An Integrated QFD and TRIZ Methodology for Innovative Product Design

: The paper presents a methodology that integrates Quality-Function Deployment (QFD) and the Theory of Inventive Problem Solving (TRIZ) used for generating innovative solutions to design problems. It proposes a modiﬁed analytical House of Quality (HoQ) to reveal and prioritize contradictions between design parameters and between customer requirements. The proposed methodology extends the traditional HoQ and eliminates the need for the TRIZ’s Function Analysis (FA) procedure. Function Analysis involves identifying the functions of a product or process elements and trying to ﬁnd contradictions between the system elements. The usability of the proposed method is illustrated through the redesign of an assembly workshop to overcome major problems addressed by the various stakeholders of the process. The new design of the assembly workshop helps reduce the number of work stages from 3 to 1, reduce the number of workers from 4 to 2, decrease rework, decrease the percentage of damaged products, enhance workplace ergonomics and improve the overall system efﬁciency.


Introduction
These days, the design process is a complex multi-dimensional process that may vary considerably with the product or process being designed.The design process has evolved over the past 200 years, starting from one person designing and manufacturing a simple product, such as a wooden chair, to multi-organization efforts designing a complex and complicated product [1].The improvement in the design process over the years helped the designers to overcome complex challenges in modern product realization, such as the development of new creative product functions.The quality of design can be measured by the ability of the designer to translate customer(s) requirements to design parameters and characteristics that shape product features and specifications [2][3][4].Over the years, designers used Quality Function Deployment (QFD) to organize the design development process.Moreover, many designers conduct functional analysis utilizing the Altshuller's Theory of Inventive Problem Solving (TRIZ) innovation principles of problem solving to overcome design contradictions and to develop resolution alternatives [2,5].The many toolkits of TRIZ are widely used today in the development and design of products, services, and business processes.Therefore, integrating QFD and TRIZ can result in a more useful design methodology with added advantages.
QFD is a design decision making process that aims to enhance quality assurance that allows for comparison against competitors and reducing development time and cost [6].QFD is a systematic customer-driven technique used in a wide variety of industries to link customer requirements to design specifications and design targets using the House of Quality (HoQ) as a primary tool for mapping and analyzing requirements and design targets [2][3][4].A traditional QFD consists of 8 steps to build the HoQ matrix.As a result, HoQ presents a correlation summary of design requirements, parameters, benchmarks, target measures, and technical difficulties.QFD was first introduced in the 1960s, was first utilized in 1972 [7], and since then has been widely used in industry worldwide.Min and Kim [8] introduced a time dimension into customer requirements to consider the longitudinal effect on customer requirements and the timing of their selection.Kwong and Chen [9] presented a fuzzy QFD model to correlate customer requirements and engineering characteristics.Chen and Weng [10] used fuzzy logic to measure the levels of fulfillment of each customer requirement in QFD, considering capacity and market constraints.Hana and Kimb [11] utilized linear partial ordering to account for incomplete information in prioritizing engineering characteristics in QFD.Lai and Xie [12] integrated competitors' information in their method for ranking customer requirements.Delice and Gungor [13] combined mixed integer linear programming and Kano model for QFD-based optimization of solutions.Zheng and Chin [14] integrated QFD and process capability index for process elements in an optimization model for process quality planning taking into consideration technical, time, and cost constraints.
TRIZ is a structured problem-solving approach that builds on the idea that similar problems were faced and solved by others before.Therefore, a designer can systematically utilize TRIZ solution patterns in solving elements of encountered problems [5].Problem solvers, including designers and inventors, can rely on TRIZ patterns to solve problems creatively and reduce development time [15].Initially, the TRIZ database of solution patterns of evolution was realized by Genrich Altshuller through his study of 40,000 engineering systems and technologies patents [5].Today, over 2.5 million patents are included in the TRIZ database with various toolkits for inventive problem solving [2].TRIZ involves seven main concepts and tools, which are the concept of Contradictions, the concept of Resources, the concept of Ideal Final Result (IFR), the