Distribution monitoring system, distribution monitoring method, and distribution monitoring program

Abstract

To provide a distribution monitoring system that enables understanding of the direction of progression from a point where a predetermined physical quantity is large to a point where it is small.SOLUTION: Two potential surfaces are defined from the water levels hw at each of the measurement points I, P, Q, and R. Specifically, these are the potential surface of region IPQ and the potential surface of region IQR. The PU calculates the normal vectors of each potential surface. The PU determines the direction of water flow in each of the regions IPQ and IQR based on the horizontal components of the normal vectors of regions IPQ and IQR, respectively.SELECTED DRAWING: Figure 4

Description

[Technical field]

[0001] The present invention relates to a distribution monitoring system, a distribution monitoring method, and a distribution monitoring program. [Background technology]

[0002] For example, the following Patent Document 1 describes a well monitoring system that includes a sensor for measuring the water level in each of multiple wells in the same aquifer. This system aggregates the detection values ​​of the sensors in each of the multiple wells in a server. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Patent Publication No. 2021-67047 Summary of the Invention [Problem to be solved by the invention]

[0004] Although the above system can centrally manage the water levels of each well, it cannot grasp the groundwater flow. [Means for solving the problem]

[0005] Means for solving the above problems and their effects will be described below. 1. A distribution monitoring system having a sensor provided at each of four or more mutually different measurement points and configured to execute an acquisition process and a gradient variable calculation process, wherein the acquisition process is a process of acquiring detection values ​​of the sensor at each of the mutually different measurement points, and the gradient variable calculation process is a process of calculating the value of a gradient variable of a specified physical quantity in each of a number of regions using the detection values ​​for the multiple measurement points as input, and the gradient variable is a variable that indicates the gradient of a surface determined by the magnitude of the specified physical quantity for each position.

[0006] In the above configuration, the value of a gradient variable of a predetermined physical quantity is calculated based on the detection values ​​of the multiple measurement points. This makes it possible to grasp the direction in which the predetermined physical quantity moves from a point where the predetermined physical quantity is large to a point where the predetermined physical quantity is small. In particular, in the above configuration, since the value of the gradient variable is calculated for each of the multiple regions, the direction in which the predetermined physical quantity moves from a point where the predetermined physical quantity is large to a point where the predetermined physical quantity is small for various points can be grasped in more detail than when a single gradient variable value is calculated.

[0007] 2. A distribution monitoring system according to claim 1, wherein the gradient variable calculation process includes a process of calculating a normal vector of a plane determined from detection values ​​at three adjacent measurement points. In the above configuration, a plane indicating a predetermined physical quantity according to a position can be defined by the detection values ​​at each of the three adjacent measurement points. The normal vector of the plane has a correlation with the gradient. Therefore, in the above configuration, the three adjacent measurement points are treated as one region, and the value of the gradient variable in the region can be calculated.

[0008] 3. The distribution monitoring system according to claim 1, wherein the predetermined physical quantity is a physical quantity indicating a water level. With the above configuration, the water level gradient in each of the multiple regions can be grasped. 4. The distribution monitoring system according to any one of 1 to 3 above, wherein the predetermined physical quantity is a physical quantity indicating energy, and the gradient variable is a variable indicating a flow direction of the energy.

[0009] In the above configuration, the direction of energy flow in each of the multiple regions can be grasped based on the value of the gradient variable in each of the multiple regions. 5. A distribution monitoring system as described in any one of 1 to 4 above, in which an adjustment device for adjusting the quantity to be detected by the sensor is disposed at at least one of the different measurement points, and the system is configured to execute a target value setting process and an adjustment process, the target value setting process being a process for setting a variable target value in each of the multiple regions, the variable target value being a variable for determining a target value of the gradient, and the adjustment process being a process for controlling the gradient in each of the multiple regions to approach the target value of the gradient by operating the adjustment device.

[0010] In the above configuration, the gradient in each of the multiple regions can be controlled to approach a target value by the adjustment process, and therefore the direction in which the predetermined physical quantity moves from a position where it is large to a position where it is small in each of the multiple regions can be changed to a desired direction.

[0011] 6. The distribution monitoring system according to claim 5, wherein the sensor is configured to detect a groundwater level, and the adjustment process is a process of controlling a gradient of the groundwater level. In the above configuration, the flow direction of the groundwater can be controlled by the adjustment process.

