Configuration method of ice and snow removing and traffic keeping mechanical equipment in regional road network

Abstract

The invention relates to the technical field of road traffic management and maintenance, in particular to a method for configuring ice and snow removing and traffic keeping mechanical equipment in a regional road network, which comprises the following steps of: formulating a standard road section length standard for configuring ice and snow removing mechanical equipment; dividing the roads into different grades based on the requirements of unobstructed and unobstructed road maintenance of different road sections in the regional road network; corresponding ice and snow removing operation time limit requirements are provided according to different grades of roads and different snow conditions; according to the regional characteristics, selecting proper conventional ice and snow removing mechanical equipment types; determining the configuration number of ice and snow removing equipment based on the equipment operation parameters and the actual condition of the road; and in combination with different snow conditions and different grades of roads, an applicable ice and snow removal operation combination mode is calculated, and the number of operation combination tables is determined. According to the method, the configuration number of the equipment is determined by combining the operation parameters of the equipment with the actual condition of the road, so that the allocation of the equipment is more scientific and reasonable, the problem of resource waste is reduced, and the unobstructed and smooth capability of the road in winter is improved.

Description

Technical Field

[0001] This invention relates to the field of road traffic management and maintenance technology, and in particular to a method for configuring de-icing and snow removal machinery and equipment for maintaining traffic flow within a regional road network. Background Technology

[0002] Ensuring road safety in winter is an important task of traffic management. Snow removal and ice melting are crucial for ensuring road traffic safety and smooth flow during winter. The rational allocation of snow removal and ice melting equipment within the regional road network directly affects the speed of road clearing and traffic flow efficiency, and is a key technology for reducing the impact of snow and ice damage on regional traffic.

[0003] Existing methods for configuring snow removal and ice melting equipment largely rely on management experience or simple regional statistics. The standards and configuration methods used vary significantly across different regions, resulting in a lack of scientific basis for the quantity and types of equipment. In practice, some areas experience both under-configuration and over-configuration. Under-configuration leads to delayed road clearing, prolonging snow removal time and impacting public travel and social operations, while over-configuration results in idle and wasted equipment or excessively high transportation and maintenance costs.

[0004] Therefore, there is an urgent need for a method for configuring snow removal and ice melting machinery and equipment for regional road networks. This method should be able to efficiently calculate the type and quantity of equipment based on standardized road segment models and road importance levels. Furthermore, it should be able to study effective equipment operation combinations in combination with different snow conditions and road segment characteristics to solve the problem of unreasonable equipment configuration and improve the ability to maintain smooth traffic flow in winter. Summary of the Invention

[0005] In view of at least one of the above technical problems, the present invention provides a method for configuring de-icing and snow removal mechanical equipment in a regional road network, thereby improving the ability to maintain smooth traffic flow in winter by adopting a reasonable configuration method.

[0006] According to a first aspect of the present invention, a method for configuring de-icing and snow removal machinery and equipment for maintaining traffic flow within a regional road network is provided, comprising:

[0007] Establish standard road section lengths for the configuration of snow and ice removal equipment;

[0008] Based on the requirements for maintaining smooth traffic flow in different sections of the regional road network, roads are divided into different levels;

[0009] For different road grades and different snow conditions, corresponding time limits for snow and ice removal operations are proposed;

[0010] Based on the characteristics of the region, select appropriate types of conventional snow and ice removal machinery and equipment;

[0011] Based on the equipment operation parameters and actual road conditions, determine the number of snow and ice removal equipment to be configured.

[0012] Based on different snow conditions and road grades, calculate the applicable snow and ice removal operation combinations and determine the number of operation combinations.

[0013] In some embodiments of the present invention, the standard road section length is 50 kilometers of two-way full-width driving lanes, excluding special road sections such as emergency lanes, traffic hubs, large bridges, and long longitudinal slopes with a gradient greater than 2.5%.

[0014] In some embodiments of the present invention, the road is divided into different levels, including general sections of expressways, key sections of expressways, general sections of national and provincial trunk roads, and key sections of national and provincial trunk roads.

[0015] In some embodiments of the present invention, the conventional snow and ice removal machinery includes a snow melting agent spreader, snowplows, snow shovels, and snow removal rollers.