Patterns of Evolution, the Standard Solutions, Algorithm of Inventive-Problem Solving (ARIZ), and the 40 Inventive principles and contradiction matrix.The most widely used concept is that of the 40 inventive principles utilized with the contradiction matrix.Table 1 shows the list of the 40 inventive principles used for finding a concept for a solution, and the TRIZ typical standard features of the Contradiction Matrix [2,[16][17][18].Tong, Cong, and Lixiang [19] presented a patent classification to help TRIZ users identify related patents based on TRIZ principles.Chang and Chen [20] presented an eco-innovative design tool, which consolidates TRIZ and uses the contradiction matrix to assist designers in making related decisions.Kim [21] modified a TRIZ based process design procedure to enhance safety in the design of chemical processes, considering the various process parameters.Robles, Negny, and Lann [22,23] integrated Case-Based Reasoning and TRIZ to reduce design effort and time in chemical engineering.One of the recent developments of TRIZ includes the formulation and prioritization the functional requirements.Russo and Spreafico [24] proposed a multilevel login method using functional structure analysis to develop design solutions using TRIZ principles.
Several researchers integrated QFD and TRIZ to utilize the advantages of both techniques and accelerate the design process.Li et al. [25] proposed a three-phase QFD and TRIZ methodology to enhance the interaction between alarm systems and operators.The authors applied QFD to identify design parameters, the parameters are then translated to standard TRIZ features, and finally, the contradiction matrix is used to resolve contradictions.Frizziero et al. [26] and Caligiana et al. [27] developed strategies based on QFD and TRIZ analysis for the validation of a methodology for the design for hybrid manufacturing applied to direct open molds.Naveiro and Oliveira [28] used TRIZ and QFD to build a model to optimize design parameters during concept development systematically.Donnici et al. [29] used combined TRIZ, QFD, and Six Sigma for an innovative design approach.They applied the proposed method to reduce the impact of cigarette butts on the environment.Lyu et al. [30] proposed a hybrid approach integrating QFD with the Kano model to define consumer requirements and improve market competitiveness.Carneiro et al. [31] integrated QFD and fuzzy logic for product development.Their approach was applied to the product development of AGV structures.The proposed model starts by surveying published patents that relate to the design required.Related design parameters and the corresponding customer requirements are then extracted from the patent documents, and customers are asked to weigh the closeness of their requirements to the ones extracted.The HoQ is then used to identify the relationships between the various requirements and parameters, and TRIZ is used to resolve revealed contradictions.Positive scores are given to design parameters and features that, if integrated to conceptual design, would increase customer satisfaction.The resulting conceptual design will have to-date technical features with minimal contradictions.Wang [32] used an integrated QFD, TRIZ, and Analytic Hierarchy Process (AHP) model to improve the design of smartphones to satisfy the various requirements of users.The author introduced several examples to validate their findings.Francia et al. [33] integrated QFD and TRIZ into computer aided drafting in their project PrinterCAD.The study targeted applying additive and subtractive techniques in open molding design and manufacturing using 3D printing.Wang, Lee, and Trappey [34] integrated QFD, TRIZ, and service blueprint approaches in a cloud-based production service concept applied to meal services.The proposed intelligent structure aimed to improve the performance of service originations.Vinodh, Kamala, and Jayakrishna [35] used environmentally conscious quality function deployment (ECQFD), TRIZ, and AHP in the development of automotive parts.Zhang, Yang, and Liu [36] proposed a 4-step model, customer satisfaction needs (CSNs), QFD, TRIZ, and fuzzy logic model, for ergonomic design and evaluation.The model is applied to the innovative design and evaluation of kitchen stoves.Kim and Yoon [37] presented a QFD and TRIZ based approach to resolve contradictions between the product and service components in a product-service system (PSS).Wang et al. [38] developed a software tool, TRIZ matrix, based on their proposed algorithm to integrate QFD and TRIZ.The authors demonstrated the usability of the software through a case study addressing the airbag design problem.Yamashina, Ito, and Kawada [39] proposed a method, Innovative Product Development Process (IPDP), to integrate QFD with TRIZ.The hierarchical structure of IPDP reveals the function or mechanism in a product that requires most technical innovation based on customer requirements, and contradictions are then identified and resolved by applying TRIZ.
Table 1.TRIZ principles of innovation and standard features [18].

