When it is determined in step a03 that no process correction request from the user or the system through the process-correction-condition input device 1 is made (i.e., when there is no correction request), the procedure returns to step a01.
When it is determined in step a03 that the process correction request from the user or the system through the process-correction-condition input device 1 is made (i.e., when the correction request is inputted), it is inputted using the process-correction-condition input device 1 in step a04 which process (e.g., the process “A”) is to be corrected and how the process is to be corrected (e.g., ten days' delay in the process plan) based on the process correction request. When the process correction condition is inputted to the system based on the process correction request in step a04, the influence of the correction contents of the corrected process (e.g., the process “A”) on other processes is calculated in step a05 using information on the constraint condition data extracted from the constraint condition database 2 based on the inputted process correction condition (e.g., ten days' delay in the process plan), the probability distribution data extracted from the probability distribution database 3 based on the information on the processes (e.g., the processes “C” and “D”) associated with the corrected process (e.g., the process “A”) and the rule data extracted from the rule database 6.
When the influence of the correction contents of the corrected process on other processes is calculated in step a05 using information on the constraint condition data extracted on the basis of the inputted process correction condition, the probability distribution data extracted on the basis of the information on the processes associated with the corrected process and the rule data, the process plan corrected in step a05 is recorded in the process plan database 5 in step a06. When a request from the user or the system is made, the corrected process plan is displayed.
The embodiment of the project risk management system and the project risk management apparatus according to the present invention will be described below in further detail, using specific examples.
Referring to
First, the information on past instances recorded in the instance database 9 is classified into groups in matrix [(TYPES OF WORKS)×(TYPES OF PARTS TO BE WORKED ON)] according to the types of works and the types of parts to be worked on. When the information on the past instances is classified into the groups according to the types of the works and the types of the parts to be worked on in step 701, one type of the works classified in step 701 is selected in step 702. When one type of the works is selected from the types of the works classified in step 702, one type of the parts to be worked on is selected in step 703 from the types of the parts classified in step 701.
When one type of the works is selected in step 702 from the types of the works classified in step 701 and one type of the parts to be worked on is selected in step 703 from the types of the parts classified in step 701, one process is selected in step 704 from processes which belong to a taxonomic group defined by the type of the work selected in step 702 and the type of the parts to be worked on selected in step 703. When one process is selected from the processes which belong to the taxonomic group in step 704, a deviation amount M of the number of man-hour per unit number of the parts for the process selected in step 704 is determined from Equation (1), in step 705.
M=((ACTUAL NUMBER OF MAN-HOUR)−(PLANNED NUMBER OF MAN-HOUR))/(NUMBER OF PARTS) (1)
When the deviation amount M of the number of man-hour per unit number of parts is determined in step 705, the deviation amount M of the number of man-hour per unit number of parts for the selected process is added to information on the value of the deviation amount M of the number of man-hour per unit number of parts for other processes in the selected group. On the basis of these deviation values, frequency distribution information (probability distribution data) on the deviation amount M of the number of man-hour is generated as the probability distribution data on the number of man-hour for the selected group. As segment information on the frequency distribution, data obtained by dividing a range from −50 to 50 days by the unit of 0.5 day is used. When the probability distribution data on the deviation amount M of the number of man-hour is generated in step 706, a deviation amount T of the construction period per unit number of parts for the process selected in step 704 is determined from Equation (2).
T=((ACTUAL CONSTRUCTION PERIOD)−(PLANNED CONSTRUCTION PERIOD))/(NUMBER OF PARTS) (2)
When the deviation amount T of the construction period per unit number of parts is determined in step 707, the deviation amount T of the construction period per unit number of parts for the selected process is added to information on the value of the deviations amount T of the construction period per unit number of parts for other processes in the selected group. On the basis of these values, frequency distribution information on the deviation amount T of the construction period (probability distribution data) on the construction period is generated as the probability distribution data on the construction period in the selected group. As segment information on the frequency distribution, data obtained by dividing a range from −50 to 50 days by the unit of 0.5 day is used.
When the probability distribution data on the deviation amount T of the construction period is generated in step 708, it is determined in step 709 whether or not the processing is performed on all the process information in the selected group. When it is determined in step 709 that the processing is not performed on all the process information in the selected group (or when the processing on all the process information is not completed), the procedure returns to step 704. On the other hand, when it is determined in step 709 that the processing is performed on all the process information in the selected group (or when the processing on all the process information is completed), it is determined in step 710 whether or not the processing is performed on all the types of the parts to be worked on in the selected type of the work. When it is determined in step 710 that the processing is not been performed on all the types of the parts to be worked on in the selected type of the work, the procedure returns to step 703. On the other hand, when it is determined in step 710 that the processing is performed on all the types of the parts to be worked on in the selected type of the work (or when the processing on all the types of the parts to be worked on in the selected type of the work is completed), it is determined in step 711 whether or not the processing on all the types of the works is performed. When it is determined in step 711 that the processing on all the types of the works is not performed, the procedure returns to step 702.