[0016] In some embodiments of the present invention, a first combination of the types of snow and ice removal machinery and equipment includes a snow removal roller brush, a snowplow or snowplow blade, and a snow melting agent spreader.

[0017] In some embodiments of the present invention, a second combination of the types of snow and ice removal machinery and equipment includes multiple snowplows and multiple de-icing agent spreaders.

[0018] In some embodiments of the present invention, the calculation formula for determining the number of snow and ice removal equipment is as follows:

[0019] ,

[0020] Wherein, the standard road section area is the area of ​​a 50-kilometer two-way full-width driving lane; the operation time limit is the required traffic duration under different road grades and snowfall levels; the operation width is the actual operation width of the equipment; the effective working time coefficient is 0.5 for the snow melting agent spreader and 0.7 for the other equipment; in the calculation result of the equipment configuration quantity, the configuration quantity of the snow melting agent spreader is rounded up, and the configuration quantity of the other equipment is rounded to the nearest integer.

[0021] In some embodiments of the present invention, determining the number of work sets includes:

[0022] Based on the calculated equipment configuration quantities, the number of sets of equipment for the first type of operation combination should be calculated first. The calculation formula is:

[0023] ,

[0024] in, , , The quantities of snowplow rollers, snowplows or snowplows, and de-icing agent spreaders are specified. , , The required quantities of snow removal rollers, snowplows or snowplows, and de-icing agent spreaders in the first combination;

[0025] Calculate the number of sets of equipment for the second operation combination method from the remaining equipment. The calculation formula is:

[0026] ,

[0027] in, , This refers to the required number of snowplows or snowplows and de-icing agent spreaders in the second combination.

[0028] In some embodiments of the present invention, determining the number of work sets further includes:

[0029] With the goal of maximizing work efficiency, the objective function Z is defined as follows:

[0030] ,

[0031] in, and These represent the unit-time processing efficiency for the first and second job combination methods, respectively. and The number of units for the two job combination methods to be optimized;

[0032] The area to be worked on needs to meet the following requirements:

[0033] ,

[0034] in, and The unit area that can be processed by the first and second combination methods;

[0035] The equipment requirements for both the first and second combination methods must meet the configuration quantity restrictions:

[0036] ,

[0037] ,

[0038] ,

[0039] By using a linear programming algorithm to solve the above constraints and objective function model, the optimal distribution of work sets for the first and second work combination methods can be obtained.

[0040] The beneficial effects of this invention are as follows: By establishing standard road section length standards, this invention provides a standardized calculation basis to ensure that different regions have unified configuration standards. The road classification is based on the requirements of maintaining smooth traffic flow, scientifically classifying roads according to their importance and providing targeted solutions for maintaining traffic flow on road sections of different levels. Simultaneously, considering various snow condition levels, it proposes precise time limits for snow removal and ice melting operations to ensure that equipment scheduling can meet actual road traffic demands. Through analysis of regional characteristics, suitable types of conventional snow removal and ice melting machinery are selected, and the equipment configuration quantity is determined by combining equipment operating parameters with actual road conditions, making equipment allocation more scientific and reasonable. In particular, the calculation of snow and ice removal operation combinations and the number of operation sets fully considers the needs under different snow conditions and road levels, combining equipment configuration quantity with operation combination methods, improving the rationality of equipment configuration, significantly reducing resource waste, and enhancing the ability to maintain smooth traffic flow in winter. Attached Figure Description

[0041] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0042] Figure 1 This is a step diagram illustrating the method for configuring de-icing and snow removal machinery and equipment for maintaining traffic flow within a regional road network, as described in an embodiment of the present invention. Detailed Implementation

[0043] The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments.

[0044] It should be noted that when an element is referred to as being "fixed to" another element, it can be directly attached to the other element or there may be an intervening element. When an element is referred to as being "connected to" another element, it can be directly connected to the other element or there may be an intervening element. The terms "vertical," "horizontal," "left," "right," and similar expressions used herein are for illustrative purposes only and do not represent the only possible implementation.

[0045] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. The terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. The term "and / or" as used herein includes any and all combinations of one or more of the associated listed items.

