A multiobjective approach for optimization of the multihead weighing process

Pulido-Rojano, Alexander; García-Díaz, J. Carlos; Giner‐Bosch, Vicent

doi:10.1109/iesm.2015.7380192

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…The machine was configured with a set of weigh hoppers and reconfigured into subassemblies to weight the content of a package. In the process, weight hoppers measure products and select those whose sum is greater and closer to a given target (T) 44 . The machine distributes product weights into subsets of weighing hoppers supported by a computerized algorithm to seek the best combination for fast and accurate dosage.…”

Section: Applicationmentioning

confidence: 99%

A CUSUM control chart for gamma distribution with guaranteed performance

Madrid‐Alvarez,

García‐Díaz,

Tercero‐Gómez

2023

Quality & Reliability Eng

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Even though most control chart developments have revolved around the normal distribution, productive operations, in fact, often use non‐normal data, and some even use skewed distributions. This occurs with cycle times and many processes with a single specification limit. Under these conditions, gamma distributions often offer a better characterization where CUSUM schemes provide optimal performance to detect changes of a known in‐control (IC) parameter. In practice, gamma parameters have to be estimated, and limited phase I samples have undesirable effects on the phase II average run length (ARL) that has not been examined. To address this situation, this study uses Markovian models to assess the ARL of a CUSUM developed to monitor scale changes when IC parameters are estimated. This paper discusses the conditional ARL performance and proposes an adaptation of a stochastic estimation algorithm to guarantee a minimum performance. IC and out‐of‐control performance is compared with the conditional performance of a traditional approach where no corrections are made to guarantee a specific behavior. To demonstrate the practical application of this new approach, an implementation was made in a packaging process using multihead weighing machines. Practitioners interested in using reliable monitoring schemes will find, in this proposal, several implementation guidelines such as algorithms and look up tables to facilitate their implementations.

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Section: Applicationmentioning

confidence: 99%

A CUSUM control chart for gamma distribution with guaranteed performance

Madrid‐Alvarez,

García‐Díaz,

Tercero‐Gómez

2023

Quality & Reliability Eng

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“…c A set of weighing hoppers for static weighing of product, essential for the calculation of all the possible weight combinations and thereby, dispense the best combination (closest match to the target weight) to a packaging machine (Pulido-Rojano et al, 2015;.…”

Section: Packing Processmentioning

confidence: 99%

“…García-Díaz (2014), andGarcía-Díaz (2016) proposed to study the filling setting of hoppers as a way to reduce variability in the packing process. Moreover, Pulido-Rojano et al (2015) presented a multiobjective approach for optimisation of the multihead weighing process; they showed how the relative importance of considered objectives (package weight and 'priority' of the hoppers) can be dynamically managed and adjusted. Beretta et al (2016) proposed to determine the optimal flow rate of each radial feeder through the employment of several optimisation algorithms, where the objective function was to minimise the expected value of the production cost per 'conforming' package in a fixed time period.…”

Section: Literature Reviewmentioning

confidence: 99%

Performance analysis and optimisation of new strategies for the setup of a multihead weighing process

García-Díaz

Pulido-Rojano

2020

EJIE

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This paper highlights the benefits of multihead weighing, a packaging process based on the sum of weights of several individual hoppers wherein total weight of the packed product must be close to a specified target weight while complying with applicable regulations. The paper details into performance analysis and optimisation of new strategies for setting-up the process to achieve an optimal configuration of the machine. Three strategies, designed to optimise the packaging process, are analysed and compared in terms of supplying products to the hoppers. A factorial design of the experimental model is exploited to predict the measures of performance as a function of a variety of control settings. Results of the numerical experiments are used to analyse the sources of variability and to identify the optimum operating conditions for the multihead weigher. Therefore, the findings of this paper will benefit both manufacturer and users of the multihead weigher machine. [

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“…These weighing systems comprise three elements: a (linear) vibratory feeder system to automatically feed the product to the weighing stations; a system to collect the products and feed them to the feed hoppers; and a set of weighing hoppers that statically weigh the products, calculate all possible weight combinations, and dispense the best combination (closest match to the target weight) to a packaging machine. A detailed description of the arrangement of feeders and hoppers in a typical multihead weighing system can be found in Pulido-Rojano et al (2015), and Figure 1 shows the basic components of such a system.…”

Section: Multihead Weighing Machinesmentioning

confidence: 99%

Optimisation algorithms for improvement of a multihead weighing process

Rojano

Diaz

2019

IJPQM

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Mathematical optimisation is widely used to find the optimal value for an objective function, subject to constraints that try to simulate reality, and is fundamental to improving industrial processes. In this paper, we compare different optimisation approaches to solve the packaging problem in multihead weighing machines. In this problem, each package is made up from the loads in a subset of the multihead weigher's hoppers. The total weight of the packed product must be as close to a specified target weight as possible. We designed and evaluated a set of algorithms for this problem, considering both single-objective and bi-objective optimisation criteria. A new criterion for creating the packages is considered, and a different way of filling of the hoppers is studied with the aim of reducing process variability. Numerical experiments considering both a set of real data and the most important process performance parameters show the usefulness of our study.

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A multiobjective approach for optimization of the multihead weighing process

Cited by 7 publications

References 13 publications

A CUSUM control chart for gamma distribution with guaranteed performance

A CUSUM control chart for gamma distribution with guaranteed performance

Performance analysis and optimisation of new strategies for the setup of a multihead weighing process

Optimisation algorithms for improvement of a multihead weighing process

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