Integrating QFD and TRIZ Method
The modified HoQ facilitates the integration of QFD and TRIZ through the identification of aggregated importance values for design parameters based on customer requirements.Moreover, it incorporates technical contradictions from the HoQ to facilitate their resolution through TRIZ innovation principles.Figure 1 shows the 9 rooms of the proposed HoQ incorporating 9 steps of development, and Figure 2 illustrates the modified HoQ with all notations.
(PSS).Wang et al. [38] developed a software tool, TRIZ matrix, based on their proposed algorithm to integrate QFD and TRIZ.The authors demonstrated the usability of the software through a case study addressing the airbag design problem.Yamashina, Ito, and Kawada [39] proposed a method, Innovative Product Development Process (IPDP), to integrate QFD with TRIZ.The hierarchical structure of IPDP reveals the function or mechanism in a product that requires most technical innovation based on customer requirements, and contradictions are then identified and resolved by applying TRIZ.

Integrating QFD and TRIZ Method
The modified HoQ facilitates the integration of QFD and TRIZ through the identification of aggregated importance values for design parameters based on customer requirements.Moreover, it incorporates technical contradictions from the HoQ to facilitate their resolution through TRIZ innovation principles.Figure 1 shows the 9 rooms of the proposed HoQ incorporating 9 steps of development, and Figure 2 illustrates the modified HoQ with all notations.Step 1. Identify customers (Who): Customers or customer groups Cn (n = 1, 2, …, N) are identified.Using Likert scale, each Cn is assigned an absolute or relative weight WCn based on their demand on the product, and weights are then normalized accordingly.
Step 3. Determine importance of customer requirements (Who vs. What): Using Likert scale, customers may rate the absolute or relative importance of their requirements.Let min be the weight that customer Cn assigned to requirement Ri, the total adjusted weight assigned to requirement Ri by all customers equals  ∑   , and the normalized weight of requirement Ri can then be computed as   ∑  ⁄ .Step 1. Identify customers (Who): Customers or customer groups C n (n = 1, 2, . .., N) are identified.Using Likert scale, each C n is assigned an absolute or relative weight WC n based on their demand on the product, and weights are then normalized accordingly.
Step 3. Determine importance of customer requirements (Who vs. What): Using Likert scale, customers may rate the absolute or relative importance of their requirements.Let m in be the weight that customer C n assigned to requirement R i , the total adjusted weight assigned to requirement R i by all customers equals MR i = ∑ N n m in WC n , and the normalized weight of requirement R i can then be computed as WR i = MR i /∑ I i MR i .Step 4. Benchmarking (Now): Identify competing products (Now) and determine how customers perceive the competition ability to meet each requirement (Now vs. what).Let H k (k = 1, 2, . .., K) represents competing products, customers assess each product H k for each requirement R i using Likert scale as weight s ik .The total weight for H k for all requirements R i can then be given by SD k = ∑ I i s ik WR i .
Step 5. Generate design specifications (How): Measurable design specifications and parameters, P j (j = 1, 2, . .., J), are developed in correlation with each customer requirement R i .The generated specifications represent a translation of the requirements to a design problem with each design parameter having a target direction of improvement; to maximize (↑) or to minimize (↓), and a met target is denoted by ( ).Step 6. Relate customer requirements to design parameters (What vs. How): The step measures the impact of changing, increasing or decreasing, each design parameter P j on each customer requirement R i as foreseen by the designer.Let x ij denote the strength of the impact of changing P j on R i , the designer may utilize Likert scale to express x ij in a range from "No" to "Very strong" impact of a P j on R i .The total impact of a design parameter j equals XP j = ∑ I i x ij WR i , and the normalized weight of design parameter P j can then be computed as WP j = XP j /∑ J j XP j .A high value of WP j indicates a high influence of design parameter P j on customer satisfaction.
Step 7. Set design target values (How Much): Denote by v kj the level of design parameter P j in competing product H k .Using "proper" methods, obtain v kj for all P j and H k , especially P j with higher WP j values.Target values, T j , for each design parameter P j are then set considering available technical and nontechnical capacities.