[0046] like Figure 1 The method for configuring ice and snow removal and traffic maintenance machinery and equipment within the shown area road network includes:

[0047] S10: Establish standard road section length standards for the configuration of snow and ice removal machinery and equipment;

[0048] S20: Based on the requirements for maintaining smooth traffic flow in different road sections within the regional road network, roads are divided into different levels;

[0049] S30: Propose corresponding time limits for snow and ice removal operations for different road grades and different snow conditions;

[0050] S40: Select appropriate types of conventional snow and ice removal machinery and equipment based on regional characteristics;

[0051] S50: Determine the number of snow and ice removal equipment based on equipment operation parameters and actual road conditions;

[0052] S60: Calculate the applicable snow removal operation combination methods based on different snow conditions and road grades, and determine the number of operation combination sets.

[0053] First, a standard road segment length is defined, which is used to calculate and plan the configuration of mechanical equipment. It should be noted that roads can be divided into standard segment lengths of 50 kilometers for two-way full-width lanes, or other more easily calculable integers. This standardized length helps to uniformly measure the configuration requirements of different road segments, allowing different areas to share a common basic calculation standard.

[0054] Furthermore, based on the requirements of regional road networks in terms of ensuring smooth traffic flow, it should be noted that roads can be classified into several typical levels according to their importance and frequency of use, including general and key sections of expressways, and general and key sections of national or provincial trunk roads. It should also be noted that this classification can be based on factors such as traffic volume, accident rate, and road surface conditions, which helps to prioritize roads of different importance.

[0055] For different road conditions and snowfall levels, such as light snow, moderate snow, heavy snow, and blizzards, corresponding time limits for snow removal operations are set. It should be noted that for key sections of highways in heavy snow, a three-hour deadline can be set to complete snow removal operations and restore basic traffic flow. These time limits ensure road capacity and safety.

[0056] Select appropriate snow removal and de-icing machinery and equipment based on regional characteristics and road requirements. This may include conventional equipment such as de-icing agent spreaders, snowplows, and snow removal rollers. It should be noted that when selecting equipment, the operating efficiency, operating costs, and maintenance support available in the region must be considered.

[0057] Based on the equipment's operating speed and width, as well as the actual road surface width, length, and snow conditions, the required number of different types of equipment can be scientifically calculated. The calculation uses formulas to determine the optimal number of equipment, taking into account factors such as operating efficiency, operating time, road area, and effective working time, ensuring that the best results are achieved with minimal resources.

[0058] Based on different snow conditions and road grades, the optimal combination of snow removal operations is analyzed and calculated, and the number of equipment sets is determined. The combination can include multiple pieces of equipment working together to leverage the advantages of each. It should be noted that there are many possible combinations, such as one snowplow roller, one snowplow blade, and one de-icing agent spreader, or selection based on actual road conditions, snow depth, or ice thickness. By optimizing the calculation of the number of equipment sets, rapid and effective snow removal operations can be achieved, avoiding equipment redundancy.

[0059] This invention provides a standardized calculation basis by establishing standard road section lengths, ensuring uniform configuration standards across different regions. Road classification is based on the requirements of maintaining smooth traffic flow, scientifically categorizing roads according to their importance to provide targeted solutions for maintaining traffic flow on different road sections. Furthermore, it proposes precise time limits for snow removal and ice melting operations based on various snow condition levels, ensuring that equipment scheduling can meet actual road traffic demands. Through regional characteristic analysis, suitable types of conventional snow removal and ice melting machinery are selected, and the equipment's configuration quantity is determined by combining equipment operating parameters with actual road conditions, making equipment allocation more scientific and rational. In particular, the calculation of snow and ice removal operation combinations and the number of sets of equipment for each combination fully considers the needs under different snow conditions and road levels, combining equipment configuration quantity with operation combinations to improve the rationality of equipment configuration, significantly reduce resource waste, and enhance the ability to maintain smooth traffic flow in winter.