On the other hand, when it is determined in step 711 that the processing on all the types of the works is performed, the generated probability distribution data is outputted in step 712. Then, the generated probability distribution data is recorded in the probability distribution database 3 every element of the matrix, which comprises the types of works and the types of parts to be worked on in the works, for the number of man-hour and the construction period, thereby finishing this processing flow.
Referring to
First, in step 801, one process is selected from all the process information recorded in the instance database 9 illustrated in
When the characteristic quantities (the quantitative values) are set in step 804, the deviation amount M of the number of man-hour per number of parts calculated in step 802 and the deviation amount T of the construction period per number of parts calculated in step 803 are associated (or paired) with the process characteristic quantity (the quantitative value) set in step 804, and recorded in the vector form (one-dimensional vector) in step 805. For example, in the forgoing example, they are recorded as the one-dimensional vector (a code indicating the deviation amounts M and T, fine-day rate, and the presence or absence of scaffolding). When the deviation amount M of the number of man-hour per number of parts is paired with the deviation amount T of the construction period per number of parts, and then they are recorded in the vector form in step 805, it is determined in step 806 whether or not the processing from step 802 to step 805 is performed on all the processes recorded in the instance database 9. When it is determined in step 806 that the processing from step 802 to step 805 is not performed on all the processes recorded in the instance database 9, the procedure returns to step 801.
On the other hand, when it is determined in step 806 that the processing from step 802 to step 805 is performed on all the processes recorded in the instance database 9 (or all the processes are subjected to processing), one of the vectors recorded in step 805 is selected in step 807. When one vector is selected in step 807 from the vectors recorded, the vector selected in step 807 is normalized into a unit vector in step 808. After normalization of the vector selected in step 807 into the unit vector, angles made between the vector normalized in step 808 and all the other vectors (already normalized) are calculated (or the inner products of the unit vector with all the other vectors are calculated) in step 809.
After the angles made between the vector normalized in step 808 and all the other vectors (already normalized) are calculated (or the inner products of the unit vector with all the other vectors are calculated) in step 809, it is determined in step 810 whether or not the number of vectors with the values of the angles calculated in step 809 equal to or less than a given value (e.g., less than 10°) is equal to or more than a specified value (e.g., equal to or more than 5% of the number of all the vectors). When it is determined in step 810 that the number of vectors with the values of the angles calculated in step 809 equal to or less than the given value (e.g., less than 10°) is equal to or more than the specified value (e.g. equal to or more than 5% of the number of all the vectors), a rule is created based on a combination of vector elements in step 811. Specifically, if the average of the vectors in which the number of vectors of the same direction is equal to or more than the specified number) is (M=1.5 (man-hour), T=2 (days), fine-day rate=70%, and presence or absence of scaffolding=present), rule “If the fine-day rate is equal to or more than 70% and scaffolding is present, 1.5 man-hour should be incremented to the number of man-hour, and 2 days should be incremented to the construction period) is created, for example.
On the other hand, when it is determined in step 810 that the number of vectors with the values of the angles calculated in step 809 equal to or less than the given value (e.g., less than 10°) is not equal to or more than the specified value (e.g., equal to or more than 5% of the number of all the vectors), or when the rule is created in step 811 based on the combination of vector elements, it is determined in step 812 whether or not the processing is performed on all the vectors recorded in step 805. When it is determined in step 812 that the processing is not performed on all the vectors recorded in step 805, the procedure returns to step 807. On the other hand, when it is determined in step 812 that the processing is performed on all the vectors recorded in step 805 (or all the vectors are subjected to the processing), the rule created in step 811 is outputted to the rule database 6 in step 813, thereby completing this processing flow. If a plurality of rules with the deviation amounts of quantitative value parameters being within ±10% are present in this processing flow, a rule created using the average of the quantitative values for these rules is recorded as a typical rule.
Referring to
Referring to
Further, the number of times of a Monte Carlo simulation which is performed when the deviation amount of the process is estimated is set using an entry box 107. The Monte Carlo simulation is a mathematical approach to determine the approximate solution of a problem by numerical experiments using repetitive calculations and random numbers, and simulates the variation amount of the process using random numbers for stochastic variations by means of a computer. Furthermore, a percentile value for evaluating the variation-amount prediction values calculated as the probability distribution is set using an entry box 109. The percentile value is a parameter used for presenting the variation amount which occurs with a probability equal to or below that percentile. Then, by selecting a “correction execution” button 108 after completion of all the settings, an estimation process of the variation amount is started under the set conditions.