Step 8. Determine the relationships between design parameters (How vs. How): Let P j and P j , j = j , be two design parameters, let T j and T j be the target values for P j and P j respectively, and denote by CP jj the correlation between P j and P j .A positive correlation between P j and P j implies that as P j approaches its target T j , P j also approaches its target T j .A negative correlation then implies that as P j approaches its target T j , P j diverts away from its target T j , and vice versa.CP jj can be expressed using Likert scale with negative and positive numeric, range from −3 to 3, to indicate a range from "Strong negative" to "Strong positive" correlations.Negative correlations imply contradictions between design parameters, features or customer requirements.A good design optimizes design parameters to enhance value and minimize negative effects.Denote by CI jj , CI jj = 100 × WP j × WP j × CP jj , the contradiction index between P j and P j , j = j ; only negative CP jj are considered.A high absolute value of CI jj indicate a more important contradiction to be resolved.A rank order and/or a threshold value, CCV j = 200/J 2 , where J is the number of design parameters, can then be used to prioritize contradictions.That is, priority is given to a higher ranked contradiction with high absolute value of CI jj above the CCV j .Contradictions are resolved using TRIZ.
Step 9. Determine the relationships between customer requirements (What vs. What): Following the resolve of contradictions between design parameters, this step aims to determine the tradeoffs between customer requirements and resolve contradictions using TRIZ.Let R i and R i , i = i , be two customer requirements, and denote by CR ii the correlation between R i and R i .A positive correlation between R i and R i implies that as R i approaches its optimum, R i also approaches its optimum.A negative correlation then implies that as R i approaches its optimum, R i diverts away from its optimum, and vice versa.CR ii can be expressed using Likert scale with negative and positive numeric, range from −3 to 3, to indicate a range from "Strong negative" to "Strong positive" correlations, and negative correlations imply contradictions between customer requirements.A good design maximizes customer satisfaction by optimizing its effect on customer requirements.Denote by CI ii , CI ii = 100 × WR i × WR i × CR ii , the contradiction index between R i and R i , i = i ; only negative CR ii are considered.A high absolute value of CI ii indicate a more important contradiction to be resolved.A rank order and/or a threshold value, CCV i = 200/I 2 , where I is the number of customer requirements, can then be used to prioritize contradictions.That is, priority is given to a higher ranked contradiction with high absolute value of CI ii above the CCV i .contradictions.That is, priority is given to a higher ranked contradiction with high absolute value of CIii′ above the CCVi.The TRIZ Contradiction Matrix is utilized here to resolve the contradictions generated from the modified HoQ without the need for Functional Analysis.Figure 3 summarizes the procedure for resolving the contradictions.The procedure surpasses the conventional function analysis that involves identifying the functions of the system elements and trying to find contradictions between the system elements.Starting from the more important contradiction between design parameters, the closest improving and worsening standard features are identified, Table 1, and the recommended TRIZ principles, or concept ideas, to resolve the contradiction are extracted from the Contradiction Matrix.Concept ideas, especially repeated ones, are further analyzed for implementation, and the design is modified accordingly.The modified design is then tested for contradictions between the customer requirements, and the unresolved contradictions are resolved in the same way as it is used to resolve contradictions between design parameters.The TRIZ Contradiction Matrix is utilized here to resolve the contradictions generated from the modified HoQ without the need for Functional Analysis.Figure 3 summarizes the procedure for resolving the contradictions.The procedure surpasses the conventional function analysis that involves identifying the functions of the system elements and trying to find contradictions between the system elements.Starting from the more important contradiction between design parameters, the closest improving and worsening standard features are identified, Table 1, and the recommended TRIZ principles, or concept ideas, to resolve the contradiction are extracted from the Contradiction Matrix.Concept ideas, especially repeated ones, are further analyzed for implementation, and the design is modified accordingly.The modified design is then tested for contradictions between the customer requirements, and the unresolved contradictions are resolved in the same way as it is used to resolve contradictions between design parameters.