[0060] Traditional methods for configuring snow removal and ice melting equipment often lack clearly defined standard road section models, relying instead on experience or regional statistics. This approach can easily lead to unscientific equipment configuration. In some areas, equipment is overly concentrated, focusing only on key road sections while neglecting remote ones. Furthermore, special road sections, such as emergency lanes, large bridges, and long, steep slopes, are not separately planned for, resulting in these special road section problems not being addressed promptly and impacting overall traffic efficiency. In some embodiments of this invention, the standard road section length is 50 kilometers of full-width two-way traffic lanes, excluding special road sections such as emergency lanes, traffic hubs, large bridges, and long, steep slopes greater than 2.5%. By standardizing the definition of road segment locations, the configuration of equipment can be planned uniformly with clear basic calculation basis, ensuring the consistency and operability of equipment configuration throughout the region and avoiding waste of resources. For example, the handling of emergency lanes and special road sections can be addressed separately, thus better meeting actual operational needs and road characteristics. This not only improves the utilization efficiency of snow and ice removal equipment but also helps optimize resource allocation and provides reliable support for the rapid recovery of regional traffic under extreme weather conditions.

[0061] Traditional snow removal and de-icing operations often fail to classify the importance and grade of roads based on specific road sections' traffic flow, terrain characteristics, and traffic demands. This can easily lead to uneven resource allocation. For example, excessive equipment may be deployed in low-traffic areas, while high-traffic key sections may suffer from insufficient equipment, resulting in low snow removal efficiency and even affecting the overall operation of regional traffic. In some embodiments of this invention, roads are divided into different grades, including general sections of expressways, key sections of expressways, general sections of national and provincial trunk roads, and key sections of national and provincial trunk roads. By analyzing traffic flow, socio-economic importance, accident risk level, and regional geographical characteristics, roads are scientifically divided into four grades, which can maximize the reflection of the differentiated characteristics of different road sections. For example, key sections of expressways usually carry high traffic flow and are transportation hubs connecting regions, thus requiring higher snow removal and de-icing resources and receiving priority. On the other hand, general sections of national and provincial trunk roads may face lower traffic flow but have complex terrain or severe snow conditions. Classifying roads based on these factors ensures the accuracy of resource allocation. By using a structured hierarchical classification, the quantity of mechanical equipment and operational needs are precisely matched. Resources are prioritized for key road sections, while secondary road sections are still handled reasonably, ensuring the overall balance and efficiency of traffic in the regional road network.

[0062] Single-machine operation mode not only struggles to meet the efficiency demands of complex and ever-changing winter road conditions, but may also suffer from limitations in equipment functionality, resulting in inadequate comprehensiveness and thoroughness in snow and ice removal operations. In some embodiments of this invention, conventional snow and ice removal machinery includes a de-icing agent spreader, snowplows, snow shovels, and snow removal rollers. De-icing agent spreaders can quickly reduce the risk of road icing and are suitable for handling light to moderate snowfall; snowplows and snow shovels can remove snow from the road surface, and are particularly effective for clearing large areas or thick snow accumulations; while snow removal rollers can further enhance ground cleanliness and adapt to various complex snow conditions.

[0063] The first combination of snow and ice removal equipment includes one snow removal roller brush, one snowplow or snowplow blade, and one de-icing agent spreader.

[0064] The second combination of snow and ice removal equipment includes multiple snowplows and multiple de-icing agent spreaders.

[0065] Compared with traditional methods, the combination of methods based on scientific analysis of snow conditions provides a more flexible strategy for snow and ice removal operations. It can adjust the use of equipment in a timely manner according to real-time weather changes, snow volume, and road grade, and select the most suitable combination method in different situations. This helps to optimize resource allocation, reduce energy consumption, and improve operational efficiency. The diversification of these combination methods avoids resource bottlenecks caused by over-reliance on a single piece of equipment, thereby improving the overall snow and ice removal capacity and efficiency, ensuring that roads are restored to normal in the shortest possible time, and guaranteeing winter traffic safety and smooth flow.

[0066] In some embodiments of the present invention, the quantity of snow and ice removal equipment is determined by the following formula:

[0067] ,

[0068] The standard road section area is the area of ​​a 50-kilometer two-way full-width driving lane; the operation time limit is the required traffic duration under different road grades and snowfall levels; the operation width is the actual operation width of the equipment; the effective working time coefficient is 0.5 for the snow melting agent spreader and 0.7 for the other equipment; in the calculation results of the equipment configuration quantity, the configuration quantity of the snow melting agent spreader is rounded up, and the configuration quantity of the other equipment is rounded to the nearest integer.