Referring to
On the other hand, the sequence constraint illustrated in
Referring to
First, in step 401, a parameter S for a counter indicating a simulation count displayed on the display screen of the process-correction-condition input device 1 illustrated in
When one of the processes extracted in step 402 is selected in step 403, the variation-amount prediction value of the process selected in step 403 is calculated as the sum of a variation amount in the corrected process, a variation amount randomly selected on the basis of the probability distribution data, and a variation amount defined by rule data the condition of which is satisfied by the attribute data of the process selected in step 403.
(PROCESS VARIATION AMOUNT)=(VARIATION AMOUNT IN CORRECTED PROCESS)+(VARIATION AMOUNT DETERMINED BY PROBABILITY DISTRIBUTION DATA)+(VARIATION AMOUNT DETERMINED BY RULE DATA)
For calculation, the variation amount in the construction period is used as the variation amount without alteration. However, the variation amount in the number of man-hour is converted to the value expressed in terms of the variation amount in the construction period, based on the number of workers and using Equation (3).
(CONSTRUCTION PERIOD VARIATION AMOUNT)=(VARIATION AMOUNT IN NUMBER OF MAN-HOUR)/(NUMBER OF WORKERS) (3)
Then, using information on the prediction value for the variation amount in the construction period, the prediction values for the variation ranges of the start and finish dates of the process are calculated.
When the variation amount prediction values for the process selected in step 403 are calculated in step 404, it is determined in step 405 whether or not the processing is performed on all the processes subjected to the sequence constraint, which are extracted in step 402. When it is determined in step 405 that the processing is not performed on all the processes subjected to the sequence constraint, which are extracted in step 402, the procedure returns to step 403. On the other hand, when it is determined in step 405 that the processing is performed on all the processes subjected to the sequence constraint, which are extracted in step 402, the processing from step 402 to step 406 is performed on the processes subjected to the sequence constraint with respect to all the processes extracted in step 402.
When the processing from step 402 to step 406 is performed on the processes subjected to the sequence constraints with respect to all the processes extracted in step 402, the variation amounts in the respective processes corrected by a series of processing are handled as frequency data in the current simulation count, so that the information on the variation-amount frequency distribution data for the respective processes is updated. When the variation amounts in the respective processes corrected by a series of processing are handled as the frequency data in the current simulation count and then the information on the variation-amount frequency distribution data for the respective processes is updated in step 407, the parameter S is incremented by “1” in step 408.
When the incrementing process is performed in step 408, it is determined in step 409 whether or not the parameter S exceeds the simulation count set by the process-correction-condition input device 1. When it is determined in step 409 that the parameter S does not exceed the simulation count set by the process-correction-condition input device 1, the procedure returns to step 403. On the other hand, when it is determined in step 409 that the parameter S exceeds the simulation count set by the process-correction-condition input device 1, the variation-amount frequency distribution data on the process plan after correction is outputted in step 410. Thereafter, the variation-amount frequency distribution data on the respective processes is recorded in the process plan database 5, and then this processing flow is finished.
Referring to
Referring to
In this embodiment, basically, the variation amount in the construction period is predicted. However, by employing a model (in a linear form and so forth) which defines the relationship between the variation amount in the construction period and the resulting increased cost, it also becomes possible to evaluate the influence of the process correction on future cost variations. The display screen showing the cost variation amount in that case is shown in
Referring to
In this embodiment, the description is directed to the instance of the project management in the construction work. However, the present invention is not limited to the project management in the construction work, and can also be extensively applied to the process management in other fields such as software development, operation schedules of transportation means and a semiconductor manufacturing process. Thus, the approach which is the same as the one according to the embodiment can be adopted.
The foregoing description is given about an example of the processing according to the present invention. When the processing is actually systematized, as shown in
According to the present invention, the influence amount to other processes when a process is corrected can be estimated not as the propagation of the variation fixed values, but so as to be more suited to the actual circumstances according to the attribute information of the process or the past variation patterns of the process.
It should be further understood by those skilled in the art that although the foregoing description has been made on embodiments of the invention, the invention is not limited thereto and various changes and modifications may be made without departing from the spirit of the invention and the scope of the appended claims.
Claims
1. A project risk management system, wherein
- when a process plan made for execution is corrected based on a process correction condition,
- a variation amount in each of processes based on said process correction condition is calculated as a probability distribution using probability distribution data generated by obtaining a probability distribution from a variation-amount prediction value of each of said processes.
Type: Application
Filed: Dec 12, 2007
Publication Date: May 1, 2008
Inventors: Takeshi Yokota (Hitachi), Hisanori Nonaka (Tokai), Kenji Araki (Mito), Youichi Nishikawa (Tokyo), Makoto Kudoh (Kashiwa)
Application Number: 12/000,341
International Classification: G06Q 10/00 (20060101);