Results and Discussion of Assembly Workshop Redesign
The case study demonstrates the use of the proposed TRIZ and QFD methodology in the redesign of an assembly workstation used for installing rubberized steel bushings into sockets of track links of armored vehicles (Figure 4).Track links are cast from steel alloys, each link contains 5 sockets.The bushings simplify the assembly of the track onto the vehicle, protect track axles from breakage, absorb impacts, and reduce noise during travel .
The assembly workshop involves three main processes that are carried out on separate devices.Broaching: track links are treated on a special hydraulic broaching machine to improve the roundness of the sockets and decrease the sockets' inner surface roughness.The broaching machine pulls a stepped broaching rod through the track link socket.Since the sockets are on the two sides of the link, the broaching operation is carried out twice for each link.Following transportation to the bushing assembly station, the track link is

Results and Discussion of Assembly Workshop Redesign
The case study demonstrates the use of the proposed TRIZ and QFD methodology in the redesign of an assembly workstation used for installing rubberized steel bushings into sockets of track links of armored vehicles (Figure 4).Track links are cast from steel alloys, each link contains 5 sockets.The bushings simplify the assembly of the track onto the vehicle, protect track axles from breakage, absorb impacts, and reduce noise during travel.
The assembly workshop involves three main processes that are carried out on separate devices.Broaching: track links are treated on a special hydraulic broaching machine to improve the roundness of the sockets and decrease the sockets' inner surface roughness.The broaching machine pulls a stepped broaching rod through the track link socket.Since the sockets are on the two sides of the link, the broaching operation is carried out twice for each link.Following transportation to the bushing assembly station, the track link is fixed on the bushing installation using a hydraulic press machine, a horizontal hydraulic piston-cylinder actuator, to assemble rubberized bushings into the sockets.Rubberized bushings have octagonal bores in which octagonal track axles are inserted to join links to each other.Bushings of one link must be press-fit into their sockets at a specific angular orientation (at 10-degree rotation in this case) relative to the bushings of the preceding link.As a result, any two adjacent links in a track segment will have a 10-degree angular orientation relative to each other (Figure 5).This facilitates the assembly of track segments on the vehicle.For each link, five piston strokes are required to insert the 5 bushings into sockets, where the link requires re-fixturing twice to complete the operation.Ready links are transported to the track assembly machine where two links are fixed onto the assembly workstation and are joined by inserting the octagonal-shape axle through the sockets of the two links.The process continues until a prespecified number of links are connected to form a track segment.fixed on the bushing installation using a hydraulic press machine, a horizontal hydraulic piston-cylinder actuator, to assemble rubberized bushings into the sockets.Rubberized bushings have octagonal bores in which octagonal track axles are inserted to join links to each other.Bushings of one link must be press-fit into their sockets at a specific angular orientation (at 10-degree rotation in this case) relative to the bushings of the preceding link.As a result, any two adjacent links in a track segment will have a 10-degree angular orientation relative to each other (Figure 5).This facilitates the assembly of track segments on the vehicle.For each link, five piston strokes are required to insert the 5 bushings into sockets, where the link requires re-fixturing twice to complete the operation.Ready links are transported to the track assembly machine where two links are fixed onto the assembly workstation and are joined by inserting the octagonal-shape axle through the sockets of the two links.The process continues until a prespecified number of links are connected to form a track segment.A preliminary study showed that the existing process of track assembly uses a relatively inefficient technology characterized by low productivity, heavy manual effort, and excessive material handling operations.The recognized design problems include: 1.The broaching rod breaks frequently and gets jammed inside the sockets.This leads to discarding both the broaching rod and the damaged link.A broaching rod costs $900.Failure analysis revealed that causes of failure include unacceptable levels of fixed on the bushing installation using a hydraulic press machine, a horizontal hydraulic piston-cylinder actuator, to assemble rubberized bushings into the sockets.Rubberized bushings have octagonal bores in which octagonal track axles are inserted to join links to each other.Bushings of one link must be press-fit into their sockets at a specific angular orientation (at 10-degree rotation in this case) relative to the bushings of the preceding link.As a result, any two adjacent links in a track segment will have a 10-degree angular orientation relative to each other (Figure 5).This facilitates the assembly of track segments on the vehicle.For each link, five piston strokes are required to insert the 5 bushings into sockets, where the link requires re-fixturing twice to complete the operation.Ready links are transported to the track assembly machine where two links are fixed onto the assembly workstation and are joined by inserting the octagonal-shape axle through the sockets of the two links.The process continues until a prespecified number of links are connected to form a track segment.A preliminary study showed that the existing process of track assembly uses a relatively inefficient technology characterized by low productivity, heavy manual effort, and excessive material handling operations.The recognized design problems include: 1.The broaching rod breaks frequently and gets jammed inside the sockets.This leads to discarding both the broaching rod and the damaged link.A broaching rod costs $900.Failure analysis revealed that causes of failure include unacceptable levels of A preliminary study showed that the existing process of track assembly uses a relatively inefficient technology characterized by low productivity, heavy manual effort, and excessive material handling operations.The recognized design problems include: 1.
The broaching rod breaks frequently and gets jammed inside the sockets.This leads to discarding both the broaching rod and the damaged link.A broaching rod costs $900.Failure analysis revealed that causes of failure include unacceptable levels of out-of-roundness in link sockets and misalignment of sockets axes.These defects, in turn, are caused by defective mold and inadequate casting process.

2.
The hydraulic piston rod in the bushing installation operation loses its standard angular orientation frequently and requires recalibration.

3.
Control knobs of the hydraulic press at the bushing assembly workstation require the operator to use both hands.This slows down the operation and causes fatigue to the worker.

4.
A high number of rubberized bushings are damaged during the pressing operation.
A bushing cost is about $12.This damage occurs when the hydraulic piston just starts to press the bushing into the socket.

5.
The bushing assembly operation is of low productivity and forms a bottleneck.The productivity is about 60 links per shift.6.
Excessive material handling within and between the three work stages.
This case study aims to improve the overall efficiency of the assembly workshop through the redesign of the assembly operations.

Building the Modified HoQ for the Workshop
Step 1: Identify the customers The customers of the assembly process are classified into four groups: (1) Managers (C 1 ): those who take the responsibility to manage the workshop, (2) Workers (C 2 ): those who work in the assembly workstation, (3) Consumers (C 3 ): those who will buy the assembled product, and (4) Repair (C 4 ): those who will disassemble and repair the track links.Importance weights of customer groups are tentatively assigned by researchers on a scale from 1 to 10, and are then normalized as shown in Table 2. Step 2: Determine the Customer Requirements Informal interviews with the customers were conducted to determine their requirements, as summarized in Table 3.Moreover, the overall procedures and situation in the workshop were observed and evaluated by the researchers.