[0012] 7. A distribution monitoring system described in any one of 1 to 6 above, comprising a sensor, an adjustment device and a control unit arranged at each of the multiple measurement points, the adjustment device configured to adjust the quantity to be detected by the sensor, and the control unit configured to acquire the detection value and operate the adjustment device.

[0013] In the above configuration, a predetermined physical quantity can be controlled by the adjustment device at each of the multiple measurement points, and therefore, the degree of freedom in controlling the gradient of the region is greater than when adjustment devices are provided only at some of the multiple measurement points.

[0014] 8. A distribution monitoring system as described in claim 7, wherein the control units arranged at the multiple measuring points are configured to be able to communicate with each other. In the above configuration, the control units arranged at the multiple measurement points can control the gradient while communicating with each other.

[0015] 9. A distribution monitoring method comprising the steps of executing each process in the distribution monitoring system according to any one of 1 to 8 above. 10. A distribution monitoring program that causes a computer to execute each process in the distribution monitoring system according to any one of 1 to 8 above. [Brief description of the drawings]

[0016] [Figure 1] 1 is a block diagram showing a configuration of a distribution monitoring system according to an embodiment. [Diagram 2] 4 is a flowchart showing a procedure of a process executed by a control unit according to the embodiment. [Diagram 3] 4 is a flowchart showing a procedure of a process executed by a control unit according to the embodiment. [Figure 4] FIG. 4 is a diagram showing a potential surface according to the embodiment. [Diagram 5] FIG. 4 is a diagram showing normal vectors and water flow vectors according to the embodiment. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0017] Hereinafter, an embodiment will be described with reference to the drawings. System Configuration A distribution monitoring system according to this embodiment is shown in Fig. 1. In this embodiment, a system for controlling the flow of groundwater in the same aquifer is illustrated as an example.

[0018] As shown in FIG. 1, control units 10(1), 10(2), 10(3), 10(4), ... are located at different points in the same aquifer. These points correspond to the water level measurement points. The number in parentheses after control unit 10 is a variable that identifies the point. Hereinafter, control units 10(1), 10(2), 10(3), 10(4), ... will be collectively referred to as control unit 10.

[0019] Actuators 20(1), 20(2), ... and sensors 22(1), 22(2), ... are arranged near control units 10(1), 10(2), 10(3), 10(4), .... The number in parentheses after actuator 20 is a variable that identifies the location. Hereinafter, actuators 20(1), 20(2), ... are collectively referred to as actuator 20. The number in parentheses after sensor 22 is also a variable that identifies the location. Hereinafter, sensors 22(1), 22(2), ... are collectively referred to as sensor 22.

[0020] The sensor 22 is configured to measure the water level of a well at the location where the control unit 10 is located. The actuator 20 is an adjustment device that adjusts the water level of the well. The actuator 20 includes, as an example, a pump. That is, when the pump draws water from the well, the water level of the well drops. The actuator 20 also includes, as an example, a valve that controls the flow of water from the water tank to the well. When the valve opens, water is supplied from the water tank to the well, causing the water level of the well to rise.

[0021] The control unit 10 includes a PU 12, a memory 14, and a communication device 16. The PU 12 is a software processing device such as a CPU, a GPU, and a TPU. A water flow control program 14a is stored in the memory 14. The communication device 16 enables communication with the control unit 10 at other measurement points via a server 30.

[0022] The multiple control units 10 use cooperative control to control the flow direction of groundwater in each of the multiple regions into which the aquifer is divided. In the cooperative control, the control units 10 arranged at the multiple measurement points respectively operate the actuators 20 according to the manipulated variable of feedback control, in which the water level of the well is the controlled variable.

[0023] In this embodiment, a remote command unit 32 is provided that allows a person to input command values ​​for controlling the water flow. The remote command unit 32 is capable of communicating with the control unit 10 via the server 30. When a command is issued by the remote command unit 32, the control unit 10 may prioritize the command.

[0024] Water flow control 2 and 3 show the procedure for controlling the water flow by the control unit 10 without relying on the remote command unit 32. The process shown in Fig. 2 and Fig. 3 is realized by the PU 12 at each measurement point executing the water flow control program 14a. In the following, the step number of each process is represented by a number preceded by "S". In the following, the variable i is set to 1, 2, 3, ..., and the process in the control unit 10(i) at a specific measurement point is explained as an example.