[0069] Specifically, the value for the de-icing agent spreader is 0.5, and the value for the other equipment is 0.7. This is because the operation of the de-icing agent spreader is a cyclical process of operation and refueling; snowplows, snow shovels, snow removal rollers, and other equipment do not require refueling, but refueling, turning around, and relocation still take time. To ensure the reliability of the configuration scheme, this invention, through statistical analysis of typical operating scenarios, selected 0.5 and 0.7, which are lower than the median, as the effective working coefficients.

[0070] Compared with traditional empirical methods, the combination of scientific parameters and the application of standardized models enable more precise configuration of mechanical equipment. This approach minimizes resource waste while ensuring that snow and ice removal needs are met quickly and effectively. This data-driven calculation method has significant effects in practical applications, accelerating road clearing, improving traffic flow efficiency, providing strong technical support for coping with complex winter snow conditions, and significantly reducing problems caused by under- or over-configuration. It also enhances equipment utilization efficiency and the overall capacity for winter road management.

[0071] In some embodiments of the present invention, determining the number of work combination sets includes:

[0072] Based on the calculated equipment configuration quantities, the number of sets of equipment for the first type of operation combination should be calculated first. The calculation formula is:

[0073] ,

[0074] in, , , The quantities of snowplow rollers, snowplows or snowplows, and de-icing agent spreaders are specified. , , The required quantities of snow removal rollers, snowplows or snowplows, and de-icing agent spreaders in the first combination;

[0075] Calculate the number of sets of equipment for the second operation combination method from the remaining equipment. The calculation formula is:

[0076] ,

[0077] in, , This refers to the required number of snowplows or snowplows and de-icing agent spreaders in the second combination.

[0078] This invention employs a more precise calculation method to determine the number of equipment sets required for snow and ice removal operations, enabling scientific calculation of equipment combinations based on actual equipment configurations. First, by determining the number of equipment sets for the first operational combination, the optimal combination suitable for current resources can be precisely selected, thus rationally allocating the quantity of snowplows, snowplows or snow shovels, and de-icing agent spreaders. After determining the first combination, the number of equipment sets for the second combination is calculated from the remaining equipment, ensuring that the usage quantity of each type of equipment is optimized, allowing for full utilization of remaining resources. This two-step calculation method not only accurately matches the equipment configuration quantity but also allows different combinations to dynamically adapt to complex and diverse operational needs. Compared to traditional methods, this systematic calculation method improves the flexibility and efficiency of equipment combinations through formulaic processing, making resource scheduling more rational, enabling timely responses to weather changes and operational needs, avoiding potential resource waste from simple combinations, and ensuring maximum equipment utilization.

[0079] In some embodiments of the present invention, determining the number of work combination sets further includes:

[0080] With the goal of maximizing work efficiency, the objective function Z is defined as follows:

[0081] ,

[0082] in, and These represent the unit-time processing efficiency for the first and second job combination methods, respectively. and The number of units for the two job combination methods to be optimized;

[0083] The area to be worked on needs to meet the following requirements:

[0084] ,

[0085] in, and The unit area that can be processed by the first and second combination methods;

[0086] The equipment requirements for both the first and second combination methods must meet the configuration quantity restrictions:

[0087] ,

[0088] ,

[0089] ,

[0090] By using a linear programming algorithm to solve the above constraints and objective function model, the optimal distribution of work sets for the first and second work combination methods can be obtained.

[0091] Compared to traditional methods, this invention uses a linear programming algorithm to solve for the objective function and constraints, obtaining the optimal equipment distribution for two operation combinations. This overcomes the shortcomings of allocating equipment based on experience or pre-set methods, further improving the scientific rigor, efficiency, and adaptability of the calculation scheme. By dynamically adjusting the number of equipment sets for each combination, resource utilization can be optimized from a global perspective, ensuring maximum efficiency in snow removal and ice melting, shortening operation time, reducing energy consumption, meeting actual road traffic needs, and coping with complex and changing extreme weather conditions.