Step 3: Determine the relative importance of the customer requirements
The importance of the customer requirements (m in ) was expressed based on the scale: 1 (not important), 2 (very low), 4 (low), 6 (moderate), 8 (high) and 10 (very high).The relative importance (MR i ) and the importance weight (WR i ) of the customer requirements were then calculated as in Table 4.
Step 4: Identify and evaluate the competition Since no similar assembly process was located near to the research region, the currently existing workshop is considered as the competing product or system.The existing workshop was assessed relative to the requirements based on the scale: 1 (very poor), 3 (poor), 5 (neutral), 7 (good) and 10 (excellent).The overall satisfaction degree (SD k ) of the existing workshop was calculated, as shown in the last column of Table 4.The overall satisfaction degree of the existing workshop design is estimated at 3.1, which translates to a "low" satisfaction level.The Overall satisfaction Degree (SD k ) 3.1 In steps 5 and 6, the designer needs to identify the design specifications based on the knowledge of the process, and then correlate these specifications to the customers' requirements.Then in steps 7 and 8, the designer needs to set the target values of the specifications that satisfy the customer's requirements and examine the correlation between the design specifications in order to identify the contradictions.

Step 5: Generate design specifications
The design parameters for the workshop were generated by analyzing the workshop processes and customer requirements.The units of measurement and the direction of improvements of the design parameter were also determined as shown in Table 5. Point up arrow: The higher the better.Point down arrow: Lower is better.
Step 6: Relate customer requirements to design parameters The relationships between design parameters and customer requirements were determined based on the scale: 0 (no relation), 1 (very weak), 3 (weak), 5 (moderate), 7 (strong) and 9 (very strong).The weights of the design parameters were calculated by analyzing to what extend each design parameter could technically be influenced by and correlated with the customer requirements.The resulting relationships between requirements and parameters (x ij ) and the parameter weight (WP j ) are shown in Table 6.Step 7: Set target values for design parameters The existing workshop machines and the output product were assessed relative to the design parameters, and the target values were set based on these measurements as shown in Table 7. Step 8: Determine the relationships between design parameters The relationships between the design parameters (CP jj ) were determined based on the scale: −3 (strong negative), −1 (negative), 0 (no relation), 1 (positive) and 3 (strong positive), and are shown at the bottom left half of Table 8.The contradiction index value (CI jj ) for the negative relationships or contradictions were calculated and listed in the upper right half of Table 9.The contradiction threshold value (CCV j ) for the design parameters is estimated at 0.78, and cells with absolute contradiction index values greater than 0.78 are highlighted.
−1 Dark grey: no relation between the same parameter; Light grey: means this is a critical contradiction.Table 9.The customer requirements relationships for the assembly workshop.
Dark grey: no relation between the same parameter; Light grey: means this is a critical contradiction.
Step 9: Determine the relationships between customers' requirements The relationships between the customer requirements (CR ii ) and contradiction index values (CI ii ) were determined using the same scale in the previous step, and are shown in Table 9.The contradiction critical value (CCV i ) for the customer requirements was estimated at 1.18, and critical contradictions are highlighted.
Figure 6 shows the complete modified HoQ for the assembly workshop based on obtained results.
The proposed methodology to solve the contradictions using the Contradiction Matrix is applied to resolve the critical contradictions: 1.

"Press Speed" vs. "Percent Bushings Damaged"
When the press speed is increased, the rubberized bushings get damaged at the beginning of the pressing process.So, the improved parameter is "Press Speed" and the worsened parameter is "Percent Bushings Damaged".The standard feature closest to the improved parameter is "9.Speed", and is "31.Object-Generated harmful factors" for the worsened parameter.Therefore, using the Contradiction Matrix, the numbers of the recommended inventive principles are 2: Extraction, 24: Mediator, 35: Parameter Change, and 21: High Speed (Rush Through).
The Mediator principle leads us to think about using an auxiliary part to facilitate the insertion process and avoid damaging the rubber.This mediator can be a steel bar with a truncated conical hole, fixed to the machine with a gradually decreasing inner diameter; the large diameter is greater than the bushing diameter and the small one is less than the socket bore diameter.The inner surface of the cone must be sufficiently smooth to reduce friction during insertion.Alternatively, thinking the Parameter Change principle, the idea can be to heat the rubberized bushings within the elastic range to make the rubber more flexible.This would allow inserting the rubberized bushing with less force and at a higher speed without damage.A study of the change in the elastic properties of the rubberized Designs 2023, 7, 132 14 of 19 bushing with temperature is needed to determine the suitable temperature for the process.A combination of the two solution alternatives can also be considered.

"Diameter Difference" vs. "Contact Pressure"
The outside bushing diameter is made larger than the socket diameter so that a press-fit is obtained.The less the dimeter difference, the less the pressing force needed.However, by decreasing the diameter difference, the contact pressure also decreases, which is undesirable because a relatively high contact pressure is needed to keep bushings in place.So, the improved parameter is "Diameter Difference", and the worsened parameter is "Contact Pressure."The standard feature closest to the improved parameter is "3.Length of moving object", and is "11.Pressure" for the worsened parameter.
Looking up the Contradiction Matrix, the numbers of the recommended inventive principles are 1: Segmentation, 8: Counter Force, and 35: Parameter Change.The Segmentation Principle suggests segmenting the bushing so that it can be "folded" prior to insertion and "deployed" after insertion.The Parameter Change principle leads us to the idea of heating up the rubberized bushings, as mentioned in the previous section.Rubberized bushings are softened by heating, which simplifies the insertion process, and the contact pressure is recovered as the rubber cools down and hardens.