[0025] In the series of processes shown in Fig. 2, PU 12(i) first acquires detection value dw(i) by sensor 22(i) (S10). Next, PU 12(i) calculates the water level hw(i) of the well based on the elevation at the position where sensor 22(i) is placed and detection value dw. Note that, as an example, information on the elevation may be stored in advance in memory 14. Then, PU 12(i) operates communication device 16 to transmit the water level hw(i) to control unit 10 of another measurement point (S14).

[0026] PU12(i) receives the water levels hw(p), hw(q), hw(r), ... at adjacent measurement points (S16). Here, "p", "q", "r", ... are different natural numbers. The water levels hw(p), hw(q), hw(r), ... are data transmitted by the process of S14 executed by PU12(p), PU12(q), PU12(r), ..., respectively.

[0027] PU 12(i) generates water level data for each position, which is data consisting of the coordinates of the measurement point and the water level hw (S18). That is, for example, a set of data is generated by the water level hw(i) and the coordinates x(i), y(i) of the measurement point. Also, for example, a set of data is generated by the water level hw(p) and the coordinates x(p), y(p) of the measurement point. The coordinates x, y of the measurement point may be stored in advance in memory 14.

[0028] PU12(i) calculates the normal vector N of the potential surface (S20). The potential surface is a surface defined by the magnitude of the potential energy of groundwater defined for each position. The potential surface is also a surface defined by the water level for each position.

[0029] FIG. 4 illustrates an example of a potential surface for which PU12(i) calculates a normal vector N. FIG. 4 illustrates a triangular potential surface determined from the water level data at the measurement point I corresponding to PU12(i) and the adjacent measurement points P and Q. FIG. 4 also illustrates a triangular potential surface determined from the water level data at the measurement point I corresponding to PU12(i) and the adjacent measurement points Q and R. That is, in this embodiment, the water level at points other than the measurement points is determined by linear interpolation. In FIG. 4, the measurement points adjacent to the measurement point I are three, namely, the measurement points P, Q, and R, but this is an example. The number of measurement points adjacent to the measurement point I may be two, or may be four or more. When the number of measurement points adjacent to the measurement point I is four, three potential surfaces are defined. The processing in FIG. 2 and FIG. 3 is described so as to be consistent with the example in FIG. 4.

[0030] 5 illustrates an example of a normal vector N(ipq) in an area IPQ partitioned by measurement points I, P, and Q. PU(i) obtains the normal vector N(ipq) by the cross product of a vector vip proceeding from measurement point I to measurement point P, and a vector viq proceeding from measurement point I to measurement point Q. In other words, "N(ipq) = vip × viq." PU12(i) calculates the normal vector N(iqr) in a similar manner.

[0031] Returning to FIG. 2, PU(i) calculates water flow vectors Nv(ipq), Nv(iqr) as horizontal components of the normal vector N(ipq) (S22). FIG. 5 shows an example of a water flow vector Nv(ipq). The water flow vector Nv(ipq) indicates the horizontal flow direction of groundwater. Groundwater flows from a point with high potential energy to a point with low potential energy. Therefore, in order to quantify the flow direction of groundwater by the water flow vector Nv, a normal vector N is selected whose vertical component is positive. This can be achieved by selecting the angle between the two vectors used in the cross product calculation to be 180° or less counterclockwise.

[0032] Returning to Fig. 2, PU 12(i) judges whether the groundwater flow is undesirable or not based on the water flow vector Nv (S24). In this process, PU 12(i) compares the water flow vector Nv with a direction that is permissible for the groundwater flow. For this process, data defining the permissible direction is stored in memory 14 in advance.

[0033] When PU 12(i) determines that the groundwater flow direction is not permissible (S24: YES), it provisionally sets target water levels for its assigned measurement point I and the adjacent measurement points P, Q, and R (S26).