[0092] Those skilled in the art should understand that this invention is not limited to the above embodiments. The embodiments and descriptions in the specification are merely illustrative of the principles of the invention. Various changes and modifications can be made to this invention without departing from its spirit and scope, and all such changes and modifications fall within the scope of the invention as claimed. The scope of protection of this invention is defined by the appended claims and their equivalents.

Claims

1. A method for configuring a mechanical equipment for deicing and snow removal in a regional road network, characterized in that, include: Establish standard road section lengths for the configuration of snow and ice removal equipment; Based on the requirements for maintaining smooth traffic flow in different sections of the regional road network, roads are divided into different levels; For different road grades and different snow conditions, corresponding time limits for snow and ice removal operations are proposed; Based on the characteristics of the region, select appropriate types of conventional snow and ice removal machinery and equipment; Based on the equipment operation parameters and actual road conditions, determine the number of snow and ice removal equipment to be configured. Based on different snow conditions and road grades, calculate the applicable snow and ice removal operation combinations and determine the number of operation combinations.

2. The method for configuring the deicing and snow removal equipment in the regional road network according to claim 1, characterized in that, The standard road section is 50 kilometers long with two-way full-width driving lanes, excluding emergency lanes, traffic hubs, large bridges, and long longitudinal slopes with a gradient greater than 2.5%.

3. The method for configuration of mechanical equipment for deicing and snow removal in regional road network according to claim 1, characterized by the fact that, The road classification into different levels includes general sections of expressways, key sections of expressways, general sections of national and provincial trunk roads, and key sections of national and provincial trunk roads.

4. The method for configuration of mechanical equipment for deicing and snow removal in regional road network according to claim 1, characterized by the fact that, The conventional snow and ice removal machinery and equipment includes a snow melting agent spreader, snowplows, snow shovels, and snow removal rollers.

5. The method for configuration of mechanical equipment for deicing and snow removal in regional road network according to claim 4, characterized by the fact that, The first combination of the snow and ice removal machinery and equipment includes one snow removal roller brush, one snowplow or snowplow blade, and one de-icing agent spreader.

6. The method for configuration of deicing and snow removal equipment in regional road network according to claim 5, characterized by the fact that, The second combination of the snow and ice removal machinery and equipment includes multiple snowplows and multiple de-icing agent spreaders.

7. The method for configuration of deicing and snow removal equipment in regional road network according to claim 6, characterized by the fact that, The formula for determining the required quantity of snow and ice removal equipment is as follows: ， Wherein, the standard road section area is the area of ​​a 50-kilometer two-way full-width driving lane; the operation time limit is the required traffic duration under different road grades and snowfall levels; the operation width is the actual operation width of the equipment; the effective working time coefficient is 0.5 for the snow melting agent spreader and 0.7 for the other equipment; in the calculation result of the equipment configuration quantity, the configuration quantity of the snow melting agent spreader is rounded up, and the configuration quantity of the other equipment is rounded to the nearest integer.

8. The method for configuration of mechanical equipment for deicing and snow removal in regional road network according to claim 7, characterized by the fact that, The determination of the number of work combination sets includes: Based on the calculated number of equipment configurations, first, the number of sets of the first job combination mode is calculated in priority The calculation formula is: ， wherein, , , are the number of snow removal brushes, snow plows or snow shovels, snow-melting agent spreaders, respectively, , , are the number of snow removal brushes, snow plows or snow shovels, snow-melting agent spreaders, respectively, in the first combination; calculating the number of sets from the remaining equipment for the second combination of jobs The calculation formula is: ， in, , This refers to the required number of snowplows or snowplows and de-icing agent spreaders in the second combination.

9. The method for configuring de-icing and snow removal machinery and equipment for maintaining traffic flow within a regional road network according to claim 8, characterized in that, The determination of the number of work sets also includes: With the goal of maximizing work efficiency, the objective function Z is defined as follows: ， in, and These represent the unit-time processing efficiency for the first and second job combination methods, respectively. and The number of units for the two job combination methods to be optimized; The area to be worked on needs to meet the following requirements: ， in, and The unit area that can be processed by the first and second combination methods; The equipment requirements for both the first and second combination methods must meet the configuration quantity restrictions: ， ， ， By using a linear programming algorithm to solve the above constraints and objective function model, the optimal distribution of work sets for the first and second work combination methods can be obtained.

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