"Press Speed" vs. "Calibration Frequency"
When the press speed is increased, the octagonal hydraulic piston rod loses its orientation more quickly and hence needs recalibration more frequently.So, the improved parameter is "Press Speed", and the worsened parameter is "Calibration Frequency."The standard feature closest to the improved parameter is "9.Speed" and is "15.Duration of action by moving object" for the worsened parameter.Using the Contradiction Matrix, the numbers of the recommended inventive principles are 3: Local Quality, 19: Periodic Action, 35: Parameter Change, and 5: Merging.
The Local Quality Principle suggests that the press speed be decreased only at the insertion stage.The press speed can be increased at all other motion stages without harm to the operation or the calibration.The Periodic Action Principle would suggest replacing the continuous movement of the piston with a periodic pulse movement.The Merging Principle would bring us to the idea of combining (merging) the bushing insertion operation with the axle installation operation.The proposed idea suggests inserting the 5 bushings into the 5 sockets in one piston stroke.This requires some of the bushings to pass through more that one hole, which increases the probability of bushings damage.If the idea of elevating bushings temperature is also applied, the multiple passing can be done without damaging the bushings.Applying this combined solution eliminates the need for adjusting the orientation of the bushings, and hence eliminates the need for the frequent recalibration of the settings of the piston rod.Moreover, this solution allows transferring the 10-degree orientation setting to the track assembly workbench, making it a built-in rigid setting.

"Roundness" vs. "Productivity"
The broaching process aims to improve the roundness of the socket bore.Increasing the "Roundness" parameter decreases the "Productivity" since a secondary operation (broaching) is required.Hence, the improved parameter is "Roundness", and the worsened parameter is "Productivity".The standard feature closest to the improved parameter is "12.Shape", and is "39.Productivity" for the worsened parameter.Using the Contradiction Matrix, the numbers of the recommended inventive principles are 17: Another Dimension, 26: Use of Copies, 34: Discard and Recover, and 10: Prior Action.
The Prior Action principle leads to thinking about taking measures to improve socket roundness and inner surface finish to eliminate the need for the broaching process.This implies improving control over the casting process and mold design.On the other hand, the solution concepts discussed in the sections above also relieve the problems arising from the out-of-roundness defect.The broaching process can then be eliminated, hence resolving the contradiction.1.Time to assemble segment 4. Ease of handling assembly parts 7. Quality 10.Position of control knobs 2. Number of damaged bushings 3. Ease of disassembly 9. Ease of machine operating 12. Material handling 11.Need for re-calibration 5. Total cost 8.Durability 6.Power consumption 13.Safety and ergonomics  Cast track links come with unacceptable inner surface roughness.Increased "Roughness" parameter decreases "Productivity".So, the improved parameter is "Roughness", and the worsened parameter is "Productivity".The standard feature closest to the improved parameter is "12.Shape", and is "39.Productivity" for the worsened parameter.Using the Contradiction Matrix, the numbers of the recommended inventive principles are 17: Another Dimension, 26: Use of Copies, 34: Discard and Recover, and 10: Prior Action.The inventive principles are like those recommended for "Roundness" vs. "Productivity" above.Therefore, the same solution (Prior Action) resolves this contradiction.
The proposed design combines the solutions generated from resolving of the design parameter contradictions: (1) Using a mediator with a truncated conical hole to facilitate the bushings pressing process, (2) Heating up the rubberized bushings to increase their flexibility to simplify the pressing process and reduce the bushings damage, (3) Combining (merging) the bushing insertion process with the track axle installation process, and (4) Controlling the casting process quality to eliminate the broaching operation.Prior to implementing the final design of the assembly workshop, the values of the free-design parameters (Control keys Position and Workbench Height) that result in ergonomic problems are set.To free the hands of the machine operator and decrease physical effort, the hydraulic press control knob, which is located at knee height in the current design, is redesigned to be placed on the floor and foot actuated.Moreover, the height of the workbench, not ergonomically set in the current design, is readjusted to the ergonomic height range the operators as recommended in [40].
Following resolving the critical contradiction between the design parameters, the critical contradictions between the customer requirements are re-inspected to find out if they have been resolved.Only one critical contradiction between the customer requirements, "1.Time to Assemble Segment" vs. "2.Number of Damaged Bushings" with a contradiction index of 1.66, is identified.In this contradiction, the customers require reducing the total time to assemble each track segment without damaging the bushings.This contradiction has been resolved by the solutions developed for resolving contradictions between other design parameters.