[0034] Here, PU12(i) executes the following process for each region. First, PU12(i) rotates the water flow vector Nv calculated in the process of S22 by the smallest possible rotation angle on the horizontal plane so that it falls within a range that is permissible for the flow of groundwater. Next, PU12(i) calculates a normal vector N for obtaining the rotated water flow vector Nv. Specifically, PU12(i) newly calculates a potential surface when the water level at each of the three measurement points that define the potential surface is changed by a unit amount. Next, PU12(i) obtains the normal vector N and water flow vector Nv of the potential surface. Each time PU12(i) newly calculates the normal vector N and water flow vector Nv of the potential surface, it determines whether or not they match the rotated water flow vector Nv. If the newly calculated water flow vector of the potential surface matches the rotated water flow vector Nv, PU12(i) provisionally sets the water level of each measurement point at that time to the target water level hw*.

[0035] PU(i) calculates the target water level hw* for all areas defined by the measurement point I under its control and the adjacent measurement points P, Q, and R. Specifically, for example, PU12(i) first calculates the target water levels hw*(i), hw*(p), and hw*(q) for one area IPQ. Then, PU12(i) calculates the target water levels hw* for other areas. Here, PU(i) stores the measurement points for which the target water level hw* has already been calculated. That is, when PU(i) calculates the target water level hw* in the area IQR, it does not change the target water levels hw*(i) and hw*(q), but changes the target water level hw*(r). However, if the groundwater flow in the area IQR cannot be brought within the permissible range by changing the target water level hw*(r), PU12(i) searches again for the target water levels hw*(i), hw*(p), and hw*(q).

[0036] When completing the process of S26, the PU 12(i) operates the communication device 16 to transmit the provisionally set target water level hw* to the control units 10 of the other measurement points (S28). When the process of S28 is completed or when a negative judgment is made in the process of S24, PU12(i) receives the target water level hw* provisionally set by another measurement point (S30). Here, the received target water level hw* is a value at a measurement point adjacent to the measurement point where PU(i) is located.

[0037] Then, PU12(i) evaluates the target water level hw* (FIG. 3: S32). Here, PU12(i) evaluates whether the value set by the other measurement points is feasible for the measurement points to which the target water level hw* is set in the process of S26. That is, for example, in FIG. 4, the target water level hw*(q) provisionally set by the measurement points adjacent to the measurement point Q may be significantly different from the one determined by PU12(i) in relation to the water level hw at the measurement points not considered by PU12(i). PU12(i) evaluates that the requirements of the other measurement points can be satisfied if the groundwater flow direction in the areas IPQ and IQR can be set within an acceptable range even if the target water level hw*(q) calculated at the other measurement points is changed. On the other hand, PU12(i) evaluates that the requirements of the other measurement points cannot be satisfied if the groundwater flow direction in the areas IPQ and IQR cannot be set within an acceptable range.

[0038] The PU 12(i) transmits the evaluation results to the control units 10 of the other measurement points by operating the communication devices 16 (S34). The PU 12(i) also receives the evaluation results from the control units 10 of the other measurement points (S36). Next, the PU 12(i) determines whether or not at least one of the received evaluation results and the transmitted evaluation results includes an evaluation indicating that the requirements of the other measurement points cannot be satisfied (S38).

[0039] If the PU12(i) has an evaluation that the request cannot be satisfied (S38: YES), it executes arbitration processing with the other measuring points (S40). Here, if the PU12(i) does not satisfy the request of the other measuring points at any of the measuring points P, Q, R adjacent to the measuring point I that it is responsible for, it transmits the allowable range of the water level hw at the adjacent measuring points P, Q, R to the control unit 10 of the other measuring point. As a result, the PU12 of the other measuring point searches for a target water level hw* that sets the groundwater flow direction within the allowable range of water level. Then, the PU12 transmits the target water levels hw*(p), hw*(q), and hw*(r) at the measuring points P, Q, and R from the search results to the control unit 10(i).

[0040] Furthermore, if the requirements of the other measurement points are satisfied at any of the measurement points P, Q, and R adjacent to the measurement point I that PU12(i) is responsible for, PU12(i) waits while the search process for the target water level hw* is being performed at the other measurement points. If the search process results in a change in the target water level hw* at the measurement points P, Q, and R, PU12(i) receives a notification to that effect.

[0041] When the process of S40 is completed or when the process of S38 is negative, PU12(i) determines the target water level hw*(i) (S42). The target water level hw*(i) determined by this process is a value that brings the groundwater flow direction in the areas IPQ and IQR into an allowable range and satisfies the water level requirements of the measurement points P, Q, and R arising from other areas.