The Proposed Design
The new design, shown in Figure 7, suggests producing the track link segments on one machine rather than three machines.The new design of the workstation has the following features: (1) A short steel bar with a truncated conical hole is used in front of piston rod at an adjustable distance, (2) A pair of track links is assembled on one machine workbench.The links are fixed on the machine top surface fixture that allows positioning one link horizontally while the other link is inclined at 10-degrees to horizontal, (3) The machine has a long workbench that accommodates up to eight track links at the same time.The height of the workbench is within the ergonomic range, (4) The hydraulic knob controller is located on the floor under the machine and operated by foot, and (5) A low-temperature furnace is used to heat up the rubberized bushings before the fitting process.The proposed assembly process of a track link segment would proceed as follows: (1) Heat the rubberized bushings to suitable working temperature in the low-temperature furnace, (2) Install two track links in the assembly fixture, (3) Place five rubberized bushings on the piston rod, and then press it sequentially into the assembled links sockets through the steel conical part in one stroke, (4) Insert the link axel through the assembled rubberized bushings, (5) Assemble another track link to the previous two links already assembled, and (6) Repeat the process to complete assembling eight links, the final product.
The proposed assembly process of a track link segment would proceed as follows: (1) Heat the rubberized bushings to suitable working temperature in the low-temperature furnace, (2) Install two track links in the assembly fixture, (3) Place five rubberized bushings on the piston rod, and then press it sequentially into the assembled links sockets through the steel conical part in one stroke, (4) Insert the link axel through the assembled rubberized bushings, (5) Assemble another track link to the previous two links already assembled, and (6) Repeat the process to complete assembling eight links, the final product.The proposed design solution incorporates several new features directed at improving the overall process in comparison with the existing one.The new design (1) saves time and improves the productivity of the workshop, (2) decreases the costs through the elimination of some processes and the reduction in bushings damage, (3) improves worker time utilization and decreases the number of workers: 2 workers can collaborate to complete the process activities compared to 4 workers in the current design, (4) eliminates the need to adjust the orientation of the bushings, which is set on the piston rod (which loses its setting over time) in the existing design, (5) decreases the need for multiple re-fixturing (fix-remove-transport-fix) in the current design to fixturing only once, (6) eliminates the The proposed design solution incorporates several new features directed at improving the overall process in comparison with the existing one.The new design (1) saves time and improves the productivity of the workshop, (2) decreases the costs through the elimination of some processes and the reduction in bushings damage, (3) improves worker time utilization and decreases the number of workers: 2 workers can collaborate to complete the process activities compared to 4 workers in the current design, (4) eliminates the need to adjust the orientation of the bushings, which is set on the piston rod (which loses its setting over time) in the existing design, (5) decreases the need for multiple re-fixturing (fixremove-transport-fix) in the current design to fixturing only once, (6) eliminates the need for material handling between machines, and (7) enhances work ergonomics by reducing the physical and mental efforts of operators.

Conclusions
The paper develops and implements a methodology to integrate TRIZ and QFD for the innovative redesign of an assembly workstation.The methodology modifies the HoQ to analytically weigh up the various customer requirements and translate them to weighted design parameters, and to reveal and prioritize contradictions between design parameters and between customer requirements.Consequently, the modified HoQ reduces the need for the alternative TRIZ Functional Analysis procedure to identify contradiction.Applying the proposed methodology to redesign an assembly workshop illustrates the ability of the proposed methodology to solve complicated and complex design problems.The proposed method is limited to the use of significant process redesign and is not suitable for simple process improvement.The new assembly workshop design resolved the many major assembly problems addressed by the various stakeholders of the process and improved the overall system efficiency.

Figure 1 .
Figure 1.Modified House of Quality.

Figure 1 .
Figure 1.Modified House of Quality.

Figure 2 .
Figure 2. The modified HoQ with all notations.

Figure 2 .
Figure 2. The modified HoQ with all notations.
Point up arrow: The higher the better.Point down arrow: Lower is better.

Figure 6 .
Figure 6.Complete modified HoQ for the assembly workshop.

Figure 6 .
Figure 6.Complete modified HoQ for the assembly workshop.

Figure 7 .
Figure 7.The proposed design of the assembly workstation.

Figure 7 .
Figure 7.The proposed design of the assembly workstation.

Table 2 .
Importance weights for the workshop customers.

Table 3 .
The customer requirements of the assembly workshop.

Table 4 .
The relative importance of the customer requirements.

Table 5 .
The design parameters of the assembly workshop.

Table 6 .
The relationship between the customer requirements and the design parameters of the assembly workshop.

Table 7 .
Target values of the design parameters.

Table 8 .
Relationships between design parameters for the assembly workshop.