[0042] The PU 12(i) operates the actuator 20(i) so as to bring the water level hw at the measurement point I closer to the target water level hw*(i) (S44). When the PU 12(i) completes the process of S44, it temporarily ends the series of processes shown in FIG. 3 and FIG.

[0043] "Actions and Effects of the Present Embodiment" The PU12 constituting the system calculates the normal vector N and the water flow vector Nv in each of the regions into which the aquifer is divided. Therefore, more detailed information about the groundwater flow direction can be obtained compared to the case where a single water flow vector is calculated.

[0044] According to the present embodiment described above, the following actions and effects can be obtained. (1) The PU 12 calculated the normal vector N and the water flow vector Nv at three adjacent measurement points. This makes it possible to calculate the normal vector N and other parameters for the potential surface that indicates the potential energy of the water surface, which is determined by linear interpolation.

[0045] (2) The PU 12 calculates the normal vector N by the cross product of two vectors determined by three points. This makes it possible to easily calculate the normal vector N. (3) PU12 controlled the water level in the well when the water flow vector Nv deviated from the permissible groundwater flow direction, thereby preventing groundwater from flowing in an unpermissible direction.

[0046] <Correspondence> The correspondence between the matters in the above embodiment and the matters described in the "Means for solving the problem" column is as follows. In the following, the correspondence is shown for each number of the means for solving the problem described in the "Means for solving the problem" column. [1,3,6,7,9,10] The acquisition process corresponds to the process of S10. The gradient variable calculation process corresponds to the processes of S12 to S22. The predetermined physical quantity corresponds to the water level hw or the potential energy of the water surface. The gradient variable corresponds to the normal vector N or the water flow vector Nv. [2] Corresponds to the process of S20. [4] The variable indicating the flow direction of the energy corresponds to the normal vector N or the water flow vector Nv. [5] The adjustment device corresponds to the actuator 20. The target value setting process corresponds to the process of S42. The adjustment process corresponds to the process of S44. The control unit corresponds to the control unit 10. The variable target value corresponds to the target water level hw*. [8] Corresponds to the fact that the control units 10(1), 10(2), ... are capable of communicating with each other via the server 30 in FIG. 1.

[0047] <Other embodiments> This embodiment can be modified as follows: This embodiment and the following modifications can be combined with each other to the extent that no technical contradiction occurs.

[0048] "About multiple areas" Each of the multiple regions does not necessarily have to be an area defined by three measurement points. For example, in the example shown in Fig. 4, the region IPQ may be subdivided by measurement points I, P, Q and the three midpoints by defining the midpoint of measurement point I and measurement point P, the midpoint of measurement point P and measurement point Q, and the midpoint of measurement point Q and measurement point I. Here, if the water level at each midpoint is subjected to curved interpolation, the potential surfaces in each of the four regions into which the region IPQ is subdivided will not necessarily be parallel. In other words, the potential surfaces may be different from each other.

[0049] "Gradient variable calculation process" The method for calculating the normal vector N of the potential surface is not limited to the method using the cross product. For example, when the number of measurement points is very large, or when the area of ​​the region is very small, the gradient of the potential surface may be calculated approximately. In this case, the PU 12 may divide the potential surface into a plurality of regions as appropriate and calculate the gradient for each region.

[0050] "Regarding a given physical quantity" The predetermined physical quantity is not limited to the water level hw or the potential energy of the water surface. For example, the predetermined physical quantity may be the temperature at each position. In that case, the gradient variable indicates the temperature gradient. For example, the predetermined physical quantity may be the humidity at each position. For example, the predetermined physical quantity may be the pressure at each position. For example, the predetermined physical quantity may be the matric potential. For example, the predetermined physical quantity may be the water potential. Here, the water potential may be a sum of an osmotic potential, a pressure potential, a gravitational potential, a potential due to humidity, and a matric potential. The scalar potential as the predetermined physical quantity may also be, for example, a potential due to an electric field. It is not essential that the potential as the predetermined physical quantity is a scalar potential, and it may be a vector potential.

[0051] "About the adjustment device" The adjustment device is not limited to the actuator 20 for supplying or suctioning water. For example, as described in the section "Regarding the Predetermined Physical Quantity," if the predetermined physical quantity is temperature, the adjustment device may be a heater.

[0052] It is not essential to provide an adjustment device such as the actuator 20 at every measurement point. "About variable target values" It is not essential to adopt the target water level hw* as a variable for determining the target value of the gradient of the potential surface of potential energy. For example, the target value of the normal vector N may be adopted as a variable for determining the target value of the gradient of the potential surface of potential energy. In that case, for example, when the target value of the normal vector N of the potential surface in the region IPQ is determined, the PU 12 at each of the measurement points I, P, and Q may repeat the process of updating the normal vector N by inputting the detection value dw while operating the actuator 20. Here, the PU 12 operates the actuator 20 so that the updated normal vector N approaches the target value of the normal vector N.

[0053] "About setting variable target values" The processes of S26 to S40 are not essential. For example, the target water levels hw* of all the measurement points may be set by one control unit 10 by acquiring the water levels hw of all the measurement points. Also, for example, the server 30 may set the target water levels hw* of all the measurement points by acquiring the water levels hw of all the measurement points.

[0054] "Communication between control units" It is not essential that the control units 10 are able to communicate with each other via the server 30. For example, the control units 10 may be able to communicate with each other directly.

[0055] "About the control unit" The control unit is not limited to one that executes software processing. For example, it may be provided with a dedicated hardware circuit, such as an ASIC, that executes at least a part of the processing executed in the above embodiment. That is, the control unit may include a processing circuit having any of the following configurations (a) to (c). (a) A processing circuit that includes a processing device that executes all of the above processing according to a program, and a program storage device, such as a storage device, that stores the program. (b) A processing circuit that includes a processing device and a program storage device that executes a part of the above processing according to a program, and a dedicated hardware circuit that executes the remaining processing. (c) A processing circuit that includes a dedicated hardware circuit that executes all of the above processing. Here, there may be multiple software execution devices that include a processing device and a program storage device. Also, there may be multiple dedicated hardware circuits. [Explanation of symbols]

[0056] 10...Control section 14…Memory 14a…Water flow control program 16...Communication device 20...Actuator 22…Sensor 30…Server 32...Remote control unit

Claims

1. A sensor is provided at each of four or more different measurement points, The method is configured to execute an acquisition process and a gradient variable calculation process, the acquisition process is a process of acquiring detection values ​​of the sensors at the measurement points different from each other, the gradient variable calculation process is a process of calculating a gradient variable value of a predetermined physical quantity in each of a plurality of regions using the detection values ​​related to the plurality of measurement points as an input; A distribution monitoring system, wherein the gradient variable is a variable indicating a gradient of a surface determined by the magnitude of the predetermined physical quantity for each position.

2. 2. The distribution monitoring system according to claim 1, wherein the gradient variable calculation process includes a process of calculating a normal vector of a plane determined from detection values ​​at three adjacent measurement points.

3. The distribution monitoring system according to claim 1 , wherein the predetermined physical quantity is a physical quantity indicating a water level.

4. the predetermined physical quantity is a physical quantity indicating energy, 2. The distribution monitoring system according to claim 1, wherein the gradient variable is a variable indicating a flow direction of the energy.

5. an adjustment device for adjusting a quantity to be detected by the sensor is disposed at at least one of the different measurement points; configured to execute a target value setting process and an adjustment process; the target value setting process is a process of setting a variable target value in each of the plurality of regions; the variable target value is a variable for determining a target value of the gradient, The distribution monitoring system according to claim 1 , wherein the adjustment process is a process of controlling the gradient in each of the plurality of regions to approach a target gradient value by operating the adjustment device.

6. The sensor is configured to detect a groundwater level; The distribution monitoring system according to claim 5 , wherein the adjustment process is a process for controlling a gradient of the groundwater level.

7. The sensor, the adjustment device, and the control unit are disposed at each of the plurality of measurement points, the adjusting device is configured to adjust a quantity to be detected by the sensor; The distribution monitoring system according to claim 1 , wherein the control unit is configured to obtain the detected value and operate the adjustment device.

8. The distribution monitoring system according to claim 7 , wherein the control units arranged at the plurality of measurement points are configured to be able to communicate with each other.

9. A distribution monitoring method comprising the steps of executing each process in the distribution monitoring system according to claim 1.

10. A distribution monitoring program that causes a computer to execute each process in the distribution monitoring system according to claim 1.

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